Index

_

__init__() (sympy.vector.coordsysrect.CoordSys3D method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.BodyOrienter method) (sympy.vector.orienters.QuaternionOrienter method) (sympy.vector.orienters.SpaceOrienter method) _base_ordering() (in module sympy.combinatorics.util) _check_cycles_alt_sym() (in module sympy.combinatorics.util) _cmp_perm_lists() (in module sympy.combinatorics.testutil) _distribute_gens_by_base() (in module sympy.combinatorics.util) _handle_precomputed_bsgs() (in module sympy.combinatorics.util) _is_exponential() (in module sympy.solvers.solveset) _is_logarithmic() (in module sympy.solvers.solveset) _linear_2eq_order1_type1() (in module sympy.solvers.ode) _linear_2eq_order1_type2() (in module sympy.solvers.ode) _linear_2eq_order1_type3() (in module sympy.solvers.ode) _linear_2eq_order1_type4() (in module sympy.solvers.ode) _linear_2eq_order1_type5() (in module sympy.solvers.ode) _linear_2eq_order1_type6() (in module sympy.solvers.ode) _linear_2eq_order1_type7() (in module sympy.solvers.ode) _linear_2eq_order2_type1() (in module sympy.solvers.ode) _linear_2eq_order2_type10() (in module sympy.solvers.ode) _linear_2eq_order2_type11() (in module sympy.solvers.ode) _linear_2eq_order2_type2() (in module sympy.solvers.ode) _linear_2eq_order2_type3() (in module sympy.solvers.ode) _linear_2eq_order2_type4() (in module sympy.solvers.ode) _linear_2eq_order2_type5() (in module sympy.solvers.ode) _linear_2eq_order2_type6() (in module sympy.solvers.ode) _linear_2eq_order2_type7() (in module sympy.solvers.ode) _linear_2eq_order2_type8() (in module sympy.solvers.ode)

_linear_2eq_order2_type9() (in module sympy.solvers.ode) _linear_3eq_order1_type1() (in module sympy.solvers.ode) _linear_3eq_order1_type2() (in module sympy.solvers.ode) _linear_3eq_order1_type3() (in module sympy.solvers.ode) _linear_3eq_order1_type4() (in module sympy.solvers.ode) _linear_neq_order1_type1() (in module sympy.solvers.ode) _naive_list_centralizer() (in module sympy.combinatorics.testutil) _nonlinear_2eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type5() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type5() (in module sympy.solvers.ode) _orbits_transversals_from_bsgs() (in module sympy.combinatorics.util) _print() (sympy.printing.printer.Printer method) _remove_gens() (in module sympy.combinatorics.util) _solve_exponential() (in module sympy.solvers.solveset) _solve_logarithm() (in module sympy.solvers.solveset) _strip() (in module sympy.combinatorics.util) _strong_gens_from_distr() (in module sympy.combinatorics.util) _TensorManager (class in sympy.tensor.tensor) _transolve() (in module sympy.solvers.solveset) _verify_bsgs() (in module sympy.combinatorics.testutil) _verify_centralizer() (in module sympy.combinatorics.testutil) _verify_normal_closure() (in module sympy.combinatorics.testutil)

A

A (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) a (sympy.physics.quantum.shor.CMod attribute) a1pt_theory() (sympy.physics.vector.point.Point method) a2idx() (in module sympy.matrices.matrices) a2pt_theory() (sympy.physics.vector.point.Point method) a_interval (sympy.sets.fancysets.ComplexRegion attribute) abbrev (sympy.physics.units.quantities.Quantity attribute) AbelianGroup() (in module sympy.combinatorics.named_groups) above() (sympy.printing.pretty.stringpict.stringPict method) Abs (class in sympy.functions.elementary.complexes) abs() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) acc() (sympy.physics.vector.point.Point method) accepted_latex_functions (in module sympy.printing.latex) acos (class in sympy.functions.elementary.trigonometric) acosh (class in sympy.functions.elementary.hyperbolic) acot (class in sympy.functions.elementary.trigonometric) acoth (class in sympy.functions.elementary.hyperbolic) acsc (class in sympy.functions.elementary.trigonometric) acsch (class in sympy.functions.elementary.hyperbolic) Add (class in sympy.core.add) add() (sympy.algebras.Quaternion method) (sympy.assumptions.assume.AssumptionsContext method) Add() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) add() (sympy.matrices.matrices.MatrixBase method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) add_as_roots() (sympy.liealgebras.root_system.RootSystem method) add_gens() (sympy.polys.rings.PolyRing method) add_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) add_simple_roots() (sympy.liealgebras.root_system.RootSystem method) adjoint() (sympy.matrices.common.MatrixCommon method) adjugate() (sympy.matrices.matrices.MatrixDeterminant method) affine_rank() (sympy.geometry.point.Point static method) airyai (class in sympy.functions.special.bessel) airyaiprime (class in sympy.functions.special.bessel) AiryBase (class in sympy.functions.special.bessel) airybi (class in sympy.functions.special.bessel) airybiprime (class in sympy.functions.special.bessel) alg_con (sympy.physics.mechanics.system.SymbolicSystem attribute) algebraic (sympy.assumptions.ask.AssumptionKeys attribute) algebraic_field() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.RationalField method) (sympy.polys.domains.domain.Domain method) AlgebraicField (class in sympy.polys.domains) AlgebraicNumber (class in sympy.polys.numberfields) alignof() (in module sympy.codegen.cnodes) all_coeffs() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_roots() (sympy.liealgebras.root_system.RootSystem method) (sympy.polys.polytools.Poly method) all_terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) allhints (in module sympy.solvers.ode) allocated() (in module sympy.codegen.fnodes) almosteq() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) (sympy.polys.rings.PolyElement method) alternating() (sympy.combinatorics.generators method) AlternatingGroup() (in module sympy.combinatorics.named_groups) altitudes (sympy.geometry.polygon.Triangle attribute) ambient_dimension (sympy.geometry.entity.GeometryEntity attribute) (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.point.Point attribute) amplitude (sympy.physics.optics.waves.TWave attribute) an (sympy.functions.special.hyper.meijerg attribute) And (class in sympy.logic.boolalg) ang_acc_in() (sympy.physics.vector.frame.ReferenceFrame method) ang_vel_in() (sympy.physics.vector.frame.ReferenceFrame method) angle (sympy.physics.optics.gaussopt.GeometricRay attribute) angle_between() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) angles (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) angular_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) angular_velocity (sympy.physics.optics.waves.TWave attribute) AnnihilateBoson (class in sympy.physics.secondquant) AnnihilateFermion (class in sympy.physics.secondquant) annotated() (in module sympy.printing.pretty.pretty_symbology) ANP (class in sympy.polys.polyclasses) AntiCommutator (class in sympy.physics.quantum.anticommutator) antidivisor_count() (in module sympy.ntheory.factor_) antidivisors() (in module sympy.ntheory.factor_) antihermitian (sympy.assumptions.ask.AssumptionKeys attribute) AntiSymmetricTensor (class in sympy.physics.secondquant) aother (sympy.functions.special.hyper.meijerg attribute) ap (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) apart() (in module sympy.polys.partfrac) (sympy.core.expr.Expr method) apart_list() (in module sympy.polys.partfrac) apoapsis (sympy.geometry.ellipse.Ellipse attribute) apothem (sympy.geometry.polygon.RegularPolygon attribute) append() (sympy.plotting.plot.Plot method) applied_loads (sympy.physics.continuum_mechanics.beam.Beam attribute) AppliedPredicate (class in sympy.assumptions.assume) apply() (sympy.printing.pretty.stringpict.prettyForm static method) (sympy.simplify.epathtools.EPath method) apply_finite_diff() (in module sympy.calculus.finite_diff) apply_force() (sympy.physics.mechanics.body.Body method) apply_grover() (in module sympy.physics.quantum.grover) apply_load() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) apply_moment_load() (sympy.physics.continuum_mechanics.beam.Beam3D method) apply_operator() (sympy.physics.secondquant.AnnihilateBoson method) (sympy.physics.secondquant.AnnihilateFermion method) (sympy.physics.secondquant.CreateBoson method) (sympy.physics.secondquant.CreateFermion method) apply_operators() (in module sympy.physics.secondquant) apply_support() (sympy.physics.continuum_mechanics.beam.Beam method) apply_torque() (sympy.physics.mechanics.body.Body method) applyfunc() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.sparse.SparseMatrix method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) approximation() (sympy.core.numbers.NumberSymbol method) arbitrary_point() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.geometry.polygon.Polygon method) Arcsin() (in module sympy.stats) are_collinear() (sympy.geometry.point.Point3D static method)

are_concurrent() (sympy.geometry.line.LinearEntity static method) (sympy.geometry.plane.Plane static method) are_coplanar() (sympy.geometry.point.Point class method) are_similar() (in module sympy.geometry.util) area (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.physics.continuum_mechanics.beam.Beam3D attribute) arg (class in sympy.functions.elementary.complexes) (sympy.assumptions.assume.AppliedPredicate attribute) args (sympy.core.basic.Basic attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.polys.polytools.Poly attribute) args_cnc() (sympy.core.expr.Expr method) Argument (class in sympy.utilities.codegen) argument (sympy.functions.special.bessel.BesselBase attribute) (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) array() (in module sympy.codegen.fnodes) array_form (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) ArrayConstructor (class in sympy.codegen.fnodes) ArrowStringDescription (class in sympy.categories.diagram_drawing) as_base_exp() (sympy.core.function.Function method) (sympy.core.power.Pow method) as_coeff_Add() (sympy.core.add.Add method) as_coeff_add() (sympy.core.add.Add method) as_coeff_Add() (sympy.core.expr.Expr method) as_coeff_add() (sympy.core.expr.Expr method) as_coeff_Add() (sympy.core.numbers.Number method) (sympy.core.numbers.Rational method) as_coeff_exponent() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.expr.Expr method) as_coeff_mul() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.mul.Mul method) (sympy.core.numbers.Number method) (sympy.core.numbers.Rational method) (sympy.core.numbers.Zero method) (sympy.matrices.expressions.MatrixExpr method) as_coefficient() (sympy.core.expr.Expr method) as_coefficients_dict() (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) as_content_primitive() (sympy.core.add.Add method) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) (sympy.core.numbers.Rational method) (sympy.core.power.Pow method) as_Declaration() (sympy.codegen.ast.Variable method) as_dict() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.polys.polytools.Poly method) as_dummy() (sympy.core.basic.Basic method) as_explicit() (sympy.matrices.expressions.MatrixExpr method) as_expr() (sympy.core.expr.Expr method) (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polytools.Poly method) as_ferrers() (sympy.combinatorics.partitions.IntegerPartition method) as_finite_diff() (in module sympy.calculus.finite_diff) as_finite_difference() (sympy.core.function.Derivative method) as_immutable() (sympy.matrices.sparse.SparseMatrix method) as_independent() (sympy.core.expr.Expr method) as_int() (in module sympy.core.compatibility) as_leading_term() (sympy.core.expr.Expr method) as_list() (sympy.polys.polytools.Poly method) as_mutable() (sympy.matrices.expressions.MatrixExpr method) (sympy.matrices.sparse.SparseMatrix method) as_numer_denom() (sympy.core.expr.Expr method) as_ordered_factors() (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) as_ordered_terms() (sympy.core.expr.Expr method) as_poly() (sympy.core.basic.Basic method) (sympy.polys.numberfields.AlgebraicNumber method) as_powers_dict() (sympy.core.expr.Expr method) as_real_imag() (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.functions.elementary.complexes.im method) (sympy.functions.elementary.complexes.re method) (sympy.matrices.common.MatrixCommon method) as_relational() (sympy.sets.sets.FiniteSet method) (sympy.sets.sets.Intersection method) (sympy.sets.sets.Interval method) (sympy.sets.sets.Union method) as_sum() (sympy.integrals.Integral method) as_terms() (sympy.core.expr.Expr method) as_two_terms() (sympy.core.add.Add method) (sympy.core.mul.Mul method) ascents() (sympy.combinatorics.permutations.Permutation method) asec (class in sympy.functions.elementary.trigonometric) asech (class in sympy.functions.elementary.hyperbolic) asin (class in sympy.functions.elementary.trigonometric) asinh (class in sympy.functions.elementary.hyperbolic) ask() (in module sympy.assumptions.ask) ask_full_inference() (in module sympy.assumptions.ask) AskAlgebraicHandler (class in sympy.assumptions.handlers.sets) AskAntiHermitianHandler (class in sympy.assumptions.handlers.sets) AskComplexHandler (class in sympy.assumptions.handlers.sets) AskExtendedRealHandler (class in sympy.assumptions.handlers.sets) AskFiniteHandler (class in sympy.assumptions.handlers.calculus) AskHermitianHandler (class in sympy.assumptions.handlers.sets) AskImaginaryHandler (class in sympy.assumptions.handlers.sets) AskIntegerHandler (class in sympy.assumptions.handlers.sets) AskNegativeHandler (class in sympy.assumptions.handlers.order) AskNonZeroHandler (class in sympy.assumptions.handlers.order) AskOddHandler (class in sympy.assumptions.handlers.ntheory) AskPositiveHandler (class in sympy.assumptions.handlers.order) AskPrimeHandler (class in sympy.assumptions.handlers.ntheory) AskRationalHandler (class in sympy.assumptions.handlers.sets) AskRealHandler (class in sympy.assumptions.handlers.sets) assemble_partfrac_list() (in module sympy.polys.partfrac) Assignment (class in sympy.codegen.ast) (class in sympy.printing.codeprinter) AssignmentBase (class in sympy.codegen.ast) AssignmentError assoc_laguerre (class in sympy.functions.special.polynomials) assoc_legendre (class in sympy.functions.special.polynomials) assoc_recurrence_memo() (in module sympy.utilities.memoization) assuming() (in module sympy.assumptions.assume) AssumptionKeys (class in sympy.assumptions.ask) assumptions0 (sympy.core.basic.Basic attribute) AssumptionsContext (class in sympy.assumptions.assume) atan (class in sympy.functions.elementary.trigonometric) atan2 (class in sympy.functions.elementary.trigonometric) atanh (class in sympy.functions.elementary.hyperbolic) Atom (class in sympy.core.basic) AtomicExpr (class in sympy.core.expr) atoms() (sympy.combinatorics.permutations.Permutation method) (sympy.core.basic.Basic method) (sympy.matrices.common.MatrixCommon method) atoms_table (in module sympy.printing.pretty.pretty_symbology) attr_params() (sympy.codegen.ast.Node method) Attribute (class in sympy.codegen.ast) aug_assign() (in module sympy.codegen.ast) AugmentedAssignment (class in sympy.codegen.ast) auto_number() (in module sympy.parsing.sympy_parser) auto_symbol() (in module sympy.parsing.sympy_parser) autowrap() (in module sympy.utilities.autowrap) auxiliary_circle() (sympy.geometry.ellipse.Ellipse method) auxiliary_eqs (sympy.physics.mechanics.kane.KanesMethod attribute) axial_force() (sympy.physics.continuum_mechanics.beam.Beam3D method) AxisOrienter (class in sympy.vector.orienters) AZ() (in module sympy.crypto.crypto)

B

B (in module sympy.physics.secondquant) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) b_interval (sympy.sets.fancysets.ComplexRegion attribute) base (sympy.combinatorics.perm_groups.PermutationGroup attribute) (sympy.tensor.indexed.Indexed attribute) base_oneform() (sympy.diffgeom.CoordSystem method) base_oneforms() (sympy.diffgeom.CoordSystem method) base_solution_linear() (in module sympy.solvers.diophantine) base_vector() (sympy.diffgeom.CoordSystem method) base_vectors() (sympy.diffgeom.CoordSystem method) BaseCovarDerivativeOp (class in sympy.diffgeom) BasePolynomialError (class in sympy.polys.polyerrors) BaseScalarField (class in sympy.diffgeom) BaseSeries (class in sympy.plotting.plot) baseswap() (sympy.combinatorics.perm_groups.PermutationGroup method) BaseVectorField (class in sympy.diffgeom) Basic (class in sympy.core.basic) basic_orbits (sympy.combinatorics.perm_groups.PermutationGroup attribute) basic_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) basic_stabilizers (sympy.combinatorics.perm_groups.PermutationGroup attribute) basic_transversals (sympy.combinatorics.perm_groups.PermutationGroup attribute) basis() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) (sympy.polys.agca.modules.FreeModule method) BBra (in module sympy.physics.secondquant) Bd (in module sympy.physics.secondquant) Beam (class in sympy.physics.continuum_mechanics.beam) Beam3D (class in sympy.physics.continuum_mechanics.beam) BeamParameter (class in sympy.physics.optics.gaussopt) bell (class in sympy.functions.combinatorial.numbers) below() (sympy.printing.pretty.stringpict.stringPict method) bending_moment() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) Benini() (in module sympy.stats) bernoulli (class in sympy.functions.combinatorial.numbers) Bernoulli() (in module sympy.stats) BesselBase (class in sympy.functions.special.bessel) besseli (class in sympy.functions.special.bessel) besselj (class in sympy.functions.special.bessel) besselk (class in sympy.functions.special.bessel) besselsimp() (in module sympy.simplify.simplify) bessely (class in sympy.functions.special.bessel)

beta (class in sympy.functions.special.beta_functions) Beta() (in module sympy.stats) BetaPrime() (in module sympy.stats) bifid5_square() (in module sympy.crypto.crypto), [1] bifid6_square() (in module sympy.crypto.crypto) bin_to_gray() (sympy.combinatorics.graycode method) binary_function() (in module sympy.utilities.autowrap) binary_partitions() (in module sympy.utilities.iterables) bind_C() (in module sympy.codegen.fnodes) binomial (class in sympy.functions.combinatorial.factorials) Binomial() (in module sympy.stats) binomial_coefficients() (in module sympy.ntheory.multinomial) binomial_coefficients_list() (in module sympy.ntheory.multinomial) bisectors() (sympy.geometry.polygon.Triangle method) bitlist_from_subset() (sympy.combinatorics.subsets.Subset class method) BKet (in module sympy.physics.secondquant) block_collapse() (in module sympy.matrices.expressions.blockmatrix) BlockDiagMatrix (class in sympy.matrices.expressions.blockmatrix) BlockMatrix (class in sympy.matrices.expressions.blockmatrix) bm (sympy.functions.special.hyper.meijerg attribute) bodies (sympy.physics.mechanics.system.SymbolicSystem attribute) Body (class in sympy.physics.mechanics.body) BodyOrienter (class in sympy.vector.orienters) bool_map() (in module sympy.logic.boolalg) BooleanFalse (class in sympy.logic.boolalg) BooleanTrue (class in sympy.logic.boolalg) BosonicBasis (class in sympy.physics.secondquant) bother (sympy.functions.special.hyper.meijerg attribute) bound_symbols (sympy.core.function.Lambda attribute) (sympy.core.function.Subs attribute) boundary (sympy.sets.sets.Set attribute) boundary_conditions (sympy.physics.continuum_mechanics.beam.Beam attribute) (sympy.physics.continuum_mechanics.beam.Beam3D attribute) bounded (sympy.assumptions.ask.AssumptionKeys attribute) bounds (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.entity.GeometryEntity attribute) (sympy.geometry.line.LinearEntity2D attribute) (sympy.geometry.point.Point2D attribute) (sympy.geometry.polygon.Polygon attribute) bq (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) Bra (class in sympy.physics.quantum.state) bra (sympy.physics.quantum.operator.OuterProduct attribute) (sympy.physics.secondquant.InnerProduct attribute) BraBase (class in sympy.physics.quantum.state) bracelets() (in module sympy.utilities.iterables) BreakToken (class in sympy.codegen.ast) brewster_angle() (in module sympy.physics.optics.utils) bsgs_direct_product() (in module sympy.combinatorics.tensor_can) bspline_basis() (in module sympy.functions.special.bsplines) bspline_basis_set() (in module sympy.functions.special.bsplines) build_expression_tree() (in module sympy.series.gruntz)

C

C (sympy.matrices.common.MatrixCommon attribute) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) C89CodePrinter (class in sympy.printing.ccode) C99CodePrinter (class in sympy.printing.ccode) cacheit() (in module sympy.core.cache) calculate_series() (in module sympy.series.gruntz) can_transf_matrix (sympy.physics.units.dimensions.DimensionSystem attribute) canberra_distance() (sympy.geometry.point.Point method) cancel() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) canon_bp() (in module sympy.tensor.tensor) (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) canonical_variables (sympy.core.basic.Basic attribute) canonicalize() (in module sympy.combinatorics.tensor_can) capture() (in module sympy.utilities.iterables) cardinality (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.subsets.Subset attribute) cartan_matrix() (sympy.liealgebras.root_system.RootSystem method) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) CartanMatrix() (in module sympy.liealgebras.cartan_matrix) CartanType_generator (class in sympy.liealgebras.cartan_type) casoratian() (in module sympy.matrices.dense) cast_check() (sympy.codegen.ast.Type method) cast_nocheck (sympy.codegen.ast.FloatBaseType attribute) cast_nocheck() (sympy.codegen.ast.FloatType method) Catalan (class in sympy.core.numbers) catalan (class in sympy.functions.combinatorial.numbers) Category (class in sympy.categories) Cauchy() (in module sympy.stats) Cbrt (class in sympy.codegen.cfunctions) cbrt() (in module sympy.functions.elementary.miscellaneous) ccode() (in module sympy.printing.ccode) CCodeGen (class in sympy.utilities.codegen) ceiling (class in sympy.functions.elementary.integers) center (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.polygon.RegularPolygon attribute) center() (sympy.combinatorics.perm_groups.PermutationGroup method) central_inertia (sympy.physics.mechanics.rigidbody.RigidBody attribute) centralizer() (sympy.combinatorics.perm_groups.PermutationGroup method) centroid (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) centroid() (in module sympy.geometry.util) CG (class in sympy.physics.quantum.cg) cg_simp() (in module sympy.physics.quantum.cg) CGate (class in sympy.physics.quantum.gate) CGateS (class in sympy.physics.quantum.gate) characteristic() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) charpoly() (sympy.matrices.matrices.MatrixDeterminant method) chebyshevt (class in sympy.functions.special.polynomials) chebyshevt_poly() (in module sympy.polys.orthopolys) chebyshevt_root (class in sympy.functions.special.polynomials) chebyshevu (class in sympy.functions.special.polynomials) chebyshevu_poly() (in module sympy.polys.orthopolys) chebyshevu_root (class in sympy.functions.special.polynomials) check_and_join() (in module sympy.crypto.crypto) check_assumptions() (in module sympy.solvers.solvers) check_output() (sympy.utilities.runtests.SymPyOutputChecker method) checkinfsol() (in module sympy.solvers.ode) checkodesol() (in module sympy.solvers.ode) checkpdesol() (in module sympy.solvers.pde) checksol() (in module sympy.solvers.solvers) Chi (class in sympy.functions.special.error_functions) Chi() (in module sympy.stats) ChiNoncentral() (in module sympy.stats) ChiSquared() (in module sympy.stats) cholesky() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) cholesky_solve() (sympy.matrices.matrices.MatrixBase method) Ci (class in sympy.functions.special.error_functions) Circle (class in sympy.geometry.ellipse) circuit_plot() (in module sympy.physics.quantum.circuitplot) CircuitPlot (class in sympy.physics.quantum.circuitplot) circumcenter (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) circumcircle (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) circumference (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.ellipse.Ellipse attribute) circumradius (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) CL (sympy.matrices.sparse.SparseMatrix attribute) class_key() (sympy.core.add.Add class method) (sympy.core.basic.Basic class method) classify_diop() (in module sympy.solvers.diophantine) classify_ode() (in module sympy.solvers.ode) classify_pde() (in module sympy.solvers.pde) clear() (sympy.tensor.tensor._TensorManager method) clear_denoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) clebsch_gordan() (in module sympy.physics.wigner) closing_angle() (sympy.geometry.line.Ray2D method) closure (sympy.sets.sets.Set attribute) CMod (class in sympy.physics.quantum.shor) cmplx (class in sympy.codegen.fnodes) CNOT (in module sympy.physics.quantum.gate) CNotGate (class in sympy.physics.quantum.gate) CodeBlock (class in sympy.codegen.ast) CodeGen (class in sympy.utilities.codegen) codegen() (in module sympy.utilities.codegen) CodePrinter (class in sympy.printing.codeprinter) CodeWrapper (class in sympy.utilities.autowrap) codomain (sympy.categories.CompositeMorphism attribute) (sympy.categories.Morphism attribute) coeff() (sympy.core.expr.Expr method) (sympy.polys.rings.PolyElement method) (sympy.series.sequences.SeqBase method) coeff_monomial() (sympy.polys.polytools.Poly method) coeff_mul() (sympy.series.sequences.EmptySequence method) (sympy.series.sequences.SeqBase method) (sympy.series.sequences.SeqFormula method) (sympy.series.sequences.SeqPer method) coefficients (sympy.geometry.line.Line2D attribute) coeffs() (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) CoercionFailed (class in sympy.polys.polyerrors) cofactor() (sympy.matrices.matrices.MatrixDeterminant method) cofactor_matrix() (sympy.matrices.matrices.MatrixDeterminant method) cofactors() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) coherent_state() (in module sympy.physics.qho_1d) Coin() (in module sympy.stats) col() (sympy.matrices.common.MatrixCommon method) col_del() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_insert() (sympy.matrices.common.MatrixCommon method) col_join() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.sparse.MutableSparseMatrix method) col_list() (sympy.matrices.sparse.SparseMatrix method) col_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) collect() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) collect_const() (in module sympy.simplify.radsimp) collect_sqrt() (in module sympy.simplify.radsimp) columnspace() (sympy.matrices.matrices.MatrixSubspaces method) comb_explicit_rhs (sympy.physics.mechanics.system.SymbolicSystem attribute) comb_implicit_mat (sympy.physics.mechanics.system.SymbolicSystem attribute) comb_implicit_rhs (sympy.physics.mechanics.system.SymbolicSystem attribute) combsimp() (in module sympy.simplify.combsimp) (sympy.core.expr.Expr method) comm_i2symbol() (sympy.tensor.tensor._TensorManager method) comm_symbols2i() (sympy.tensor.tensor._TensorManager method) CommaOperator (class in sympy.codegen.cnodes) Comment (class in sympy.codegen.ast) common_prefix() (in module sympy.utilities.iterables) common_suffix() (in module sympy.utilities.iterables) commutative (sympy.assumptions.ask.AssumptionKeys attribute) commutative_diagrams (sympy.categories.Category attribute) Commutator (class in sympy.diffgeom) (class in sympy.physics.quantum.commutator) (class in sympy.physics.secondquant) commutator() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method) commutes_with() (sympy.combinatorics.permutations.Permutation method) (sympy.tensor.tensor.TensorHead method)

compare() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) Complement (class in sympy.sets.sets) complement() (sympy.sets.sets.Set method) complex (sympy.assumptions.ask.AssumptionKeys attribute) complex_elements (sympy.assumptions.ask.AssumptionKeys attribute) ComplexInfinity (class in sympy.core.numbers) ComplexRegion (class in sympy.sets.fancysets) ComplexRootOf (class in sympy.polys.rootoftools) ComplexSpace (class in sympy.physics.quantum.hilbert) ComplexType (class in sympy.codegen.ast) components (sympy.categories.CompositeMorphism attribute) (sympy.vector.dyadic.Dyadic attribute) (sympy.vector.vector.Vector attribute) compose() (in module sympy.polys.polytools) (sympy.categories.Morphism method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) composite (sympy.assumptions.ask.AssumptionKeys attribute) composite() (in module sympy.ntheory.generate) CompositeDomain (class in sympy.polys.domains.compositedomain) CompositeMorphism (class in sympy.categories) compositepi() (in module sympy.ntheory.generate) composition() (sympy.holonomic.holonomic.HolonomicFunction method) ComputationFailed (class in sympy.polys.polyerrors) compute_explicit_form() (sympy.physics.mechanics.system.SymbolicSystem method) compute_fps() (in module sympy.series.formal) compute_known_facts() (in module sympy.assumptions.ask) compute_leading_term() (sympy.core.expr.Expr method) conclusions (sympy.categories.Diagram attribute) condition_number() (sympy.matrices.matrices.MatrixBase method) ConditionalDomain (class in sympy.stats.rv) conjugate (class in sympy.functions.elementary.complexes) (sympy.combinatorics.partitions.IntegerPartition attribute) conjugate() (sympy.matrices.common.MatrixCommon method) conjugate_gauss_beams() (in module sympy.physics.optics.gaussopt) connect_to() (sympy.diffgeom.CoordSystem method) connected_components() (in module sympy.utilities.iterables) conserve_mpmath_dps() (in module sympy.utilities.decorator) const() (sympy.polys.rings.PolyElement method) constant_renumber() (in module sympy.solvers.ode) constant_symbols() (sympy.physics.mechanics.system.SymbolicSystem method) constantsimp() (in module sympy.solvers.ode) construct_domain() (in module sympy.polys.constructor) contains() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.geometry.line.Line method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) (sympy.polys.polytools.GroebnerBasis method) (sympy.series.order.Order method) (sympy.sets.sets.Set method) content() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) continued_fraction_convergents() (in module sympy.ntheory.continued_fraction) continued_fraction_iterator() (in module sympy.ntheory.continued_fraction) continued_fraction_periodic() (in module sympy.ntheory.continued_fraction) continued_fraction_reduce() (in module sympy.ntheory.continued_fraction) ContinueToken (class in sympy.codegen.ast) ContinuousDomain (class in sympy.stats.crv) ContinuousPSpace (class in sympy.stats.crv) ContinuousRV() (in module sympy.stats) contract_metric() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) contraction() (in module sympy.physics.secondquant) control_line() (sympy.physics.quantum.circuitplot.CircuitPlot method) control_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) controls (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) convergence_statement (sympy.functions.special.hyper.hyper attribute) convert() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) convert_from() (sympy.polys.domains.domain.Domain method) convert_to() (in module sympy.physics.units.util) (sympy.physics.units.quantities.Quantity method) convert_to_native_paths() (in module sympy.utilities.runtests) convert_xor() (in module sympy.parsing.sympy_parser) convex_hull() (in module sympy.geometry.util) convolution() (in module sympy.discrete.convolutions) convolution_fft() (in module sympy.discrete.convolutions) convolution_fwht() (in module sympy.discrete.convolutions) convolution_ntt() (in module sympy.discrete.convolutions) convolution_subset() (in module sympy.discrete.convolutions) coord_function() (sympy.diffgeom.CoordSystem method) coord_functions() (sympy.diffgeom.CoordSystem method) coord_tuple_transform_to() (sympy.diffgeom.CoordSystem method) coordinates (sympy.physics.mechanics.system.SymbolicSystem attribute) CoordinateSym (class in sympy.physics.vector.frame) coords() (sympy.diffgeom.Point method) CoordSys3D (class in sympy.vector.coordsysrect) CoordSystem (class in sympy.diffgeom) copy() (sympy.matrices.matrices.MatrixBase method) (sympy.polys.rings.PolyElement method) (sympy.series.gruntz.SubsSet method) copyin_list() (sympy.matrices.dense.MutableDenseMatrix method) copyin_matrix() (sympy.matrices.dense.MutableDenseMatrix method) core() (in module sympy.ntheory.factor_) cornacchia() (in module sympy.solvers.diophantine) corners (sympy.combinatorics.polyhedron.Polyhedron attribute) cos (class in sympy.functions.elementary.trigonometric) coset_factor() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_rank() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_table() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_transversal() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_unrank() (sympy.combinatorics.perm_groups.PermutationGroup method) cosh (class in sympy.functions.elementary.hyperbolic) cosine_transform() (in module sympy.integrals.transforms) cot (class in sympy.functions.elementary.trigonometric) coth (class in sympy.functions.elementary.hyperbolic) could_extract_minus_sign() (sympy.core.expr.Expr method) count() (sympy.core.basic.Basic method) count_complex_roots() (sympy.polys.polyclasses.DMP method) count_ops() (in module sympy.core.function) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) count_partitions() (sympy.utilities.enumerative.MultisetPartitionTraverser method) count_real_roots() (sympy.polys.polyclasses.DMP method) count_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) couple() (in module sympy.physics.quantum.spin) CovarDerivativeOp (class in sympy.diffgeom) Covariance (class in sympy.stats) covariance() (in module sympy.stats) covering_product() (in module sympy.discrete.convolutions) coxeter_diagram() (sympy.liealgebras.weyl_group.WeylGroup method) create_expand_pow_optimization() (in module sympy.codegen.rewriting) create_new() (sympy.vector.coordsysrect.CoordSys3D method) CreateBoson (class in sympy.physics.secondquant) CreateCGate() (in module sympy.physics.quantum.circuitplot) CreateFermion (class in sympy.physics.secondquant) critical_angle() (in module sympy.physics.optics.utils) cross() (in module sympy.physics.vector.functions) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) crt() (in module sympy.ntheory.modular) crt1() (in module sympy.ntheory.modular) crt2() (in module sympy.ntheory.modular) csc (class in sympy.functions.elementary.trigonometric) csch (class in sympy.functions.elementary.hyperbolic) cse() (in module sympy.simplify.cse_main) (sympy.codegen.ast.CodeBlock method) curl() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) current (sympy.combinatorics.graycode.GrayCode attribute) Curve (class in sympy.geometry.curve) CurvedMirror (class in sympy.physics.optics.gaussopt) CurvedRefraction (class in sympy.physics.optics.gaussopt) CXX11CodePrinter (class in sympy.printing.cxxcode) CXX98CodePrinter (class in sympy.printing.cxxcode) cxxcode() (in module sympy.printing.cxxcode) Cycle (class in sympy.combinatorics.permutations) cycle_length() (in module sympy.ntheory.generate) cycle_list() (in module sympy.crypto.crypto) cycle_structure (sympy.combinatorics.permutations.Permutation attribute) cycles (sympy.combinatorics.permutations.Permutation attribute) cyclic() (sympy.combinatorics.generators method) cyclic_form (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) CyclicGroup() (in module sympy.combinatorics.named_groups) cyclotomic_poly() (in module sympy.polys.specialpolys) CythonCodeWrapper (class in sympy.utilities.autowrap)

D

D (sympy.matrices.matrices.MatrixBase attribute) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) D() (sympy.physics.quantum.spin.Rotation class method) d() (sympy.physics.quantum.spin.Rotation class method) Dagger (class in sympy.physics.quantum.dagger) (class in sympy.physics.secondquant) Dagum() (in module sympy.stats) DataType (class in sympy.utilities.codegen) dcm() (sympy.physics.vector.frame.ReferenceFrame method) debug() (in module sympy.utilities.misc) debug_decorator() (in module sympy.utilities.misc) decimal_dig (sympy.codegen.ast.FloatType attribute) decipher_affine() (in module sympy.crypto.crypto) decipher_bifid() (in module sympy.crypto.crypto) decipher_bifid5() (in module sympy.crypto.crypto) decipher_bifid6() (in module sympy.crypto.crypto) decipher_elgamal() (in module sympy.crypto.crypto), [1] decipher_gm() (in module sympy.crypto.crypto) decipher_hill() (in module sympy.crypto.crypto) decipher_kid_rsa() (in module sympy.crypto.crypto) decipher_rsa() (in module sympy.crypto.crypto) decipher_shift() (in module sympy.crypto.crypto) decipher_vigenere() (in module sympy.crypto.crypto) Declaration (class in sympy.codegen.ast) decode_morse() (in module sympy.crypto.crypto) decompose() (in module sympy.polys.polytools) (sympy.physics.quantum.gate.CGate method) (sympy.physics.quantum.gate.SwapGate method) (sympy.physics.quantum.qft.IQFT method) (sympy.physics.quantum.qft.QFT method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) deduced() (sympy.codegen.ast.Variable class method) deflate() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) deflection() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) degree (sympy.combinatorics.perm_groups.PermutationGroup attribute) degree() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) degree_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) degrees() (sympy.polys.rings.PolyElement method) Del (class in sympy.vector.deloperator) delete_doubles() (sympy.liealgebras.weyl_group.WeylGroup method) delta (sympy.functions.special.hyper.meijerg attribute) denom() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) density() (in module sympy.stats) depth() (sympy.polys.agca.ideals.Ideal method) Derivative (class in sympy.core.function) derive_by_array() (in module sympy.tensor.array) derived_series() (sympy.combinatorics.perm_groups.PermutationGroup method) derived_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) descent() (in module sympy.solvers.diophantine) descents() (sympy.combinatorics.permutations.Permutation method) det() (sympy.matrices.matrices.MatrixDeterminant method) deviation() (in module sympy.physics.optics.utils) dh_private_key() (in module sympy.crypto.crypto) dh_public_key() (in module sympy.crypto.crypto) dh_shared_key() (in module sympy.crypto.crypto) diag() (in module sympy.matrices.dense) (sympy.matrices.common.MatrixCommon class method) diagonal (sympy.assumptions.ask.AssumptionKeys attribute) diagonal_solve() (sympy.matrices.matrices.MatrixBase method) diagonalize() (sympy.matrices.matrices.MatrixEigen method) Diagram (class in sympy.categories) DiagramGrid (class in sympy.categories.diagram_drawing) Dict (class in sympy.core.containers) dict_merge() (in module sympy.utilities.iterables) Die() (in module sympy.stats) DiePSpace (class in sympy.stats.frv_types) diff() (in module sympy.core.function) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.matrices.matrices.MatrixCalculus method) (sympy.physics.vector.vector.Vector method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) difference_delta() (in module sympy.series.limitseq) Differential (class in sympy.diffgeom) DifferentialOperator (class in sympy.physics.quantum.operator) differentiate_finite() (in module sympy.calculus.finite_diff) dig (sympy.codegen.ast.FloatType attribute) digamma() (in module sympy.functions.special.gamma_functions) digit_2txt (in module sympy.printing.pretty.pretty_symbology) digits() (in module sympy.ntheory.factor_) dihedral() (sympy.combinatorics.generators method) DihedralGroup() (in module sympy.combinatorics.named_groups) dim (sympy.physics.units.dimensions.DimensionSystem attribute) (sympy.physics.units.unitsystem.UnitSystem attribute) dim_can_vector() (sympy.physics.units.dimensions.DimensionSystem method) dim_vector() (sympy.physics.units.dimensions.DimensionSystem method) Dimension (class in sympy.physics.units.dimensions) dimension (sympy.physics.quantum.hilbert.HilbertSpace attribute) dimension() (in module sympy.codegen.fnodes) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) DimensionSystem (class in sympy.physics.units.dimensions) diop_bf_DN() (in module sympy.solvers.diophantine) diop_DN() (in module sympy.solvers.diophantine) diop_general_pythagorean() (in module sympy.solvers.diophantine) diop_general_sum_of_even_powers() (in module sympy.solvers.diophantine) diop_general_sum_of_squares() (in module sympy.solvers.diophantine) diop_linear() (in module sympy.solvers.diophantine) diop_quadratic() (in module sympy.solvers.diophantine) diop_solve() (in module sympy.solvers.diophantine) diop_ternary_quadratic() (in module sympy.solvers.diophantine) diop_ternary_quadratic_normal() (in module sympy.solvers.diophantine) diophantine() (in module sympy.solvers.diophantine) DiracDelta (class in sympy.functions.special.delta_functions) direction (sympy.geometry.line.LinearEntity attribute) direction_cosine (sympy.geometry.line.LinearEntity3D attribute) direction_cosine() (sympy.geometry.point.Point3D method) direction_ratio (sympy.geometry.line.LinearEntity3D attribute) direction_ratio() (sympy.geometry.point.Point3D method) DirectProduct() (in module sympy.combinatorics.group_constructs) dirichlet_eta (class in sympy.functions.special.zeta_functions) discrete_log() (in module sympy.ntheory.residue_ntheory) DiscreteUniform() (in module sympy.stats) discriminant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) dispersion() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) dispersionset() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) distance() (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.polygon.Polygon method) div() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) divergence (sympy.physics.optics.gaussopt.BeamParameter attribute) divergence() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) divisible() (in module sympy.solvers.diophantine) divisor_count() (in module sympy.ntheory.factor_) divisor_sigma (class in sympy.ntheory.factor_) divisors() (in module sympy.ntheory.factor_) DMF (class in sympy.polys.polyclasses) DMP (class in sympy.polys.polyclasses) dmp_abs() (in module sympy.polys.densearith) dmp_add() (in module sympy.polys.densearith) dmp_add_ground() (in module sympy.polys.densearith) dmp_add_mul() (in module sympy.polys.densearith) dmp_add_term() (in module sympy.polys.densearith) dmp_apply_pairs() (in module sympy.polys.densebasic) dmp_cancel() (in module sympy.polys.euclidtools) dmp_clear_denoms() (in module sympy.polys.densetools) dmp_compose() (in module sympy.polys.densetools) dmp_content() (in module sympy.polys.euclidtools) dmp_convert() (in module sympy.polys.densebasic) dmp_copy() (in module sympy.polys.densebasic) dmp_deflate() (in module sympy.polys.densebasic) dmp_degree() (in module sympy.polys.densebasic) dmp_degree_in() (in module sympy.polys.densebasic) dmp_degree_list() (in module sympy.polys.densebasic) dmp_diff() (in module sympy.polys.densetools) dmp_diff_eval_in() (in module sympy.polys.densetools) dmp_diff_in() (in module sympy.polys.densetools) dmp_discriminant() (in module sympy.polys.euclidtools) dmp_div() (in module sympy.polys.densearith) dmp_eject() (in module sympy.polys.densebasic) dmp_euclidean_prs() (in module sympy.polys.euclidtools) dmp_eval() (in module sympy.polys.densetools) dmp_eval_in() (in module sympy.polys.densetools) dmp_eval_tail() (in module sympy.polys.densetools) dmp_exclude() (in module sympy.polys.densebasic) dmp_expand() (in module sympy.polys.densearith) dmp_exquo() (in module sympy.polys.densearith) dmp_exquo_ground() (in module sympy.polys.densearith) dmp_ext_factor() (in module sympy.polys.factortools)

dmp_factor_list() (in module sympy.polys.factortools) dmp_factor_list_include() (in module sympy.polys.factortools) dmp_ff_div() (in module sympy.polys.densearith) dmp_ff_prs_gcd() (in module sympy.polys.euclidtools) dmp_from_dict() (in module sympy.polys.densebasic) dmp_from_sympy() (in module sympy.polys.densebasic) dmp_gcd() (in module sympy.polys.euclidtools) dmp_gcdex() (in module sympy.polys.euclidtools) dmp_ground() (in module sympy.polys.densebasic) dmp_ground_content() (in module sympy.polys.densetools) dmp_ground_extract() (in module sympy.polys.densetools) dmp_ground_LC() (in module sympy.polys.densebasic) dmp_ground_monic() (in module sympy.polys.densetools) dmp_ground_nth() (in module sympy.polys.densebasic) dmp_ground_p() (in module sympy.polys.densebasic) dmp_ground_primitive() (in module sympy.polys.densetools) dmp_ground_TC() (in module sympy.polys.densebasic) dmp_ground_trunc() (in module sympy.polys.densetools) dmp_grounds() (in module sympy.polys.densebasic) dmp_half_gcdex() (in module sympy.polys.euclidtools) dmp_include() (in module sympy.polys.densebasic) dmp_inflate() (in module sympy.polys.densebasic) dmp_inject() (in module sympy.polys.densebasic) dmp_inner_gcd() (in module sympy.polys.euclidtools) dmp_inner_subresultants() (in module sympy.polys.euclidtools) dmp_integrate() (in module sympy.polys.densetools) dmp_integrate_in() (in module sympy.polys.densetools) dmp_invert() (in module sympy.polys.euclidtools) dmp_irreducible_p() (in module sympy.polys.factortools) dmp_l1_norm() (in module sympy.polys.densearith) dmp_LC() (in module sympy.polys.densebasic) dmp_lcm() (in module sympy.polys.euclidtools) dmp_lift() (in module sympy.polys.densetools) dmp_list_terms() (in module sympy.polys.densebasic) dmp_max_norm() (in module sympy.polys.densearith) dmp_mul() (in module sympy.polys.densearith) dmp_mul_ground() (in module sympy.polys.densearith) dmp_mul_term() (in module sympy.polys.densearith) dmp_multi_deflate() (in module sympy.polys.densebasic) dmp_neg() (in module sympy.polys.densearith) dmp_negative_p() (in module sympy.polys.densebasic) dmp_nest() (in module sympy.polys.densebasic) dmp_normal() (in module sympy.polys.densebasic) dmp_nth() (in module sympy.polys.densebasic) dmp_one() (in module sympy.polys.densebasic) dmp_one_p() (in module sympy.polys.densebasic) dmp_pdiv() (in module sympy.polys.densearith) dmp_permute() (in module sympy.polys.densebasic) dmp_pexquo() (in module sympy.polys.densearith) dmp_positive_p() (in module sympy.polys.densebasic) dmp_pow() (in module sympy.polys.densearith) dmp_pquo() (in module sympy.polys.densearith) dmp_prem() (in module sympy.polys.densearith) dmp_primitive() (in module sympy.polys.euclidtools) dmp_primitive_prs() (in module sympy.polys.euclidtools) dmp_prs_resultant() (in module sympy.polys.euclidtools) dmp_qq_collins_resultant() (in module sympy.polys.euclidtools) dmp_qq_heu_gcd() (in module sympy.polys.euclidtools) dmp_quo() (in module sympy.polys.densearith) dmp_quo_ground() (in module sympy.polys.densearith) dmp_raise() (in module sympy.polys.densebasic) dmp_rem() (in module sympy.polys.densearith) dmp_resultant() (in module sympy.polys.euclidtools) dmp_revert() (in module sympy.polys.densetools) dmp_rr_div() (in module sympy.polys.densearith) dmp_rr_prs_gcd() (in module sympy.polys.euclidtools) dmp_slice() (in module sympy.polys.densebasic) dmp_sqr() (in module sympy.polys.densearith) dmp_strip() (in module sympy.polys.densebasic) dmp_sub() (in module sympy.polys.densearith) dmp_sub_ground() (in module sympy.polys.densearith) dmp_sub_mul() (in module sympy.polys.densearith) dmp_sub_term() (in module sympy.polys.densearith) dmp_subresultants() (in module sympy.polys.euclidtools) dmp_swap() (in module sympy.polys.densebasic) dmp_TC() (in module sympy.polys.densebasic) dmp_terms_gcd() (in module sympy.polys.densebasic) dmp_to_dict() (in module sympy.polys.densebasic) dmp_to_tuple() (in module sympy.polys.densebasic) dmp_trial_division() (in module sympy.polys.factortools) dmp_true_LT() (in module sympy.polys.densebasic) dmp_trunc() (in module sympy.polys.densetools) dmp_validate() (in module sympy.polys.densebasic) dmp_zero() (in module sympy.polys.densebasic) dmp_zero_p() (in module sympy.polys.densebasic) dmp_zeros() (in module sympy.polys.densebasic) dmp_zz_collins_resultant() (in module sympy.polys.euclidtools) dmp_zz_diophantine() (in module sympy.polys.factortools) dmp_zz_factor() (in module sympy.polys.factortools) dmp_zz_heu_gcd() (in module sympy.polys.euclidtools) dmp_zz_mignotte_bound() (in module sympy.polys.factortools) dmp_zz_modular_resultant() (in module sympy.polys.euclidtools) dmp_zz_wang() (in module sympy.polys.factortools) dmp_zz_wang_hensel_lifting() (in module sympy.polys.factortools) dmp_zz_wang_lead_coeffs() (in module sympy.polys.factortools) dmp_zz_wang_non_divisors() (in module sympy.polys.factortools) dmp_zz_wang_test_points() (in module sympy.polys.factortools) Do (class in sympy.codegen.fnodes) do_subs() (sympy.series.gruntz.SubsSet method) doctest() (in module sympy.utilities.runtests) doctest_depends_on() (in module sympy.utilities.decorator) doit() (sympy.core.basic.Basic method) (sympy.integrals.Integral method) (sympy.physics.quantum.anticommutator.AntiCommutator method) (sympy.physics.quantum.commutator.Commutator method) (sympy.physics.secondquant.AntiSymmetricTensor method) (sympy.physics.secondquant.Commutator method) (sympy.physics.secondquant.NO method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.series.limits.Limit method) doit_numerically() (sympy.core.function.Derivative method) Domain (class in sympy.polys.domains.domain) domain (sympy.categories.CompositeMorphism attribute) (sympy.categories.Morphism attribute) (sympy.polys.polytools.Poly attribute) domain_check() (in module sympy.solvers.solveset) DomainError (class in sympy.polys.polyerrors) dominant() (in module sympy.series.limitseq) doprint() (sympy.printing.printer.Printer method) (sympy.printing.theanocode.TheanoPrinter method) dot() (in module sympy.physics.vector.functions) (sympy.geometry.point.Point method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) dot_rot_grad_Ynm() (in module sympy.physics.wigner) dotprint() (in module sympy.printing.dot) double_coset_can_rep() (in module sympy.combinatorics.tensor_can) draw() (sympy.categories.diagram_drawing.XypicDiagramDrawer method) drop() (sympy.polys.rings.PolyRing method) drop_to_ground() (sympy.polys.rings.PolyRing method) dsign (class in sympy.codegen.fnodes) dsolve() (in module sympy.solvers.ode) dt() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) dtype (sympy.polys.agca.modules.FreeModule attribute) (sympy.polys.agca.modules.QuotientModule attribute) (sympy.polys.domains.AlgebraicField attribute) (sympy.polys.domains.ExpressionDomain attribute) dual (sympy.physics.quantum.state.StateBase attribute) dual() (sympy.matrices.matrices.MatrixBase method) dual_class() (sympy.physics.quantum.state.StateBase class method) Dummy (class in sympy.core.symbol) dummy_eq() (sympy.core.basic.Basic method) DummyWrapper (class in sympy.utilities.autowrap) dump_c() (sympy.utilities.autowrap.UfuncifyCodeWrapper method) (sympy.utilities.codegen.CCodeGen method) dump_code() (sympy.utilities.codegen.CodeGen method) dump_f95() (sympy.utilities.codegen.FCodeGen method) dump_h() (sympy.utilities.codegen.CCodeGen method) (sympy.utilities.codegen.FCodeGen method) dump_jl() (sympy.utilities.codegen.JuliaCodeGen method) dump_m() (sympy.utilities.codegen.OctaveCodeGen method) dump_pyx() (sympy.utilities.autowrap.CythonCodeWrapper method) dump_rs() (sympy.utilities.codegen.RustCodeGen method) dup_content() (in module sympy.polys.densetools) dup_cyclotomic_p() (in module sympy.polys.factortools) dup_decompose() (in module sympy.polys.densetools) dup_extract() (in module sympy.polys.densetools) dup_gf_factor() (in module sympy.polys.factortools) dup_lshift() (in module sympy.polys.densearith) dup_mirror() (in module sympy.polys.densetools) dup_monic() (in module sympy.polys.densetools) dup_primitive() (in module sympy.polys.densetools) dup_random() (in module sympy.polys.densebasic) dup_real_imag() (in module sympy.polys.densetools) dup_reverse() (in module sympy.polys.densebasic) dup_rshift() (in module sympy.polys.densearith) dup_scale() (in module sympy.polys.densetools) dup_shift() (in module sympy.polys.densetools) dup_sign_variations() (in module sympy.polys.densetools) dup_transform() (in module sympy.polys.densetools) dup_zz_cyclotomic_factor() (in module sympy.polys.factortools) dup_zz_cyclotomic_poly() (in module sympy.polys.factortools) dup_zz_factor() (in module sympy.polys.factortools) dup_zz_factor_sqf() (in module sympy.polys.factortools) dup_zz_hensel_lift() (in module sympy.polys.factortools) dup_zz_hensel_step() (in module sympy.polys.factortools) dup_zz_irreducible_p() (in module sympy.polys.factortools) dup_zz_zassenhaus() (in module sympy.polys.factortools) Dyadic (class in sympy.physics.vector.dyadic) (class in sympy.vector.dyadic) dyn_implicit_mat (sympy.physics.mechanics.system.SymbolicSystem attribute) dyn_implicit_rhs (sympy.physics.mechanics.system.SymbolicSystem attribute) dynamic_symbols() (sympy.physics.mechanics.system.SymbolicSystem method) dynamicsymbols() (in module sympy.physics.vector) dynkin_diagram() (sympy.liealgebras.root_system.RootSystem method) DynkinDiagram() (in module sympy.liealgebras.dynkin_diagram)

E

E() (in module sympy.stats) E1() (in module sympy.functions.special.error_functions) E_n() (in module sympy.physics.qho_1d) E_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) E_nl_dirac() (in module sympy.physics.hydrogen) EC() (sympy.polys.polytools.Poly method) eccentricity (sympy.geometry.ellipse.Ellipse attribute) echelon_form() (sympy.matrices.matrices.MatrixReductions method) edges (sympy.combinatorics.polyhedron.Polyhedron attribute) edges() (sympy.combinatorics.prufer.Prufer static method) egyptian_fraction() (in module sympy.ntheory.egyptian_fraction) Ei (class in sympy.functions.special.error_functions) eigenvals() (sympy.matrices.matrices.MatrixEigen method) eigenvects() (sympy.matrices.matrices.MatrixEigen method) Eijk() (in module sympy.functions.special.tensor_functions) eject() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) elastic_modulus (sympy.physics.continuum_mechanics.beam.Beam attribute) Element (class in sympy.codegen.ast) element_order() (sympy.liealgebras.weyl_group.WeylGroup method) elementary_col_op() (sympy.matrices.matrices.MatrixReductions method) elementary_row_op() (sympy.matrices.matrices.MatrixReductions method) elements (sympy.combinatorics.perm_groups.PermutationGroup attribute) elgamal_private_key() (in module sympy.crypto.crypto) elgamal_public_key() (in module sympy.crypto.crypto) Ellipse (class in sympy.geometry.ellipse) elliptic_e (class in sympy.functions.special.elliptic_integrals) elliptic_f (class in sympy.functions.special.elliptic_integrals) elliptic_k (class in sympy.functions.special.elliptic_integrals) elliptic_pi (class in sympy.functions.special.elliptic_integrals) EM() (sympy.polys.polytools.Poly method) emptyPrinter() (sympy.printing.repr.ReprPrinter method) EmptySequence (class in sympy.series.sequences) EmptySet (class in sympy.sets.sets) encipher_affine() (in module sympy.crypto.crypto) encipher_bifid() (in module sympy.crypto.crypto) encipher_bifid5() (in module sympy.crypto.crypto) encipher_bifid6() (in module sympy.crypto.crypto) encipher_elgamal() (in module sympy.crypto.crypto), [1] encipher_gm() (in module sympy.crypto.crypto) encipher_hill() (in module sympy.crypto.crypto) encipher_kid_rsa() (in module sympy.crypto.crypto) encipher_rsa() (in module sympy.crypto.crypto) encipher_shift() (in module sympy.crypto.crypto) encipher_substitution() (in module sympy.crypto.crypto) encipher_vigenere() (in module sympy.crypto.crypto) encloses() (sympy.geometry.entity.GeometryEntity method) encloses_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.Polygon method) (sympy.geometry.polygon.RegularPolygon method) encode_morse() (in module sympy.crypto.crypto) end (sympy.sets.sets.Interval attribute) enum_all() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_large() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_range() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_small() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enumerate_states() (in module sympy.physics.quantum.represent) EPath (class in sympy.simplify.epathtools) epath() (in module sympy.simplify.epathtools) eps (sympy.codegen.ast.FloatType attribute) Eq (in module sympy.core.relational) Equality (class in sympy.core.relational) equals() (sympy.core.expr.Expr method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.matrices.expressions.MatrixExpr method) equation() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line2D method) (sympy.geometry.line.Line3D method) (sympy.geometry.plane.Plane method) Equivalent (class in sympy.logic.boolalg) equivalent() (in module sympy.solvers.diophantine) erf (class in sympy.functions.special.error_functions) erf2 (class in sympy.functions.special.error_functions) erf2inv (class in sympy.functions.special.error_functions) erfc (class in sympy.functions.special.error_functions) erfcinv (class in sympy.functions.special.error_functions) erfi (class in sympy.functions.special.error_functions) erfinv (class in sympy.functions.special.error_functions) Erlang() (in module sympy.stats) ET() (sympy.polys.polytools.Poly method) eta (sympy.functions.special.hyper.hyper attribute) euler (class in sympy.functions.combinatorial.numbers) euler_equations() (in module sympy.calculus.euler) euler_maclaurin() (sympy.concrete.summations.Sum method)

EulerGamma (class in sympy.core.numbers) eulerline (sympy.geometry.polygon.Triangle attribute) eval() (sympy.assumptions.assume.Predicate method) (sympy.functions.special.delta_functions.DiracDelta class method) (sympy.functions.special.delta_functions.Heaviside class method) (sympy.functions.special.singularity_functions.SingularityFunction class method) (sympy.functions.special.tensor_functions.KroneckerDelta class method) (sympy.physics.secondquant.Commutator class method) (sympy.physics.secondquant.Dagger class method) (sympy.physics.secondquant.KroneckerDelta class method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) eval_controls() (sympy.physics.quantum.gate.CGate method) eval_expr() (in module sympy.parsing.sympy_parser) eval_levicivita() (in module sympy.functions.special.tensor_functions) eval_zeta_function() (sympy.concrete.summations.Sum method) evalf() (sympy.geometry.point.Point method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.matrices.common.MatrixCommon method) (sympy.polys.domains.domain.Domain method) evaluate_deltas() (in module sympy.physics.secondquant) evaluate_pauli_product() (in module sympy.physics.paulialgebra) EvaluationFailed (class in sympy.polys.polyerrors) even (sympy.assumptions.ask.AssumptionKeys attribute) evolute() (sympy.geometry.ellipse.Ellipse method) ExactQuotientFailed (class in sympy.polys.polyerrors) exclude() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exp (class in sympy.functions.elementary.exponential) exp() (sympy.algebras.Quaternion method) (sympy.matrices.matrices.MatrixBase method) Exp1 (class in sympy.core.numbers) exp2 (class in sympy.codegen.cfunctions) exp_re() (in module sympy.series.formal) expand() (in module sympy.core.function) (sympy.core.expr.Expr method) (sympy.matrices.common.MatrixCommon method) expand_complex() (in module sympy.core.function) expand_func() (in module sympy.core.function) expand_log() (in module sympy.core.function) expand_mul() (in module sympy.core.function) expand_multinomial() (in module sympy.core.function) expand_power_base() (in module sympy.core.function) expand_power_exp() (in module sympy.core.function) expand_trig() (in module sympy.core.function) Expectation (class in sympy.stats) expint (class in sympy.functions.special.error_functions) expm1 (class in sympy.codegen.cfunctions) Exponential() (in module sympy.stats) Expr (class in sympy.core.expr) expr (sympy.core.function.Lambda attribute) (sympy.core.function.Subs attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.physics.quantum.state.Wavefunction attribute) expr_free_symbols (sympy.core.expr.Expr attribute) expr_to_holonomic() (in module sympy.holonomic.holonomic) ExprCondPair (class in sympy.functions.elementary.piecewise) express() (in module sympy.physics.vector.functions) (in module sympy.vector) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) ExpressionDomain (class in sympy.polys.domains) ExpressionDomain.Expression (class in sympy.polys.domains) exquo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exquo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exradii (sympy.geometry.polygon.Triangle attribute) extend() (sympy.ntheory.generate.Sieve method) (sympy.physics.units.unitsystem.UnitSystem method) (sympy.plotting.plot.Plot method) extend_to_no() (sympy.ntheory.generate.Sieve method) extended_real (sympy.assumptions.ask.AssumptionKeys attribute) Extent (class in sympy.codegen.fnodes) exterior_angle (sympy.geometry.polygon.RegularPolygon attribute) extract() (sympy.matrices.common.MatrixCommon method) extract_additively() (sympy.core.expr.Expr method) extract_branch_factor() (sympy.core.expr.Expr method) extract_leading_order() (sympy.core.add.Add method) extract_multiplicatively() (sympy.core.expr.Expr method) extract_type_tens() (in module sympy.physics.hep.gamma_matrices) ExtraneousFactors (class in sympy.polys.polyerrors) eye() (in module sympy.matrices.dense) (sympy.matrices.common.MatrixCommon class method)

F

F (in module sympy.physics.secondquant) F2PyCodeWrapper (class in sympy.utilities.autowrap) faces (sympy.combinatorics.polyhedron.Polyhedron attribute) factor() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) factor_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_terms() (in module sympy.core.exprtools) factorial (class in sympy.functions.combinatorial.factorials) factorial() (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) factorial2 (class in sympy.functions.combinatorial.factorials) factorial_notation() (in module sympy.parsing.sympy_parser) factoring_visitor() (in module sympy.utilities.enumerative) factorint() (in module sympy.ntheory.factor_) factors() (sympy.core.numbers.Rational method) FallingFactorial (class in sympy.functions.combinatorial.factorials) FBra (in module sympy.physics.secondquant) fcode() (in module sympy.printing.fcode) FCodeGen (class in sympy.utilities.codegen) FCodePrinter (class in sympy.printing.fcode) Fd (in module sympy.physics.secondquant) fdiff() (sympy.codegen.cfunctions.Cbrt method) (sympy.codegen.cfunctions.Sqrt method) (sympy.codegen.cfunctions.exp2 method) (sympy.codegen.cfunctions.expm1 method) (sympy.codegen.cfunctions.fma method) (sympy.codegen.cfunctions.hypot method) (sympy.codegen.cfunctions.log10 method) (sympy.codegen.cfunctions.log1p method) (sympy.codegen.cfunctions.log2 method) (sympy.core.function.Function method) (sympy.functions.elementary.complexes.Abs method) (sympy.functions.special.delta_functions.DiracDelta method) (sympy.functions.special.delta_functions.Heaviside method) (sympy.functions.special.singularity_functions.SingularityFunction method) FDistribution() (in module sympy.stats) fft() (in module sympy.discrete.transforms) fglm() (sympy.polys.polytools.GroebnerBasis method) fibonacci (class in sympy.functions.combinatorial.numbers) Field (class in sympy.polys.domains.field) field_isomorphism() (in module sympy.polys.numberfields) fill() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) filldedent() (in module sympy.utilities.misc) filter_symbols() (in module sympy.utilities.iterables) find() (sympy.core.basic.Basic method) find_DN() (in module sympy.solvers.diophantine) find_dynamicsymbols() (in module sympy.physics.mechanics) find_executable() (in module sympy.utilities.misc) find_linear_recurrence() (sympy.series.sequences.SeqBase method) finite (sympy.assumptions.ask.AssumptionKeys attribute) finite_diff_weights() (in module sympy.calculus.finite_diff) FiniteDomain (class in sympy.stats.frv) FiniteField (class in sympy.polys.domains) FinitePSpace (class in sympy.stats.frv) FiniteRV() (in module sympy.stats) FiniteSet (class in sympy.sets.sets) FisherZ() (in module sympy.stats) FixedBosonicBasis (class in sympy.physics.secondquant) FKet (in module sympy.physics.secondquant) FlagError (class in sympy.polys.polyerrors) FlatMirror (class in sympy.physics.optics.gaussopt) FlatRefraction (class in sympy.physics.optics.gaussopt) flatten() (in module sympy.utilities.iterables) (sympy.categories.CompositeMorphism method) (sympy.core.add.Add class method) (sympy.core.mul.Mul class method) Float (class in sympy.core.numbers) FloatBaseType (class in sympy.codegen.ast) FloatType (class in sympy.codegen.ast) floor (class in sympy.functions.elementary.integers) fma (class in sympy.codegen.cfunctions) foci (sympy.geometry.ellipse.Ellipse attribute) FockSpace (class in sympy.physics.quantum.hilbert) FockState (class in sympy.physics.secondquant) FockStateBosonBra (class in sympy.physics.secondquant) FockStateBosonKet (class in sympy.physics.secondquant) FockStateBra (class in sympy.physics.secondquant) FockStateKet (class in sympy.physics.secondquant) focus_distance (sympy.geometry.ellipse.Ellipse attribute) For (class in sympy.codegen.ast) forcing (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) forcing_full (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) form_lagranges_equations() (sympy.physics.mechanics.lagrange.LagrangesMethod method) FormalPowerSeries (class in sympy.series.formal) FortranReturn (class in sympy.codegen.fnodes) fourier_series() (in module sympy.series.fourier) (sympy.core.expr.Expr method) fourier_transform() (in module sympy.integrals.transforms) FourierSeries (class in sympy.series.fourier) fps() (in module sympy.series.formal) (sympy.core.expr.Expr method) frac (class in sympy.functions.elementary.integers) (in module sympy.printing.pretty.pretty_symbology) frac_field() (sympy.polys.domains.domain.Domain method) frac_unify() (sympy.polys.polyclasses.DMF method) fraction() (in module sympy.simplify.radsimp) FractionField (class in sympy.polys.domains) Frechet() (in module sympy.stats) free_module() (sympy.polys.domains.ring.Ring method) free_symbols (sympy.core.basic.Basic attribute) (sympy.geometry.curve.Curve attribute) (sympy.integrals.Integral attribute) (sympy.matrices.common.MatrixCommon attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.physics.units.quantities.Quantity attribute) (sympy.polys.polytools.Poly attribute) (sympy.polys.polytools.PurePoly attribute) (sympy.series.sequences.SeqBase attribute)

free_symbols() (sympy.physics.vector.vector.Vector method) free_symbols_in_domain (sympy.polys.polytools.Poly attribute) FreeModule (class in sympy.polys.agca.modules) FreeSpace (class in sympy.physics.optics.gaussopt) frequency (sympy.physics.optics.waves.TWave attribute) fresnel_coefficients() (in module sympy.physics.optics.utils) fresnelc (class in sympy.functions.special.error_functions) FresnelIntegral (class in sympy.functions.special.error_functions) fresnels (class in sympy.functions.special.error_functions) from_AlgebraicField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RationalField method) from_axis_angle() (sympy.algebras.Quaternion class method) from_ComplexField() (sympy.polys.domains.domain.Domain method) from_dict() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_expr() (sympy.codegen.ast.Type class method) (sympy.polys.polytools.Poly class method) from_ExpressionDomain() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) from_FF_gmpy() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FF_python() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FractionField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_GlobalPolynomialRing() (sympy.polys.domains.domain.Domain method) from_hyper() (in module sympy.holonomic.holonomic) from_index_summation() (sympy.matrices.expressions.MatrixExpr static method) from_inversion_vector() (sympy.combinatorics.permutations.Permutation class method) from_list() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_meijerg() (in module sympy.holonomic.holonomic) from_poly() (sympy.polys.polytools.Poly class method) from_PolynomialRing() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_QQ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_QQ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_real() (sympy.sets.fancysets.ComplexRegion class method) from_RealField() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_rgs() (sympy.combinatorics.partitions.Partition class method) from_rotation_matrix() (sympy.algebras.Quaternion class method) from_sequence() (sympy.combinatorics.permutations.Permutation class method) from_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) from_sympy_list() (sympy.polys.polyclasses.DMP class method) from_ZZ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_ZZ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) fromiter() (sympy.core.basic.Basic class method) full_cyclic_form (sympy.combinatorics.permutations.Permutation attribute) fullrank (sympy.assumptions.ask.AssumptionKeys attribute) fun_eval() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensExpr method) func (sympy.core.basic.Basic attribute) func_field_modgcd() (in module sympy.polys.modulargcd) func_name() (in module sympy.utilities.misc) Function (class in sympy.core.function) function (sympy.physics.quantum.operator.DifferentialOperator attribute) function_exponentiation() (in module sympy.parsing.sympy_parser) FunctionCall (class in sympy.codegen.ast) FunctionClass (class in sympy.core.function) FunctionDefinition (class in sympy.codegen.ast) FunctionMatrix (class in sympy.matrices.expressions) FunctionPrototype (class in sympy.codegen.ast) functions (sympy.geometry.curve.Curve attribute) fwht() (in module sympy.discrete.transforms)

G

G() (in module sympy.printing.pretty.pretty_symbology) g() (in module sympy.printing.pretty.pretty_symbology) gamma (class in sympy.functions.special.gamma_functions) Gamma() (in module sympy.stats) gamma_trace() (in module sympy.physics.hep.gamma_matrices) GammaInverse() (in module sympy.stats) gammasimp() (sympy.core.expr.Expr method) Gate (class in sympy.physics.quantum.gate) gate (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) gate_simp() (in module sympy.physics.quantum.gate) gate_sort() (in module sympy.physics.quantum.gate) gaunt() (in module sympy.physics.wigner) gauss_chebyshev_t() (in module sympy.integrals.quadrature) gauss_chebyshev_u() (in module sympy.integrals.quadrature) gauss_gen_laguerre() (in module sympy.integrals.quadrature) gauss_hermite() (in module sympy.integrals.quadrature) gauss_jacobi() (in module sympy.integrals.quadrature) gauss_jordan_solve() (sympy.matrices.matrices.MatrixBase method) gauss_laguerre() (in module sympy.integrals.quadrature) gauss_legendre() (in module sympy.integrals.quadrature) gauss_lobatto() (in module sympy.integrals.quadrature) gaussian_conj() (in module sympy.physics.optics.gaussopt) gaussian_reduce() (in module sympy.solvers.diophantine) gcd() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) gcd_list() (in module sympy.polys.polytools) gcd_terms() (in module sympy.core.exprtools) gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Ge (in module sympy.core.relational) gegenbauer (class in sympy.functions.special.polynomials) gegenbauer_poly() (in module sympy.polys.orthopolys) gen (sympy.polys.polytools.Poly attribute) (sympy.series.sequences.SeqBase attribute) generate() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_bell() (in module sympy.utilities.iterables) generate_derangements() (in module sympy.utilities.iterables) generate_dimino() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_gray() (sympy.combinatorics.graycode.GrayCode method) generate_involutions() (in module sympy.utilities.iterables) generate_oriented_forest() (in module sympy.utilities.iterables) generate_schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) generator_product() (sympy.combinatorics.perm_groups.PermutationGroup method) generators (sympy.combinatorics.perm_groups.PermutationGroup attribute) generators() (sympy.liealgebras.weyl_group.WeylGroup method) GeneratorsError (class in sympy.polys.polyerrors) GeneratorsNeeded (class in sympy.polys.polyerrors) genocchi (class in sympy.functions.combinatorial.numbers) Geometric() (in module sympy.stats) geometric_conj_ab() (in module sympy.physics.optics.gaussopt) geometric_conj_af() (in module sympy.physics.optics.gaussopt) geometric_conj_bf() (in module sympy.physics.optics.gaussopt) GeometricRay (class in sympy.physics.optics.gaussopt) GeometryEntity (class in sympy.geometry.entity) get() (sympy.core.containers.Dict method) get_adjacency_distance() (sympy.combinatorics.permutations.Permutation method) get_adjacency_matrix() (sympy.combinatorics.permutations.Permutation method) get_basis() (in module sympy.physics.quantum.represent) get_class() (in module sympy.utilities.source) get_comm() (sympy.tensor.tensor._TensorManager method) get_contraction_structure() (in module sympy.tensor.index_methods) get_default_datatype() (in module sympy.utilities.codegen) get_diag_blocks() (sympy.matrices.common.MatrixCommon method) get_domain() (sympy.polys.polytools.Poly method) get_exact() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) get_field() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.field.Field method) get_free_indices() (sympy.tensor.tensor.TensMul method) get_indices() (in module sympy.tensor.index_methods) (sympy.tensor.tensor.TensMul method) get_interface() (sympy.utilities.codegen.FCodeGen method) get_matrix() (sympy.tensor.tensor.TensExpr method) get_mod_func() (in module sympy.utilities.source) get_modulus() (sympy.polys.polytools.Poly method) get_motion_params() (in module sympy.physics.vector.functions) get_period() (sympy.functions.special.hyper.meijerg method) get_permuted() (sympy.physics.secondquant.PermutationOperator method) get_positional_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_matrix() (sympy.combinatorics.permutations.Permutation method) get_prototype() (sympy.utilities.codegen.CCodeGen method) (sympy.utilities.codegen.RustCodeGen method) get_resource() (in module sympy.utilities.pkgdata) get_ring() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) get_segments() (sympy.plotting.plot.LineOver1DRangeSeries method) (sympy.plotting.plot.Parametric2DLineSeries method)

get_subNO() (sympy.physics.secondquant.NO method) get_subset_from_bitstring() (sympy.combinatorics.graycode method) get_symmetric_group_sgs() (in module sympy.combinatorics.tensor_can) get_sympy_dir() (in module sympy.utilities.runtests) get_target_matrix() (sympy.physics.quantum.gate.Gate method) (sympy.physics.quantum.gate.UGate method) getn() (sympy.core.expr.Expr method) getO() (sympy.core.expr.Expr method) gf_add() (in module sympy.polys.galoistools) gf_add_ground() (in module sympy.polys.galoistools) gf_add_mul() (in module sympy.polys.galoistools) gf_berlekamp() (in module sympy.polys.galoistools) gf_cofactors() (in module sympy.polys.galoistools) gf_compose() (in module sympy.polys.galoistools) gf_compose_mod() (in module sympy.polys.galoistools) gf_crt() (in module sympy.polys.galoistools) gf_crt1() (in module sympy.polys.galoistools) gf_crt2() (in module sympy.polys.galoistools) gf_csolve() (in module sympy.polys.galoistools) gf_degree() (in module sympy.polys.galoistools) gf_diff() (in module sympy.polys.galoistools) gf_div() (in module sympy.polys.galoistools) gf_eval() (in module sympy.polys.galoistools) gf_expand() (in module sympy.polys.galoistools) gf_exquo() (in module sympy.polys.galoistools) gf_factor() (in module sympy.polys.galoistools) gf_factor_sqf() (in module sympy.polys.galoistools) gf_from_dict() (in module sympy.polys.galoistools) gf_from_int_poly() (in module sympy.polys.galoistools) gf_gcd() (in module sympy.polys.galoistools) gf_gcdex() (in module sympy.polys.galoistools) gf_int() (in module sympy.polys.galoistools) gf_irreducible() (in module sympy.polys.galoistools) gf_irreducible_p() (in module sympy.polys.galoistools) gf_LC() (in module sympy.polys.galoistools) gf_lcm() (in module sympy.polys.galoistools) gf_lshift() (in module sympy.polys.galoistools) gf_monic() (in module sympy.polys.galoistools) gf_mul() (in module sympy.polys.galoistools) gf_mul_ground() (in module sympy.polys.galoistools) gf_multi_eval() (in module sympy.polys.galoistools) gf_neg() (in module sympy.polys.galoistools) gf_normal() (in module sympy.polys.galoistools) gf_pow() (in module sympy.polys.galoistools) gf_pow_mod() (in module sympy.polys.galoistools) gf_Qbasis() (in module sympy.polys.galoistools) gf_Qmatrix() (in module sympy.polys.galoistools) gf_quo() (in module sympy.polys.galoistools) gf_quo_ground() (in module sympy.polys.galoistools) gf_random() (in module sympy.polys.galoistools) gf_rem() (in module sympy.polys.galoistools) gf_rshift() (in module sympy.polys.galoistools) gf_shoup() (in module sympy.polys.galoistools) gf_sqf_list() (in module sympy.polys.galoistools) gf_sqf_p() (in module sympy.polys.galoistools) gf_sqf_part() (in module sympy.polys.galoistools) gf_sqr() (in module sympy.polys.galoistools) gf_strip() (in module sympy.polys.galoistools) gf_sub() (in module sympy.polys.galoistools) gf_sub_ground() (in module sympy.polys.galoistools) gf_sub_mul() (in module sympy.polys.galoistools) gf_TC() (in module sympy.polys.galoistools) gf_to_dict() (in module sympy.polys.galoistools) gf_to_int_poly() (in module sympy.polys.galoistools) gf_trace_map() (in module sympy.polys.galoistools) gf_trunc() (in module sympy.polys.galoistools) gf_value() (in module sympy.polys.galoistools) gf_zassenhaus() (in module sympy.polys.galoistools) gff() (in module sympy.polys.polytools) gff_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) given() (in module sympy.stats) gm_private_key() (in module sympy.crypto.crypto) gm_public_key() (in module sympy.crypto.crypto) GMPYFiniteField (class in sympy.polys.domains) GMPYIntegerRing (class in sympy.polys.domains) GMPYRationalField (class in sympy.polys.domains) GoldenRatio (class in sympy.core.numbers) gosper_normal() (in module sympy.concrete.gosper) gosper_sum() (in module sympy.concrete.gosper) gosper_term() (in module sympy.concrete.gosper) goto (class in sympy.codegen.cnodes) GoTo (class in sympy.codegen.fnodes) gouy (sympy.physics.optics.gaussopt.BeamParameter attribute) GradedLexOrder (class in sympy.polys.orderings) gradient() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) (sympy.vector.deloperator.Del method) GramSchmidt() (in module sympy.matrices.dense) gray_to_bin() (sympy.combinatorics.graycode method) GrayCode (class in sympy.combinatorics.graycode) graycode_subsets() (sympy.combinatorics.graycode method) GreaterThan (class in sympy.core.relational) greek_letters (in module sympy.printing.pretty.pretty_symbology) groebner() (in module sympy.polys.groebnertools) (in module sympy.polys.polytools) GroebnerBasis (class in sympy.polys.polytools) ground_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) group() (in module sympy.utilities.iterables) group_name() (sympy.liealgebras.weyl_group.WeylGroup method) group_order() (sympy.liealgebras.weyl_group.WeylGroup method) grover_iteration() (in module sympy.physics.quantum.grover) gruntz() (in module sympy.series.gruntz) Gt (in module sympy.core.relational)

H

H (in module sympy.physics.quantum.gate) (sympy.matrices.common.MatrixCommon attribute) HadamardGate (class in sympy.physics.quantum.gate) Half (class in sympy.core.numbers) half_gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) half_per() (sympy.polys.polyclasses.DMF method) hankel1 (class in sympy.functions.special.bessel) hankel2 (class in sympy.functions.special.bessel) hankel_transform() (in module sympy.integrals.transforms) harmonic (class in sympy.functions.combinatorial.numbers) has() (sympy.core.basic.Basic method) (sympy.matrices.common.MatrixCommon method) has_dups() (in module sympy.utilities.iterables) has_integer_powers() (sympy.physics.units.dimensions.Dimension method) has_only_gens() (sympy.polys.polytools.Poly method) has_q_annihilators (sympy.physics.secondquant.NO attribute) has_q_creators (sympy.physics.secondquant.NO attribute) has_variety() (in module sympy.utilities.iterables) Heaviside (class in sympy.functions.special.delta_functions) height (sympy.categories.diagram_drawing.DiagramGrid attribute) (sympy.physics.optics.gaussopt.GeometricRay attribute) height() (sympy.polys.agca.ideals.Ideal method) (sympy.printing.pretty.stringpict.stringPict method) hermite (class in sympy.functions.special.polynomials) hermite_poly() (in module sympy.polys.orthopolys) hermitian (sympy.assumptions.ask.AssumptionKeys attribute)

HermitianOperator (class in sympy.physics.quantum.operator) hessian() (in module sympy.matrices.dense) HeuristicGCDFailed (class in sympy.polys.polyerrors) highest_root() (sympy.liealgebras.type_a.TypeA method) HilbertSpace (class in sympy.physics.quantum.hilbert) hobj() (in module sympy.printing.pretty.pretty_symbology) holzer() (in module sympy.solvers.diophantine) hom() (sympy.categories.Diagram method) homogeneous_order() (in module sympy.solvers.ode) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homogenize() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homomorphism() (in module sympy.polys.agca.homomorphisms) HomomorphismFailed (class in sympy.polys.polyerrors) horner() (in module sympy.polys.polyfuncs) hradius (sympy.geometry.ellipse.Ellipse attribute) hstack() (sympy.matrices.common.MatrixCommon class method) hyper (class in sympy.functions.special.hyper) hyper_algorithm() (in module sympy.series.formal) hyper_re() (in module sympy.series.formal) HyperbolicFunction (class in sympy.functions.elementary.hyperbolic) hyperexpand() (in module sympy.simplify.hyperexpand) hyperfocal_distance() (in module sympy.physics.optics.utils) Hypergeometric() (in module sympy.stats) hypersimilar() (in module sympy.simplify.simplify) hypersimp() (in module sympy.simplify.simplify) hypot (class in sympy.codegen.cfunctions)

I

ibin() (in module sympy.utilities.iterables) Ideal (class in sympy.polys.agca.ideals) ideal() (sympy.polys.domains.ring.Ring method) Identity (class in sympy.matrices.expressions) identity (sympy.combinatorics.perm_groups.PermutationGroup attribute) identity_hom() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) IdentityFunction (class in sympy.functions.elementary.miscellaneous) IdentityGate (class in sympy.physics.quantum.gate) IdentityMorphism (class in sympy.categories) IdentityOperator (class in sympy.physics.quantum.operator) Idx (class in sympy.tensor.indexed) ifft() (in module sympy.discrete.transforms) ifwht() (in module sympy.discrete.transforms) igcd() (in module sympy.core.numbers) ignore_warnings() (in module sympy.utilities.pytest) ilcm() (in module sympy.core.numbers) im (class in sympy.functions.elementary.complexes) image() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) ImageSet (class in sympy.sets.fancysets) imageset() (in module sympy.sets.sets) imaginary (sympy.assumptions.ask.AssumptionKeys attribute) ImaginaryUnit (class in sympy.core.numbers) ImmutableDenseMatrix (class in sympy.matrices.immutable) ImmutableDenseNDimArray (class in sympy.tensor.array) ImmutableSparseMatrix (class in sympy.matrices.immutable) ImmutableSparseNDimArray (class in sympy.tensor.array) implemented_function() (in module sympy.utilities.lambdify) implicit_application() (in module sympy.parsing.sympy_parser) implicit_multiplication() (in module sympy.parsing.sympy_parser) implicit_multiplication_application() (in module sympy.parsing.sympy_parser) ImplicitSeries (class in sympy.plotting.plot_implicit) ImpliedDoLoop (class in sympy.codegen.fnodes) Implies (class in sympy.logic.boolalg) imul_num() (sympy.polys.rings.PolyElement method) in_terms_of_generators() (sympy.polys.agca.modules.SubModule method) incenter (sympy.geometry.polygon.Triangle attribute) incircle (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) inclusion_hom() (sympy.polys.agca.modules.SubModule method) indent_code() (sympy.printing.ccode.C89CodePrinter method) (sympy.printing.fcode.FCodePrinter method) (sympy.printing.jscode.JavascriptCodePrinter method) (sympy.printing.julia.JuliaCodePrinter method) (sympy.printing.octave.OctaveCodePrinter method) (sympy.printing.rcode.RCodePrinter method) (sympy.printing.rust.RustCodePrinter method) index() (sympy.combinatorics.permutations.Permutation method) (sympy.core.containers.Tuple method) (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) (sympy.polys.rings.PolyRing method) Indexed (class in sympy.tensor.indexed) IndexedBase (class in sympy.tensor.indexed) indices (sympy.tensor.indexed.Indexed attribute) indices_contain_equal_information (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) inertia() (in module sympy.physics.mechanics.functions) inertia_of_point_mass() (in module sympy.physics.mechanics.functions) inf (sympy.sets.sets.Set attribute) infinite (sympy.assumptions.ask.AssumptionKeys attribute) (sympy.series.formal.FormalPowerSeries attribute) infinitesimal (sympy.assumptions.ask.AssumptionKeys attribute) infinitesimals() (in module sympy.solvers.ode) Infinity (class in sympy.core.numbers) infinity (sympy.assumptions.ask.AssumptionKeys attribute) init_printing() (in module sympy.physics.vector.printing) inject() (sympy.polys.domains.compositedomain.CompositeDomain method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.simpledomain.SimpleDomain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) InnerProduct (class in sympy.physics.quantum.innerproduct) (class in sympy.physics.secondquant) inradius (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) IntBaseType (class in sympy.codegen.ast) intcurve_diffequ() (in module sympy.diffgeom) intcurve_series() (in module sympy.diffgeom) integer Integer (class in sympy.core.numbers) integer (sympy.assumptions.ask.AssumptionKeys attribute) integer_elements (sympy.assumptions.ask.AssumptionKeys attribute) integer_nthroot() (in module sympy.core.power) IntegerPartition (class in sympy.combinatorics.partitions) IntegerRing (class in sympy.polys.domains) Integers (class in sympy.sets.fancysets) Integral (class in sympy.integrals) Integral.is_commutative (in module sympy.integrals) integrand() (sympy.functions.special.hyper.meijerg method) integrate() (in module sympy.integrals) (sympy.core.expr.Expr method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.matrices.matrices.MatrixCalculus method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.formal.FormalPowerSeries method) integrate_result() (in module sympy.physics.quantum.represent) interactive_traversal() (in module sympy.utilities.iterables) interior (sympy.sets.sets.Set attribute) interior_angle (sympy.geometry.polygon.RegularPolygon attribute) interpolate() (in module sympy.polys.polyfuncs) interpolating_poly() (in module sympy.polys.specialpolys) intersect() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.sets.sets.Set method) intersecting_product() (in module sympy.discrete.convolutions) Intersection (class in sympy.sets.sets) intersection() (in module sympy.geometry.util) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.Polygon method) (sympy.sets.sets.Set method) Interval (class in sympy.sets.sets) interval (sympy.series.sequences.SeqBase attribute) intervals() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) IntQubit (class in sympy.physics.quantum.qubit) IntQubitBra (class in sympy.physics.quantum.qubit) intrinsic_impedance (sympy.physics.optics.medium.Medium attribute) intt() (in module sympy.discrete.transforms) inv() (sympy.matrices.matrices.MatrixBase method) inv_can_transf_matrix (sympy.physics.units.dimensions.DimensionSystem attribute) inv_mod() (sympy.matrices.matrices.MatrixBase method) Inverse (class in sympy.matrices.expressions) inverse() (sympy.algebras.Quaternion method) inverse_ADJ() (sympy.matrices.matrices.MatrixBase method) inverse_cosine_transform() (in module sympy.integrals.transforms) inverse_fourier_transform() (in module sympy.integrals.transforms) inverse_GE() (sympy.matrices.matrices.MatrixBase method) inverse_hankel_transform() (in module sympy.integrals.transforms) inverse_laplace_transform() (in module sympy.integrals.transforms) inverse_LU() (sympy.matrices.matrices.MatrixBase method) inverse_mellin_transform() (in module sympy.integrals.transforms) inverse_mobius_transform() (in module sympy.discrete.transforms) inverse_sine_transform() (in module sympy.integrals.transforms) inversion_vector() (sympy.combinatorics.permutations.Permutation method) inversions() (sympy.combinatorics.permutations.Permutation method) invert() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) invert_complex() (in module sympy.solvers.solveset) invert_real() (in module sympy.solvers.solveset) invertible (sympy.assumptions.ask.AssumptionKeys attribute) IQFT (class in sympy.physics.quantum.qft) irrational (sympy.assumptions.ask.AssumptionKeys attribute) is_abelian (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_above_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_absolutely_convergent() (sympy.concrete.summations.Sum method) is_algebraic_expr() (sympy.core.expr.Expr method) is_aliased (sympy.polys.numberfields.AlgebraicNumber attribute) is_alt_sym() (sympy.combinatorics.perm_groups.PermutationGroup method) is_anti_symmetric() (sympy.matrices.common.MatrixCommon method) is_below_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_closed (sympy.sets.sets.Set attribute) is_cnf() (in module sympy.logic.boolalg) is_collinear() (sympy.geometry.point.Point method) is_commutative (sympy.core.function.Function attribute) (sympy.physics.quantum.state.Wavefunction attribute) is_comparable (sympy.core.basic.Basic attribute) is_concyclic() (sympy.geometry.point.Point method) is_conservative() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_consistent (sympy.physics.units.dimensions.DimensionSystem attribute) (sympy.physics.units.unitsystem.UnitSystem attribute) is_constant() (sympy.core.expr.Expr method) is_convergent() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) is_convex() (sympy.geometry.polygon.Polygon method)

is_coplanar() (sympy.geometry.plane.Plane method) is_cyclotomic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_decreasing() (in module sympy.calculus.singularities) is_diagonal() (sympy.matrices.common.MatrixCommon method) is_diagonalizable() (sympy.matrices.immutable.ImmutableDenseMatrix method) (sympy.matrices.immutable.ImmutableSparseMatrix method) (sympy.matrices.matrices.MatrixEigen method) is_dimensionless (sympy.physics.units.dimensions.Dimension attribute) is_dimensionless() (sympy.physics.units.dimensions.DimensionSystem method) is_disjoint() (sympy.sets.sets.Set method) is_dnf() (in module sympy.logic.boolalg) is_echelon (sympy.matrices.matrices.MatrixReductions attribute) is_elementary() (sympy.combinatorics.perm_groups.PermutationGroup method) is_Empty (sympy.combinatorics.permutations.Permutation attribute) is_equilateral() (sympy.geometry.polygon.Triangle method) is_even (sympy.combinatorics.permutations.Permutation attribute) is_full_module() (sympy.polys.agca.modules.SubModule method) (sympy.polys.agca.modules.SubQuotientModule method) is_groebner() (in module sympy.polys.groebnertools) is_ground (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_hermitian (sympy.matrices.common.MatrixCommon attribute) is_homogeneous (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_Identity (sympy.combinatorics.permutations.Permutation attribute) is_identity (sympy.core.function.Lambda attribute) is_increasing() (in module sympy.calculus.singularities) is_injective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_irreducible (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_isomorphism() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_isosceles() (sympy.geometry.polygon.Triangle method) is_iterable (sympy.sets.sets.ProductSet attribute) is_left_unbounded (sympy.sets.sets.Interval attribute) is_linear (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_lower (sympy.matrices.common.MatrixCommon attribute) is_lower_hessenberg (sympy.matrices.common.MatrixCommon attribute) is_maximal() (sympy.polys.agca.ideals.Ideal method) is_minimal() (in module sympy.polys.groebnertools) is_monic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_monomial (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_monotonic() (in module sympy.calculus.singularities) is_multivariate (sympy.polys.polytools.Poly attribute) is_negative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_nilpotent (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_nilpotent() (sympy.matrices.matrices.MatrixBase method) is_nonnegative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_nonpositive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_nonzero (sympy.geometry.point.Point attribute) is_normal() (sympy.combinatorics.perm_groups.PermutationGroup method) is_normalized (sympy.physics.quantum.state.Wavefunction attribute) is_nthpow_residue() (in module sympy.ntheory.residue_ntheory) is_number (sympy.core.expr.Expr attribute) (sympy.functions.special.hyper.meijerg attribute) is_odd (sympy.combinatorics.permutations.Permutation attribute) is_one (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMF attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_one() (sympy.polys.domains.domain.Domain method) is_only_above_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_only_below_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_only_q_annihilator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_only_q_creator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_open (sympy.sets.sets.Set attribute) is_parallel() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) is_perpendicular() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) is_polycyclic (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_polynomial() (sympy.core.expr.Expr method) is_positive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_primary() (sympy.polys.agca.ideals.Ideal method) is_prime() (sympy.polys.agca.ideals.Ideal method) is_primitive (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_primitive() (sympy.combinatorics.perm_groups.PermutationGroup method) is_primitive_root() (in module sympy.ntheory.residue_ntheory) is_principal() (sympy.polys.agca.ideals.Ideal method) is_proper_subset() (sympy.sets.sets.Set method) is_proper_superset() (sympy.sets.sets.Set method) is_q_annihilator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_q_creator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_quad_residue() (in module sympy.ntheory.residue_ntheory) is_quadratic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_radical() (sympy.polys.agca.ideals.Ideal method) is_rational_function() (sympy.core.expr.Expr method) is_reduced() (in module sympy.polys.groebnertools) is_right() (sympy.geometry.polygon.Triangle method) is_right_unbounded (sympy.sets.sets.Interval attribute) is_scalar_multiple() (sympy.geometry.point.Point method) is_scalene() (sympy.geometry.polygon.Triangle method) is_sequence() (in module sympy.core.compatibility) is_similar() (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.polygon.Triangle method) is_simple() (sympy.functions.special.delta_functions.DiracDelta method) is_Singleton (sympy.combinatorics.permutations.Permutation attribute) is_solenoidal() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_solvable (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_sqf (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_square (sympy.matrices.common.MatrixCommon attribute) is_strictly_decreasing() (in module sympy.calculus.singularities) is_strictly_increasing() (in module sympy.calculus.singularities) is_subdiagram() (sympy.categories.Diagram method) is_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) is_submodule() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) is_subset() (sympy.sets.sets.Set method) is_superset() (sympy.sets.sets.Set method) is_surjective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_symbolic() (sympy.matrices.common.MatrixCommon method) is_symmetric() (sympy.matrices.common.MatrixCommon method) is_tangent() (sympy.geometry.ellipse.Ellipse method) is_transitive() (sympy.combinatorics.perm_groups.PermutationGroup method) is_trivial (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_true (sympy.assumptions.ask.AssumptionKeys attribute) is_univariate (sympy.polys.polytools.Poly attribute) is_upper (sympy.matrices.common.MatrixCommon attribute) is_upper_hessenberg (sympy.matrices.common.MatrixCommon attribute) is_whole_ring() (sympy.polys.agca.ideals.Ideal method) is_zero (sympy.geometry.point.Point attribute) (sympy.matrices.common.MatrixCommon attribute) (sympy.matrices.immutable.ImmutableDenseMatrix attribute) (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMF attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_zero() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) is_zero_dimensional (sympy.polys.polytools.GroebnerBasis attribute) is_zero_dimensional() (in module sympy.polys.polytools) isdisjoint() (sympy.sets.sets.Set method) isign (class in sympy.codegen.fnodes) isolate() (in module sympy.polys.numberfields) IsomorphismFailed (class in sympy.polys.polyerrors) isprime() (in module sympy.ntheory.primetest) issubset() (sympy.sets.sets.Set method) issuperset() (sympy.sets.sets.Set method) ITE (class in sympy.logic.boolalg) items() (sympy.core.containers.Dict method) iter_q_annihilators() (sympy.physics.secondquant.NO method) iter_q_creators() (sympy.physics.secondquant.NO method) iterable() (in module sympy.core.compatibility) iterate_binary() (sympy.combinatorics.subsets.Subset method) iterate_graycode() (sympy.combinatorics.subsets.Subset method) itercoeffs() (sympy.polys.rings.PolyElement method) itermonomials() (in module sympy.polys.monomials) itermonoms() (sympy.polys.rings.PolyElement method) iterterms() (sympy.polys.rings.PolyElement method)

J

jacobi (class in sympy.functions.special.polynomials) jacobi_normalized() (in module sympy.functions.special.polynomials) jacobi_poly() (in module sympy.polys.orthopolys) jacobi_symbol() (in module sympy.ntheory.residue_ntheory) jacobian() (sympy.diffgeom.CoordSystem method) (sympy.matrices.matrices.MatrixCalculus method) JavascriptCodePrinter (class in sympy.printing.jscode) jn (class in sympy.functions.special.bessel) jn_zeros() (in module sympy.functions.special.bessel) join() (sympy.physics.continuum_mechanics.beam.Beam method) jordan_block() (sympy.matrices.common.MatrixCommon class method) jordan_cell() (in module sympy.matrices.dense) jordan_form() (sympy.matrices.matrices.MatrixEigen method) josephus() (sympy.combinatorics.permutations.Permutation class method) jscode() (in module sympy.printing.jscode)

julia_code() (in module sympy.printing.julia) JuliaCodeGen (class in sympy.utilities.codegen) JuliaCodePrinter (class in sympy.printing.julia) JxBra (class in sympy.physics.quantum.spin) JxBraCoupled (class in sympy.physics.quantum.spin) JxKet (class in sympy.physics.quantum.spin) JxKetCoupled (class in sympy.physics.quantum.spin) JyBra (class in sympy.physics.quantum.spin) JyBraCoupled (class in sympy.physics.quantum.spin) JyKet (class in sympy.physics.quantum.spin) JyKetCoupled (class in sympy.physics.quantum.spin) JzBra (class in sympy.physics.quantum.spin) JzBraCoupled (class in sympy.physics.quantum.spin) JzKet (class in sympy.physics.quantum.spin) JzKetCoupled (class in sympy.physics.quantum.spin)

K

kahane_simplify() (in module sympy.physics.hep.gamma_matrices) kanes_equations() (sympy.physics.mechanics.kane.KanesMethod method) KanesMethod (class in sympy.physics.mechanics.kane) kbins() (in module sympy.utilities.iterables) kernel() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Ket (class in sympy.physics.quantum.state) ket (sympy.physics.quantum.operator.OuterProduct attribute) (sympy.physics.secondquant.InnerProduct attribute) KetBase (class in sympy.physics.quantum.state) key2bounds() (sympy.matrices.matrices.MatrixBase method) key2ij() (sympy.matrices.matrices.MatrixBase method) keys() (sympy.core.containers.Dict method) kid_rsa_private_key() (in module sympy.crypto.crypto) kid_rsa_public_key() (in module sympy.crypto.crypto) killable_index (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) kin_explicit_rhs (sympy.physics.mechanics.system.SymbolicSystem attribute) kind (class in sympy.codegen.fnodes) kindiffdict() (sympy.physics.mechanics.kane.KanesMethod method)

kinematic_equations() (in module sympy.physics.vector.functions) kinetic_energy() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) known_fcns_src1 (in module sympy.printing.julia) (in module sympy.printing.octave) known_fcns_src2 (in module sympy.printing.julia) (in module sympy.printing.octave) known_functions (in module sympy.printing.jscode) (in module sympy.printing.mathematica) (in module sympy.printing.rcode) (in module sympy.printing.rust) known_functions_C89 (in module sympy.printing.ccode) known_functions_C99 (in module sympy.printing.ccode) KroneckerDelta (class in sympy.functions.special.tensor_functions) (class in sympy.physics.secondquant) ksubsets() (sympy.combinatorics.subsets method) Kumaraswamy() (in module sympy.stats) kwargs() (sympy.codegen.ast.Token method)

L

l1_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) L2 (class in sympy.physics.quantum.hilbert) Label (class in sympy.codegen.cnodes) label (sympy.physics.quantum.state.TimeDepState attribute) (sympy.tensor.indexed.Idx attribute) (sympy.tensor.indexed.IndexedBase attribute) labeller() (in module sympy.physics.quantum.circuitplot) LagrangesMethod (class in sympy.physics.mechanics.lagrange) Lagrangian() (in module sympy.physics.mechanics.functions) laguerre (class in sympy.functions.special.polynomials) laguerre_poly() (in module sympy.polys.orthopolys) Lambda (class in sympy.core.function) lambda_notation() (in module sympy.parsing.sympy_parser) LambdaPrinter (class in sympy.printing.lambdarepr) lambdarepr() (in module sympy.printing.lambdarepr) lambdastr() (in module sympy.utilities.lambdify) lambdify() (in module sympy.utilities.lambdify) LambertW (class in sympy.functions.elementary.exponential) Laplace() (in module sympy.stats) laplace_transform() (in module sympy.integrals.transforms) latex() (in module sympy.printing.latex) LaTeXParsingError (class in sympy.parsing.latex) LatexPrinter (class in sympy.printing.latex) lbound() (in module sympy.codegen.fnodes) LC() (in module sympy.polys.polytools) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm_list() (in module sympy.polys.polytools) ldescent() (in module sympy.solvers.diophantine) LDLdecomposition() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) LDLsolve() (sympy.matrices.matrices.MatrixBase method) Le (in module sympy.core.relational) leading_expv() (sympy.polys.rings.PolyElement method) leading_monom() (sympy.polys.rings.PolyElement method) leading_term() (sympy.polys.rings.PolyElement method) leadterm() (sympy.core.expr.Expr method) least_rotation() (in module sympy.utilities.iterables) left (sympy.sets.sets.Interval attribute) left() (sympy.printing.pretty.stringpict.stringPict method) left_eigenvects() (sympy.matrices.matrices.MatrixEigen method) left_open (sympy.sets.sets.Interval attribute) leftslash() (sympy.printing.pretty.stringpict.stringPict method) legendre (class in sympy.functions.special.polynomials) legendre_poly() (in module sympy.polys.orthopolys) legendre_symbol() (in module sympy.ntheory.residue_ntheory) length (sympy.geometry.curve.Curve attribute) (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.line.Segment attribute) (sympy.geometry.point.Point attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.physics.continuum_mechanics.beam.Beam attribute) (sympy.series.sequences.SeqBase attribute) length() (sympy.combinatorics.permutations.Permutation method) (sympy.polys.polytools.Poly method) lens_formula() (in module sympy.physics.optics.utils) lens_makers_formula() (in module sympy.physics.optics.utils) lerchphi (class in sympy.functions.special.zeta_functions) LessThan (class in sympy.core.relational) LeviCivita (class in sympy.functions.special.tensor_functions) LexOrder (class in sympy.polys.orderings) lfsr_autocorrelation() (in module sympy.crypto.crypto) lfsr_connection_polynomial() (in module sympy.crypto.crypto) lfsr_sequence() (in module sympy.crypto.crypto) Li (class in sympy.functions.special.error_functions) li (class in sympy.functions.special.error_functions) lie_algebra() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) lie_heuristic_abaco1_product() (in module sympy.solvers.ode) lie_heuristic_abaco1_simple() (in module sympy.solvers.ode) lie_heuristic_abaco2_similar() (in module sympy.solvers.ode)

lie_heuristic_abaco2_unique_general() (in module sympy.solvers.ode) lie_heuristic_abaco2_unique_unknown() (in module sympy.solvers.ode) lie_heuristic_bivariate() (in module sympy.solvers.ode) lie_heuristic_chi() (in module sympy.solvers.ode) lie_heuristic_function_sum() (in module sympy.solvers.ode) lie_heuristic_linear() (in module sympy.solvers.ode) LieDerivative (class in sympy.diffgeom) lift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Limit (class in sympy.series.limits) limit() (in module sympy.series.limits) (sympy.core.expr.Expr method) (sympy.matrices.matrices.MatrixCalculus method) limit_denominator() (sympy.core.numbers.Rational method) limit_seq() (in module sympy.series.limitseq) limitinf() (in module sympy.series.gruntz) limits (sympy.geometry.curve.Curve attribute) (sympy.physics.quantum.state.Wavefunction attribute) Line (class in sympy.geometry.line) Line2D (class in sympy.geometry.line) Line2DBaseSeries (class in sympy.plotting.plot) Line3D (class in sympy.geometry.line) Line3DBaseSeries (class in sympy.plotting.plot) line_integrate() (in module sympy.integrals) linear_eq_to_matrix() (in module sympy.solvers.solveset) linear_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) LinearEntity (class in sympy.geometry.line) LinearEntity2D (class in sympy.geometry.line) LinearEntity3D (class in sympy.geometry.line) linearize() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) (sympy.physics.mechanics.linearize.Linearizer method) Linearizer (class in sympy.physics.mechanics.linearize) LineOver1DRangeSeries (class in sympy.plotting.plot) linsolve() (in module sympy.solvers.solveset) list() (sympy.combinatorics.permutations.Cycle method) (sympy.combinatorics.permutations.Permutation method) list2numpy() (in module sympy.matrices.dense) list_can_dims (sympy.physics.units.dimensions.DimensionSystem attribute) list_visitor() (in module sympy.utilities.enumerative) listcoeffs() (sympy.polys.rings.PolyElement method) listmonoms() (sympy.polys.rings.PolyElement method) listterms() (sympy.polys.rings.PolyElement method) literal_dp (class in sympy.codegen.fnodes) literal_sp (class in sympy.codegen.fnodes) liupc() (sympy.matrices.sparse.SparseMatrix method) LM() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) load (sympy.physics.continuum_mechanics.beam.Beam attribute) load_vector (sympy.physics.continuum_mechanics.beam.Beam3D attribute) loads (sympy.physics.mechanics.system.SymbolicSystem attribute) locate_new() (sympy.vector.coordsysrect.CoordSys3D method) locatenew() (sympy.physics.vector.point.Point method) log (class in sympy.functions.elementary.exponential) log() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.IntegerRing method) log10 (class in sympy.codegen.cfunctions) log1p (class in sympy.codegen.cfunctions) log2 (class in sympy.codegen.cfunctions) Logarithmic() (in module sympy.stats) logcombine() (in module sympy.simplify.simplify) loggamma (class in sympy.functions.special.gamma_functions) Logistic() (in module sympy.stats) LogNormal() (in module sympy.stats) Lopen() (sympy.sets.sets.Interval class method) lower (sympy.physics.secondquant.AntiSymmetricTensor attribute) (sympy.tensor.indexed.Idx attribute) lower_central_series() (sympy.combinatorics.perm_groups.PermutationGroup method) lower_triangular (sympy.assumptions.ask.AssumptionKeys attribute) lower_triangular_solve() (sympy.matrices.matrices.MatrixBase method) lowergamma (class in sympy.functions.special.gamma_functions) lseries() (sympy.core.expr.Expr method) Lt (in module sympy.core.relational) LT() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) ltrim() (sympy.polys.polytools.Poly method) lucas (class in sympy.functions.combinatorial.numbers) LUdecomposition() (sympy.matrices.matrices.MatrixBase method) LUdecomposition_Simple() (sympy.matrices.matrices.MatrixBase method) LUdecompositionFF() (sympy.matrices.matrices.MatrixBase method) LUsolve() (sympy.matrices.matrices.MatrixBase method)

M

magnitude() (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) major (sympy.geometry.ellipse.Ellipse attribute) make_perm() (sympy.combinatorics.perm_groups.PermutationGroup method) make_routine() (in module sympy.utilities.codegen) Manifold (class in sympy.diffgeom) map() (sympy.polys.domains.domain.Domain method) mass (sympy.physics.mechanics.particle.Particle attribute) mass_matrix (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) mass_matrix_full (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) MatAdd (class in sympy.matrices.expressions) match() (sympy.core.basic.Basic method) matches() (sympy.core.basic.Basic method) mathematica() (in module sympy.parsing.mathematica) mathematica_code() (in module sympy.printing.mathematica) MathieuBase (class in sympy.functions.special.mathieu_functions) mathieuc (class in sympy.functions.special.mathieu_functions) mathieucprime (class in sympy.functions.special.mathieu_functions) mathieus (class in sympy.functions.special.mathieu_functions) mathieusprime (class in sympy.functions.special.mathieu_functions) mathml() (in module sympy.printing.mathml) mathml_tag() (sympy.printing.mathml.MathMLContentPrinter method) (sympy.printing.mathml.MathMLPresentationPrinter method) MathMLContentPrinter (class in sympy.printing.mathml) MathMLPresentationPrinter (class in sympy.printing.mathml) MathMLPrinterBase (class in sympy.printing.mathml) MatMul (class in sympy.matrices.expressions) MatPow (class in sympy.matrices.expressions) matrix2numpy() (in module sympy.matrices.dense) matrix_fglm() (in module sympy.polys.fglmtools) matrix_form() (sympy.liealgebras.weyl_group.WeylGroup method) matrix_multiply_elementwise() (in module sympy.matrices.dense) matrix_rep() (in module sympy.physics.secondquant) matrix_to_density() (in module sympy.physics.quantum.qubit) matrix_to_qubit() (in module sympy.physics.quantum.qubit) matrix_to_vector() (in module sympy.vector) MatrixBase (class in sympy.matrices.matrices) MatrixCalculus (class in sympy.matrices.matrices) MatrixCommon (class in sympy.matrices.common) MatrixDeterminant (class in sympy.matrices.matrices) MatrixEigen (class in sympy.matrices.matrices) MatrixError (class in sympy.matrices.matrices) MatrixExpr (class in sympy.matrices.expressions) MatrixReductions (class in sympy.matrices.matrices) MatrixSubspaces (class in sympy.matrices.matrices) MatrixSymbol (class in sympy.matrices.expressions) Max (class in sympy.functions.elementary.miscellaneous) max (sympy.codegen.ast.FloatType attribute) max() (sympy.combinatorics.permutations.Permutation method) max_bmoment() (sympy.physics.continuum_mechanics.beam.Beam method) max_deflection() (sympy.physics.continuum_mechanics.beam.Beam method) max_div (sympy.combinatorics.perm_groups.PermutationGroup attribute) max_exponent (sympy.codegen.ast.FloatType attribute) max_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) max_shear_force() (sympy.physics.continuum_mechanics.beam.Beam method) Maxwell() (in module sympy.stats) MCodePrinter (class in sympy.printing.mathematica) mdft() (in module sympy.physics.matrices) measure (sympy.sets.sets.Set attribute) measure_all() (in module sympy.physics.quantum.qubit) measure_all_oneshot() (in module sympy.physics.quantum.qubit) measure_partial() (in module sympy.physics.quantum.qubit) measure_partial_oneshot() (in module sympy.physics.quantum.qubit) medial (sympy.geometry.polygon.Triangle attribute) medians (sympy.geometry.polygon.Triangle attribute) Medium (class in sympy.physics.optics.medium) meets() (sympy.series.gruntz.SubsSet method) meijerg (class in sympy.functions.special.hyper) mellin_transform() (in module sympy.integrals.transforms) memoize_property() (in module sympy.utilities.decorator) merge (class in sympy.codegen.fnodes) merge_solution() (in module sympy.solvers.diophantine) metric_to_Christoffel_1st() (in module sympy.diffgeom) metric_to_Christoffel_2nd() (in module sympy.diffgeom) metric_to_Ricci_components() (in module sympy.diffgeom) metric_to_Riemann_components() (in module sympy.diffgeom) mgamma() (in module sympy.physics.matrices) midpoint (sympy.geometry.line.Segment attribute) midpoint() (sympy.geometry.point.Point method) Min (class in sympy.functions.elementary.miscellaneous) min() (sympy.combinatorics.permutations.Permutation method) min_exponent (sympy.codegen.ast.FloatType attribute) min_qubits (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) (sympy.physics.quantum.gate.Gate attribute)

minimal_block() (sympy.combinatorics.perm_groups.PermutationGroup method) minimal_blocks() (sympy.combinatorics.perm_groups.PermutationGroup method) minimal_polynomial() (in module sympy.polys.numberfields) minlex() (in module sympy.utilities.iterables) minor (sympy.geometry.ellipse.Ellipse attribute) minor() (sympy.matrices.matrices.MatrixDeterminant method) minor_submatrix() (sympy.matrices.matrices.MatrixDeterminant method) minpoly() (in module sympy.polys.numberfields) mirror_formula() (in module sympy.physics.optics.utils) mobius (class in sympy.ntheory) mobius_transform() (in module sympy.discrete.transforms) mobiusrange() (sympy.ntheory.generate.Sieve method) Mod (class in sympy.core.mod) modgcd_bivariate() (in module sympy.polys.modulargcd) modgcd_multivariate() (in module sympy.polys.modulargcd) modgcd_univariate() (in module sympy.polys.modulargcd) Module (class in sympy.codegen.fnodes) (class in sympy.polys.agca.modules) module_quotient() (sympy.polys.agca.modules.SubModule method) ModuleHomomorphism (class in sympy.polys.agca.homomorphisms) moment_load_vector (sympy.physics.continuum_mechanics.beam.Beam3D attribute) momentum (sympy.physics.quantum.cartesian.PxBra attribute) (sympy.physics.quantum.cartesian.PxKet attribute) monic() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) Monomial (class in sympy.polys.monomials) monomial_basis() (sympy.polys.rings.PolyRing method) monomial_count() (in module sympy.polys.monomials) monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) monotonicity_helper() (in module sympy.calculus.singularities) Morphism (class in sympy.categories) morphisms (sympy.categories.diagram_drawing.DiagramGrid attribute) MpmathPrinter (class in sympy.printing.pycode) mr() (in module sympy.ntheory.primetest) mrv() (in module sympy.series.gruntz) mrv_leadterm() (in module sympy.series.gruntz) mrv_max1() (in module sympy.series.gruntz) mrv_max3() (in module sympy.series.gruntz) msigma() (in module sympy.physics.matrices) msubs() (in module sympy.physics.mechanics) Mul (class in sympy.core.mul) mul() (sympy.algebras.Quaternion method) Mul() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) mul() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) mul_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) mul_inv() (sympy.combinatorics.permutations.Permutation method) mul_xin() (in module sympy.polys.ring_series) MultiFactorial (class in sympy.functions.combinatorial.factorials) multinomial_coefficients() (in module sympy.ntheory.multinomial) multinomial_coefficients_iterator() (in module sympy.ntheory.multinomial) multiplicity() (in module sympy.ntheory.factor_) multiply() (sympy.matrices.matrices.MatrixBase method) multiply_elementwise() (sympy.matrices.common.MatrixCommon method) multiply_ideal() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) multiset() (in module sympy.utilities.iterables) multiset_combinations() (in module sympy.utilities.iterables) multiset_partitions() (in module sympy.utilities.iterables) multiset_partitions_taocp() (in module sympy.utilities.enumerative) multiset_permutations() (in module sympy.utilities.iterables) MultisetPartitionTraverser (class in sympy.utilities.enumerative) MultivariatePolynomialError (class in sympy.polys.polyerrors) MutableDenseMatrix (class in sympy.matrices.dense) MutableDenseNDimArray (class in sympy.tensor.array) MutableSparseMatrix (class in sympy.matrices.sparse) MutableSparseNDimArray (class in sympy.tensor.array) Mx (class in sympy.physics.quantum.circuitplot) Mz (class in sympy.physics.quantum.circuitplot)

N

n (sympy.combinatorics.graycode.GrayCode attribute) N (sympy.physics.quantum.shor.CMod attribute) N() (in module sympy.core.evalf) n() (sympy.geometry.point.Point method) (sympy.matrices.common.MatrixCommon method) (sympy.polys.domains.domain.Domain method) n_order() (in module sympy.ntheory.residue_ntheory) Nakagami() (in module sympy.stats) name (sympy.categories.Category attribute) (sympy.categories.NamedMorphism attribute) NamedMorphism (class in sympy.categories) NaN (class in sympy.core.numbers) Nand (class in sympy.logic.boolalg) nargs (sympy.core.function.FunctionClass attribute) native_coeffs() (sympy.polys.numberfields.AlgebraicNumber method) Naturals (class in sympy.sets.fancysets) Naturals0 (class in sympy.sets.fancysets) Ne (in module sympy.core.relational) necklaces() (in module sympy.utilities.iterables) neg() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) negative (sympy.assumptions.ask.AssumptionKeys attribute) NegativeBinomial() (in module sympy.stats) NegativeInfinity (class in sympy.core.numbers) NegativeOne (class in sympy.core.numbers) new() (sympy.polys.polytools.Poly class method) newtons_method() (in module sympy.codegen.algorithms) newtons_method_function() (in module sympy.codegen.algorithms) next() (sympy.combinatorics.graycode.GrayCode method) (sympy.combinatorics.prufer.Prufer method) (sympy.printing.pretty.stringpict.stringPict static method) next_binary() (sympy.combinatorics.subsets.Subset method) next_gray() (sympy.combinatorics.subsets.Subset method) next_lex() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.combinatorics.permutations.Permutation method) next_lexicographic() (sympy.combinatorics.subsets.Subset method) next_nonlex() (sympy.combinatorics.permutations.Permutation method) next_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) nextprime() (in module sympy.ntheory.generate) nfloat() (in module sympy.core.function) nine_point_circle (sympy.geometry.polygon.Triangle attribute) nnz() (sympy.matrices.sparse.SparseMatrix method) NO (class in sympy.physics.secondquant) no_attrs_in_subclass (class in sympy.utilities.decorator) Node (class in sympy.codegen.ast) nodes (sympy.combinatorics.prufer.Prufer attribute) NoneToken (class in sympy.codegen.ast) nonlinsolve() (in module sympy.solvers.solveset) nonnegative (sympy.assumptions.ask.AssumptionKeys attribute) nonpositive (sympy.assumptions.ask.AssumptionKeys attribute)

NonSquareMatrixError (class in sympy.matrices.matrices) nonzero (sympy.assumptions.ask.AssumptionKeys attribute) Nor (class in sympy.logic.boolalg) norm (sympy.physics.quantum.state.Wavefunction attribute) norm() (sympy.algebras.Quaternion method) (sympy.matrices.matrices.MatrixBase method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) normal (sympy.assumptions.ask.AssumptionKeys attribute) Normal() (in module sympy.stats) normal_closure() (sympy.combinatorics.perm_groups.PermutationGroup method) normal_lines() (sympy.geometry.ellipse.Ellipse method) normal_vector (sympy.geometry.plane.Plane attribute) normalize() (sympy.algebras.Quaternion method) (sympy.physics.quantum.state.Wavefunction method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) normalize_theta_set() (in module sympy.sets.fancysets) normalized() (in module sympy.physics.quantum.gate) (sympy.matrices.matrices.MatrixBase method) NormalPSpace (class in sympy.stats.crv_types) Not (class in sympy.logic.boolalg) not_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) NotAlgebraic (class in sympy.polys.polyerrors) NotInvertible (class in sympy.polys.polyerrors) NotReversible (class in sympy.polys.polyerrors) npartitions() (in module sympy.ntheory.partitions_) nqubits (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.Gate attribute) nroots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nseries() (sympy.core.expr.Expr method) nsimplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) nsolve() (in module sympy.solvers.solvers) nth() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) nth_power_roots_poly() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nthroot() (in module sympy.simplify.simplify) nthroot_mod() (in module sympy.ntheory.residue_ntheory) ntt() (in module sympy.discrete.transforms) nu (sympy.functions.special.hyper.meijerg attribute) nullspace() (sympy.matrices.matrices.MatrixSubspaces method) Number (class in sympy.core.numbers) numbered_symbols() (in module sympy.utilities.iterables) NumberSymbol (class in sympy.core.numbers) numer() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) NumPyPrinter (class in sympy.printing.pycode)

O

Object (class in sympy.categories) objects (sympy.categories.Category attribute) (sympy.categories.Diagram attribute) octave_code() (in module sympy.printing.octave) OctaveCodeGen (class in sympy.utilities.codegen) OctaveCodePrinter (class in sympy.printing.octave) odd (sympy.assumptions.ask.AssumptionKeys attribute) ode_1st_exact() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_best() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_dep_div_indep() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_indep_div_dep() (in module sympy.solvers.ode) ode_1st_linear() (in module sympy.solvers.ode) ode_1st_power_series() (in module sympy.solvers.ode) ode_2nd_power_series_ordinary() (in module sympy.solvers.ode) ode_2nd_power_series_regular() (in module sympy.solvers.ode) ode_almost_linear() (in module sympy.solvers.ode) ode_Bernoulli() (in module sympy.solvers.ode) ode_lie_group() (in module sympy.solvers.ode) ode_linear_coefficients() (in module sympy.solvers.ode) ode_Liouville() (in module sympy.solvers.ode) ode_nth_algebraic() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_homogeneous() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_undetermined_coefficients() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_variation_of_parameters() (in module sympy.solvers.ode) ode_nth_order_reducible() (in module sympy.solvers.ode) ode_order() (in module sympy.solvers.deutils) ode_Riccati_special_minus2() (in module sympy.solvers.ode) ode_separable() (in module sympy.solvers.ode) ode_separable_reduced() (in module sympy.solvers.ode) ode_sol_simplicity() (in module sympy.solvers.ode) odesimp() (in module sympy.solvers.ode) of_type() (sympy.polys.domains.domain.Domain method) offset (sympy.tensor.indexed.IndexedBase attribute) old_frac_field() (sympy.polys.domains.domain.Domain method) old_poly_ring() (sympy.polys.domains.domain.Domain method) One (class in sympy.core.numbers) one (sympy.polys.polytools.Poly attribute) one_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) OneQubitGate (class in sympy.physics.quantum.gate)

ones() (in module sympy.matrices.dense) (sympy.matrices.common.MatrixCommon class method) open() (sympy.sets.sets.Interval class method) OperationNotSupported (class in sympy.polys.polyerrors) Operator (class in sympy.physics.quantum.operator) operators (sympy.physics.quantum.state.StateBase attribute) operators_to_state() (in module sympy.physics.quantum.operatorset) opt_cse() (in module sympy.simplify.cse_main) Optimization (class in sympy.codegen.rewriting) optimize() (in module sympy.codegen.rewriting) OptionError (class in sympy.polys.polyerrors) Or (class in sympy.logic.boolalg) OracleGate (class in sympy.physics.quantum.grover) orbit() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_rep() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_transversal() (sympy.combinatorics.perm_groups.PermutationGroup method) orbits() (sympy.combinatorics.perm_groups.PermutationGroup method) Order (class in sympy.series.order) order (sympy.functions.special.bessel.BesselBase attribute) order() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method) ordered_partitions() (in module sympy.utilities.iterables) ordinal() (in module sympy.utilities.misc) orient() (sympy.physics.vector.frame.ReferenceFrame method) orient_new() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_axis() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_body() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_quaternion() (sympy.vector.coordsysrect.CoordSys3D method) orient_new_space() (sympy.vector.coordsysrect.CoordSys3D method) Orienter (class in sympy.vector.orienters) orientnew() (sympy.physics.vector.frame.ReferenceFrame method) origin (sympy.geometry.point.Point attribute) orthocenter (sympy.geometry.polygon.Triangle attribute) orthogonal (sympy.assumptions.ask.AssumptionKeys attribute) orthogonal_direction (sympy.geometry.point.Point attribute) orthogonalize() (sympy.matrices.matrices.MatrixSubspaces class method) outer() (in module sympy.physics.vector.functions) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) OuterProduct (class in sympy.physics.quantum.operator) OutputArgument (class in sympy.utilities.codegen)

P

P() (in module sympy.stats) p1 (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.plane.Plane attribute) p2 (sympy.geometry.line.LinearEntity attribute) padded_key() (in module sympy.crypto.crypto) parallel_line() (sympy.geometry.line.LinearEntity method) parallel_plane() (sympy.geometry.plane.Plane method) parallel_poly_from_expr() (in module sympy.polys.polytools) parameter (sympy.geometry.curve.Curve attribute) parameter_value() (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.plane.Plane method) Parametric2DLineSeries (class in sympy.plotting.plot) Parametric3DLineSeries (class in sympy.plotting.plot) ParametricSurfaceSeries (class in sympy.plotting.plot) parametrize_ternary_quadratic() (in module sympy.solvers.diophantine) parens() (sympy.printing.pretty.stringpict.stringPict method) Pareto() (in module sympy.stats) parity() (sympy.combinatorics.permutations.Permutation method) parse_expr() (in module sympy.parsing.sympy_parser) parse_latex() (in module sympy.parsing.latex) parse_maxima() (in module sympy.parsing.maxima) partial_velocity() (in module sympy.physics.vector.functions) (sympy.physics.vector.frame.ReferenceFrame method) (sympy.physics.vector.point.Point method) Particle (class in sympy.physics.mechanics.particle) Partition (class in sympy.combinatorics.partitions) partition (class in sympy.functions.combinatorial.numbers) (sympy.combinatorics.partitions.Partition attribute) partition() (in module sympy.solvers.diophantine) partitions() (in module sympy.utilities.iterables) pat_matrix() (in module sympy.physics.matrices) Patch (class in sympy.diffgeom) pde_1st_linear_constant_coeff() (in module sympy.solvers.pde) pde_1st_linear_constant_coeff_homogeneous() (in module sympy.solvers.pde) pde_1st_linear_variable_coeff() (in module sympy.solvers.pde) pde_separate() (in module sympy.solvers.pde) pde_separate_add() (in module sympy.solvers.pde) pde_separate_mul() (in module sympy.solvers.pde) pdiv() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pdsolve() (in module sympy.solvers.pde) per() (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) perfect_power() (in module sympy.ntheory.factor_) periapsis (sympy.geometry.ellipse.Ellipse attribute) perimeter (sympy.geometry.polygon.Polygon attribute) period_find() (in module sympy.physics.quantum.shor) periodic_argument (class in sympy.functions.elementary.complexes) perm2tensor() (sympy.tensor.tensor.TensMul method) permeability (sympy.physics.optics.medium.Medium attribute) permittivity (sympy.physics.optics.medium.Medium attribute) Permutation (class in sympy.combinatorics.permutations) PermutationGroup (class in sympy.combinatorics.perm_groups) PermutationOperator (class in sympy.physics.secondquant) permute() (sympy.matrices.common.MatrixCommon method) (sympy.polys.polyclasses.DMP method) permute_cols() (sympy.matrices.common.MatrixCommon method) permute_rows() (sympy.matrices.common.MatrixCommon method) permute_signs() (in module sympy.utilities.iterables) permutedims() (in module sympy.tensor.array) perpendicular_bisector() (sympy.geometry.line.Segment method) perpendicular_line() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line.LinearEntity2D method) (sympy.geometry.plane.Plane method) perpendicular_plane() (sympy.geometry.plane.Plane method) perpendicular_segment() (sympy.geometry.line.LinearEntity method) pexquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pgroup (sympy.combinatorics.polyhedron.Polyhedron attribute) Phase (in module sympy.physics.quantum.gate) phase (sympy.physics.optics.waves.TWave attribute) PhaseGate (class in sympy.physics.quantum.gate) Pi (class in sympy.core.numbers) PIABBra (class in sympy.physics.quantum.piab) PIABHamiltonian (class in sympy.physics.quantum.piab) PIABKet (class in sympy.physics.quantum.piab) Piecewise (class in sympy.functions.elementary.piecewise) piecewise_fold() (in module sympy.functions.elementary.piecewise) pinv() (sympy.matrices.matrices.MatrixBase method) pinv_solve() (sympy.matrices.matrices.MatrixBase method) Plane (class in sympy.geometry.plane) Plot (class in sympy.plotting.plot) plot() (in module sympy.plotting.plot) plot3d() (in module sympy.plotting.plot) plot3d_parametric_line() (in module sympy.plotting.plot) plot3d_parametric_surface() (in module sympy.plotting.plot) plot_bending_moment() (sympy.physics.continuum_mechanics.beam.Beam method) plot_deflection() (sympy.physics.continuum_mechanics.beam.Beam method) plot_gate() (sympy.physics.quantum.gate.CGate method) plot_implicit() (in module sympy.plotting.plot_implicit) plot_interval() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.polygon.Polygon method) plot_loading_results() (sympy.physics.continuum_mechanics.beam.Beam method) plot_parametric() (in module sympy.plotting.plot) plot_shear_force() (sympy.physics.continuum_mechanics.beam.Beam method) plot_slope() (sympy.physics.continuum_mechanics.beam.Beam method) Point (class in sympy.diffgeom) (class in sympy.geometry.point) (class in sympy.physics.vector.point) point (sympy.core.function.Subs attribute) (sympy.physics.mechanics.particle.Particle attribute) point() (sympy.diffgeom.CoordSystem method) Point2D (class in sympy.geometry.point) Point3D (class in sympy.geometry.point) point_cflexure() (sympy.physics.continuum_mechanics.beam.Beam method) point_to_coords() (sympy.diffgeom.CoordSystem method) Pointer (class in sympy.codegen.ast) points (sympy.geometry.line.LinearEntity attribute) pointwise_stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) Poisson() (in module sympy.stats) polar (sympy.sets.fancysets.ComplexRegion attribute) polar_lift (class in sympy.functions.elementary.complexes) PoleError (class in sympy.core.function) PolificationFailed (class in sympy.polys.polyerrors) pollard_pm1() (in module sympy.ntheory.factor_) pollard_rho() (in module sympy.ntheory.factor_) Poly (class in sympy.polys.polytools) poly() (in module sympy.polys.polytools) poly_from_expr() (in module sympy.polys.polytools) poly_ring() (sympy.polys.domains.domain.Domain method) poly_unify() (sympy.polys.polyclasses.DMF method) PolyElement (class in sympy.polys.rings) polygamma (class in sympy.functions.special.gamma_functions) Polygon (class in sympy.geometry.polygon) Polyhedron (class in sympy.combinatorics.polyhedron) polylog (class in sympy.functions.special.zeta_functions) polynomial() (sympy.series.formal.FormalPowerSeries method) PolynomialError (class in sympy.polys.polyerrors) PolynomialRing (class in sympy.polys.domains) PolyRing (class in sympy.polys.rings) polytope_integrate() (in module sympy.integrals.intpoly) pos() (sympy.polys.domains.domain.Domain method) pos_from() (sympy.physics.vector.point.Point method) POSform() (in module sympy.logic.boolalg) posify() (in module sympy.simplify.simplify) position (sympy.physics.quantum.cartesian.XBra attribute) (sympy.physics.quantum.cartesian.XKet attribute) position_wrt() (sympy.vector.coordsysrect.CoordSys3D method) position_x (sympy.physics.quantum.cartesian.PositionState3D attribute) position_y (sympy.physics.quantum.cartesian.PositionState3D attribute) position_z (sympy.physics.quantum.cartesian.PositionState3D attribute) PositionBra3D (class in sympy.physics.quantum.cartesian) PositionKet3D (class in sympy.physics.quantum.cartesian) PositionState3D (class in sympy.physics.quantum.cartesian) positive (sympy.assumptions.ask.AssumptionKeys attribute) positive_definite (sympy.assumptions.ask.AssumptionKeys attribute) positive_roots() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method)

PostDecrement (class in sympy.codegen.cnodes) postfixes() (in module sympy.utilities.iterables) PostIncrement (class in sympy.codegen.cnodes) postorder_traversal() (in module sympy.utilities.iterables) potential_energy (sympy.physics.mechanics.particle.Particle attribute) (sympy.physics.mechanics.rigidbody.RigidBody attribute) potential_energy() (in module sympy.physics.mechanics.functions) Pow (class in sympy.core.power) pow() (sympy.algebras.Quaternion method) Pow() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.ntheory.AskPrimeHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) pow() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pow_cos_sin() (sympy.algebras.Quaternion method) pow_xin() (in module sympy.polys.ring_series) powdenest() (in module sympy.simplify.powsimp) powerset() (sympy.sets.sets.Set method) powsimp() (in module sympy.simplify.powsimp) (sympy.core.expr.Expr method) pprint_nodes() (in module sympy.printing.tree) PQa() (in module sympy.solvers.diophantine) pquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) PRECEDENCE (in module sympy.printing.precedence) precedence() (in module sympy.printing.precedence) PRECEDENCE_FUNCTIONS (in module sympy.printing.precedence) PRECEDENCE_VALUES (in module sympy.printing.precedence) PrecisionExhausted (class in sympy.core.evalf) PreDecrement (class in sympy.codegen.cnodes) Predicate (class in sympy.assumptions.assume) preferred_index (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) Prefix (class in sympy.physics.units.prefixes) prefixes() (in module sympy.utilities.iterables) PreIncrement (class in sympy.codegen.cnodes) prem() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) premises (sympy.categories.Diagram attribute) presentation() (sympy.combinatorics.perm_groups.PermutationGroup method) pretty() (in module sympy.printing.pretty.pretty) pretty_atom() (in module sympy.printing.pretty.pretty_symbology) pretty_print() (in module sympy.printing.pretty.pretty) pretty_symbol() (in module sympy.printing.pretty.pretty_symbology) pretty_try_use_unicode() (in module sympy.printing.pretty.pretty_symbology) pretty_use_unicode() (in module sympy.printing.pretty.pretty_symbology) prettyForm (class in sympy.printing.pretty.stringpict) PrettyPrinter (class in sympy.printing.pretty.pretty) prev() (sympy.combinatorics.prufer.Prufer method) prev_binary() (sympy.combinatorics.subsets.Subset method) prev_gray() (sympy.combinatorics.subsets.Subset method) prev_lex() (sympy.combinatorics.partitions.IntegerPartition method) prev_lexicographic() (sympy.combinatorics.subsets.Subset method) preview() (in module sympy.printing.preview) preview_diagram() (in module sympy.categories.diagram_drawing) prevprime() (in module sympy.ntheory.generate) prime (sympy.assumptions.ask.AssumptionKeys attribute) prime() (in module sympy.ntheory.generate) prime_as_sum_of_two_squares() (in module sympy.solvers.diophantine) primefactors() (in module sympy.ntheory.factor_) primenu (class in sympy.ntheory.factor_) primeomega (class in sympy.ntheory.factor_) primepi() (in module sympy.ntheory.generate) primerange() (in module sympy.ntheory.generate) (sympy.ntheory.generate.Sieve method) primitive() (in module sympy.polys.polytools) (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) primitive_element() (in module sympy.polys.numberfields) primitive_root() (in module sympy.ntheory.residue_ntheory) primorial() (in module sympy.ntheory.generate) principal_branch (class in sympy.functions.elementary.complexes) principal_value() (sympy.integrals.Integral method) Print (class in sympy.codegen.ast) print_ccode() (in module sympy.printing.ccode) print_dim_base() (sympy.physics.units.dimensions.DimensionSystem method) print_fcode() (in module sympy.printing.fcode) print_gtk() (in module sympy.printing.gtk) print_latex() (in module sympy.printing.latex) print_mathml() (in module sympy.printing.mathml) print_node() (in module sympy.printing.tree) print_nonzero() (sympy.matrices.matrices.MatrixBase method) print_rcode() (in module sympy.printing.rcode) print_tree() (in module sympy.printing.tree) print_unit_base() (sympy.physics.units.unitsystem.UnitSystem method) Printer (class in sympy.printing.printer) printmethod (sympy.printing.ccode.C89CodePrinter attribute) (sympy.printing.ccode.C99CodePrinter attribute) (sympy.printing.codeprinter.CodePrinter attribute) (sympy.printing.cxxcode.CXX11CodePrinter attribute) (sympy.printing.cxxcode.CXX98CodePrinter attribute) (sympy.printing.fcode.FCodePrinter attribute) (sympy.printing.jscode.JavascriptCodePrinter attribute) (sympy.printing.julia.JuliaCodePrinter attribute) (sympy.printing.lambdarepr.LambdaPrinter attribute) (sympy.printing.latex.LatexPrinter attribute) (sympy.printing.mathematica.MCodePrinter attribute) (sympy.printing.mathml.MathMLContentPrinter attribute) (sympy.printing.mathml.MathMLPresentationPrinter attribute) (sympy.printing.octave.OctaveCodePrinter attribute) (sympy.printing.pretty.pretty.PrettyPrinter attribute) (sympy.printing.printer.Printer attribute) (sympy.printing.rcode.RCodePrinter attribute) (sympy.printing.repr.ReprPrinter attribute) (sympy.printing.rust.RustCodePrinter attribute) (sympy.printing.str.StrPrinter attribute) (sympy.printing.theanocode.TheanoPrinter attribute) prob() (sympy.physics.quantum.state.Wavefunction method) Probability (class in sympy.stats) prod() (in module sympy.core.mul) Product (class in sympy.concrete.products) product() (in module sympy.concrete.products) (sympy.polys.agca.ideals.Ideal method) ProductDomain (class in sympy.stats.rv) ProductPSpace (class in sympy.stats.rv) ProductSet (class in sympy.sets.sets) Program (class in sympy.codegen.fnodes) project() (sympy.geometry.point.Point static method) (sympy.matrices.matrices.MatrixBase method) projection() (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) (sympy.vector.vector.Vector method) projection_line() (sympy.geometry.plane.Plane method) Prufer (class in sympy.combinatorics.prufer) prufer_rank() (sympy.combinatorics.prufer.Prufer method) prufer_repr (sympy.combinatorics.prufer.Prufer attribute) psets (sympy.sets.fancysets.ComplexRegion attribute) psi_n() (in module sympy.physics.qho_1d) Psi_nlm() (in module sympy.physics.hydrogen) PSpace (class in sympy.stats.rv) pspace() (in module sympy.stats.rv) public() (in module sympy.utilities.decorator) PurePoly (class in sympy.polys.polytools) PxBra (class in sympy.physics.quantum.cartesian) PxKet (class in sympy.physics.quantum.cartesian) PxOp (class in sympy.physics.quantum.cartesian) pycode() (in module sympy.printing.pycode) PyTestReporter (class in sympy.utilities.runtests) Python Enhancement Proposals PEP 335, [1], [2], [3] PythonFiniteField (class in sympy.polys.domains) PythonIntegerRing (class in sympy.polys.domains) PythonRationalField (class in sympy.polys.domains)

Q

q (sympy.physics.optics.gaussopt.BeamParameter attribute) qapply() (in module sympy.physics.quantum.qapply) QFT (class in sympy.physics.quantum.qft) QRdecomposition() (sympy.matrices.matrices.MatrixBase method) QRsolve() (sympy.matrices.matrices.MatrixBase method) quadratic_residues() (in module sympy.ntheory.residue_ntheory) QuadraticU() (in module sympy.stats) Quantity (class in sympy.physics.units.quantities) Quaternion (class in sympy.algebras) QuaternionOrienter (class in sympy.vector.orienters) Qubit (class in sympy.physics.quantum.qubit) qubit_to_matrix() (in module sympy.physics.quantum.qubit) QubitBra (class in sympy.physics.quantum.qubit) quo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method)

quo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) QuotedString (class in sympy.codegen.ast) quotient() (sympy.polys.agca.ideals.Ideal method) quotient_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_hom() (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubQuotientModule method) quotient_module() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) quotient_ring() (sympy.polys.domains.ring.Ring method) QuotientModule (class in sympy.polys.agca.modules)

R

R_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) racah() (in module sympy.physics.wigner) rad_rationalize() (in module sympy.simplify.radsimp) Rademacher() (in module sympy.stats) radical() (sympy.polys.agca.ideals.Ideal method) radius (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.physics.optics.gaussopt.BeamParameter attribute) radius_of_convergence (sympy.functions.special.hyper.hyper attribute) radsimp() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) RaisedCosine() (in module sympy.stats) raises() (in module sympy.utilities.pytest) randMatrix() (in module sympy.matrices.dense) random() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation class method) random_bitstring() (sympy.combinatorics.graycode method) random_circuit() (in module sympy.physics.quantum.gate) random_complex_number() (in module sympy.utilities.randtest) random_integer_partition() (in module sympy.combinatorics.partitions) random_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) random_poly() (in module sympy.polys.specialpolys) random_pr() (sympy.combinatorics.perm_groups.PermutationGroup method) random_stab() (sympy.combinatorics.perm_groups.PermutationGroup method) random_symbols() (in module sympy.stats.rv) RandomDomain (class in sympy.stats.rv) RandomSymbol (class in sympy.stats.rv) randprime() (in module sympy.ntheory.generate) Range (class in sympy.sets.fancysets) ranges (sympy.tensor.indexed.Indexed attribute) rank (sympy.combinatorics.graycode.GrayCode attribute) (sympy.combinatorics.partitions.Partition attribute) (sympy.combinatorics.prufer.Prufer attribute) (sympy.tensor.indexed.Indexed attribute) rank() (sympy.combinatorics.permutations.Permutation method) (sympy.liealgebras.cartan_type.Standard_Cartan method) (sympy.matrices.matrices.MatrixReductions method) rank_binary (sympy.combinatorics.subsets.Subset attribute) rank_decomposition() (sympy.matrices.matrices.MatrixBase method) rank_gray (sympy.combinatorics.subsets.Subset attribute) rank_lexicographic (sympy.combinatorics.subsets.Subset attribute) rank_nonlex() (sympy.combinatorics.permutations.Permutation method) rank_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) rat_clear_denoms() (sympy.polys.polytools.Poly method) rational Rational (class in sympy.core.numbers) rational (sympy.assumptions.ask.AssumptionKeys attribute) rational_algorithm() (in module sympy.series.formal) rational_independent() (in module sympy.series.formal) RationalField (class in sympy.polys.domains) rationalize() (in module sympy.parsing.sympy_parser) ratsimp() (in module sympy.simplify.ratsimp) (sympy.core.expr.Expr method) rawlines() (in module sympy.utilities.misc) Ray (class in sympy.geometry.line) Ray2D (class in sympy.geometry.line) Ray3D (class in sympy.geometry.line) Rayleigh() (in module sympy.stats) rayleigh2waist() (in module sympy.physics.optics.gaussopt) RayTransferMatrix (class in sympy.physics.optics.gaussopt) rcall() (sympy.core.basic.Basic method) rcode() (in module sympy.printing.rcode) RCodePrinter (class in sympy.printing.rcode) rcollect() (in module sympy.simplify.radsimp) re (class in sympy.functions.elementary.complexes) reaction_loads (sympy.physics.continuum_mechanics.beam.Beam attribute) real (sympy.assumptions.ask.AssumptionKeys attribute) real_elements (sympy.assumptions.ask.AssumptionKeys attribute) real_root() (in module sympy.functions.elementary.miscellaneous) real_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) RealField (class in sympy.polys.domains) RealNumber (in module sympy.core.numbers) reconstruct() (in module sympy.solvers.diophantine) recurrence_memo() (in module sympy.utilities.memoization) red_groebner() (in module sympy.polys.groebnertools) reduce() (sympy.polys.polytools.GroebnerBasis method) (sympy.series.sequences.SeqAdd static method) (sympy.series.sequences.SeqMul static method) (sympy.sets.sets.Complement static method) reduce_abs_inequalities() (in module sympy.solvers.inequalities) reduce_abs_inequality() (in module sympy.solvers.inequalities) reduce_element() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) reduce_inequalities() (in module sympy.solvers.inequalities) reduce_rational_inequalities() (in module sympy.solvers.inequalities) reduced() (in module sympy.polys.polytools) reduced_totient (class in sympy.ntheory.factor_) ReferenceFrame (class in sympy.physics.vector.frame) refine() (in module sympy.assumptions.refine) (sympy.core.expr.Expr method) (sympy.matrices.common.MatrixCommon method) refine_abs() (in module sympy.assumptions.refine) refine_atan2() (in module sympy.assumptions.refine) refine_Pow() (in module sympy.assumptions.refine) refine_Relational() (in module sympy.assumptions.refine) refine_root() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) RefinementFailed (class in sympy.polys.polyerrors) reflect() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.polygon.RegularPolygon method) refraction_angle() (in module sympy.physics.optics.utils) refractive_index (sympy.physics.optics.medium.Medium attribute) register_handler() (in module sympy.assumptions.ask) RegularPolygon (class in sympy.geometry.polygon) Rel (in module sympy.core.relational) rem() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) remove_handler() (in module sympy.assumptions.ask) remove_load() (sympy.physics.continuum_mechanics.beam.Beam method) removeO() (sympy.core.expr.Expr method) render() (sympy.printing.pretty.stringpict.stringPict method) render_as_module() (in module sympy.codegen.futils) (in module sympy.codegen.pyutils) render_as_source_file() (in module sympy.codegen.cutils) reorder() (sympy.polys.polytools.Poly method) rep_expectation() (in module sympy.physics.quantum.represent) rep_innerproduct() (in module sympy.physics.quantum.represent) repeated_decimals() (in module sympy.parsing.sympy_parser) replace() (in module sympy.utilities.misc) (sympy.core.basic.Basic method) (sympy.matrices.common.MatrixCommon method) (sympy.polys.polytools.Poly method) replace_with_arrays() (sympy.tensor.tensor.TensExpr method) ReplaceOptim (class in sympy.codegen.rewriting) Reporter (class in sympy.utilities.runtests) represent() (in module sympy.physics.quantum.represent) reprify() (sympy.printing.repr.ReprPrinter method) ReprPrinter (class in sympy.printing.repr) reset() (sympy.combinatorics.polyhedron.Polyhedron method) reshape() (in module sympy.codegen.fnodes) (in module sympy.utilities.iterables) (sympy.matrices.common.MatrixCommon method) residue() (in module sympy.series.residues) restrict_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method)

restrict_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Result (class in sympy.utilities.codegen) result_variables (sympy.utilities.codegen.Routine attribute) resultant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) retract() (sympy.polys.polytools.Poly method) Return (class in sympy.codegen.ast) reverse_order() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) reversed (sympy.sets.fancysets.Range attribute) ReversedGradedLexOrder (class in sympy.polys.orderings) revert() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) rewrite() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) RGS (sympy.combinatorics.partitions.Partition attribute) RGS_enum() (in module sympy.combinatorics.partitions) RGS_generalized() (in module sympy.combinatorics.partitions) RGS_rank() (in module sympy.combinatorics.partitions) RGS_unrank() (in module sympy.combinatorics.partitions) rhs() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) richardson() (in module sympy.series.acceleration) riemann_cyclic() (in module sympy.tensor.tensor) riemann_cyclic_replace() (in module sympy.tensor.tensor) right (sympy.sets.sets.Interval attribute) right() (sympy.printing.pretty.stringpict.stringPict method) right_open (sympy.sets.sets.Interval attribute) RigidBody (class in sympy.physics.mechanics.rigidbody) Ring (class in sympy.polys.domains.ring) ring() (in module sympy.polys.rings) RisingFactorial (class in sympy.functions.combinatorial.factorials) Rk (in module sympy.physics.quantum.qft) RkGate (class in sympy.physics.quantum.qft) RL (sympy.matrices.sparse.SparseMatrix attribute) rmul() (sympy.combinatorics.permutations.Permutation static method) rmul_with_af() (sympy.combinatorics.permutations.Permutation class method) root (in module sympy.printing.pretty.pretty_symbology) root() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.polytools.Poly method) (sympy.printing.pretty.stringpict.stringPict method) root_space() (sympy.liealgebras.root_system.RootSystem method) RootOf (class in sympy.polys.rootoftools) rootof() (in module sympy.polys.rootoftools) roots() (in module sympy.polys.polyroots) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) RootSum (class in sympy.polys.rootoftools) RootSystem (class in sympy.liealgebras.root_system) Ropen() (sympy.sets.sets.Interval class method) rot_axis1() (in module sympy.matrices.dense) rot_axis2() (in module sympy.matrices.dense) rot_axis3() (in module sympy.matrices.dense) rotate() (sympy.combinatorics.polyhedron.Polyhedron method) (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.polygon.RegularPolygon method) rotate_left() (in module sympy.utilities.iterables) rotate_point() (sympy.algebras.Quaternion static method) rotate_right() (in module sympy.utilities.iterables) Rotation (class in sympy.physics.quantum.spin) rotation (sympy.geometry.polygon.RegularPolygon attribute) rotation_matrix() (sympy.vector.coordsysrect.CoordSys3D method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.Orienter method) rotations() (in module sympy.utilities.iterables) round() (sympy.core.expr.Expr method) RoundFunction (class in sympy.functions.elementary.integers) Routine (class in sympy.utilities.codegen) routine() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.codegen.JuliaCodeGen method) (sympy.utilities.codegen.OctaveCodeGen method) (sympy.utilities.codegen.RustCodeGen method) row() (sympy.matrices.common.MatrixCommon method) row_del() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_insert() (sympy.matrices.common.MatrixCommon method) row_join() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.sparse.MutableSparseMatrix method) row_list() (sympy.matrices.sparse.SparseMatrix method) row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_structure_symbolic_cholesky() (sympy.matrices.sparse.SparseMatrix method) row_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) rowspace() (sympy.matrices.matrices.MatrixSubspaces method) rref() (sympy.matrices.matrices.MatrixReductions method) rs_asin() (in module sympy.polys.ring_series) rs_atan() (in module sympy.polys.ring_series) rs_atanh() (in module sympy.polys.ring_series) rs_compose_add() (in module sympy.polys.ring_series) rs_cos() (in module sympy.polys.ring_series) rs_cos_sin() (in module sympy.polys.ring_series) rs_cosh() (in module sympy.polys.ring_series) rs_cot() (in module sympy.polys.ring_series) rs_diff() (in module sympy.polys.ring_series) rs_exp() (in module sympy.polys.ring_series) rs_fun() (in module sympy.polys.ring_series) rs_hadamard_exp() (in module sympy.polys.ring_series) rs_integrate() (in module sympy.polys.ring_series) rs_is_puiseux() (in module sympy.polys.ring_series) rs_LambertW() (in module sympy.polys.ring_series) rs_log() (in module sympy.polys.ring_series) rs_mul() (in module sympy.polys.ring_series) rs_newton() (in module sympy.polys.ring_series) rs_nth_root() (in module sympy.polys.ring_series) rs_pow() (in module sympy.polys.ring_series) rs_puiseux() (in module sympy.polys.ring_series) rs_puiseux2() (in module sympy.polys.ring_series) rs_series_from_list() (in module sympy.polys.ring_series) rs_series_inversion() (in module sympy.polys.ring_series) rs_series_reversion() (in module sympy.polys.ring_series) rs_sin() (in module sympy.polys.ring_series) rs_sinh() (in module sympy.polys.ring_series) rs_square() (in module sympy.polys.ring_series) rs_subs() (in module sympy.polys.ring_series) rs_swap() (in module sympy.stats.rv) rs_tan() (in module sympy.polys.ring_series) rs_tanh() (in module sympy.polys.ring_series) rs_trunc() (in module sympy.polys.ring_series) rsa_private_key() (in module sympy.crypto.crypto) rsa_public_key() (in module sympy.crypto.crypto) rsolve() (in module sympy.solvers.recurr) rsolve_hyper() (in module sympy.solvers.recurr) rsolve_hypergeometric() (in module sympy.series.formal) rsolve_poly() (in module sympy.solvers.recurr) rsolve_ratio() (in module sympy.solvers.recurr) run() (sympy.utilities.runtests.SymPyDocTestRunner method) run_all_tests() (in module sympy.utilities.runtests) run_in_subprocess_with_hash_randomization() (in module sympy.utilities.runtests) runs() (in module sympy.utilities.iterables) (sympy.combinatorics.permutations.Permutation method) rust_code() (in module sympy.printing.rust) RustCodeGen (class in sympy.utilities.codegen) RustCodePrinter (class in sympy.printing.rust)

S

S (in module sympy.physics.quantum.gate) sample() (in module sympy.stats) sample_iter() (in module sympy.stats) satisfiable() (in module sympy.logic.inference) saturate() (sympy.polys.agca.ideals.Ideal method) scalar_map() (sympy.vector.coordsysrect.CoordSys3D method) scalar_multiply() (sympy.matrices.sparse.SparseMatrix method) scalar_potential() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scalar_potential_difference() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scale() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.RegularPolygon method) (sympy.series.fourier.FourierSeries method) scale_factor (sympy.physics.units.quantities.Quantity attribute) scalex() (sympy.series.fourier.FourierSeries method) schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_incremental() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_random() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_vector() (sympy.combinatorics.perm_groups.PermutationGroup method) Scope (class in sympy.codegen.ast) sdm_add() (in module sympy.polys.distributedmodules) sdm_deg() (in module sympy.polys.distributedmodules) sdm_ecart() (in module sympy.polys.distributedmodules) sdm_from_dict() (in module sympy.polys.distributedmodules) sdm_from_vector() (in module sympy.polys.distributedmodules) sdm_groebner() (in module sympy.polys.distributedmodules) sdm_LC() (in module sympy.polys.distributedmodules) sdm_LM() (in module sympy.polys.distributedmodules) sdm_LT() (in module sympy.polys.distributedmodules) sdm_monomial_deg() (in module sympy.polys.distributedmodules) sdm_monomial_divides() (in module sympy.polys.distributedmodules) sdm_monomial_mul() (in module sympy.polys.distributedmodules) sdm_mul_term() (in module sympy.polys.distributedmodules) sdm_nf_mora() (in module sympy.polys.distributedmodules) sdm_spoly() (in module sympy.polys.distributedmodules) sdm_to_dict() (in module sympy.polys.distributedmodules) sdm_to_vector() (in module sympy.polys.distributedmodules) sdm_zero() (in module sympy.polys.distributedmodules) search() (sympy.ntheory.generate.Sieve method) search_function (sympy.physics.quantum.grover.OracleGate attribute) sec (class in sympy.functions.elementary.trigonometric) sech (class in sympy.functions.elementary.hyperbolic) second_moment (sympy.physics.continuum_mechanics.beam.Beam attribute) (sympy.physics.continuum_mechanics.beam.Beam3D attribute) second_moment_of_area() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.Polygon method) Segment (class in sympy.geometry.line) Segment2D (class in sympy.geometry.line) Segment3D (class in sympy.geometry.line) select() (sympy.simplify.epathtools.EPath method) selections (sympy.combinatorics.graycode.GrayCode attribute) semilatus_rectum (sympy.geometry.ellipse.Ellipse attribute) separate() (sympy.core.expr.Expr method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) separatevars() (in module sympy.simplify.simplify) SeqAdd (class in sympy.series.sequences) SeqBase (class in sympy.series.sequences) SeqFormula (class in sympy.series.sequences) SeqMul (class in sympy.series.sequences) SeqPer (class in sympy.series.sequences) sequence() (in module sympy.series.sequences) series() (in module sympy.series.series) (sympy.core.expr.Expr method) (sympy.holonomic.holonomic.HolonomicFunction method) (sympy.liealgebras.cartan_type.Standard_Cartan method) SeriesApprox (class in sympy.codegen.approximations) Set (class in sympy.sets.sets) set_acc() (sympy.physics.vector.point.Point method) set_ang_acc() (sympy.physics.vector.frame.ReferenceFrame method) set_ang_vel() (sympy.physics.vector.frame.ReferenceFrame method) set_comm() (sympy.tensor.tensor._TensorManager method) set_comms() (sympy.tensor.tensor._TensorManager method) set_domain() (sympy.polys.polytools.Poly method) set_global_settings() (sympy.printing.printer.Printer class method) set_modulus() (sympy.polys.polytools.Poly method) set_pos() (sympy.physics.vector.point.Point method) set_vel() (sympy.physics.vector.point.Point method) seterr() (in module sympy.core.numbers) sets (sympy.sets.fancysets.ComplexRegion attribute) shanks() (in module sympy.series.acceleration) shape (sympy.matrices.common.MatrixCommon attribute) (sympy.tensor.indexed.Indexed attribute) (sympy.tensor.indexed.IndexedBase attribute) shape() (in module sympy.codegen.fnodes) ShapeError (class in sympy.matrices.matrices) shear_force() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) shear_modulus (sympy.physics.continuum_mechanics.beam.Beam3D attribute) Shi (class in sympy.functions.special.error_functions) shift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.fourier.FourierSeries method) shiftx() (sympy.series.fourier.FourierSeries method) shor() (in module sympy.physics.quantum.shor) Si (class in sympy.functions.special.error_functions) sides (sympy.geometry.polygon.Polygon attribute) Sieve (class in sympy.ntheory.generate) sift() (in module sympy.utilities.iterables) sigma_approximation() (sympy.series.fourier.FourierSeries method) sign (class in sympy.functions.elementary.complexes) sign() (in module sympy.series.gruntz) signature() (sympy.combinatorics.permutations.Permutation method) signed_permutations() (in module sympy.utilities.iterables) SignedIntType (class in sympy.codegen.ast) simple_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) simple_roots() (sympy.liealgebras.root_system.RootSystem method) simpleDE() (in module sympy.series.formal) SimpleDomain (class in sympy.polys.domains.simpledomain) simplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) (sympy.matrices.common.MatrixCommon method) (sympy.matrices.dense.MutableDenseMatrix method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) simplify_gpgp() (in module sympy.physics.hep.gamma_matrices) simplify_index_permutations() (in module sympy.physics.secondquant) simplify_logic() (in module sympy.logic.boolalg) sin (class in sympy.functions.elementary.trigonometric) sinc (class in sympy.functions.elementary.trigonometric) sine_transform() (in module sympy.integrals.transforms) SingleDomain (class in sympy.stats.rv) SinglePSpace (class in sympy.stats.rv) SingletonRegistry (class in sympy.core.singleton) singular (sympy.assumptions.ask.AssumptionKeys attribute) singular_values() (sympy.matrices.matrices.MatrixEigen method) singularities() (in module sympy.calculus.singularities) SingularityFunction (class in sympy.functions.special.singularity_functions) sinh (class in sympy.functions.elementary.hyperbolic) size (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) (sympy.combinatorics.prufer.Prufer attribute) (sympy.combinatorics.subsets.Subset attribute) size() (in module sympy.codegen.fnodes) sizeof() (in module sympy.codegen.cnodes) SKIP() (in module sympy.utilities.pytest) skip() (sympy.combinatorics.graycode.GrayCode method) slice() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) slope (sympy.geometry.line.LinearEntity2D attribute) slope() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) smallest_angle_between() (sympy.geometry.line.LinearEntity method) smoothness() (in module sympy.ntheory.factor_) smoothness_p() (in module sympy.ntheory.factor_) solve() (in module sympy.solvers.solvers) (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_congruence() (in module sympy.ntheory.modular) solve_de() (in module sympy.series.formal) solve_for_reaction_loads() (sympy.physics.continuum_mechanics.beam.Beam method) (sympy.physics.continuum_mechanics.beam.Beam3D method) solve_least_squares() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_linear() (in module sympy.solvers.solvers) solve_linear_system() (in module sympy.solvers.solvers) solve_linear_system_LU() (in module sympy.solvers.solvers) solve_multipliers() (sympy.physics.mechanics.lagrange.LagrangesMethod method) solve_poly_inequality() (in module sympy.solvers.inequalities) solve_poly_system() (in module sympy.solvers.polysys) solve_rational_inequalities() (in module sympy.solvers.inequalities) solve_triangulated() (in module sympy.solvers.polysys) solve_undetermined_coeffs() (in module sympy.solvers.solvers) solve_univariate_inequality() (in module sympy.solvers.inequalities) solveset() (in module sympy.solvers.solveset) solveset_complex() (in module sympy.solvers.solveset) solveset_real() (in module sympy.solvers.solveset) SOPform() (in module sympy.logic.boolalg) sort_dims() (sympy.physics.units.dimensions.DimensionSystem static method) sort_key() (sympy.combinatorics.partitions.Partition method) (sympy.core.basic.Basic method) sorted_components() (sympy.tensor.tensor.TensMul method) source (sympy.geometry.line.Ray attribute) source() (in module sympy.utilities.source) SpaceOrienter (class in sympy.vector.orienters) SparseMatrix (class in sympy.matrices.sparse) speed (sympy.physics.optics.medium.Medium attribute) (sympy.physics.optics.waves.TWave attribute) speeds (sympy.physics.mechanics.system.SymbolicSystem attribute) spin() (sympy.geometry.polygon.RegularPolygon method) split() (sympy.tensor.tensor.TensMul method) split_list() (in module sympy.utilities.runtests) split_super_sub() (in module sympy.printing.conventions) split_symbols() (in module sympy.parsing.sympy_parser) split_symbols_custom() (in module sympy.parsing.sympy_parser) spoly() (in module sympy.polys.groebnertools) sqf() (in module sympy.polys.polytools) sqf_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_norm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_normal() (in module sympy.solvers.diophantine) sqf_part() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqr() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Sqrt (class in sympy.codegen.cfunctions) sqrt() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.domains.domain.Domain method) sqrt_mod() (in module sympy.ntheory.residue_ntheory) sqrtdenest() (in module sympy.simplify.sqrtdenest) square (sympy.assumptions.ask.AssumptionKeys attribute) square() (sympy.polys.rings.PolyElement method) square_factor() (in module sympy.solvers.diophantine) srepr() (in module sympy.printing.repr) sring() (in module sympy.polys.rings) sstrrepr() (in module sympy.printing.str) stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) stack() (sympy.printing.pretty.stringpict.stringPict static method) Standard_Cartan (class in sympy.liealgebras.cartan_type) standard_transformations (in module sympy.parsing.sympy_parser) start (sympy.series.sequences.SeqBase attribute) (sympy.sets.sets.Interval attribute) State (class in sympy.physics.quantum.state) state() (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) state_to_operators() (in module sympy.physics.quantum.operatorset) StateBase (class in sympy.physics.quantum.state) states (sympy.physics.mechanics.system.SymbolicSystem attribute) std() (in module sympy.stats) stieltjes (class in sympy.functions.special.zeta_functions) stirling() (in module sympy.functions.combinatorial.numbers) stop (sympy.series.sequences.SeqBase attribute) Stream (class in sympy.codegen.ast) StrictGreaterThan (class in sympy.core.relational) StrictLessThan (class in sympy.core.relational) strides (sympy.tensor.indexed.IndexedBase attribute) String (class in sympy.codegen.ast) stringify_expr() (in module sympy.parsing.sympy_parser) stringPict (class in sympy.printing.pretty.stringpict) strip_zero() (sympy.polys.rings.PolyElement method) strlines() (in module sympy.utilities.misc) strong_gens (sympy.combinatorics.perm_groups.PermutationGroup attribute) strong_presentation() (sympy.combinatorics.perm_groups.PermutationGroup method) strongly_connected_components() (in module sympy.utilities.iterables) StrPrinter (class in sympy.printing.str) struct (class in sympy.codegen.cnodes) StudentT() (in module sympy.stats) sturm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub (in module sympy.printing.pretty.pretty_symbology) sub() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) subdiagram_from_objects() (sympy.categories.Diagram method) subfactorial (class in sympy.functions.combinatorial.factorials) subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) subgroup_search() (sympy.combinatorics.perm_groups.PermutationGroup method) SubModule (class in sympy.polys.agca.modules) submodule() (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) SubQuotientModule (class in sympy.polys.agca.modules) subresultants() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Subroutine (class in sympy.codegen.fnodes) SubroutineCall (class in sympy.codegen.fnodes) Subs (class in sympy.core.function) subs() (sympy.core.basic.Basic method) (sympy.matrices.common.MatrixCommon method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) Subset (class in sympy.combinatorics.subsets)

subset (sympy.combinatorics.subsets.Subset attribute) subset() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) subset_from_bitlist() (sympy.combinatorics.subsets.Subset class method) subset_indices() (sympy.combinatorics.subsets.Subset class method) subsets() (in module sympy.utilities.iterables) SubsSet (class in sympy.series.gruntz) substitute_dummies() (in module sympy.physics.secondquant) substitute_indices() (sympy.tensor.tensor.TensAdd method) Sum (class in sympy.concrete.summations) sum_of_four_squares() (in module sympy.solvers.diophantine) sum_of_powers() (in module sympy.solvers.diophantine) sum_of_squares() (in module sympy.solvers.diophantine) sum_of_three_squares() (in module sympy.solvers.diophantine) SumApprox (class in sympy.codegen.approximations) summation() (in module sympy.concrete.summations) sup (in module sympy.printing.pretty.pretty_symbology) (sympy.sets.sets.Set attribute) superposition_basis() (in module sympy.physics.quantum.grover) superset (sympy.combinatorics.subsets.Subset attribute) superset_size (sympy.combinatorics.subsets.Subset attribute) support() (sympy.combinatorics.permutations.Permutation method) SurfaceBaseSeries (class in sympy.plotting.plot) SurfaceOver2DRangeSeries (class in sympy.plotting.plot) SWAP (in module sympy.physics.quantum.gate) swap_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) SwapGate (class in sympy.physics.quantum.gate) swinnerton_dyer_poly() (in module sympy.polys.specialpolys) sylow_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) symarray() (in module sympy.matrices.dense) symb_2txt (in module sympy.printing.pretty.pretty_symbology) Symbol (class in sympy.core.symbol) symbol (sympy.physics.secondquant.AntiSymmetricTensor attribute) Symbol() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) SymbolicSystem (class in sympy.physics.mechanics.system) symbols() (in module sympy.core.symbol) symmetric (sympy.assumptions.ask.AssumptionKeys attribute) symmetric() (sympy.combinatorics.generators method) symmetric_difference() (sympy.sets.sets.Set method) symmetric_poly() (in module sympy.polys.specialpolys) symmetric_residue() (in module sympy.ntheory.modular) SymmetricGroup() (in module sympy.combinatorics.named_groups) symmetrize() (in module sympy.polys.polyfuncs) sympify() (in module sympy.core.sympify) sympy (module) sympy.algebras (module) sympy.assumptions (module) sympy.assumptions.ask (module) sympy.assumptions.assume (module) sympy.assumptions.handlers (module) sympy.assumptions.handlers.calculus (module) sympy.assumptions.handlers.ntheory (module) sympy.assumptions.handlers.order (module) sympy.assumptions.handlers.sets (module) sympy.assumptions.refine (module) sympy.calculus (module) sympy.calculus.euler (module) sympy.calculus.finite_diff (module) sympy.calculus.singularities (module) sympy.categories (module) sympy.categories.diagram_drawing (module) sympy.codegen.algorithms (module) sympy.codegen.approximations (module) sympy.codegen.ast (module) sympy.codegen.cfunctions (module) sympy.codegen.cnodes (module) sympy.codegen.cutils (module) sympy.codegen.cxxnodes (module) sympy.codegen.fnodes (module) sympy.codegen.futils (module) sympy.codegen.pyutils (module) sympy.codegen.rewriting (module) sympy.combinatorics.generators (module) sympy.combinatorics.graycode (module) sympy.combinatorics.group_constructs (module) sympy.combinatorics.named_groups (module) sympy.combinatorics.partitions (module) sympy.combinatorics.perm_groups (module) sympy.combinatorics.permutations (module) sympy.combinatorics.polyhedron (module) sympy.combinatorics.prufer (module) sympy.combinatorics.subsets (module) sympy.combinatorics.tensor_can (module) sympy.combinatorics.testutil (module) sympy.combinatorics.util (module) sympy.core.add (module) sympy.core.assumptions (module) sympy.core.basic (module) sympy.core.cache (module) sympy.core.compatibility (module) sympy.core.containers (module) sympy.core.core (module) sympy.core.evalf (module) sympy.core.expr (module) sympy.core.exprtools (module) sympy.core.function (module) sympy.core.mod (module) sympy.core.mul (module) sympy.core.multidimensional (module) sympy.core.numbers (module) sympy.core.power (module) sympy.core.relational (module) sympy.core.singleton (module) sympy.core.symbol (module) sympy.core.sympify (module) sympy.crypto.crypto (module) sympy.diffgeom (module) sympy.discrete (module) sympy.discrete.convolutions (module) sympy.discrete.transforms (module) sympy.functions (module) sympy.functions.special.bessel (module) sympy.functions.special.beta_functions (module) sympy.functions.special.elliptic_integrals (module) sympy.functions.special.error_functions (module) sympy.functions.special.gamma_functions (module) sympy.functions.special.mathieu_functions (module) sympy.functions.special.polynomials (module) sympy.functions.special.singularity_functions (module) sympy.functions.special.zeta_functions (module) sympy.geometry.curve (module) sympy.geometry.ellipse (module) sympy.geometry.entity (module) sympy.geometry.line (module) sympy.geometry.plane (module) sympy.geometry.point (module) sympy.geometry.polygon (module) sympy.geometry.util (module) sympy.holonomic (module) sympy.holonomic.holonomic (module), [1], [2], [3] sympy.integrals (module) sympy.integrals.intpoly (module) sympy.integrals.meijerint_doc (module) sympy.integrals.transforms (module) sympy.liealgebras (module) sympy.logic (module) sympy.logic.inference (module) sympy.matrices (module) sympy.matrices.common (module) sympy.matrices.expressions (module) sympy.matrices.expressions.blockmatrix (module) sympy.matrices.immutable (module) sympy.matrices.matrices (module) sympy.matrices.sparse (module) sympy.ntheory.continued_fraction (module) sympy.ntheory.egyptian_fraction (module) sympy.ntheory.factor_ (module) sympy.ntheory.generate (module) sympy.ntheory.modular (module) sympy.ntheory.multinomial (module) sympy.ntheory.partitions_ (module) sympy.ntheory.primetest (module) sympy.ntheory.residue_ntheory (module) sympy.physics (module) sympy.physics.continuum_mechanics.beam (module) sympy.physics.hep.gamma_matrices (module) sympy.physics.hydrogen (module) sympy.physics.matrices (module) sympy.physics.mechanics.body (module) sympy.physics.mechanics.kane (module) sympy.physics.mechanics.lagrange (module) sympy.physics.mechanics.linearize (module) sympy.physics.mechanics.particle (module) sympy.physics.mechanics.rigidbody (module) sympy.physics.mechanics.system (module) sympy.physics.optics.gaussopt (module) sympy.physics.optics.medium (module) sympy.physics.optics.utils (module) sympy.physics.optics.waves (module) sympy.physics.paulialgebra (module) sympy.physics.qho_1d (module) sympy.physics.quantum.anticommutator (module) sympy.physics.quantum.cartesian (module) sympy.physics.quantum.cg (module) sympy.physics.quantum.circuitplot (module) sympy.physics.quantum.commutator (module) sympy.physics.quantum.constants (module) sympy.physics.quantum.dagger (module) sympy.physics.quantum.gate (module) sympy.physics.quantum.grover (module) sympy.physics.quantum.hilbert (module) sympy.physics.quantum.innerproduct (module) sympy.physics.quantum.operator (module) sympy.physics.quantum.operatorset (module) sympy.physics.quantum.piab (module) sympy.physics.quantum.qapply (module) sympy.physics.quantum.qft (module) sympy.physics.quantum.qubit (module) sympy.physics.quantum.represent (module) sympy.physics.quantum.shor (module) sympy.physics.quantum.spin (module) sympy.physics.quantum.state (module) sympy.physics.quantum.tensorproduct (module) sympy.physics.secondquant (module) sympy.physics.sho (module) sympy.physics.units.dimensions (module) sympy.physics.units.prefixes (module) sympy.physics.units.quantities (module) sympy.physics.units.unitsystem (module) sympy.physics.units.util (module) sympy.physics.vector.functions (module) sympy.physics.vector.point (module) sympy.physics.wigner (module) sympy.plotting.plot (module) sympy.plotting.pygletplot (module) sympy.printing.ccode (module) sympy.printing.codeprinter (module) sympy.printing.conventions (module) sympy.printing.cxxcode (module) sympy.printing.fcode (module) sympy.printing.gtk (module) sympy.printing.jscode (module) sympy.printing.julia (module) sympy.printing.lambdarepr (module) sympy.printing.latex (module) sympy.printing.mathematica (module) sympy.printing.mathml (module) sympy.printing.octave (module) sympy.printing.precedence (module) sympy.printing.pretty.pretty (module) sympy.printing.pretty.pretty_symbology (module) sympy.printing.pretty.stringpict (module) sympy.printing.preview (module) sympy.printing.printer (module) sympy.printing.pycode (module) sympy.printing.python (module) sympy.printing.rcode (module) sympy.printing.repr (module) sympy.printing.rust (module) sympy.printing.str (module) sympy.printing.theanocode (module) sympy.printing.tree (module) sympy.sets.fancysets (module) sympy.sets.sets (module) sympy.simplify.combsimp (module) sympy.simplify.cse_main (module), [1] sympy.simplify.epathtools (module) sympy.simplify.hyperexpand (module) sympy.simplify.hyperexpand_doc (module) sympy.simplify.powsimp (module) sympy.simplify.radsimp (module) sympy.simplify.ratsimp (module) sympy.simplify.simplify (module) sympy.simplify.sqrtdenest (module) sympy.simplify.traversaltools (module) sympy.simplify.trigsimp (module) sympy.solvers (module) sympy.solvers.inequalities (module) sympy.solvers.ode (module) sympy.solvers.pde (module) sympy.solvers.recurr (module) sympy.solvers.solveset (module) sympy.stats (module) sympy.stats.crv (module) sympy.stats.crv_types (module) sympy.stats.Die() (in module sympy.stats.crv_types) sympy.stats.frv (module) sympy.stats.frv_types (module) sympy.stats.Normal() (in module sympy.stats.crv_types) sympy.stats.rv (module) sympy.tensor (module) sympy.tensor.array (module) sympy.tensor.index_methods (module) sympy.tensor.indexed (module) sympy.tensor.tensor (module) sympy.utilities (module) sympy.utilities.autowrap (module) sympy.utilities.codegen (module) sympy.utilities.decorator (module) sympy.utilities.enumerative (module) sympy.utilities.iterables (module) sympy.utilities.lambdify (module) sympy.utilities.memoization (module) sympy.utilities.misc (module) sympy.utilities.pkgdata (module) sympy.utilities.pytest (module) sympy.utilities.randtest (module) sympy.utilities.runtests (module) sympy.utilities.source (module) sympy.utilities.timeutils (module) SymPyDocTestFinder (class in sympy.utilities.runtests) SymPyDocTestRunner (class in sympy.utilities.runtests) SymPyOutputChecker (class in sympy.utilities.runtests) sympytestfile() (in module sympy.utilities.runtests) SymPyTestResults (in module sympy.utilities.runtests) syzygy_module() (sympy.polys.agca.modules.SubModule method)

T

T (in module sympy.physics.quantum.gate) (sympy.matrices.common.MatrixCommon attribute) (sympy.matrices.expressions.MatrixExpr attribute) t (sympy.physics.quantum.shor.CMod attribute) table() (sympy.matrices.matrices.MatrixBase method) tail_degree() (sympy.polys.rings.PolyElement method) tail_degrees() (sympy.polys.rings.PolyElement method) take() (in module sympy.utilities.iterables) tan (class in sympy.functions.elementary.trigonometric) tangent_lines() (sympy.geometry.ellipse.Ellipse method) tanh (class in sympy.functions.elementary.hyperbolic) targets (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) (sympy.physics.quantum.gate.Gate attribute) (sympy.physics.quantum.gate.UGate attribute) (sympy.physics.quantum.grover.OracleGate attribute) taxicab_distance() (sympy.geometry.point.Point method) taylor_term() (sympy.core.expr.Expr method) TC() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) TensAdd (class in sympy.tensor.tensor) TensExpr (class in sympy.tensor.tensor) TensMul (class in sympy.tensor.tensor) tensor_indices() (in module sympy.tensor.tensor) tensor_mul() (in module sympy.tensor.tensor) tensor_product_simp() (in module sympy.physics.quantum.tensorproduct) tensorcontraction() (in module sympy.tensor.array) TensorHead (class in sympy.tensor.tensor) TensorIndex (class in sympy.tensor.tensor) TensorIndexType (class in sympy.tensor.tensor) TensorProduct (class in sympy.diffgeom) (class in sympy.physics.quantum.tensorproduct) tensorproduct() (in module sympy.tensor.array) TensorSymmetry (class in sympy.tensor.tensor) tensorsymmetry() (in module sympy.tensor.tensor) TensorType (class in sympy.tensor.tensor) terminal_width() (sympy.printing.pretty.stringpict.stringPict method) terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) terms_gcd() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) termwise() (sympy.polys.polytools.Poly method) test() (in module sympy.utilities.runtests) test_derivative_numerically() (in module sympy.utilities.randtest) TGate (class in sympy.physics.quantum.gate) theano_code() (in module sympy.printing.theanocode) theano_function() (in module sympy.printing.theanocode) TheanoPrinter (class in sympy.printing.theanocode) ThinLens (class in sympy.physics.optics.gaussopt) threaded() (in module sympy.utilities.decorator) threaded_factory() (in module sympy.utilities.decorator) time (sympy.physics.quantum.state.TimeDepState attribute) time_derivative() (in module sympy.physics.vector.functions) time_period (sympy.physics.optics.waves.TWave attribute) timed() (in module sympy.utilities.timeutils) TimeDepBra (class in sympy.physics.quantum.state) TimeDepKet (class in sympy.physics.quantum.state) TimeDepState (class in sympy.physics.quantum.state) tiny (sympy.codegen.ast.FloatType attribute) to_algebraic_integer() (sympy.polys.numberfields.AlgebraicNumber method) to_axis_angle() (sympy.algebras.Quaternion method) to_cnf() (in module sympy.logic.boolalg) to_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_dnf() (in module sympy.logic.boolalg) to_exact() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_expr() (sympy.holonomic.holonomic.HolonomicFunction method) to_field() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_hyper() (sympy.holonomic.holonomic.HolonomicFunction method) to_linearizer() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) to_list() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_matrix() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) to_meijerg() (sympy.holonomic.holonomic.HolonomicFunction method)

to_number_field() (in module sympy.polys.numberfields) to_prufer() (sympy.combinatorics.prufer.Prufer static method) to_rational() (sympy.polys.domains.RealField method) to_ring() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_rotation_matrix() (sympy.algebras.Quaternion method) to_sequence() (sympy.holonomic.holonomic.HolonomicFunction method) to_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) to_sympy_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_sympy_list() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_tree() (sympy.combinatorics.prufer.Prufer static method) to_tuple() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) together() (in module sympy.polys.rationaltools) (sympy.core.expr.Expr method) Token (class in sympy.codegen.ast) tolist() (sympy.matrices.common.MatrixCommon method) topological_sort() (in module sympy.utilities.iterables) (sympy.codegen.ast.CodeBlock class method) torsional_moment() (sympy.physics.continuum_mechanics.beam.Beam3D method) total_degree() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) totient (class in sympy.ntheory.factor_) totientrange() (sympy.ntheory.generate.Sieve method) Trace (class in sympy.matrices.expressions) trace() (sympy.matrices.common.MatrixCommon method) trailing() (in module sympy.ntheory.factor_) transcendental (sympy.assumptions.ask.AssumptionKeys attribute) transform() (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.integrals.Integral method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) transformation_to_DN() (in module sympy.solvers.diophantine) transitivity_degree (sympy.combinatorics.perm_groups.PermutationGroup attribute) translate() (in module sympy.utilities.misc) (sympy.geometry.curve.Curve method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) Transpose (class in sympy.matrices.expressions) transpose() (sympy.matrices.common.MatrixCommon method) (sympy.matrices.expressions.blockmatrix.BlockMatrix method) transpositions() (sympy.combinatorics.permutations.Permutation method) transverse_magnification() (in module sympy.physics.optics.utils) tree() (in module sympy.printing.tree) tree_cse() (in module sympy.simplify.cse_main) tree_repr (sympy.combinatorics.prufer.Prufer attribute) Triangle (class in sympy.geometry.polygon) triangular (sympy.assumptions.ask.AssumptionKeys attribute) Triangular() (in module sympy.stats) tribonacci (class in sympy.functions.combinatorial.numbers) TribonacciConstant (class in sympy.core.numbers) trigamma() (in module sympy.functions.special.gamma_functions) trigsimp() (in module sympy.simplify.trigsimp) (sympy.core.expr.Expr method) trunc() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) truncate() (sympy.series.formal.FormalPowerSeries method) (sympy.series.fourier.FourierSeries method) Tuple (class in sympy.core.containers) tuple_count() (sympy.core.containers.Tuple method) TWave (class in sympy.physics.optics.waves) two_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) twoform_to_matrix() (in module sympy.diffgeom) TwoQubitGate (class in sympy.physics.quantum.gate) Type (class in sympy.codegen.ast) TypeA (class in sympy.liealgebras.type_a) TypeB (class in sympy.liealgebras.type_b) TypeC (class in sympy.liealgebras.type_c) TypeD (class in sympy.liealgebras.type_d) TypeE (class in sympy.liealgebras.type_e) TypeF (class in sympy.liealgebras.type_f) TypeG (class in sympy.liealgebras.type_g)

U

U() (in module sympy.printing.pretty.pretty_symbology) udivisor_count() (in module sympy.ntheory.factor_) udivisor_sigma (class in sympy.ntheory.factor_) udivisors() (in module sympy.ntheory.factor_) ufuncify() (in module sympy.utilities.autowrap) UfuncifyCodeWrapper (class in sympy.utilities.autowrap) UGate (class in sympy.physics.quantum.gate) uncouple() (in module sympy.physics.quantum.spin) Unequality (class in sympy.core.relational) UnevaluatedExpr (class in sympy.core.expr) unflatten() (in module sympy.utilities.iterables) UnificationFailed (class in sympy.polys.polyerrors) Uniform() (in module sympy.stats) UniformSum() (in module sympy.stats) unify() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) union (class in sympy.codegen.cnodes) Union (class in sympy.sets.sets) union() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.series.gruntz.SubsSet method) (sympy.sets.sets.Set method) uniq() (in module sympy.utilities.iterables)

unit (sympy.geometry.point.Point attribute) (sympy.polys.polytools.Poly attribute) unit_triangular (sympy.assumptions.ask.AssumptionKeys attribute) unitary (sympy.assumptions.ask.AssumptionKeys attribute) UnitaryOperator (class in sympy.physics.quantum.operator) UnitSystem (class in sympy.physics.units.unitsystem) UnivariatePolynomialError (class in sympy.polys.polyerrors) UniversalSet (class in sympy.sets.sets) unrank() (sympy.combinatorics.graycode.GrayCode class method) (sympy.combinatorics.prufer.Prufer class method) unrank_binary() (sympy.combinatorics.subsets.Subset class method) unrank_gray() (sympy.combinatorics.subsets.Subset class method) unrank_lex() (sympy.combinatorics.permutations.Permutation class method) unrank_nonlex() (sympy.combinatorics.permutations.Permutation class method) unrank_trotterjohnson() (sympy.combinatorics.permutations.Permutation class method) UnsignedIntType (class in sympy.codegen.ast) update() (sympy.physics.quantum.circuitplot.CircuitPlot method) upper (sympy.physics.secondquant.AntiSymmetricTensor attribute) (sympy.tensor.indexed.Idx attribute) upper_triangular (sympy.assumptions.ask.AssumptionKeys attribute) upper_triangular_solve() (sympy.matrices.matrices.MatrixBase method) uppergamma (class in sympy.functions.special.gamma_functions) use (class in sympy.codegen.fnodes) use() (in module sympy.simplify.traversaltools) use_rename (class in sympy.codegen.fnodes) using (class in sympy.codegen.cxxnodes)

V

v1pt_theory() (sympy.physics.vector.point.Point method) v2pt_theory() (sympy.physics.vector.point.Point method) values() (sympy.core.containers.Dict method) (sympy.matrices.common.MatrixCommon method) var() (in module sympy.core.symbol) VarBosonicBasis (class in sympy.physics.secondquant) Variable (class in sympy.codegen.ast) variable (sympy.physics.continuum_mechanics.beam.Beam attribute) variable_map() (sympy.physics.vector.frame.ReferenceFrame method) variables (sympy.core.function.Lambda attribute) (sympy.core.function.Subs attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.physics.quantum.state.Wavefunction attribute) (sympy.series.sequences.SeqBase attribute) (sympy.utilities.codegen.Routine attribute) Variance (class in sympy.stats) variance() (in module sympy.stats) variations() (in module sympy.utilities.iterables) vec() (sympy.matrices.common.MatrixCommon method) vech() (sympy.matrices.matrices.MatrixBase method)

Vector (class in sympy.physics.vector.vector) (class in sympy.vector.vector) vectorize (class in sympy.core.multidimensional) vectors_in_basis() (in module sympy.diffgeom) vel() (sympy.physics.vector.point.Point method) verify_numerically() (in module sympy.utilities.randtest) vertices (sympy.combinatorics.polyhedron.Polyhedron attribute) (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) VF() (in module sympy.printing.pretty.pretty_symbology) viete() (in module sympy.polys.polyfuncs) vlatex() (in module sympy.physics.vector.printing) vobj() (in module sympy.printing.pretty.pretty_symbology) VonMises() (in module sympy.stats) vpprint() (in module sympy.physics.vector.printing) vprint() (in module sympy.physics.vector.printing) vradius (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.ellipse.Ellipse attribute) vring() (in module sympy.polys.rings) vstack() (sympy.matrices.common.MatrixCommon class method)

W

w (sympy.physics.optics.gaussopt.BeamParameter attribute) w_0 (sympy.physics.optics.gaussopt.BeamParameter attribute) waist2rayleigh() (in module sympy.physics.optics.gaussopt) waist_approximation_limit (sympy.physics.optics.gaussopt.BeamParameter attribute) warns() (in module sympy.utilities.pytest) warns_deprecated_sympy() (in module sympy.utilities.pytest) Wavefunction (class in sympy.physics.quantum.state) wavelength (sympy.physics.optics.waves.TWave attribute) wavenumber (sympy.physics.optics.waves.TWave attribute) WedgeProduct (class in sympy.diffgeom) Weibull() (in module sympy.stats) WeylGroup (class in sympy.liealgebras.weyl_group) WGate (class in sympy.physics.quantum.grover) where() (in module sympy.stats) While (class in sympy.codegen.ast)

wicks() (in module sympy.physics.secondquant) width (sympy.categories.diagram_drawing.DiagramGrid attribute) width() (sympy.printing.pretty.stringpict.stringPict method) Wigner3j (class in sympy.physics.quantum.cg) Wigner6j (class in sympy.physics.quantum.cg) Wigner9j (class in sympy.physics.quantum.cg) wigner_3j() (in module sympy.physics.wigner) wigner_6j() (in module sympy.physics.wigner) wigner_9j() (in module sympy.physics.wigner) WignerD (class in sympy.physics.quantum.spin) WignerSemicircle() (in module sympy.stats) Wild (class in sympy.core.symbol) WildFunction (class in sympy.core.function) write() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.runtests.PyTestReporter method) wronskian() (in module sympy.matrices.dense)

X

X (in module sympy.physics.quantum.gate) x (sympy.geometry.point.Point2D attribute) (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) XBra (class in sympy.physics.quantum.cartesian) xdirection (sympy.geometry.line.Ray2D attribute) (sympy.geometry.line.Ray3D attribute) XGate (class in sympy.physics.quantum.gate) XKet (class in sympy.physics.quantum.cartesian) xobj() (in module sympy.printing.pretty.pretty_symbology)

XOp (class in sympy.physics.quantum.cartesian) Xor (class in sympy.logic.boolalg) xreplace() (sympy.core.basic.Basic method) (sympy.matrices.common.MatrixCommon method) xring() (in module sympy.polys.rings) xstr() (in module sympy.printing.pretty.pretty_symbology) xsym() (in module sympy.printing.pretty.pretty_symbology) xthreaded() (in module sympy.utilities.decorator) xypic_draw_diagram() (in module sympy.categories.diagram_drawing) XypicDiagramDrawer (class in sympy.categories.diagram_drawing)

Y

Y (in module sympy.physics.quantum.gate) y (sympy.geometry.point.Point2D attribute) (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) ydirection (sympy.geometry.line.Ray2D attribute) (sympy.geometry.line.Ray3D attribute)

YGate (class in sympy.physics.quantum.gate) yn (class in sympy.functions.special.bessel) Ynm (class in sympy.functions.special.spherical_harmonics) Ynm_c() (in module sympy.functions.special.spherical_harmonics) YOp (class in sympy.physics.quantum.cartesian) YuleSimon() (in module sympy.stats)

Z

Z (in module sympy.physics.quantum.gate) z (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) zdirection (sympy.geometry.line.Ray3D attribute) zero Zero (class in sympy.core.numbers) zero (sympy.assumptions.ask.AssumptionKeys attribute) (sympy.polys.polytools.Poly attribute) ZeroMatrix (class in sympy.matrices.expressions)

zeros() (in module sympy.matrices.dense) (sympy.matrices.common.MatrixCommon class method) zeta (class in sympy.functions.special.zeta_functions) Zeta() (in module sympy.stats) ZGate (class in sympy.physics.quantum.gate) zip_row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) Znm (class in sympy.functions.special.spherical_harmonics) ZOp (class in sympy.physics.quantum.cartesian)