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Sage 9.6 Documentation
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Reference Manual
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Symbolic Calculus
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Index
Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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L
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M
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N
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O
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P
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R
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S
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T
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U
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V
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W
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Z
A
abs() (sage.symbolic.expression.Expression method)
add() (sage.symbolic.expression.Expression method)
add_to_both_sides() (sage.symbolic.expression.Expression method)
add_vararg() (in module sage.symbolic.operators)
algebraic() (in module sage.symbolic.expression_conversions)
AlgebraicConverter (class in sage.symbolic.expression_conversions)
analytic_boundary() (in module sage.calculus.riemann)
analytic_interior() (in module sage.calculus.riemann)
append() (sage.calculus.interpolation.Spline method)
apply_to() (sage.symbolic.expression.SubstitutionMap method)
arccos() (sage.symbolic.expression.Expression method)
arccosh() (sage.symbolic.expression.Expression method)
arcsin() (sage.symbolic.expression.Expression method)
arcsinh() (sage.symbolic.expression.Expression method)
arctan() (sage.symbolic.expression.Expression method)
arctan2() (sage.symbolic.expression.Expression method)
arctanh() (sage.symbolic.expression.Expression method)
args() (sage.symbolic.callable.CallableSymbolicExpressionRing_class method)
(sage.symbolic.expression.Expression method)
arguments() (sage.symbolic.callable.CallableSymbolicExpressionFunctor method)
(sage.symbolic.callable.CallableSymbolicExpressionRing_class method)
(sage.symbolic.expression.Expression method)
arithmetic() (sage.symbolic.expression_conversions.AlgebraicConverter method)
(sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.PolynomialConverter method)
(sage.symbolic.expression_conversions.RingConverter method)
(sage.symbolic.expression_conversions.SympyConverter method)
assert_strict_weak_order() (in module sage.symbolic.random_tests)
assume() (in module sage.symbolic.assumptions)
(sage.symbolic.assumptions.GenericDeclaration method)
(sage.symbolic.expression.Expression method)
assuming (class in sage.symbolic.assumptions)
assumptions() (in module sage.symbolic.assumptions)
at() (in module sage.calculus.calculus)
B
backward_transform() (sage.calculus.transforms.dwt.DiscreteWaveletTransform method)
(sage.calculus.transforms.fft.FastFourierTransform_complex method)
base_ring() (sage.calculus.transforms.dft.IndexedSequence method)
base_units() (in module sage.symbolic.units)
binomial() (sage.symbolic.expression.Expression method)
BuiltinFunction (class in sage.symbolic.function)
C
call_registered_function() (in module sage.symbolic.expression)
CallableSymbolicExpressionFunctor (class in sage.symbolic.callable)
CallableSymbolicExpressionRing_class (class in sage.symbolic.callable)
CallableSymbolicExpressionRingFactory (class in sage.symbolic.callable)
canonicalize_radical() (sage.symbolic.expression.Expression method)
cauchy_kernel() (in module sage.calculus.riemann)
CCSpline (class in sage.calculus.interpolators)
change_function() (sage.symbolic.operators.FDerivativeOperator method)
characteristic() (sage.symbolic.ring.SymbolicRing method)
choose_from_prob_list() (in module sage.symbolic.random_tests)
cleanup_var() (sage.symbolic.ring.SymbolicRing method)
clear_vars() (in module sage.calculus.var)
coefficient() (sage.symbolic.expression.Expression method)
coefficients() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression.SymbolicSeries method)
collect() (sage.symbolic.expression.Expression method)
collect_common_factors() (sage.symbolic.expression.Expression method)
combine() (sage.symbolic.expression.Expression method)
compiled_integrand (class in sage.calculus.integration)
complex_cubic_spline() (in module sage.calculus.interpolators)
complex_to_rgb() (in module sage.calculus.riemann)
complex_to_spiderweb() (in module sage.calculus.riemann)
composition() (sage.symbolic.expression_conversions.AlgebraicConverter method)
(sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.DeMoivre method)
(sage.symbolic.expression_conversions.Exponentialize method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.HoldRemover method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.PolynomialConverter method)
(sage.symbolic.expression_conversions.RingConverter method)
(sage.symbolic.expression_conversions.SubstituteFunction method)
(sage.symbolic.expression_conversions.SympyConverter method)
compute_on_grid() (sage.calculus.riemann.Riemann_Map method)
conjugate() (sage.symbolic.expression.Expression method)
construction() (sage.symbolic.callable.CallableSymbolicExpressionRing_class method)
(sage.symbolic.subring.SymbolicSubringAcceptingVars method)
(sage.symbolic.subring.SymbolicSubringRejectingVars method)
content() (sage.symbolic.expression.Expression method)
contradicts() (sage.symbolic.assumptions.GenericDeclaration method)
(sage.symbolic.expression.Expression method)
convert() (in module sage.symbolic.units)
(sage.symbolic.expression.Expression method)
convert_temperature() (in module sage.symbolic.units)
Converter (class in sage.symbolic.expression_conversions)
convolution() (sage.calculus.transforms.dft.IndexedSequence method)
convolution_periodic() (sage.calculus.transforms.dft.IndexedSequence method)
cos() (sage.symbolic.expression.Expression method)
cosh() (sage.symbolic.expression.Expression method)
create_key() (sage.symbolic.callable.CallableSymbolicExpressionRingFactory method)
create_key_and_extra_args() (sage.symbolic.subring.SymbolicSubringFactory method)
create_object() (sage.symbolic.callable.CallableSymbolicExpressionRingFactory method)
(sage.symbolic.subring.SymbolicSubringFactory method)
csgn() (sage.symbolic.expression.Expression method)
D
dct() (sage.calculus.transforms.dft.IndexedSequence method)
decl_assume() (sage.symbolic.expression.Expression method)
decl_forget() (sage.symbolic.expression.Expression method)
default_variable() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression.SymbolicSeries method)
(sage.symbolic.function.Function method)
definite_integral() (sage.calculus.interpolation.Spline method)
DefiniteIntegral (class in sage.symbolic.integration.integral)
degree() (sage.symbolic.expression.Expression method)
DeMoivre (class in sage.symbolic.expression_conversions)
demoivre() (sage.symbolic.expression.Expression method)
denominator() (sage.symbolic.expression.Expression method)
derivative() (in module sage.calculus.functional)
(sage.calculus.interpolation.Spline method)
(sage.calculus.interpolators.CCSpline method)
(sage.calculus.interpolators.PSpline method)
(sage.symbolic.expression.Expression method)
(sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FriCASConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.SubstituteFunction method)
(sage.symbolic.expression_conversions.SympyConverter method)
desolve() (in module sage.calculus.desolvers)
desolve_laplace() (in module sage.calculus.desolvers)
desolve_mintides() (in module sage.calculus.desolvers)
desolve_odeint() (in module sage.calculus.desolvers)
desolve_rk4() (in module sage.calculus.desolvers)
desolve_rk4_determine_bounds() (in module sage.calculus.desolvers)
desolve_system() (in module sage.calculus.desolvers)
desolve_system_rk4() (in module sage.calculus.desolvers)
desolve_tides_mpfr() (in module sage.calculus.desolvers)
dft() (sage.calculus.transforms.dft.IndexedSequence method)
dict() (sage.calculus.transforms.dft.IndexedSequence method)
diff() (in module sage.calculus.functional)
(sage.symbolic.expression.Expression method)
differentiate() (sage.symbolic.expression.Expression method)
DiscreteWaveletTransform (class in sage.calculus.transforms.dwt)
distribute() (sage.symbolic.expression.Expression method)
divide_both_sides() (sage.symbolic.expression.Expression method)
doublefactorial() (in module sage.symbolic.expression)
dst() (sage.calculus.transforms.dft.IndexedSequence method)
dummy_diff() (in module sage.calculus.calculus)
dummy_integrate() (in module sage.calculus.calculus)
dummy_inverse_laplace() (in module sage.calculus.calculus)
dummy_laplace() (in module sage.calculus.calculus)
dummy_pochhammer() (in module sage.calculus.calculus)
DWT() (in module sage.calculus.transforms.dwt)
dwt() (sage.calculus.transforms.dft.IndexedSequence method)
E
E (class in sage.symbolic.expression)
eulers_method() (in module sage.calculus.desolvers)
eulers_method_2x2() (in module sage.calculus.desolvers)
eulers_method_2x2_plot() (in module sage.calculus.desolvers)
evalunitdict() (in module sage.symbolic.units)
exp() (sage.symbolic.expression.Expression method)
expand() (in module sage.calculus.functional)
(sage.symbolic.expression.Expression method)
expand_log() (sage.symbolic.expression.Expression method)
expand_rational() (sage.symbolic.expression.Expression method)
expand_sum() (sage.symbolic.expression.Expression method)
expand_trig() (sage.symbolic.expression.Expression method)
Exponentialize (class in sage.symbolic.expression_conversions)
exponentialize() (sage.symbolic.expression.Expression method)
Expression (class in sage.symbolic.expression)
expression() (sage.symbolic.expression.PynacConstant method)
ExpressionIterator (class in sage.symbolic.expression)
ExpressionTreeWalker (class in sage.symbolic.expression_conversions)
F
factor() (sage.symbolic.expression.Expression method)
factor_list() (sage.symbolic.expression.Expression method)
factorial() (sage.symbolic.expression.Expression method)
factorial_simplify() (sage.symbolic.expression.Expression method)
FakeExpression (class in sage.symbolic.expression_conversions)
fast_callable() (in module sage.symbolic.expression_conversions)
FastCallableConverter (class in sage.symbolic.expression_conversions)
FastFourierTransform() (in module sage.calculus.transforms.fft)
FastFourierTransform_base (class in sage.calculus.transforms.fft)
FastFourierTransform_complex (class in sage.calculus.transforms.fft)
FDerivativeOperator (class in sage.symbolic.operators)
FFT() (in module sage.calculus.transforms.fft)
fft() (sage.calculus.transforms.dft.IndexedSequence method)
find() (sage.symbolic.expression.Expression method)
find_local_maximum() (sage.symbolic.expression.Expression method)
find_local_minimum() (sage.symbolic.expression.Expression method)
find_registered_function() (in module sage.symbolic.expression)
find_root() (sage.symbolic.expression.Expression method)
forget() (in module sage.symbolic.assumptions)
(sage.symbolic.assumptions.GenericDeclaration method)
(sage.symbolic.expression.Expression method)
forward_transform() (sage.calculus.transforms.dwt.DiscreteWaveletTransform method)
(sage.calculus.transforms.fft.FastFourierTransform_complex method)
FourierTransform_complex (class in sage.calculus.transforms.fft)
FourierTransform_real (class in sage.calculus.transforms.fft)
fraction() (sage.symbolic.expression.Expression method)
free_variables() (sage.symbolic.expression.Expression method)
fricas_desolve() (in module sage.calculus.desolvers)
fricas_desolve_system() (in module sage.calculus.desolvers)
fricas_integrator() (in module sage.symbolic.integration.external)
FriCASConverter (class in sage.symbolic.expression_conversions)
full_simplify() (sage.symbolic.expression.Expression method)
Function (class in sage.symbolic.function)
function() (in module sage.calculus.var)
(in module sage.symbolic.function_factory)
(sage.symbolic.expression.Expression method)
(sage.symbolic.expression_conversions.Exponentialize method)
(sage.symbolic.operators.FDerivativeOperator method)
function_factory() (in module sage.symbolic.function_factory)
G
gamma() (sage.symbolic.expression.Expression method)
gamma_normalize() (sage.symbolic.expression.Expression method)
gcd() (sage.symbolic.expression.Expression method)
GenericDeclaration (class in sage.symbolic.assumptions)
GenericSymbolicSubring (class in sage.symbolic.subring)
GenericSymbolicSubringFunctor (class in sage.symbolic.subring)
get_derivatives() (in module sage.calculus.riemann)
get_fake_div() (sage.symbolic.expression_conversions.Converter method)
get_fn_serial() (in module sage.symbolic.expression)
get_ginac_serial() (in module sage.symbolic.expression)
get_sfunction_from_hash() (in module sage.symbolic.expression)
get_sfunction_from_serial() (in module sage.symbolic.expression)
get_szego() (sage.calculus.riemann.Riemann_Map method)
get_theta_points() (sage.calculus.riemann.Riemann_Map method)
giac_integrator() (in module sage.symbolic.integration.external)
GinacFunction (class in sage.symbolic.function)
gosper_sum() (sage.symbolic.expression.Expression method)
gosper_term() (sage.symbolic.expression.Expression method)
gradient() (sage.symbolic.expression.Expression method)
H
has() (sage.symbolic.assumptions.GenericDeclaration method)
(sage.symbolic.expression.Expression method)
has_valid_variable() (sage.symbolic.subring.GenericSymbolicSubring method)
(sage.symbolic.subring.SymbolicConstantsSubring method)
(sage.symbolic.subring.SymbolicSubringAcceptingVars method)
(sage.symbolic.subring.SymbolicSubringRejectingVars method)
has_wild() (sage.symbolic.expression.Expression method)
hessian() (sage.symbolic.expression.Expression method)
hold_class (class in sage.symbolic.expression)
HoldRemover (class in sage.symbolic.expression_conversions)
horner() (sage.symbolic.expression.Expression method)
hypergeometric_simplify() (sage.symbolic.expression.Expression method)
I
I() (sage.symbolic.ring.SymbolicRing method)
idft() (sage.calculus.transforms.dft.IndexedSequence method)
idwt() (sage.calculus.transforms.dft.IndexedSequence method)
ifft() (sage.calculus.transforms.dft.IndexedSequence method)
imag() (sage.symbolic.expression.Expression method)
imag_part() (sage.symbolic.expression.Expression method)
implicit_derivative() (sage.symbolic.expression.Expression method)
IndefiniteIntegral (class in sage.symbolic.integration.integral)
index_object() (sage.calculus.transforms.dft.IndexedSequence method)
IndexedSequence (class in sage.calculus.transforms.dft)
init_function_table() (in module sage.symbolic.expression)
init_pynac_I() (in module sage.symbolic.expression)
Integer (sage.symbolic.expression_conversions.Exponentialize attribute)
integral() (in module sage.calculus.functional)
(in module sage.symbolic.integration.integral)
(sage.symbolic.expression.Expression method)
integrate() (in module sage.calculus.functional)
(in module sage.symbolic.integration.integral)
(sage.symbolic.expression.Expression method)
InterfaceInit (class in sage.symbolic.expression_conversions)
interpolate_solution() (sage.calculus.ode.ode_solver method)
inverse_laplace() (in module sage.calculus.calculus)
(sage.symbolic.expression.Expression method)
inverse_riemann_map() (sage.calculus.riemann.Riemann_Map method)
inverse_transform() (sage.calculus.transforms.fft.FastFourierTransform_complex method)
is2pow() (in module sage.calculus.transforms.dwt)
is_algebraic() (sage.symbolic.expression.Expression method)
is_callable() (sage.symbolic.expression.Expression method)
is_CallableSymbolicExpression() (in module sage.symbolic.callable)
is_CallableSymbolicExpressionRing() (in module sage.symbolic.callable)
is_constant() (sage.symbolic.expression.Expression method)
is_exact() (sage.symbolic.expression.Expression method)
(sage.symbolic.ring.SymbolicRing method)
is_Expression() (in module sage.symbolic.expression)
is_field() (sage.symbolic.ring.SymbolicRing method)
is_finite() (sage.symbolic.ring.SymbolicRing method)
is_infinity() (sage.symbolic.expression.Expression method)
is_integer() (sage.symbolic.expression.Expression method)
is_negative() (sage.symbolic.expression.Expression method)
is_negative_infinity() (sage.symbolic.expression.Expression method)
is_numeric() (sage.symbolic.expression.Expression method)
is_polynomial() (sage.symbolic.expression.Expression method)
is_positive() (sage.symbolic.expression.Expression method)
is_positive_infinity() (sage.symbolic.expression.Expression method)
is_rational_expression() (sage.symbolic.expression.Expression method)
is_real() (sage.symbolic.expression.Expression method)
is_relational() (sage.symbolic.expression.Expression method)
is_square() (sage.symbolic.expression.Expression method)
is_symbol() (sage.symbolic.expression.Expression method)
is_SymbolicEquation() (in module sage.symbolic.expression)
is_SymbolicExpressionRing() (in module sage.symbolic.ring)
is_terminating_series() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression.SymbolicSeries method)
is_trivial_zero() (sage.symbolic.expression.Expression method)
is_trivially_equal() (sage.symbolic.expression.Expression method)
is_unit() (in module sage.symbolic.units)
(sage.symbolic.expression.Expression method)
isidentifier() (in module sage.symbolic.ring)
iterator() (sage.symbolic.expression.Expression method)
J
jacobian() (in module sage.calculus.functions)
L
laplace() (in module sage.calculus.calculus)
(sage.symbolic.expression.Expression method)
laurent_polynomial() (in module sage.symbolic.expression_conversions)
(sage.symbolic.expression.Expression method)
LaurentPolynomialConverter (class in sage.symbolic.expression_conversions)
lcm() (sage.symbolic.expression.Expression method)
leading_coeff() (sage.symbolic.expression.Expression method)
leading_coefficient() (sage.symbolic.expression.Expression method)
left() (sage.symbolic.expression.Expression method)
left_hand_side() (sage.symbolic.expression.Expression method)
lhs() (sage.symbolic.expression.Expression method)
libgiac_integrator() (in module sage.symbolic.integration.external)
lim() (in module sage.calculus.calculus)
(in module sage.calculus.functional)
limit() (in module sage.calculus.calculus)
(in module sage.calculus.functional)
(sage.symbolic.expression.Expression method)
list() (sage.calculus.interpolation.Spline method)
(sage.calculus.transforms.dft.IndexedSequence method)
(sage.symbolic.expression.Expression method)
log() (sage.symbolic.expression.Expression method)
log_expand() (sage.symbolic.expression.Expression method)
log_gamma() (sage.symbolic.expression.Expression method)
log_simplify() (sage.symbolic.expression.Expression method)
low_degree() (sage.symbolic.expression.Expression method)
M
make_map() (in module sage.symbolic.expression)
mapped_opts() (in module sage.calculus.calculus)
match() (sage.symbolic.expression.Expression method)
math_sorted() (in module sage.symbolic.expression)
maxima_integrator() (in module sage.symbolic.integration.external)
maxima_methods() (sage.symbolic.expression.Expression method)
maxima_options() (in module sage.calculus.calculus)
MaximaFunctionElementWrapper (class in sage.symbolic.maxima_wrapper)
MaximaWrapper (class in sage.symbolic.maxima_wrapper)
merge() (sage.symbolic.callable.CallableSymbolicExpressionFunctor method)
(sage.symbolic.subring.GenericSymbolicSubringFunctor method)
(sage.symbolic.subring.SymbolicSubringAcceptingVarsFunctor method)
(sage.symbolic.subring.SymbolicSubringRejectingVarsFunctor method)
minpoly() (in module sage.calculus.calculus)
(sage.symbolic.expression.Expression method)
mixed_order() (in module sage.symbolic.expression)
mixed_sorted() (in module sage.symbolic.expression)
mma_free_integrator() (in module sage.symbolic.integration.external)
mma_free_limit() (in module sage.calculus.calculus)
module
sage.calculus.calculus
sage.calculus.desolvers
sage.calculus.functional
sage.calculus.functions
sage.calculus.integration
sage.calculus.interpolation
sage.calculus.interpolators
sage.calculus.ode
sage.calculus.riemann
sage.calculus.test_sympy
sage.calculus.tests
sage.calculus.transforms.dft
sage.calculus.transforms.dwt
sage.calculus.transforms.fft
sage.calculus.var
sage.calculus.wester
sage.symbolic.assumptions
sage.symbolic.benchmark
sage.symbolic.callable
sage.symbolic.complexity_measures
sage.symbolic.expression
sage.symbolic.expression_conversions
sage.symbolic.function
sage.symbolic.function_factory
sage.symbolic.integration.external
sage.symbolic.integration.integral
sage.symbolic.maxima_wrapper
sage.symbolic.operators
sage.symbolic.random_tests
sage.symbolic.relation
sage.symbolic.ring
sage.symbolic.subring
sage.symbolic.substitution_map
sage.symbolic.units
monte_carlo_integral() (in module sage.calculus.integration)
mul() (sage.symbolic.expression.Expression method)
mul_vararg() (in module sage.symbolic.operators)
multiply_both_sides() (sage.symbolic.expression.Expression method)
N
name() (sage.symbolic.expression.PynacConstant method)
(sage.symbolic.function.Function method)
negation() (sage.symbolic.expression.Expression method)
new_Expression() (in module sage.symbolic.expression)
new_Expression_from_pyobject() (in module sage.symbolic.expression)
new_Expression_symbol() (in module sage.symbolic.expression)
new_Expression_wild() (in module sage.symbolic.expression)
nintegral() (in module sage.calculus.calculus)
(sage.symbolic.expression.Expression method)
nintegrate() (in module sage.calculus.calculus)
(sage.symbolic.expression.Expression method)
nops() (sage.symbolic.expression.Expression method)
norm() (sage.symbolic.expression.Expression method)
normalize() (sage.symbolic.expression.Expression method)
normalize_index_for_doctests() (in module sage.symbolic.expression)
normalize_prob_list() (in module sage.symbolic.random_tests)
number_of_arguments() (sage.symbolic.expression.Expression method)
(sage.symbolic.function.Function method)
number_of_operands() (sage.symbolic.expression.Expression method)
numerator() (sage.symbolic.expression.Expression method)
numerator_denominator() (sage.symbolic.expression.Expression method)
numerical_approx() (sage.symbolic.expression.Expression method)
numerical_integral() (in module sage.calculus.integration)
NumpyToSRMorphism (class in sage.symbolic.ring)
O
ode_solve() (sage.calculus.ode.ode_solver method)
ode_solver (class in sage.calculus.ode)
ode_system (class in sage.calculus.ode)
op (sage.symbolic.expression.Expression attribute)
operands() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression_conversions.FakeExpression method)
OperandsWrapper (class in sage.symbolic.expression)
operator() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression_conversions.FakeExpression method)
Order() (sage.symbolic.expression.Expression method)
P
parameter_set() (sage.symbolic.operators.FDerivativeOperator method)
paramset_from_Expression() (in module sage.symbolic.expression)
partial_fraction() (sage.symbolic.expression.Expression method)
partial_fraction_decomposition() (sage.symbolic.expression.Expression method)
pi() (sage.symbolic.ring.SymbolicRing method)
pickle_wrapper() (in module sage.symbolic.function)
plot() (sage.calculus.transforms.dft.IndexedSequence method)
(sage.calculus.transforms.dwt.DiscreteWaveletTransform method)
(sage.calculus.transforms.fft.FastFourierTransform_complex method)
(sage.symbolic.expression.Expression method)
plot_boundaries() (sage.calculus.riemann.Riemann_Map method)
plot_colored() (sage.calculus.riemann.Riemann_Map method)
plot_histogram() (sage.calculus.transforms.dft.IndexedSequence method)
plot_solution() (sage.calculus.ode.ode_solver method)
plot_spiderweb() (sage.calculus.riemann.Riemann_Map method)
poly() (sage.symbolic.expression.Expression method)
polygon_spline() (in module sage.calculus.interpolators)
polynomial() (in module sage.symbolic.expression_conversions)
(sage.symbolic.expression.Expression method)
PolynomialConverter (class in sage.symbolic.expression_conversions)
power() (sage.symbolic.expression.Expression method)
power_series() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression.SymbolicSeries method)
preprocess_assumptions() (in module sage.symbolic.assumptions)
primitive_part() (sage.symbolic.expression.Expression method)
print_order() (in module sage.symbolic.expression)
print_sorted() (in module sage.symbolic.expression)
prod() (sage.symbolic.expression.Expression method)
PSpline (class in sage.calculus.interpolators)
py_atan2_for_doctests() (in module sage.symbolic.expression)
py_denom_for_doctests() (in module sage.symbolic.expression)
py_eval_infinity_for_doctests() (in module sage.symbolic.expression)
py_eval_neg_infinity_for_doctests() (in module sage.symbolic.expression)
py_eval_unsigned_infinity_for_doctests() (in module sage.symbolic.expression)
py_exp_for_doctests() (in module sage.symbolic.expression)
py_factorial_py() (in module sage.symbolic.expression)
py_float_for_doctests() (in module sage.symbolic.expression)
py_imag_for_doctests() (in module sage.symbolic.expression)
py_is_cinteger_for_doctest() (in module sage.symbolic.expression)
py_is_crational_for_doctest() (in module sage.symbolic.expression)
py_is_integer_for_doctests() (in module sage.symbolic.expression)
py_latex_fderivative_for_doctests() (in module sage.symbolic.expression)
py_latex_function_pystring() (in module sage.symbolic.expression)
py_latex_variable_for_doctests() (in module sage.symbolic.expression)
py_lgamma_for_doctests() (in module sage.symbolic.expression)
py_li2_for_doctests() (in module sage.symbolic.expression)
py_li_for_doctests() (in module sage.symbolic.expression)
py_log_for_doctests() (in module sage.symbolic.expression)
py_mod_for_doctests() (in module sage.symbolic.expression)
py_numer_for_doctests() (in module sage.symbolic.expression)
py_print_fderivative_for_doctests() (in module sage.symbolic.expression)
py_print_function_pystring() (in module sage.symbolic.expression)
py_psi2_for_doctests() (in module sage.symbolic.expression)
py_psi_for_doctests() (in module sage.symbolic.expression)
py_real_for_doctests() (in module sage.symbolic.expression)
py_stieltjes_for_doctests() (in module sage.symbolic.expression)
py_tgamma_for_doctests() (in module sage.symbolic.expression)
py_zeta_for_doctests() (in module sage.symbolic.expression)
PyFunctionWrapper (class in sage.calculus.integration)
(class in sage.calculus.ode)
PynacConstant (class in sage.symbolic.expression)
pyobject() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression_conversions.AlgebraicConverter method)
(sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FakeExpression method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.FriCASConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.PolynomialConverter method)
(sage.symbolic.expression_conversions.RingConverter method)
(sage.symbolic.expression_conversions.SympyConverter method)
R
random_expr() (in module sage.symbolic.random_tests)
random_expr_helper() (in module sage.symbolic.random_tests)
random_integer_vector() (in module sage.symbolic.random_tests)
rational_expand() (sage.symbolic.expression.Expression method)
rational_simplify() (sage.symbolic.expression.Expression method)
real() (sage.symbolic.expression.Expression method)
real_part() (sage.symbolic.expression.Expression method)
rectform() (sage.symbolic.expression.Expression method)
reduce_trig() (sage.symbolic.expression.Expression method)
register_or_update_function() (in module sage.symbolic.expression)
register_symbol() (in module sage.symbolic.expression)
relation() (sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.PolynomialConverter method)
(sage.symbolic.expression_conversions.SympyConverter method)
residue() (sage.symbolic.expression.Expression method)
restore_op_wrapper() (in module sage.symbolic.expression)
resultant() (sage.symbolic.expression.Expression method)
rhs() (sage.symbolic.expression.Expression method)
Riemann_Map (class in sage.calculus.riemann)
riemann_map() (sage.calculus.riemann.Riemann_Map method)
right() (sage.symbolic.expression.Expression method)
right_hand_side() (sage.symbolic.expression.Expression method)
RingConverter (class in sage.symbolic.expression_conversions)
roots() (sage.symbolic.expression.Expression method)
round() (sage.symbolic.expression.Expression method)
S
sage() (sage.symbolic.maxima_wrapper.MaximaWrapper method)
sage.calculus.calculus
module
sage.calculus.desolvers
module
sage.calculus.functional
module
sage.calculus.functions
module
sage.calculus.integration
module
sage.calculus.interpolation
module
sage.calculus.interpolators
module
sage.calculus.ode
module
sage.calculus.riemann
module
sage.calculus.test_sympy
module
sage.calculus.tests
module
sage.calculus.transforms.dft
module
sage.calculus.transforms.dwt
module
sage.calculus.transforms.fft
module
sage.calculus.var
module
sage.calculus.wester
module
sage.symbolic.assumptions
module
sage.symbolic.benchmark
module
sage.symbolic.callable
module
sage.symbolic.complexity_measures
module
sage.symbolic.expression
module
sage.symbolic.expression_conversions
module
sage.symbolic.function
module
sage.symbolic.function_factory
module
sage.symbolic.integration.external
module
sage.symbolic.integration.integral
module
sage.symbolic.maxima_wrapper
module
sage.symbolic.operators
module
sage.symbolic.random_tests
module
sage.symbolic.relation
module
sage.symbolic.ring
module
sage.symbolic.subring
module
sage.symbolic.substitution_map
module
sage.symbolic.units
module
serial() (sage.symbolic.expression.PynacConstant method)
series() (sage.symbolic.expression.Expression method)
show() (sage.symbolic.expression.Expression method)
simplify() (in module sage.calculus.functional)
(sage.symbolic.expression.Expression method)
simplify_factorial() (sage.symbolic.expression.Expression method)
simplify_full() (sage.symbolic.expression.Expression method)
simplify_hypergeometric() (sage.symbolic.expression.Expression method)
simplify_log() (sage.symbolic.expression.Expression method)
simplify_rational() (sage.symbolic.expression.Expression method)
simplify_real() (sage.symbolic.expression.Expression method)
simplify_rectform() (sage.symbolic.expression.Expression method)
simplify_trig() (sage.symbolic.expression.Expression method)
sin() (sage.symbolic.expression.Expression method)
sinh() (sage.symbolic.expression.Expression method)
solve() (in module sage.symbolic.relation)
(sage.symbolic.expression.Expression method)
solve_diophantine() (in module sage.symbolic.expression)
(sage.symbolic.expression.Expression method)
solve_ineq() (in module sage.symbolic.relation)
solve_ineq_fourier() (in module sage.symbolic.relation)
solve_ineq_univar() (in module sage.symbolic.relation)
solve_mod() (in module sage.symbolic.relation)
Spline (class in sage.calculus.interpolation)
spline (in module sage.calculus.interpolation)
sqrt() (sage.symbolic.expression.Expression method)
start() (sage.symbolic.expression.hold_class method)
step() (sage.symbolic.expression.Expression method)
stop() (sage.symbolic.expression.hold_class method)
str_to_unit() (in module sage.symbolic.units)
string_length() (in module sage.symbolic.complexity_measures)
string_to_list_of_solutions() (in module sage.symbolic.relation)
subring() (sage.symbolic.ring.SymbolicRing method)
subs() (sage.symbolic.expression.Expression method)
substitute() (sage.symbolic.expression.Expression method)
substitute_function() (sage.symbolic.expression.Expression method)
SubstituteFunction (class in sage.symbolic.expression_conversions)
substitution_delayed() (sage.symbolic.expression.Expression method)
SubstitutionMap (class in sage.symbolic.expression)
subtract_from_both_sides() (sage.symbolic.expression.Expression method)
sum() (sage.symbolic.expression.Expression method)
symbol() (sage.symbolic.expression_conversions.Converter method)
(sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.FriCASConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.PolynomialConverter method)
(sage.symbolic.expression_conversions.RingConverter method)
(sage.symbolic.expression_conversions.SympyConverter method)
(sage.symbolic.ring.SymbolicRing method)
symbolic_expression_from_maxima_string() (in module sage.calculus.calculus)
symbolic_expression_from_string() (in module sage.calculus.calculus)
symbolic_product() (in module sage.calculus.calculus)
symbolic_sum() (in module sage.calculus.calculus)
SymbolicConstantsSubring (class in sage.symbolic.subring)
SymbolicFunction (class in sage.symbolic.function)
SymbolicRing (class in sage.symbolic.ring)
SymbolicSeries (class in sage.symbolic.expression)
SymbolicSubringAcceptingVars (class in sage.symbolic.subring)
SymbolicSubringAcceptingVarsFunctor (class in sage.symbolic.subring)
SymbolicSubringFactory (class in sage.symbolic.subring)
SymbolicSubringRejectingVars (class in sage.symbolic.subring)
SymbolicSubringRejectingVarsFunctor (class in sage.symbolic.subring)
symbols (sage.symbolic.ring.SymbolicRing attribute)
sympy_integrator() (in module sage.symbolic.integration.external)
SympyConverter (class in sage.symbolic.expression_conversions)
T
tan() (sage.symbolic.expression.Expression method)
tanh() (sage.symbolic.expression.Expression method)
taylor() (in module sage.calculus.functional)
(sage.symbolic.expression.Expression method)
temp_var() (sage.symbolic.ring.SymbolicRing method)
TemporaryVariables (class in sage.symbolic.ring)
test_binomial() (in module sage.symbolic.expression)
test_relation() (sage.symbolic.expression.Expression method)
test_relation_maxima() (in module sage.symbolic.relation)
test_symbolic_expression_order() (in module sage.symbolic.random_tests)
the_SymbolicRing() (in module sage.symbolic.ring)
to_gamma() (sage.symbolic.expression.Expression method)
tolerant_is_symbol() (in module sage.symbolic.expression)
trailing_coeff() (sage.symbolic.expression.Expression method)
trailing_coefficient() (sage.symbolic.expression.Expression method)
trig_expand() (sage.symbolic.expression.Expression method)
trig_reduce() (sage.symbolic.expression.Expression method)
trig_simplify() (sage.symbolic.expression.Expression method)
truncate() (sage.symbolic.expression.Expression method)
(sage.symbolic.expression.SymbolicSeries method)
tuple() (sage.symbolic.expression_conversions.ExpressionTreeWalker method)
(sage.symbolic.expression_conversions.FastCallableConverter method)
(sage.symbolic.expression_conversions.InterfaceInit method)
(sage.symbolic.expression_conversions.SympyConverter method)
U
UnderscoreSageMorphism (class in sage.symbolic.ring)
unhold() (sage.symbolic.expression.Expression method)
unify_arguments() (sage.symbolic.callable.CallableSymbolicExpressionFunctor method)
unit() (sage.symbolic.expression.Expression method)
unit_content_primitive() (sage.symbolic.expression.Expression method)
unit_derivations_expr() (in module sage.symbolic.units)
unitdocs() (in module sage.symbolic.units)
UnitExpression (class in sage.symbolic.units)
Units (class in sage.symbolic.units)
unpack_operands() (in module sage.symbolic.expression)
unpickle_function() (in module sage.symbolic.function_factory)
unpickle_wrapper() (in module sage.symbolic.function)
V
value() (sage.calculus.interpolators.CCSpline method)
(sage.calculus.interpolators.PSpline method)
var() (in module sage.calculus.var)
(in module sage.symbolic.ring)
(sage.symbolic.ring.SymbolicRing method)
variables() (sage.symbolic.expression.Expression method)
(sage.symbolic.function.Function method)
vars_in_str() (in module sage.symbolic.units)
W
WaveletTransform() (in module sage.calculus.transforms.dwt)
wild() (sage.symbolic.ring.SymbolicRing method)
wronskian() (in module sage.calculus.functions)
WZ_certificate() (sage.symbolic.expression.Expression method)
Z
zeta() (sage.symbolic.expression.Expression method)
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