Index A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | Y | Z A above_abs() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) abs() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) abs2() (sage.rings.complex_double.ComplexDoubleElement method) absolute_diameter() (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) absprec() (sage.rings.real_interval_absolute.RealIntervalAbsoluteField_class method) accuracy() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) add_error() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) additive_order() (sage.rings.complex_mpfr.ComplexNumber method) agm() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) agm1() (sage.rings.complex_arb.ComplexBall method) airy() (sage.rings.complex_arb.ComplexBall method) airy_ai() (sage.rings.complex_arb.ComplexBall method) airy_ai_prime() (sage.rings.complex_arb.ComplexBall method) airy_bi() (sage.rings.complex_arb.ComplexBall method) airy_bi_prime() (sage.rings.complex_arb.ComplexBall method) alea() (sage.rings.real_mpfi.RealIntervalFieldElement method) algdep() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) algebraic_closure() (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_lazy.LazyField method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) algebraic_dependency() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) approx() (sage.rings.real_lazy.LazyFieldElement method) (sage.rings.real_lazy.LazyNamedUnop method) arccos() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arccosh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arccot() (sage.rings.complex_double.ComplexDoubleElement method) arccoth() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arccsc() (sage.rings.complex_double.ComplexDoubleElement method) arccsch() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arcsec() (sage.rings.complex_double.ComplexDoubleElement method) arcsech() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arcsin() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arcsinh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arctan() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arctanh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) arg() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) argument() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfi.RealIntervalFieldElement method) as_integer_ratio() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) B barnes_g() (sage.rings.complex_arb.ComplexBall method) base (sage.rings.real_mpfr.RealLiteral attribute) bell_number() (sage.rings.real_arb.RealBallField method) below_abs() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) bernoulli() (sage.rings.real_arb.RealBallField method) bessel_I() (sage.rings.complex_arb.ComplexBall method) bessel_J() (sage.rings.complex_arb.ComplexBall method) bessel_J_Y() (sage.rings.complex_arb.ComplexBall method) bessel_K() (sage.rings.complex_arb.ComplexBall method) bessel_Y() (sage.rings.complex_arb.ComplexBall method) beta() (sage.rings.real_arb.RealBall method) bisection() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) C catalan_constant() (sage.rings.real_arb.RealBallField method) (sage.rings.real_mpfr.RealField_class method) CCtoMPC (class in sage.rings.complex_mpc) ceil() (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) ceiling() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) center() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) characteristic() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) chebyshev_T() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) chebyshev_U() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) Chi() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) Ci() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) cmp_abs() (in module sage.rings.complex_mpfr) complex_field() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) ComplexBall (class in sage.rings.complex_arb) ComplexBallField (class in sage.rings.complex_arb) ComplexDoubleElement (class in sage.rings.complex_double) ComplexDoubleField() (in module sage.rings.complex_double) ComplexDoubleField_class (class in sage.rings.complex_double) ComplexField() (in module sage.rings.complex_mpfr) ComplexField_class (class in sage.rings.complex_mpfr) ComplexIntervalField() (in module sage.rings.complex_interval_field) ComplexIntervalField_class (class in sage.rings.complex_interval_field) ComplexIntervalFieldElement (class in sage.rings.complex_interval) ComplexLazyField() (in module sage.rings.real_lazy) ComplexLazyField_class (class in sage.rings.real_lazy) ComplexNumber (class in sage.rings.complex_mpfr) ComplexToCDF (class in sage.rings.complex_double) conj() (sage.rings.complex_double.ComplexDoubleElement method) conjugate() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) construction() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_lazy.ComplexLazyField_class method) (sage.rings.real_lazy.RealLazyField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) contains_exact() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) contains_integer() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) contains_zero() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) continued_fraction() (sage.rings.real_lazy.LazyFieldElement method) (sage.rings.real_lazy.LazyWrapper method) cos() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) cos_integral() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) cosh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) cosh_integral() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) cospi() (sage.rings.real_arb.RealBallField method) cot() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) coth() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) create_ComplexIntervalFieldElement() (in module sage.rings.complex_interval) create_ComplexNumber() (in module sage.rings.complex_mpfr) create_key() (sage.rings.real_interval_absolute.Factory method) create_object() (sage.rings.real_interval_absolute.Factory method) create_RealBall() (in module sage.rings.real_arb) create_RealNumber() (in module sage.rings.real_mpfr) crosses_log_branch_cut() (sage.rings.complex_interval.ComplexIntervalFieldElement method) csc() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) csch() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) cube() (sage.rings.complex_arb.ComplexBall method) cube_root() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) D depth() (sage.rings.real_lazy.LazyBinop method) (sage.rings.real_lazy.LazyFieldElement method) (sage.rings.real_lazy.LazyUnop method) (sage.rings.real_lazy.LazyWrapper method) diameter() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) dilog() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) double_factorial() (sage.rings.real_arb.RealBallField method) double_toRR (class in sage.rings.real_mpfr) E edges() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) Ei() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) eint() (sage.rings.real_mpfr.RealNumber method) eisenstein() (sage.rings.complex_arb.ComplexBall method) Element (sage.rings.complex_arb.ComplexBallField attribute) (sage.rings.complex_interval_field.ComplexIntervalField_class attribute) (sage.rings.real_arb.RealBallField attribute) (sage.rings.real_lazy.LazyField attribute) (sage.rings.real_mpfi.RealIntervalField_class attribute) elliptic_e() (sage.rings.complex_arb.ComplexBall method) elliptic_e_inc() (sage.rings.complex_arb.ComplexBall method) elliptic_f() (sage.rings.complex_arb.ComplexBall method) elliptic_invariants() (sage.rings.complex_arb.ComplexBall method) elliptic_k() (sage.rings.complex_arb.ComplexBall method) elliptic_p() (sage.rings.complex_arb.ComplexBall method) elliptic_pi() (sage.rings.complex_arb.ComplexBall method) elliptic_pi_inc() (sage.rings.complex_arb.ComplexBall method) elliptic_rf() (sage.rings.complex_arb.ComplexBall method) elliptic_rg() (sage.rings.complex_arb.ComplexBall method) elliptic_rj() (sage.rings.complex_arb.ComplexBall method) elliptic_roots() (sage.rings.complex_arb.ComplexBall method) elliptic_sigma() (sage.rings.complex_arb.ComplexBall method) elliptic_zeta() (sage.rings.complex_arb.ComplexBall method) endpoints() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) epsilon() (sage.rings.real_mpfr.RealNumber method) erf() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfr.RealNumber method) erfc() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_mpfr.RealNumber method) erfi() (sage.rings.real_arb.RealBall method) eta() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) euler_constant() (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) eval() (sage.rings.real_lazy.LazyAlgebraic method) (sage.rings.real_lazy.LazyBinop method) (sage.rings.real_lazy.LazyConstant method) (sage.rings.real_lazy.LazyFieldElement method) (sage.rings.real_lazy.LazyNamedUnop method) (sage.rings.real_lazy.LazyUnop method) (sage.rings.real_lazy.LazyWrapper method) exact_rational() (sage.rings.real_mpfr.RealNumber method) exp() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) exp10() (sage.rings.real_mpfr.RealNumber method) exp2() (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) exp_integral_e() (sage.rings.complex_arb.ComplexBall method) expm1() (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfr.RealNumber method) exppii() (sage.rings.complex_arb.ComplexBall method) F factorial() (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) Factory (class in sage.rings.real_interval_absolute) fibonacci() (sage.rings.real_arb.RealBallField method) FloatToCDF (class in sage.rings.complex_double) floor() (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) fp_rank() (sage.rings.real_mpfr.RealNumber method) fp_rank_delta() (sage.rings.real_mpfr.RealNumber method) fp_rank_diameter() (sage.rings.real_mpfi.RealIntervalFieldElement method) frac() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) G gamma() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) gamma_inc() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) gamma_inc_lower() (sage.rings.real_arb.RealBall method) gegenbauer_C() (sage.rings.complex_arb.ComplexBall method) gen() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_lazy.ComplexLazyField_class method) (sage.rings.real_lazy.RealLazyField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) gens() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) H hermite_H() (sage.rings.complex_arb.ComplexBall method) hex() (sage.rings.real_mpfr.RealNumber method) hypergeometric() (sage.rings.complex_arb.ComplexBall method) hypergeometric_U() (sage.rings.complex_arb.ComplexBall method) I identical() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) imag() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) imag_part() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) int_toRR (class in sage.rings.real_mpfr) integer_part() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) INTEGERtoMPC (class in sage.rings.complex_mpc) integral() (sage.rings.complex_arb.ComplexBallField method) IntegrationContext (class in sage.rings.complex_arb) intersection() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) interval_field() (sage.rings.real_lazy.ComplexLazyField_class method) (sage.rings.real_lazy.LazyField method) (sage.rings.real_lazy.RealLazyField_class method) is_ComplexDoubleElement() (in module sage.rings.complex_double) is_ComplexIntervalFieldElement() (in module sage.rings.complex_interval) is_ComplexNumber() (in module sage.rings.complex_mpfr) is_exact() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBall method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) is_field() (sage.rings.complex_interval_field.ComplexIntervalField_class method) is_finite() (sage.rings.real_arb.RealBall method) is_imaginary() (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) is_infinity() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) is_int() (sage.rings.real_mpfi.RealIntervalFieldElement method) is_integer() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) is_NaN() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) is_negative() (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) is_negative_infinity() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) is_nonzero() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) is_positive() (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) is_positive_infinity() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) is_real() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfr.RealNumber method) is_RealDoubleElement() (in module sage.rings.real_double) is_RealIntervalField() (in module sage.rings.real_mpfi) is_RealIntervalFieldElement() (in module sage.rings.real_mpfi) is_RealNumber() (in module sage.rings.real_mpfr) is_square() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) is_unit() (sage.rings.real_mpfr.RealNumber method) is_zero() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) J j0() (sage.rings.real_mpfr.RealNumber method) j1() (sage.rings.real_mpfr.RealNumber method) jacobi_P() (sage.rings.complex_arb.ComplexBall method) jacobi_theta() (sage.rings.complex_arb.ComplexBall method) jn() (sage.rings.real_mpfr.RealNumber method) L laguerre_L() (sage.rings.complex_arb.ComplexBall method) lambert_w() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) late_import() (in module sage.rings.complex_mpc) (in module sage.rings.complex_mpfr) LazyAlgebraic (class in sage.rings.real_lazy) LazyBinop (class in sage.rings.real_lazy) LazyConstant (class in sage.rings.real_lazy) LazyField (class in sage.rings.real_lazy) LazyFieldElement (class in sage.rings.real_lazy) LazyNamedUnop (class in sage.rings.real_lazy) LazyUnop (class in sage.rings.real_lazy) LazyWrapper (class in sage.rings.real_lazy) LazyWrapperMorphism (class in sage.rings.real_lazy) legendre_P() (sage.rings.complex_arb.ComplexBall method) legendre_Q() (sage.rings.complex_arb.ComplexBall method) lexico_cmp() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) Li() (sage.rings.complex_arb.ComplexBall method) li() (sage.rings.complex_arb.ComplexBall method) Li() (sage.rings.real_arb.RealBall method) li() (sage.rings.real_arb.RealBall method) literal (sage.rings.real_mpfr.RealLiteral attribute) log() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) log10() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) log1p() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfr.RealNumber method) log2() (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) log_b() (sage.rings.complex_double.ComplexDoubleElement method) log_barnes_g() (sage.rings.complex_arb.ComplexBall method) log_gamma() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfr.RealNumber method) log_integral() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) log_integral_offset() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) logabs() (sage.rings.complex_double.ComplexDoubleElement method) lower() (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) lower_field() (sage.rings.real_mpfi.RealIntervalField_class method) M magnitude() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) make_ComplexIntervalFieldElement0() (in module sage.rings.complex_interval) make_ComplexNumber0() (in module sage.rings.complex_mpfr) make_element() (in module sage.rings.real_lazy) max() (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) maximal_accuracy() (sage.rings.real_arb.RealBallField method) mid() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) middle_field() (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) midpoint() (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) mignitude() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) min() (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) modular_delta() (sage.rings.complex_arb.ComplexBall method) modular_eta() (sage.rings.complex_arb.ComplexBall method) modular_j() (sage.rings.complex_arb.ComplexBall method) modular_lambda() (sage.rings.complex_arb.ComplexBall method) module sage.rings.complex_arb sage.rings.complex_double sage.rings.complex_interval sage.rings.complex_interval_field sage.rings.complex_mpc sage.rings.complex_mpfr sage.rings.real_arb sage.rings.real_double sage.rings.real_interval_absolute sage.rings.real_lazy sage.rings.real_mpfi sage.rings.real_mpfr MPComplexField() (in module sage.rings.complex_mpc) MPComplexField_class (class in sage.rings.complex_mpc) MPComplexNumber (class in sage.rings.complex_mpc) MPCtoMPC (class in sage.rings.complex_mpc) mpfi_prec() (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) mpfr_get_exp_max() (in module sage.rings.real_mpfr) mpfr_get_exp_max_max() (in module sage.rings.real_mpfr) mpfr_get_exp_min() (in module sage.rings.real_mpfr) mpfr_get_exp_min_min() (in module sage.rings.real_mpfr) mpfr_prec_max() (in module sage.rings.real_mpfr) mpfr_prec_min() (in module sage.rings.real_mpfr) mpfr_set_exp_max() (in module sage.rings.real_mpfr) mpfr_set_exp_min() (in module sage.rings.real_mpfr) MpfrOp (class in sage.rings.real_interval_absolute) MPFRtoMPC (class in sage.rings.complex_mpc) multiplicative_order() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) N name() (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) NaN() (sage.rings.real_double.RealDoubleElement method) nan() (sage.rings.real_double.RealDoubleElement method) NaN() (sage.rings.real_double.RealDoubleField_class method) nan() (sage.rings.real_double.RealDoubleField_class method) nbits() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) nearby_rational() (sage.rings.real_mpfr.RealNumber method) nextabove() (sage.rings.real_mpfr.RealNumber method) nextbelow() (sage.rings.real_mpfr.RealNumber method) nexttoward() (sage.rings.real_mpfr.RealNumber method) ngens() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) norm() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) nth_root() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_mpfr.RealNumber method) numerical_approx() (sage.rings.real_mpfr.RealLiteral method) O overlaps() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) P pi() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) plot() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) polylog() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) pow() (sage.rings.complex_arb.ComplexBall method) prec() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) precision() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) psi() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) Q QQtoRR (class in sage.rings.real_mpfr) R rad() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rad_as_ball() (sage.rings.real_arb.RealBall method) random_element() (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) real() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) real_double_field() (sage.rings.complex_double.ComplexDoubleField_class method) real_field() (sage.rings.complex_interval_field.ComplexIntervalField_class method) real_part() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) RealBall (class in sage.rings.real_arb) RealBallField (class in sage.rings.real_arb) RealDoubleElement (class in sage.rings.real_double) RealDoubleField() (in module sage.rings.real_double) RealDoubleField_class (class in sage.rings.real_double) RealField() (in module sage.rings.real_mpfr) RealField_class (class in sage.rings.real_mpfr) RealInterval() (in module sage.rings.real_mpfi) RealIntervalAbsoluteElement (class in sage.rings.real_interval_absolute) RealIntervalAbsoluteField() (in module sage.rings.real_interval_absolute) RealIntervalAbsoluteField_class (class in sage.rings.real_interval_absolute) RealIntervalField() (in module sage.rings.real_mpfi) RealIntervalField_class (class in sage.rings.real_mpfi) RealIntervalFieldElement (class in sage.rings.real_mpfi) RealLazyField() (in module sage.rings.real_lazy) RealLazyField_class (class in sage.rings.real_lazy) RealLiteral (class in sage.rings.real_mpfr) RealNumber (class in sage.rings.real_mpfr) relative_diameter() (sage.rings.real_mpfi.RealIntervalFieldElement method) rgamma() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rising_factorial() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) round() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) rounding_mode() (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.real_mpfr.RealField_class method) rounding_mode_imag() (sage.rings.complex_mpc.MPComplexField_class method) rounding_mode_real() (sage.rings.complex_mpc.MPComplexField_class method) RRtoCC (class in sage.rings.complex_mpfr) RRtoRR (class in sage.rings.real_mpfr) rsqrt() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) S sage.rings.complex_arb module sage.rings.complex_double module sage.rings.complex_interval module sage.rings.complex_interval_field module sage.rings.complex_mpc module sage.rings.complex_mpfr module sage.rings.real_arb module sage.rings.real_double module sage.rings.real_interval_absolute module sage.rings.real_lazy module sage.rings.real_mpfi module sage.rings.real_mpfr module scientific_notation() (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) sec() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) sech() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) section() (sage.rings.complex_mpc.MPCtoMPC method) (sage.rings.real_mpfr.RRtoRR method) set_global_complex_round_mode() (in module sage.rings.complex_mpfr) Shi() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) shift_ceil() (in module sage.rings.real_interval_absolute) shift_floor() (in module sage.rings.real_interval_absolute) Si() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) sign() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) sign_mantissa_exponent() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) simplest_rational() (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) sin() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) sin_integral() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) sincos() (sage.rings.real_mpfr.RealNumber method) sinh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) sinh_integral() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) sinpi() (sage.rings.real_arb.RealBallField method) some_elements() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.real_arb.RealBallField method) spherical_harmonic() (sage.rings.complex_arb.ComplexBall method) split_complex_string() (in module sage.rings.complex_mpc) sqr() (sage.rings.complex_mpc.MPComplexNumber method) sqrt() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) sqrt1pm1() (sage.rings.real_arb.RealBall method) sqrtpos() (sage.rings.real_arb.RealBall method) square() (sage.rings.real_mpfi.RealIntervalFieldElement method) square_root() (sage.rings.real_mpfi.RealIntervalFieldElement method) squash() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) str() (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) T tan() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) tanh() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) to_prec() (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) ToRDF (class in sage.rings.real_double) trim() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) trunc() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) U ulp() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) union() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_ceil() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_floor() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_integer() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_round() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_sign() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_trunc() (sage.rings.real_mpfi.RealIntervalFieldElement method) upper() (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) upper_field() (sage.rings.real_mpfi.RealIntervalField_class method) Y y0() (sage.rings.real_mpfr.RealNumber method) y1() (sage.rings.real_mpfr.RealNumber method) yn() (sage.rings.real_mpfr.RealNumber method) Z zeta() (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.real_arb.RealBall method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) zeta_zeros() (sage.rings.complex_arb.ComplexBallField method) zetaderiv() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) ZZtoRR (class in sage.rings.real_mpfr)