audi
Contents:
Quick start
Installation guide
Documentation
Theory
Basic Python Tutorials:
The very basics
Understanding gduals and floats
Using vectorized doubles
Advanced Python Tutorials:
Differential Intelligence
Training Artificial Neural Networks
High Order Taylor Maps I
High Order Taylor Maps II
Map (series) inversion
Taylor Model Tutorials:
Taylor models of univariate functions
Taylor models of multivariate functions
Exploration of Volterra ODE system
Exploration of Kepler dynamics with a Neural network
audi
Index
Index
A
|
C
|
D
|
E
|
F
|
G
|
I
|
L
|
M
|
O
|
P
|
R
|
S
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T
A
abs() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
acos() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
acosh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arccos() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arccosh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arcsin() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arcsinh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arctan() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
arctanh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
asin() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
asinh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
atan() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
atanh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
audi::abs (C++ function)
,
[1]
,
[2]
audi::acos (C++ function)
,
[1]
audi::acosh (C++ function)
,
[1]
audi::asin (C++ function)
,
[1]
audi::asin_derivative (C++ function)
audi::asinh (C++ function)
,
[1]
audi::atan (C++ function)
,
[1]
audi::atanh (C++ function)
,
[1]
audi::binom_product (C++ function)
audi::binomial (C++ function)
,
[1]
audi::build_dim_to_var_map (C++ function)
audi::cbrt (C++ function)
audi::cos (C++ function)
,
[1]
audi::cosh (C++ function)
,
[1]
audi::exp (C++ function)
,
[1]
audi::factorial2 (C++ function)
audi::gdual (C++ class)
audi::gdual::_container (C++ function)
,
[1]
audi::gdual::_poly (C++ function)
,
[1]
audi::gdual::cf_type (C++ type)
audi::gdual::constant_cf (C++ function)
audi::gdual::degree (C++ function)
audi::gdual::evaluate (C++ function)
audi::gdual::extend_symbol_set (C++ function)
audi::gdual::extract_terms (C++ function)
audi::gdual::find_cf (C++ function)
,
[1]
audi::gdual::gdual (C++ function)
,
[1]
,
[2]
,
[3]
,
[4]
,
[5]
,
[6]
audi::gdual::get_derivative (C++ function)
,
[1]
,
[2]
audi::gdual::get_order (C++ function)
audi::gdual::get_symbol_set (C++ function)
audi::gdual::get_symbol_set_size (C++ function)
audi::gdual::info (C++ function)
audi::gdual::integrate (C++ function)
audi::gdual::is_zero (C++ function)
audi::gdual::key_type (C++ type)
audi::gdual::operator!= (C++ function)
audi::gdual::operator* (C++ function)
audi::gdual::operator*= (C++ function)
audi::gdual::operator+ (C++ function)
,
[1]
audi::gdual::operator+= (C++ function)
audi::gdual::operator- (C++ function)
,
[1]
audi::gdual::operator-= (C++ function)
audi::gdual::operator/ (C++ function)
audi::gdual::operator/= (C++ function)
audi::gdual::operator< (C++ function)
audi::gdual::operator<< (C++ function)
audi::gdual::operator= (C++ function)
,
[1]
audi::gdual::operator== (C++ function)
audi::gdual::operator> (C++ function)
audi::gdual::p_type (C++ type)
audi::gdual::partial (C++ function)
audi::gdual::subs (C++ function)
,
[1]
audi::gdual::trim (C++ function)
audi::gdual::~gdual (C++ function)
audi::generate_combinations (C++ function)
audi::get_a_matrix_vec (C++ function)
audi::get_coefficient (C++ function)
audi::get_cycled_2d_array_vec (C++ function)
audi::get_d_acc_matrix (C++ function)
audi::get_d_matrix (C++ function)
audi::get_lower_pascal_matrix (C++ function)
audi::get_max_degrees (C++ function)
audi::get_ndim (C++ function)
audi::get_poly (C++ function)
audi::get_q_matrix (C++ function)
audi::get_titi_base_lambda_generalbox (C++ function)
audi::get_titi_bernstein_patch_ndim_generalbox (C++ function)
audi::invert_map (C++ function)
audi::log (C++ function)
,
[1]
audi::pow (C++ function)
,
[1]
,
[2]
,
[3]
,
[4]
,
[5]
audi::shift_indices (C++ function)
audi::sin (C++ function)
,
[1]
audi::sin_and_cos (C++ function)
,
[1]
audi::sinh (C++ function)
,
[1]
audi::sinh_and_cosh (C++ function)
,
[1]
audi::sqrt (C++ function)
,
[1]
audi::tan (C++ function)
,
[1]
audi::tanh (C++ function)
,
[1]
audi::taylor_model (C++ class)
audi::taylor_model::extend_symbol_set (C++ function)
audi::taylor_model::get_bounds (C++ function)
,
[1]
audi::taylor_model::get_common_map (C++ function)
audi::taylor_model::get_dom (C++ function)
audi::taylor_model::get_exp (C++ function)
audi::taylor_model::get_ndim (C++ function)
audi::taylor_model::get_order (C++ function)
audi::taylor_model::get_rem (C++ function)
audi::taylor_model::get_tpol (C++ function)
audi::taylor_model::identity (C++ function)
,
[1]
audi::taylor_model::interval_equal (C++ function)
,
[1]
audi::taylor_model::map_equal (C++ function)
audi::taylor_model::map_interval_equal (C++ function)
audi::taylor_model::operator!= (C++ function)
audi::taylor_model::operator* (C++ function)
audi::taylor_model::operator*= (C++ function)
audi::taylor_model::operator+ (C++ function)
audi::taylor_model::operator+= (C++ function)
audi::taylor_model::operator- (C++ function)
,
[1]
audi::taylor_model::operator-= (C++ function)
audi::taylor_model::operator/ (C++ function)
audi::taylor_model::operator/= (C++ function)
audi::taylor_model::operator<< (C++ function)
audi::taylor_model::operator= (C++ function)
,
[1]
audi::taylor_model::operator== (C++ function)
audi::taylor_model::set_dom (C++ function)
audi::taylor_model::set_exp (C++ function)
audi::taylor_model::set_rem (C++ function)
audi::taylor_model::set_tpol (C++ function)
audi::taylor_model::taylor_model (C++ function)
,
[1]
,
[2]
,
[3]
,
[4]
audi::taylor_model::trim_map (C++ function)
audi::taylor_model::~taylor_model (C++ function)
C
cbrt() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
constant_cf (pyaudi.gdual_double property)
(pyaudi.gdual_vdouble property)
cos() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
cosh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
D
degree (pyaudi.gdual_double property)
(pyaudi.gdual_vdouble property)
domain (pyaudi.taylor_model property)
E
erf() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
erfc() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
evaluate() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
exp() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
exp_point (pyaudi.taylor_model property)
expm1() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
extend_symbol_set() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
extract_terms() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
F
find_cf() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
G
gdual_double (class in pyaudi)
gdual_vdouble (class in pyaudi)
get_bounds() (pyaudi.taylor_model method)
get_custom_bounds() (pyaudi.taylor_model static method)
get_derivative() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
I
identity() (pyaudi.taylor_model static method)
info() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
integrate() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
interval_equal() (pyaudi.taylor_model static method)
is_zero() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
L
log() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
log10() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
log1p() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
log2() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
M
map_equal() (pyaudi.taylor_model static method)
map_interval_equal() (pyaudi.taylor_model static method)
matmul (C++ function)
O
operator<< (C++ function)
,
[1]
order (pyaudi.gdual_double property)
(pyaudi.gdual_vdouble property)
P
partial() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
R
rem_bound (pyaudi.taylor_model property)
S
sin() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
sinh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
sqrt() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
subs() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
T
tan() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
tanh() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)
(pyaudi.taylor_model method)
taylor_model (class in pyaudi)
tpol (pyaudi.taylor_model property)
transpose (C++ function)
trim() (pyaudi.gdual_double method)
(pyaudi.gdual_vdouble method)