Exact Derivatives via Automatic Differentiation

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Documentation for package ‘nabla’ version 0.7.1

• DESCRIPTION file.
• User guides, package vignettes and other documentation.
• Package NEWS.

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nabla-package	nabla: Exact Derivatives via Automatic Differentiation
!-method	Arithmetic and comparison operators for dual numbers
*-method	Arithmetic and comparison operators for dual numbers
+-method	Arithmetic and comparison operators for dual numbers
--method	Arithmetic and comparison operators for dual numbers
/-method	Arithmetic and comparison operators for dual numbers
as.numeric-method	Coerce dual to numeric
atan2-method	Two-argument arctangent for dual numbers
beta	Beta function for dual numbers
beta-method	Beta function for dual numbers
c-method	Combine dual numbers into a dual_vector
D	Composable total derivative operator
deriv	Extract the derivative (tangent) part of a dual number
deriv-method	Extract the derivative (tangent) part of a dual number
deriv_n	Extract the k-th derivative from a nested dual result
differentiate_n	Compute a function value and all derivatives up to order n
dual	Create a dual number
dual-arithmetic	Arithmetic and comparison operators for dual numbers
dual-atan2	Two-argument arctangent for dual numbers
dual-coerce	Coerce dual to numeric
dual-combine	Combine dual numbers into a dual_vector
dual-is-numeric	Check if a dual number is numeric
dual-log	Logarithm with optional base for dual numbers
dual-math	Math group generic for dual numbers
dual-math2	Math2 group generic for dual numbers
dual-maxmin	Piecewise max and min for dual numbers
dual-show	Display a dual number
dual-summary	Summary group generic for dual numbers
dualr-class	Dual Number Class for Automatic Differentiation
dual_constant	Create a dual constant (derivative seed = 0)
dual_constant_n	Create a constant dual for n-th order differentiation
dual_variable	Create a dual variable (derivative seed = 1)
dual_variable_n	Create a dual seeded for n-th order differentiation
dual_vector	Create a vector of dual numbers
dual_vector-access	Indexing and length for dual_vector
dual_vector-class	Dual Number Vector
erf	Error function
erf-method	Error function
erfc	Complementary error function
erfc-method	Complementary error function
exp-method	Math group generic for dual numbers
gradient	Compute the gradient of a scalar-valued function
hessian	Compute the Hessian of a scalar-valued function
is.numeric-method	Check if a dual number is numeric
is_dual	Test whether an object is a dual number
jacobian	Compute the Jacobian of a vector-valued function
lbeta	Log-beta function for dual numbers
lbeta-method	Log-beta function for dual numbers
length-method	Indexing and length for dual_vector
log-method	Logarithm with optional base for dual numbers
Math-method	Math group generic for dual numbers
Math2-method	Math2 group generic for dual numbers
max-method	Piecewise max and min for dual numbers
min-method	Piecewise max and min for dual numbers
nabla	nabla: Exact Derivatives via Automatic Differentiation
Ops-method	Arithmetic and comparison operators for dual numbers
psigamma	Polygamma function for dual numbers
psigamma-method	Polygamma function for dual numbers
show-method	Display a dual number
sqrt-method	Math group generic for dual numbers
Summary-method	Summary group generic for dual numbers
value	Extract the value (primal) part of a dual number
value-method	Extract the value (primal) part of a dual number
[-method	Indexing and length for dual_vector
^-method	Arithmetic and comparison operators for dual numbers