Exact Derivatives via Automatic Differentiation

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Documentation for package ‘nabla’ version 0.7.1

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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