Error: Special Functions of Mathematics

In dual: Automatic Differentiation with Dual Numbers

Special Functions of Mathematics

Description

Special mathematical functions related to the error function.

The function erfc(x) is a variant of the cumulative normal (or Gaussian) distribution funciton.

The functions erfinv(x) and erfcinv(x) respectively implement the inverse functions of erf(x) and erfc(x).

Usage

erf(x)

## S4 method for signature 'dual'
erf(x)

erfinv(x)

## S4 method for signature 'dual'
erfinv(x)

erfc(x)

## S4 method for signature 'dual'
erfc(x)

erfcinv(x)

## S4 method for signature 'dual'
erfcinv(x)

Arguments

x	dual object.

Value

A dual object containing the transformed values according to the chosen function.

Examples

x <- dual(0.5, 1)
erf(x)
erfc(x)
erfinv(x)
erfcinv(x)

dual documentation built on June 8, 2025, 11:17 a.m.