Div: Division of functional objects

In DistributionalDDA: Distributional Data Analysis in Bayes Spaces

Division of functional objects

Description

This division is also able to divide functions and BayesSpace objects with constants. The quotient of two functions is a function that results in the quotient of the two results. The quotient of a BayesSpace objects (in BData) with a constant, is given by the BayesSpace operations of powering with the inverse value 1/y.

Usage

Div(x, y)

## S3 method for class ''function''
Div(x, y)

## S3 method for class 'list'
Div(x, y)

## S3 method for class 'numeric'
Div(x, y)

## S3 method for class 'BData'
Div(x, y)

## S3 method for class ''function''
Div.function(x, y)

## S3 method for class ''function''
Div.list(x, y)

## S3 method for class 'list'
Div.function(x, y)

## S3 method for class 'numeric'
Div.function(x, y)

## S3 method for class ''function''
Div.numeric(x, y)

## S3 method for class 'numeric'
Div.numeric(x, y)

## S3 method for class 'numeric'
Div.list(x, y)

## S3 method for class 'list'
Div.numeric(x, y)

## S3 method for class 'list'
Div.list(x, y)

Arguments

x	a functional object
y	a functional object

Value

A BData object of the same subclass as the first argument (the Bayes-space sum / difference / scalar multiple / quotient).

Methods (by class)

• Div(`function`): method for functions

• Div(list): method for vectorizing over lists

• Div(numeric): method for numerical values seen as constant functions

• Div(BData): method for operating any BData object (argument 'x') by a numeric value (argument 'y'); defers calculations to 'Mul()'

Functions

• Div.function(`function`): method for deviding two functions

• Div.list(`function`): method for multiplying a function with each element of a list

• Div.function(list): method for multiplying a function with each element of a list

• Div.function(numeric): method for dividing a function with a constant

• Div.numeric(`function`): method for deviding a constant with a function

• Div.numeric(numeric): method for deviding two numeric values

• Div.list(numeric): method for dividing each element of a list with a constant

• Div.numeric(list): method for deviding a constant with each element of a list

• Div.list(list): method for vectorized division of the elements of lists

See Also

Other Add: Add(), Mul(), Sub()

Examples

Div(sin,cos)
Div(list(sin,cos),sin)
Div(cos,list(sin,cos))
Div(list(sin,cos),list(sin,cos))
Div(list(sin,cos),10)

DistributionalDDA documentation built on Oct. 20, 2026, 5:06 p.m.