# Wolfram Language & System 10.0 (2014)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# DiscreteRatio

DiscreteRatio[f,i]
gives the discrete ratio .

DiscreteRatio[f,{i,n}]
gives the multiple discrete ratio.

DiscreteRatio[f,{i,n,h}]
gives the multiple discrete ratio with step h.

DiscreteRatio[f,i,j,]
computes the partial difference ratio with respect to i, j, .

## Details and OptionsDetails and Options

• DiscreteRatio[f,i] can be input as . The character is entered EscdratioEsc or as \[DiscreteRatio]. The variable i is entered as a subscript.
• All quantities that do not explicitly depend on the variables given are taken to have discrete ratio equal to one.
• A multiple discrete ratio is defined recursively in terms of lower discrete ratios.
• Discrete ratio is the inverse operator to indefinite product.
• DiscreteRatio[f,,Assumptions->assum] uses the assumptions assum in the course of computing discrete ratios.

## ExamplesExamplesopen allclose all

### Basic Examples  (4)Basic Examples  (4)

Discrete ratio with respect to i:

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Discrete ratio for a geometric progression corresponds to the ratio:

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Enter using EscdratioEsc, and subscripts using Ctrl+_:

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Discrete ratio is the inverse operator to Product: »

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