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 Options • DiscreteRatio[f,i] can be input as if. The character is entered dratio 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.

Examples

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Basic Examples(4)

Discrete ratio with respect to i:

 In:= Out= Discrete ratio for a geometric progression corresponds to the ratio:

 In:= Out= Enter using dratio , and subscripts using :

 In:= Out= Discrete ratio is the inverse operator to Product: »

 In:= Out= In:= Out= Neat Examples(1)

Introduced in 2008
(7.0)