Function Repository Resource:

CorrespondingIntegers

Create a list of positive integers containing as many elements as the expression to which it is applied

Contributed by: Seth J. Chandler
 ResourceFunction["CorrespondingIntegers"][expr] gives a List {1…n} of positive integers where n is the length of expr. ResourceFunction["CorrespondingIntegers"][expr,start,jump] gives a list {start,start+jump,…,start+(n-1)×jump} where n is the length of expr. ResourceFunction["CorrespondingIntegers"][start,jump] creates an operator that, when applied to an expression expr, gives a list {start,start+jump,…,start+(n-1)×jump} where n is the length of expr.

Examples

Basic Examples (3)

Create a List of the positive integers corresponding to letters "a" to "j":

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Create a list of integers starting with 5 and incrementing by 2 each time that correspond to the letters "a" to "j":

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Create an operator which, when applied to an expression, creates a list with the same number of parts as that expression in which the first element is 1 and each successive value is 1 higher:

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Scope (4)

The function works on expressions that are not lists:

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Because the length of an Association is equal to its number of key value pairs, the function can be sensibly applied to associations:

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The function looks only at the first level of an expression to determine the correspondence:

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Using non-integer values for the starting value and/or the jump will give a warning, as this is not the purpose for which the function is intended:

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Applications (2)

Use CorrespondingIntegers to develop indices into a training and test set used for machine learning:

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Index the terms in some document both backward and forward:

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Properties and Relations (1)

This function can be combined with Thread to emulate the action of MapIndexed at level 1, where one takes the first part of the index:

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Seth J. Chandler

Version History

• 1.0.0 – 19 June 2019