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ArrayComponents—Wolfram Documentation

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ArrayComponents[array]

gives an array in which all identical elements of array are replaced by an integer index representing the component in which the element lies.

ArrayComponents[array,level]

finds the identical elements at the specified level in array

ArrayComponents[array,level,rules]

uses a rule or a list of rules for specifying the labels.

Details

ArrayComponents returns a label matrix where identical elements are represented by consecutive non-negative integers.
Occurrences of zeros or None in array are always labeled with zeros.
ArrayComponents can be used to canonicalize label matrices.

Examplesopen all close all Basic Examples (3)

Components in a symbolic array:

Components in the first level of an array:

Label identical elements in a list:

Scope (3)

ArrayComponents works with arbitrarily nested lists of symbols:

Label all positive integers with a specific label:

Use a specific label for a component:

Applications (1)

Normalize a label matrix with missing labels:

Wolfram Research (2010), ArrayComponents, Wolfram Language function, https://reference.wolfram.com/language/ref/ArrayComponents.html (updated 2012). Text Wolfram Research (2010), ArrayComponents, Wolfram Language function, https://reference.wolfram.com/language/ref/ArrayComponents.html (updated 2012).CMS Wolfram Language. 2010. "ArrayComponents." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2012. https://reference.wolfram.com/language/ref/ArrayComponents.html.APA Wolfram Language. (2010). ArrayComponents. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ArrayComponents.htmlBibTeX @misc{reference.wolfram_2025_arraycomponents, author="Wolfram Research", title="{ArrayComponents}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/ArrayComponents.html}", note=[Accessed: 17-August-2025]}BibLaTeX @online{reference.wolfram_2025_arraycomponents, organization={Wolfram Research}, title={ArrayComponents}, year={2012}, url={https://reference.wolfram.com/language/ref/ArrayComponents.html}, note=[Accessed: 17-August-2025]}

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