Idempotence is a property of operations where an operation on a particular value returns that same value. For example, 0 is idempotent under addition (0+0=0) and under multiplication (0·0=0). 1 is idempotent under multiplication. (1·1=1).
Given an element a of set B and an operation
* on set B, a is idempotent under
B if and only if a * a = a.
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McAdams, David E. Idempotence. 8/7/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/idempotence.html.
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