idempotent
idempotent is a polysyllabic word with 3 syllables. Using the Knuth-Liang algorithm, we calculated the hyphenation for the word you’ve entered. However, this hyphenation has not been verified against authoritative sources and may be approximate. This is because the algorithm relies on pre-defined patterns that may not cover all exceptions, contextual variations, or irregular spellings. We are working to verify hyphenations against trusted sources to ensure greater accuracy. For now, idempotent is hyphenated as:
Definitions ofidempotent
- An idempotent element.
- An idempotent structure.
- Said of a function: describing an action which, when performed multiple times on the same subject, has no further effect on its subject after the first time it is performed.
- Said of an element of an algebraic structure with a binary operation (such as a group or semigroup): when the element operates on itself, the result is equal to itself.
Example: "Every group has a unique idempotent element: namely, its identity element."
- Said of a binary operation: that all of the distinct elements it can operate on are idempotent (in the sense given just above).
Example: "Since the AND logical operator is commutative, associative, and idempotent, then it distributes with respect to itself."
- Said of an algebraic structure: having an idempotent operation (in the sense above).
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