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(said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
Examples
- A projection operator is idempotent.
- An HTTP request using the PUT verb should be idempotent, so that it can be sent to the server any number of times with the same end result.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
(said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, sciences
Examples
- Every finite semigroup has an idempotent element.
- Every group has a unique idempotent element: namely, its identity element.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
(said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, sciences
Examples
- Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
(said of an algebraic structure) Having an idempotent operation (in the sense given above).
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
An idempotent element.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
An idempotent structure.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
7
adjective satellite
Meaning 7
unchanged in value following multiplication by itself
Definition source: Princeton WordNet 3.0
Examples
- this matrix is idempotent
Meaning relationships
Synonyms: none provided
Antonyms: none provided
From Latin roots idem (“same”) + potent (“having power”), thus “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra, later generalized to computer science.
Across languages
Translations
19 source translations are retained for this English entry.
-
Chinese Mandarin:
冪等 /幂等
(mìděng)
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Czech:
idempotentní
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Danish:
idempotent
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Esperanto:
idempotento
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Finnish:
idempotentti
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
French:
idempotent
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
German:
idempotent
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Icelandic:
sjálfvalda
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Japanese:
冪等
(bekitō)
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Polish:
idempotentny
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Russian:
идемпоте́нтный
(idempoténtnyj)
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Swedish:
idempotent
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Turkish:
idempotent
— mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed
-
Chinese Mandarin:
冪等 /幂等
(mìděng)
— mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself
-
Esperanto:
idempotento
— mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself
-
Finnish:
idempotentti
— mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself
-
Greek:
ταυτοδύναμος
(taftodýnamos)
— mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself
-
Spanish:
idempotente
— mathematics: Said of an element of an algebraic structure with a binary operation: that when the element operates on itself, the result is equal to itself
-
Finnish:
idempotentti
— Said of a binary operation: that all of the distinct elements it can operate on are idempotent
