See idempotent in All languages combined, or Wiktionary
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"(mathematics, computing) (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."
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"text": "Every finite semigroup has an idempotent element.",
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"text": "Every group has a unique idempotent element: namely, its identity element.",
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"(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."
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"(mathematics) (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."
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"text": "Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.",
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"(said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above)."
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"(mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above)."
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"(said of an algebraic structure) Having an idempotent operation (in the sense given above)."
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"(mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above)."
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{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "mìděng",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "冪等 /幂等"
},
{
"code": "cs",
"lang": "Czech",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotentní"
},
{
"code": "da",
"lang": "Danish",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotent"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotento"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotentti"
},
{
"code": "fr",
"lang": "French",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotent"
},
{
"code": "de",
"lang": "German",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotent"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "sjálfvalda"
},
{
"alt": "べきとう",
"code": "ja",
"lang": "Japanese",
"roman": "bekitō",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "冪等"
},
{
"code": "pl",
"lang": "Polish",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotentny"
},
{
"code": "ru",
"lang": "Russian",
"roman": "idempoténtnyj",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "идемпоте́нтный"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotent"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed",
"word": "idempotent"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "mìděng",
"sense": "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",
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"code": "eo",
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"sense": "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",
"word": "idempotento"
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{
"code": "fi",
"lang": "Finnish",
"sense": "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",
"word": "idempotentti"
},
{
"code": "el",
"lang": "Greek",
"roman": "taftodýnamos",
"sense": "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",
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{
"code": "es",
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"sense": "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",
"word": "idempotente"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "Said of a binary operation: that all of the distinct elements it can operate on are idempotent",
"word": "idempotentti"
}
],
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"word": "idempotent"
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"etymology_text": "Latin roots, idem (“same”) + potent (“having power”) – literally, “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra.",
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"An idempotent element."
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"(mathematics) An idempotent element."
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"An idempotent structure."
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"(mathematics) An idempotent structure."
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Download raw JSONL data for idempotent meaning in English (11.4kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.