different between idempotent vs idem
idempotent
English
Etymology
Latin roots, idem (“same”) +? potent (“having power”) – literally, “having the same power”.
Coined 1870 by American mathematician Benjamin Peirce in context of algebra.
Pronunciation
- (US) IPA(key): /a?.d?m?po?.t?nt/, /?.d?m?po?.t?nt/
Adjective
idempotent (not comparable)
- (mathematics, computing) 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.
- A projection operator is idempotent.
- (mathematics) 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.
- Every finite semigroup has an idempotent element.
- Every group has a unique idempotent element: namely, its identity element.
- (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).
- Since the AND logical operator is commutative, associative, and idempotent, then it distributes with respect to itself.
- (mathematics) Said of an algebraic structure: having an idempotent operation (in the sense above).
Usage notes
See the Usage notes section of nullipotent.
Coordinate terms
- nilpotent
- nullipotent
Related terms
- idempotence
- nilpotent
- nullipotent
- unipotent
Translations
Noun
idempotent (plural idempotents)
- (mathematics) An idempotent element.
- (mathematics) An idempotent structure.
References
- “idempotent” at FOLDOC
German
Pronunciation
Adjective
idempotent
- idempotent
Swedish
Adjective
idempotent
- idempotent
Turkish
Adjective
idempotent
- idempotent
idempotent From the web:
idem
English
Etymology
From Middle English idem, borrowed from Latin idem (“the same”).
Pronunciation
- IPA(key): /??.d?m/, /?a?.d?m/
Adjective
idem (not comparable)
- The same.
Usage notes
Used almost exclusively in footnotes of academic or scholarly papers, especially those of the legal profession, to indicate that the source or author referred to in a footnote is the same as in the preceding footnote; usually abbreviated when so used.
Derived terms
- id. or id
- idempotence, idempotent
Further reading
- idem on Wikipedia.Wikipedia
Anagrams
- Demi, Diem, Dime, demi, demi-, dime, meid
Dutch
Pronunciation
Adverb
idem
- idem, ditto
Anagrams
- meid
French
Etymology
Borrowed from Latin idem.
Pronunciation
- IPA(key): /i.d?m/
Adverb
idem
- idem, likewise
- Synonym: id.
Further reading
- “idem” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).
Anagrams
- demi, dîme
Italian
Pronunciation
- IPA(key): /?i.dem/
- Hyphenation: ì?dem
Adverb
idem
- ditto, and so, likewise, also
Pronoun
idem
- ditto, the same
Anagrams
- dime, medi
Latin
Alternative forms
- eidem (frequently in manuscripts and inscriptions)
- isdem, eisdem (rarely)
Etymology
From Proto-Italic *izdim; equivalent to is (“he”) + Proto-Italic *-im (emphatic marker) (whence Sabellic *-om, Oscan ???????????????????????? (ísídum), ???????????????????????? (esídum)), from Proto-Indo-European *im (whence also Old Latin im, em), accusative singular of *éy (so both parts are from the same source). The s was lost and the i lengthened by compensatory lengthening.
When the ablative cases e?d, e?d became e?, e?, the true forms e?d-em, e?d-em were interpreted as e?-dem, e?-dem. The neuter nominative singular id-em is natural and gives earlier emem (= later eundem). The new marker -dem then served to create totidem, tantumdem, ib?dem, etc. Compare tam-en with its later doublet: tan-dem (? *tam-dem).
Pronunciation
- (Classical) IPA(key): /?i?.dem/, [?i?d????]
- (Ecclesiastical) IPA(key): /?i.dem/, [?i?d??m]
Determiner
?dem (feminine eadem, neuter idem); demonstrative pronoun (with m optionally ? n in compounds) with an indeclinable portion
- the same
- 29 bc. Virgil. Georgics, III
- amor omnibus ?dem
- Love is the same for all
- amor omnibus ?dem
- 29 bc. Virgil. Georgics, III
Declension
Irregular declension. Similar to the declension of is, ea, id.Demonstrative pronoun (with m optionally ? n in compounds) with an indeclinable portion.
1The nom./dat./abl. plural forms regularly developed into a monosyllable /i?(s)/, with later remodelling - compare the etymology of deus. This /i?/ was normally spelled as EI during and as II after the Republic; a disyllabic i?, spelled II, I?, apears in Silver Age poetry, while disyllabic e?s is only post-Classical. Other spellings include EEI(S), EIEI(S), IEI(S).
2The dat. singular is found spelled EIEI (here represented as ??) and scanned as two longs in Plautus, but also as a monosyllable. The latter is its normal scansion in Classical. Other spellings include EEI, IEI.
Derived terms
- identidem
- identit?s (see there for further derivatives)
Related terms
References
- idem in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
- idem in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
- idem in Gaffiot, Félix (1934) Dictionnaire illustré Latin-Français, Hachette
- Carl Meissner; Henry William Auden (1894) Latin Phrase-Book?[1], London: Macmillan and Co.
- Sihler, Andrew L. (1995) New Comparative Grammar of Greek and Latin, Oxford, New York: Oxford University Press, ?ISBN
Portuguese
Pronunciation
- (Brazil) IPA(key): /?id?j?/
Pronoun
idem
- (demonstrative) idem, ditto (the aforesaid, the same)
Serbo-Croatian
Verb
idem (Cyrillic spelling ????)
- first-person singular present of i?i
idem From the web:
- what idem means
- what idempotent means
- what idem stands for
- what idempotent law
- what idem means in spanish
- what's idem in spanish
- idem meaning in french
- what does idk mean
you may also like
- idempotent vs idem
- idempotence vs idem
- same vs idem
- lila vs tessa
- elise vs rachel
- elise vs elysse
- elise vs elizabeth
- brianne vs brianna
- bryanna vs brianna
- celtic vs teutonic
- teutonic vs teuton
- teutonicism vs teutonic
- teutonic vs germany
- virology vs serology
- serology vs nonserology
- senology vs serology
- serology vs sexology
- serology vs immunoserology
- serology vs seroprevalent
- serology vs serological