different between inverse vs quotient
inverse
English
Etymology
Recorded since 1440, from Latin inversus, the past participle of invertere (“to invert”), itself from in- (“in, on”) + vertere (“to turn”).
Pronunciation
- (General American) IPA(key): /?n?v?s/, /??nv?s/
Adjective
inverse (not comparable)
- Opposite in effect, nature or order.
- Reverse, opposite in order.
- (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
- (mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
- (geometry) That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.
- (category theory, of a category) Whose every element has an inverse (morphism which is both a left inverse and a right inverse).
Derived terms
- inverse function
- inverse image
- inverse spelling
- inversely
- inverse video
Related terms
- inversion
- inversive
- reverse
Translations
Noun
inverse (plural inverses)
- An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.
- Cowgirl is the inverse of missionary.
- 321 is the inverse of 123.
- The result of an inversion, particularly:
- The reverse of any procedure or process.
- Uninstalling is the inverse of installation.
- (mathematics) A ratio etc. in which the antecedents and consequents are switched.
- The inverse of a:b is b:a.
- (geometry) The result of a circle inversion; the set of all such points; the curve described by such a set.
- The inverse P‘ of a point P is the point on a ray from the center O through P such that OP × OP‘ = r² or the set of all such points.
- (logic) The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.
- "Anything that isn't a dog doesn't go to heaven" is the inverse of "All dogs go to heaven." More generally, is the inverse of and is equivalent to the converse proposition .
- 1896, James Welton, A Manual of Logic, 2nd ed., Bk iii, Ch. iii, §102:
- Inversion is the inferring, from a given proposition, another proposition whose subject is the contradictory of the subject of the original proposition. The given proposition is called the Invertend, that which is inferred from it is termed the Inverse... The rule for Inversion is: Convert either the Obverted Converse or the Obverted Contrapositive.
- The reverse of any procedure or process.
- (mathematics) A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:
- (addition) The negative of a given number.
- The additive inverse of is , as , as is the additive identity element.
- (multiplication) One divided by a given number.
- The multiplicative inverse of is , as , as the multiplicative identity element.
- (functions) A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.
- The compositional inverse of a function is , as , as is the identity function. That is, .
- (addition) The negative of a given number.
- (category theory) A morphism which is both a left inverse and a right inverse.
- (card games) The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.
- 1850, Henry George Bohn, The Hand-book of Games, p. 343:
- If the player... be determined to try his luck on the inverse, he must place his money on a yellow circle, or rather a collection of circles, situated at the extremity of the table.
- 1950, Lawrence Hawkins Dawson, Hoyle's Games Modernized, 20th ed., p. 291:
- The tailleur never mentions the words ‘Black’ or ‘Inverse’, but always says that Red wins or Red loses, and that the colour wins or the colour loses.
- 1850, Henry George Bohn, The Hand-book of Games, p. 343:
- (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
Synonyms
- (addition): additive inverse
- (multiplication): multiplicative inverse
- (composition): compositional inverse
- (geometry): inverse point, inverse curve
Translations
See also
- (logic): obverse, converse, contraposition
Verb
inverse (third-person singular simple present inverses, present participle inversing, simple past and past participle inversed)
- (surveying) To compute the bearing and distance between two points.
Antonyms
- compute (a point).
Anagrams
- Severin, enviers, inserve, veiners, venires, versine
Danish
Adjective
inverse
- plural and definite singular attributive of invers
Dutch
Pronunciation
- Hyphenation: in?ver?se
Noun
inverse m or f (plural inversen)
- inverse
Adjective
inverse
- Inflected form of invers
Anagrams
- viseren
French
Pronunciation
- IPA(key): /??.v??s/
Etymology 1
From Latin inversus.
Adjective
inverse (plural inverses)
- inverse, the other way round
Derived terms
- barre inverse
- inversement
Noun
inverse m (plural inverses)
- the inverse, the contrary
- Synonyms: contraire, envers
Derived terms
Etymology 2
Verb
inverse
- first-person singular present indicative of inverser
- third-person singular present indicative of inverser
- first-person singular present subjunctive of inverser
- third-person singular present subjunctive of inverser
- second-person singular imperative of inverser
Further reading
- “inverse” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).
Anagrams
- enivres, enivrés
- reviens
- Séverin
- vernies
German
Pronunciation
Adjective
inverse
- inflection of invers:
- strong/mixed nominative/accusative feminine singular
- strong nominative/accusative plural
- weak nominative all-gender singular
- weak accusative feminine/neuter singular
Italian
Adjective
inverse
- feminine plural of inverso
Anagrams
- svenire
Latin
Participle
inverse
- vocative masculine singular of inversus
inverse From the web:
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quotient
English
Etymology
From Latin quoti?ns, from quoti?s.
Pronunciation
- (UK) IPA(key): /?kw????nt/
- (US) enPR: kw??sh?nt, IPA(key): /?kwo???nt/
Noun
quotient (plural quotients)
- (arithmetic) The number resulting from the division of one number by another.
- (arithmetic) The integer part of the result of such division.
- (mathematics) By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
- (obsolete, rare) A quotum or quota.
Derived terms
Related terms
Translations
See also
Other terms used in elementary arithmetic:
Anagrams
- not quite
French
Etymology
From Latin quoti?ns, from quoti?s.
Pronunciation
- IPA(key): /k?.sj??/
Noun
quotient m (plural quotients)
- quotient (result of a division).
Derived terms
- quotient intellectuel
Further reading
- “quotient” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).
quotient From the web:
- what quotient mean
- what quotient is equivalent to 2 2/3
- what quotient is represented by the model
- what quotient does the model represent
- what quotient in division
- what's quotient in math
- what's quotient and remainder
- what quotient of a number and 8
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