"inverse" Definition | Free English Dictionary | international-dictionary.com
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meaning of "

inverse

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Webster

English Word:

inverse


English Pronunciation:

in•verse


Adjective:


⇨Etymology

(Latin) inversus, past participle of invertere: confer (French) inverse. See Invert.


⇨Definition

1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to direct.

2. (Botanical) Inverted; having a position or mode of attachment the reverse of that which is usual.

3. (Mathematics) Opposite in nature and effect; -- said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc whose sine is x. Inverse figures (Geometry), two figures, such that each point of either figure is inverse to a corresponding point in the order figure. -- Inverse points (Geometry), two points lying on a line drawn from the center of a fixed circle or sphere, and so related that the product of their distances from the center of the circle or sphere is equal to the square of the radius. -- Inverse, or Reciprocal, ratio (Mathematics), the ratio of the reciprocals of two quantities. -- Inverse, or Reciprocal, proportion, an equality between a direct ratio and a reciprocal ratio; thus, 4 : 2 : : , or 4 : 2 : : 3 : 6, inversely.



Noun:


⇨Definition

That which is inverse. Thus the course of human study is the inverse of the course of things in nature. Tatham.



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Wiktionary

Etymology:

Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'


Synonyms:

contraire m envers m


Noun:

The opposite of a given, due to contrary nature or effect. Deposing is the opposite of installing, and vice versa The reverse version of a procedure. Removing one's shoes is the inverse of putting one's shoes on (mathematics) The inverse of an element x with respect to a binary operation is an element that when combined with x yields the appropriate identity element. The additive inverse of x is -x as, x + -x = 0 where 0 is the additive identity element. The multiplicative inverse of x is x-1 as, x * x-1 = 1 where 1 is the multiplicative identity element. The compositional inverse of a function f is f–1 as, f f–1 is the identity function (ie f–1(f(a)) = a for all a). (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q.


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.


Adjective:

Adjective inverse (not comparable) Opposite in effect or 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. Multiplication is the inverse operation to division. (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class. (category theory) A morphism which is both a left inverse and a right inverse.


Anagrams:

versine


Reference:

inverse

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