(Latin) inversus, past participle of invertere: confer (French) inverse. See Invert.
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.
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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Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'
contraire m envers m
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.
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 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.
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