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more about inverse
inverse |
4 definitions found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Inverse \In*verse"\, a. [L. inversus p. p. of invertere: cf F. inverse. See {Invert}.] 1. Opposite in order relation, or effect; reversed; inverted; reciprocal; -- opposed to {direct}. 2. (Bot.) Inverted; having a position or mode of attachment the reverse of that which is usual. 3. (Math.) 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} (Geom.), two figures, such that each point of either figure is inverse to a corresponding point in the order figure. {Inverse points} (Geom.), 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} (Math.), 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 : : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely. From Webster's Revised Unabridged Dictionary (1913) [web1913]: Inverse \In"verse\, n. That which is inverse. Thus the course of human study is the inverse of the course of things in nature. --Tatham. From WordNet r 1.6 [wn]: inverse adj 1: inversely related; "1/2 is the inverse of 2" 2: reversed (turned backward) in order or nature or effect [syn: {reverse}] 3: (mathematics) varying in a manner opposite to that of another quantity; "a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases) [ant: {direct}] n 1: (math) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the inverse of 7 is 1/7 [syn: {reciprocal}] 2: something inverted in sequence or character or effect; "when the direct approach failed he tried the inverse" [syn: {opposite}] From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: inverseGiven a {function}, f : D -> C, a function g : C -> D is called a left inverse for f if for all d in D, g (f d) = d and a right inverse if for all c in C, f (g c) = c and an inverse if both conditions hold Only an {injection} has a left inverse, only a {surjection} has a right inverse and only a {bijection} has inverses. The inverse of f is often written as f with a -1 superscript. (1996-03-12)
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