English Dictionary: inverse | by the DICT Development Group |
4 results for inverse | |
From WordNet (r) 3.0 (2006) [wn]: | |
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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 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 : : [frac13] : [frac16], or 4 : 2 : : 3 : 6, inversely. | |
From The Free On-line Dictionary of Computing (15Feb98) [foldoc]: | |
inverse -> 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) |