|
Inverse - Dictionary Definition and Overview |
|
Inverse : adj
1: reversed (turned backward) in order or nature or effect
[syn: reverse]
2: opposite in nature or effect or relation to another quantity
; "a term is in inverse proportion to another term if it
increases (or decreases) as the other decreases (or
increases)" [ant: direct]
(noun)
1: something inverted in sequence or character or effect; "when
the direct approach failed he tried the inverse" [syn: opposite]
Based on WordNet 2.0
|
|
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.
Based on Webster's Revised Unabridged Dictionary
|
|
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.
Based on Webster's Revised Unabridged Dictionary
|
|
Inverse :
Given 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)
Based on Webster's Revised Unabridged Dictionary (1913)
|
|
|
|
|
