Source : Webster's Revised Unabridged Dictionary (1913)
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.
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.
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.
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.
Source : WordNet®
inverse
n : something inverted in sequence or character or effect; "when
the direct approach failed he tried the inverse" [syn: {opposite}]
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}]
Source : Free On-Line Dictionary of Computing
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)