Definition of Invese
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 : : ⅓ : ⅙,
or 4 : 2 : : 3 : 6, inversely.
In"verse, n. That which is
inverse.
Thus the course of human study is the inverse
of the course of things in nature. Tatham.
- Webster's Unabridged Dictionary (1913)
- (math) Having the properties of an inverse.
- (math) An element of an algebraic structure, which yields the identity when applied to a given element.
The inverse of 2 under addition is -2, under multiplication it is 1/2.
- (math) A function which when composed with a given function yields the identity function.
- The Nuttall Encyclopedia
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