inverse


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Related to inverse: inverse function, Inverse proportion, Inverse matrix

inverse

1. Maths
a. (of a relationship) containing two variables such that an increase in one results in a decrease in the other
b. (of an element) operating on a specified member of a set to produce the identity of the set: the additive inverse element of x is --x, the multiplicative inverse element of x is 1/x
2. Maths
a. another name for reciprocal
b. an inverse element
3. Logic a categorial proposition derived from another by changing both the proposition and its subject from affirmative to negative, or vice versa, as all immortals are angels from no mortals are angels

inverse

[′in‚vərs]
(mathematics)
The additive inverse of a real or complex number a is the number which when added to a gives 0; the multiplicative inverse of a is the number which when multiplied with a gives 1.
The inverse of a fractional ideal I of an integral domain R is the set of all elements x in the quotient field K of R such that xy is in I for all y in I.
For a set S with a binary operation x · y that has an identity element e, the inverse of a member, x, of S is another member, , of S for which x · = · x = e.

inverse

(mathematics)
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.
References in periodicals archive ?
Since Harner founded the company eight years ago with Melissa Cherepanya, Director of Operations, Inverse has grown to produce and enhance over 500 websites using some of the most advance WordPress services available, creating entirely custom websites tailored to a business' goals.
3] Let (S, (x), [less than or equal to]) be a partially ordered inverse semigroup.
The City first argued that Barton's inverse condemnation claim was barred by the existence of the judgment in the first eminent domain proceeding.
1] from SxS into S where S is an inverse semigroup, is continous with respect to the semigroup topology.
A common nomenclature is to call them inverse singularities and direct singularities respectively.
Two Community Development Blocks' Primary Health Centres (BPHCs), Ramnagar and Fatehganj were selected randomly, one for conventional sampling and another for inverse sampling.
Our existing double inverse ETFs based on these indexes are popular, but some investors prefer the lower volatility of single inverse exposure," said Michael L.
To answer this question, we compared several mixed forms: the standard heterogeneous combination of algebraic direct demand and graphical inverse demand and alternative algebra-graph combinations (direct-direct or inverse-inverse) in homogeneous forms.
A necessary condition for the Moore Penrose inverse of a k-idempotent matrix to be k-idempotent is also found.
An inverse energy cascade is the transfer of energy from a local scale - local winds or small vortices, for example - to very large-scale circulations, such as big vortices and jet streams," Choi said.
Inverse is Kylie's first foray into the world of male fragrances and aims to capture the two sides of a modern man, according to the manufacturers, "encompassing his intrinsic masculinity and his softer, more sensitive side".