# inverse

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## 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 ?
In these cases, the inverse of weighted distance method is used as a simple extension for interpolation of a regular grid from scattered data points where the characteristics of a block (e.
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Mukesh Agarwal, CEO of IISL, said, "The listing of Nifty 50 based leverage and inverse products in Hong Kong will ensure that investors in Hong Kong and China can participate in the India growth story.
Example 3; Eve Foster buys a 2X inverse ETF on the Russell 2000 index of small company stocks.
In order to solve the interval inverse problems, some interval analysis methods have to be used.
Inverse Paradox is a creative agency that specializes in web design, graphic design, and e-commerce.
Inverse psoriasis presents in only 3 to 7% of psoriatic patients and differs from the more common psoriasis vulgaris in the localization of skin lesions as well as in the therapeutic approach.
3] Let (S, (x), [less than or equal to]) be a partially ordered inverse semigroup.
VelocityShares Daily Inverse VIX Mid-Term ETN (ZIV) is the older brother to XIV, and performed nearly as well, returning 88.
The creep and inverse creep behaviour of sewing thread before and after sewing process is studied with constant load in a developed instrument, where the sewing thread are subjected to dynamic tension and function in the sewing process.
According to the Appellate Court of Connecticut, the existence of a judgment in a prior eminent domain action does not preclude a landowner from bringing an inverse condemnation claim.

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