inverse


Also found in: Dictionary, Thesaurus, Medical, Legal, Wikipedia.

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
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
References in periodicals archive ?
Wei, "Recurrent neural network for computing the Drazin inverse," IEEE Transactions on Neural Networks and Learning Systems, vol.
The underlying index of CSOP Nifty 50 Daily (2X) Leveraged Product and CSOP Nifty 50 Daily (-1x) Inverse Product is the Nifty 50 Index on the NSE, which is the benchmark index of India.
Example 2: Carl Davis buys an inverse ETF that tracks the NASDAQ 100.
Multi-Pronged Response: PG&E is responding to potential wildfire-related liabilities and inverse condemnation with legislative, judicial and regulatory initiatives.
where X is called the Drain inverse of A, denoted by X = [A.sup.D], and it is unique.
using the Drazin inverse, where z [member of] R([A.sup.k-1]) + N(A).
In this paper, we will use the NIM to solve inverse heat conduction problems (1)-(6).
Inverse Problem: we want to recover the solution u(r,t) [member of] [L.sup.2]((0,R),[rho]) with 0 [less than or equal to] t < T from the final time data u(r,T) := g(r) [member of] [L.sup.2]((0, R), [rho]) where [L.sup.2]((0, R), [rho]) denotes the Hilbert space of squares Lebesgue measurable functions with weight [rho](r) = r/[R.sup.2] defined on (0,R).
In section 4, Weyl solution, Weyl function are defined and uniqueness theorem for inverse problem according to Weyl function is proved.
Therefore, the inverse of the inverse radial distortion is calculated 10000 times and compared to the original distortion coefficients [9].
F-Secure said that Inverse's expertise in hardware security and the safety of critical embedded systems strengthens F-Secure's position as a service provider for businesses in critical sectors with challenging IT infrastructure.