In mathematics, the term weak inverse is used with several meanings. In the theory of semigroups, a weak inverse of an element x in a semigroup (S, •)...

{\displaystyle AA^{+}A=\;A.} ⁠ A + {\displaystyle A^{+}} ⁠ acts like a weak inverse: A + A A + = A + . {\displaystyle A^{+}AA^{+}=\;A^{+}.} ⁠ A A + {\displaystyle...

which every morphism is invertible and every object has a weak inverse. (Here, a weak inverse of an object x is an object y such that xy and yx are both...

a in R there exists an x in R with a = axa. One may think of x as a "weak inverse" of the element a; in general x is not uniquely determined by a. Von...

science, an inverse-square law is any scientific law stating that the observed "intensity" of a specified physical quantity is inversely proportional...

number of occurrences of each state. Then the quadratic form in the weak inverse of the 120×120 covariance matrix yields a test equivalent to the likelihood...

the inverse property if it has both the left and right inverse properties. Inverse property loops also have the antiautomorphic and weak inverse properties...

Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov...

Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that calculates the amount of force between two electrically...

dietary supplement for calcium and magnesium. Some studies have shown a weak inverse relationship between water hardness and cardiovascular disease in men...

theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse y in S in...

inverse function. The inverse function is also differentiable, and the inverse function rule expresses its derivative as the multiplicative inverse of...

Generalized inverse Identity element Light's associativity test Principal factor Quantum dynamical semigroup Semigroup ring Weak inverse The closure axiom...

an E-inversive semigroup) is a semigroup in which every element a has at least one weak inverse x, meaning that xax = x. The notion of weak inverse is (as...

_{\|v\|_{V}=1}\sup _{\|h\|_{H}\leq 1}|B(h,v)|\geq c;} (existence of a "weak inverse") for each continuous linear functional f ∈ V∗, there is an element h ∈ H...

In mathematics, the inverse limit (also called the projective limit) is a construction that allows one to "glue together" several related objects, the...

(DRA)-like agents that have been referred to as dopamine transporter (DAT) "inverse agonists" rather than as simple competitive reuptake inhibitors (which...

more energy than the photon, the reverse would occur. This is known as inverse Compton scattering, in which the scattered photon increases in energy....

both left-inverse and right-inverse, then the two inverses are equal, so f is an isomorphism, and g is called simply the inverse of f. Inverse morphisms...

when I say I believe in the law of the inverse squares, and I will not rest my life and my hopes upon weaker convictions ... That my personality is the...

nominative plural suffix -t closes the final syllable, causing the weak grade to appear. The inverse pattern arises when the stem ends in a consonant. (This includes...

Weipoltshammer proved that the notion of weak inverse (the existence of which is one way to define E-inversive semigroups) can also be used to define/characterize...

Na−F distances. A very unusual situation occurs in a compound dubbed "inverse sodium hydride", which contains H+ and Na− ions. Na− is an alkalide, and...

programming. Muggleton and Wray Buntine introduced predicate invention and inverse resolution in 1988. Several inductive logic programming systems that proved...

alternative formula for the inverse Laplace transform is given by Post's inversion formula. The limit here is interpreted in the weak-* topology. In practice...

River in New Jersey are examples of vertically homogeneous estuaries. Inverse estuaries occur in dry climates where evaporation greatly exceeds the inflow...

equations because of a weak balance between dispersive and nonlinear effects. Gardner, Greene, Kruskal and Miura introduced the inverse scattering transform...

order. The total preorder which is the inverse of its complement is in this case a total order. For a strict weak order < {\displaystyle \,<\,} another...

Bostrom counts thirty, but the underlying principles can be divided into "weak" and "strong" forms, depending on the types of cosmological claims they entail...

has also been called the opposite or dual of the original relation, the inverse of the original relation, or the reciprocal L ∘ {\displaystyle L^{\circ...