nontrivially
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applied logic — Introduction the study of the practical art of right reasoning. The formalism (formal logic) and theoretical results of pure logic can be clothed with meanings derived from a variety of sources within philosophy as well as from other… … Universalium
P-group — In mathematics, given a prime number p , a p group is a periodic group in which each element has a power of p as its order. That is, for each element g of the group, there exists a nonnegative integer n such that g to the power pn is equal to the … Wikipedia
Martin Dunwoody — Martin John Dunwoody (born November 3, 1938) is an Emeritus Professor of mathematics at the University of Southampton, England. He earned his Ph.D. in 1964 from the Australian National University. He held positions at the University of Sussex… … Wikipedia
Monomorphism — This page is about the mathematical term. For other uses, see Monomorphic (disambiguation) or Polymorphism (disambiguation). In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from … Wikipedia
Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… … Wikipedia
Injective module — In mathematics, especially in the area of abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z module Q of all rational numbers. Specifically, if Q is a submodule of some… … Wikipedia
Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… … Wikipedia
Stiefel manifold — In mathematics, the Stiefel manifold V k (R n ) is the set of all orthonormal k frames in R n . That is, it is the set of ordered k tuples of orthonormal vectors in R n . Likewise one can define the complex Stiefel manifold V k (C n ) of… … Wikipedia
Meyer's theorem — For the theorem in computational complexity theory see P/poly. In number theory, Meyer s theorem on quadratic forms states that an indefinite quadratic form Q in five or more variables over the field of rational numbers nontrivially represents… … Wikipedia
Helicity (particle physics) — In particle physics, helicity is the projection of the spin vec S onto the direction of momentum, hat p ::h = vec Scdot hat p,qquad hat p = vec p / |vec p|Because the spin with respect to an axis has discrete values, helicity is discrete, too.… … Wikipedia
