antisymmetric set
1Antisymmetric relation — In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X , if a is R to b and b is R to a , then a = b .In mathematical notation, this is::forall a, b in X, a R b and b R a ; Rightarrow ; a = bor equally, :forall a …
2Antisymmetric — In set theory, the adjective antisymmetric usually refers to an antisymmetric relation.The term antisymmetric function is sometimes used for odd function, although some meanings of antisymmetric are essentiality f ( y , x ) = − f ( x , y ). In… …
3antisymmetric — adjective Of a relation R on a set S, having the property that for any two distinct elements of S, at least one is not related to the other via R. See Also: symmetric …
4Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …
5Implementation of mathematics in set theory — This article examines the implementation of mathematical concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU, the version of Quine s New… …
6Ordered set — In order theory in mathematics, a set with a binary relation R on its elements that is reflexive (for all a in the set, aRa), antisymmetric (if aRb and bRa, then a = b) and transitive (if aRb and bRc, then aRc) is described as a… …
7Directed set — In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set A together with a reflexive and transitive binary relation ≤ (that is, a preorder), with the additional property that every pair of elements has an upper… …
8Antisymmetrizer — In quantum mechanics, an antisymmetrizer mathcal{A} (also known as antisymmetrizing operator [P.A.M. Dirac, The Principles of Quantum Mechanics , 4th edition, Clarendon, Oxford UK, (1958) p. 248] ) is a linear operator that makes a wave function… …
9Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …
10Identical particles — Statistical mechanics Thermodynamics · …
