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Что (кто) такое antisymmetric - определение
WIKIMEDIA DISAMBIGUATION PAGE
Skew-symmetric; Anti-symmetric; Antisymmetric (disambiguation)
Найдено результатов: 11
antisymmetric
<mathematics> A relation R is antisymmetric if,
for all x and y, x R y and y R x => x == y.
I.e. no two different elements are mutually related.
Partial orders and total orders are antisymmetric. If R
is also symmetric, i.e.
x R y => y R x
then
x R y => x == y
I.e. different elements are not related.
(1995-04-18)
antisymmetric
¦ adjective Mathematics & Physics unaltered in magnitude but changed in sign by an arithmetical or symmetry operation.
Antisymmetric tensor
TENSOR EQUAL TO THE NEGATIVE OF ANY OF ITS TRANSPOSITIONS
Alternating tensor; Completely antisymmetric tensor; Anti-symmetric tensor; Skew-symmetric tensor; Totally antisymmetric tensor
In mathematics and theoretical physics, a tensor is antisymmetric on (or with respect to) an index subset if it alternates sign (+/−) when any two indices of the subset are interchanged. section §7.
Antisymmetric relation
BINARY RELATION SUCH THAT IF A IS RELATED TO B AND IS DIFFERENT FROM IT THEN B IS NOT RELATED TO A
Anti-symmetric relation
In mathematics, a binary relation on a set is antisymmetric if there is no pair of distinct elements of each of which is related by to the other. More formally, is antisymmetric precisely if for all
or equivalently, The definition of antisymmetry says nothing about whether actually holds or not for any . An antisymmetric relation on a set may be reflexive (that is, for all ), irreflexive (that is, for no ), or neither reflexive nor irreflexive. A relation is asymmetric if and only if it is both antisymmetric and irreflexive.
Antisymmetric exchange
CONTRIBUTION TO MAGNETIC EXCHANGE INTERACTION
Dzyaloshinskii-Moriya Interaction; Antisymmetric Exchange; Dzyaloshinsky-Moriya interaction; Dzyaloshinskii–Moriya interaction; Dzyaloshinskii-Moriya interaction
In Physics, antisymmetric exchange, also known as the Dzyaloshinskii–Moriya interaction (DMI), is a contribution to the total magnetic exchange interaction between two neighboring magnetic spins, \mathbf{S}_i and \mathbf{S}_j . Quantitatively, it is a term in the Hamiltonian which can be written as
Skew-symmetric matrix
SQUARE MATRIX WHOSE TRANSPOSE IS ITS NEGATIVE
Anti-symmetric matrix; Antisymmetric matrix; Skew symmetric matrix; Skew-symmetry; Skew symmetric; Antimetric matrix; Skew-symmetric matrices; Antisymmetric matrices; Skew symmetry
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition
Antisymmetry
.png?width=200 "X-bar syntactic tree showing the movement of the specifier (S) relative to the head (H) and complement (C)")
In linguistics, antisymmetry is a theory of syntactic linearization presented in Richard S. Kayne's 1994 monograph The Antisymmetry of Syntax.
Dynamic antisymmetry
Dynamic Antisymmetry
Dynamic antisymmetry is a theory of syntactic movement presented in Andrea Moro's 2000 monograph Dynamic Antisymmetry based on the work presented in Richard S. Kayne's 1994 monograph The Antisymmetry of Syntax.
Sesquilinear form
MAP TAKING TWO VECTORS FROM A COMPLEX VECTOR SPACE AND RETURNING A COMPLEX NUMBER, WHICH IS LINEAR IN ONE VARIABLE AND SEMILINEAR IN ANOTHER VARIABLE
Sesquilinear; Hermitian form; Skew-Hermitian form; Hermitian space; Hermitian product; Semi-bilinear form; Symmetric sesquilinear form; Antisymmetric sesquilinear form
In mathematics, a sesquilinear form is a generalization of a bilinear form that, in turn, is a generalization of the concept of the dot product of Euclidean space. A bilinear form is linear in each of its arguments, but a sesquilinear form allows one of the arguments to be "twisted" in a semilinear manner, thus the name; which originates from the Latin numerical prefix sesqui- meaning "one and a half".
Bilinear form
LINEAR FUNCTIONAL ON TENSOR PRODUCT SQUARE OF A VECTOR SPACE
Alternating bilinear form; Skew-symmetric bilinear form; Antisymmetric bilinear form; Symmetric bilinear space; Reflexive bilinear form; Skew form; Anti-symmetric bilinear form; Unimodular form; Perfect pairing; Bilinear product; Skew-symmetric form; Skew symmetric form; Radical of a quadratic space
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called vectors) over a field K (the elements of which are called scalars). In other words, a bilinear form is a function that is linear in each argument separately:
Википедия
Antisymmetric
Antisymmetric or skew-symmetric may refer to:
- Antisymmetry in linguistics
- Antisymmetric relation in mathematics
- Skew-symmetric graph
- Self-complementary graph
In mathematics, especially linear algebra, and in theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (e.g. matrix transposition) is performed. See:
- Skew-symmetric matrix (a matrix A for which AT = −A)
- Skew-symmetric bilinear form is a bilinear form B such that B(x, y) = −B(y, x) for all x and y.
- Antisymmetric tensor in matrices and index subsets.
- "antisymmetric function" – odd function
