binary relation R {\displaystyle R} on a set X {\displaystyle X} is antisymmetric if there is no pair of distinct elements of X {\displaystyle X} each...

Look up antisymmetric in Wiktionary, the free dictionary. Antisymmetric or skew-symmetric may refer to: Antisymmetry in linguistics Antisymmetry in physics...

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...

In Physics, antisymmetric exchange, also known as the Dzyaloshinskii–Moriya interaction (DMI), is a contribution to the total magnetic exchange interaction...

names include the permutation symbol, antisymmetric symbol, or alternating symbol, which refer to its antisymmetric property and definition in terms of...

In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its...

case for "is less than or equal to" and "preys on"). Symmetric and antisymmetric (where the only way a can be related to b and b be related to a is if...

are almost partial orders, but not quite, as they are not necessarily antisymmetric. A natural example of a preorder is the divides relation "x divides...

those that are symmetric, transitive, and antisymmetric, and those that are total, transitive, and antisymmetric. Pfeiffer has made some progress in this...

in V; alternating if B(v, v) = 0 for all v in V; skew-symmetric or antisymmetric if B(v, w) = −B(w, v) for all v, w in V; Proposition Every alternating...

words, more than one identical particle cannot occupy an antisymmetric state (one antisymmetric state can be occupied only by one particle). This is known...

a partial order is a homogeneous binary relation that is reflexive, antisymmetric, and transitive. A partially ordered set (poset for short) is an ordered...

{\displaystyle z\in V.} A complex skew-Hermitian form (also called an antisymmetric sesquilinear form), is a complex sesquilinear form s : V × V → C {\displaystyle...

combinations of properties. A partial order is a relation that is reflexive, antisymmetric, and transitive, an equivalence relation is a relation that is reflexive...

of a symmetric matrix and an antisymmetric matrix. Applying this to the Jacobian matrix with symmetric and antisymmetric components E and R respectively:...

permuted, and the antisymmetrical class, in which for such a permutation the wave function changes its sign...[The antisymmetrical class is] the correct...

symmetric and alternating squares are also known as the symmetric part and antisymmetric part of the tensor product. The second tensor power of a linear representation...

("plus") or an antisymmetric combination ("minus"). Particles that give symmetric combinations are called bosons; those with antisymmetric combinations...

y is a blood relative of x. Antisymmetric for all x, y ∈ X, if xRy and yRx then x = y. For example, ≥ is an antisymmetric relation; so is >, but vacuously...

b} and b ≤ a {\displaystyle b\leq a} then a = b {\displaystyle a=b} (antisymmetric). a ≤ b {\displaystyle a\leq b} or b ≤ a {\displaystyle b\leq a} (strongly...

decomposed into a symmetric and an antisymmetric part. As the electromagnetic field is characterized by an antisymmetric rank-2 tensor, there is an obvious...

{\displaystyle R\cup R^{\operatorname {T} }} is left (or right) quasi-reflexive. antisymmetric if whenever x , y ∈ X {\displaystyle x,y\in X} are such that x R y  and ...

isotropic exchange would align the spins exactly antiparallel, while antisymmetric exchange arising from relativistic effects (spin–orbit coupling) would...

[clarification needed] If a relation is reflexive, irreflexive, symmetric, antisymmetric, asymmetric, transitive, total, trichotomous, a partial order, total...

only the CH2 portion: two stretching modes (ν): symmetric (νs) and antisymmetric (νas); and four bending modes: scissoring (δ), rocking (ρ), wagging...

{\displaystyle V} be a real vector space equipped with a nonsingular real antisymmetric bilinear form ( ⋅ , ⋅ ) {\displaystyle (\cdot ,\cdot )} (i.e. a symplectic...

symmetric, but not necessarily antisymmetric, is indicated by Y in the "Symmetric" column and ✗ in the "Antisymmetric" column, respectively. All definitions...

field Tensor density Tensors in curvilinear coordinates Mixed tensor Antisymmetric tensor Symmetric tensor Tensor operator Tensor bundle Two-point tensor...

contraction with another set of indices when the expression is completely antisymmetric in each of the two sets of indices: A | α β γ | ⋯ B α β γ ⋯ = A α β...

(aRb\wedge bRa).} A relation is asymmetric if and only if it is both antisymmetric and irreflexive, so this may also be taken as a definition. An example...