In linguistics, antisymmetry is a syntactic theory presented in Richard S. Kayne's 1994 monograph The Antisymmetry of Syntax. It asserts that grammatical...

Dynamic antisymmetry is a theory of syntactic movement presented in Andrea Moro's 2000 monograph Dynamic Antisymmetry based on the work presented in Richard...

dictionary. Antisymmetric or skew-symmetric may refer to: Antisymmetry in linguistics Antisymmetry in physics Antisymmetric relation in mathematics Skew-symmetric...

and that two distinct entities cannot each be a part of the other (antisymmetry), thus forming a poset. A variant of this axiomatization denies that...

}}\,aRb\,{\text{ and }}\,bRa\,{\text{ then }}\,a=b.} The definition of antisymmetry says nothing about whether a R a {\displaystyle aRa} actually holds or...

In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that "division" is always possible...

Dichromatic symmetry, also referred to as antisymmetry, black-and-white symmetry, magnetic symmetry, counterchange symmetry or dichroic symmetry, is a...

variable X is less-or-equal to variable Y reflexivity @ X leq X <=> true. antisymmetry @ X leq Y, Y leq X <=> X = Y. transitivity @ X leq Y, Y leq Z ==> X leq...

language, contrary to the main tenet of Antisymmetry. More details about these arguments can be found in the Antisymmetry article. Some scholars, such as Tesnière...

of antisymmetry after a break of 20 years. The book defines symmetry elements, operations and groups; it then introduces the concept of antisymmetry, and...

founded the field of generalised antisymmetry by introducing the concept of more than one kind of two-valued antisymmetry operation. Zamorzaev was born on...

y)|x,y\rangle ,} where each A(x,y) is a (complex) scalar coefficient. Antisymmetry under exchange means that A(x,y) = −A(y,x). This implies A(x,y) = 0 when...

Ball lightning is a rare and unexplained phenomenon described as luminescent, spherical objects that vary from pea-sized to several meters in diameter...

mathematician and crystallographer. Jablan is known for his contributions to antisymmetry, knot theory, the theory of symmetry and ornament, and ethnomathematics...

of tiles: two-color and two-motif tilings (counterchange symmetry or antisymmetry); color symmetry (in crystallography); metamorphosis or topological change;...

photon, have symmetric wave functions instead.: 162–218  In the case of antisymmetry, solutions of the wave equation for interacting electrons result in a...

(+1) from parity (location exchange), for a total of (−1) as needed for antisymmetry. Antisymmetric spin and antisymmetric under parity. In this case, the...

corresponds to mathematically switching arguments in the wave function. The antisymmetry feature of fermionic wave functions leads to the Pauli principle. Generally...

Slater, who introduced the determinant in 1929 as a means of ensuring the antisymmetry of a many-electron wave function, although the wave function in the determinant...

individual tensors can impose global symmetries on the wave function (such as antisymmetry under exchange of fermions) or restrict the wave function to specific...

covariance and contravariance, summations of tensor components, symmetry and antisymmetry, and partial and covariant derivatives. The Einstein summation convention...

movement (by proposing a weak version of the theory of antisymmetry, i.e. dynamic antisymmetry) according to which movement is the effect of a symmetry-breaking...

rigorously established the concept of antisymmetry as part of a series of papers in 1929 and 1930. Applying this antisymmetry operation to the 32 crystallographic...

\nabla \times (\nabla \varphi )={\boldsymbol {0}}} which follows from the antisymmetry in the definition of the curl, and the symmetry of second derivatives...

are completely antisymmetric in the three indices, generalizing the antisymmetry of the Levi-Civita symbol ϵ j k l {\displaystyle \epsilon _{jkl}} of...

⁡ x + i sin ⁡ x {\displaystyle x\to e^{ix}=\cos x+i\sin x} Conjugate antisymmetry: A complex-valued function of a real argument f : R → C {\displaystyle...

P, we have that: a ≤ a (reflexivity) if a ≤ b and b ≤ a then a = b (antisymmetry) if a ≤ b and b ≤ c then a ≤ c (transitivity). A set with a partial order...

associative algebra even if it is not actually defined that way. Using the antisymmetry property [ X , Y ] = − [ Y , X ] {\displaystyle [X,Y]=-[Y,X]} , the Jacobi...

"≤" inequality relation, satisfying the axioms of reflexivity (x ≤ x), antisymmetry (if x ≤ y and y ≤ x then x = y) and transitivity (if x ≤ y and y ≤ z...

idea behind the definition of Fock space. The choice of symmetry or antisymmetry is determined by the species of particle. For example, symmetric states...