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...

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

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...

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

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

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

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...

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) =...

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

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

{\displaystyle B\subseteq C} , then A ⊆ C {\displaystyle A\subseteq C} Antisymmetry: If A ⊆ B {\displaystyle A\subseteq B} and B ⊆ A {\displaystyle B\subseteq...

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...

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

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...

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

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

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

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

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

to the Bianchi identity below. The first two should be addressed as antisymmetry and Lie algebra property respectively, since the second means that the...

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...

n-dimensional array. The key defining property of the symbol is total antisymmetry in the indices. When any two indices are interchanged, equal or not,...

following hold: reflexivity: ⁠ A ⊆ A {\displaystyle A\subseteq A} ⁠ antisymmetry: ⁠ A ⊆ B {\displaystyle A\subseteq B} ⁠ and ⁠ B ⊆ A {\displaystyle B\subseteq...

coordinatewise domination. In economics, one may relax the axiom of antisymmetry, using preorders (generally total preorders) instead of partial orders;...

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

measure Greek μέτρον (métron) anemometer, anemometric, antisymmetric, antisymmetry, asymmetric, asymmetry, axonometric, barometer, barometric, bathometer...

"≤" 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...