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The definition of antisymmetry says nothing about whether actually holds or not for any . An antisymmetric relation R {\displaystyle R} on a set X {\displaystyle X} may be reflexive (that is, a R a {\displaystyle aRa} for all a ∈ X {\displaystyle a\in X} ), irreflexive (that is, a R a {\displaystyle aRa} for no a ∈ X {\displaystyle a\in X ...
In linguistics, antisymmetry is a syntactic theory presented in Richard S. Kayne's 1994 monograph The Antisymmetry of Syntax. [1] It asserts that grammatical hierarchies in natural language follow a universal order, namely specifier-head-complement branching order. The theory builds on the foundation of the X-bar theory.
Antisymmetric or skew-symmetric may refer to: . Antisymmetry in linguistics; Antisymmetry in physics; Antisymmetric relation in mathematics; Skew-symmetric graph; Self-complementary graph
Dichromatic triangle illustrating colour symmetry. Dichromatic symmetry, [1] also referred to as antisymmetry, [2] [3] black-and-white symmetry, [4] magnetic symmetry, [5] counterchange symmetry [6] or dichroic symmetry, [7] is a symmetry operation which reverses an object to its opposite. [8]
Nevertheless, CEM's assumptions are very common in mereological frameworks, due largely to Leśniewski influence as the one to first coin the word and formalize the theory: mereological theories commonly assume that everything is a part of itself (reflexivity), that a part of a part of a whole is itself a part of that whole (transitivity), and ...
Dynamic antisymmetry and labelling: the principle of Dynamic antisymmetry has also been interpreted in computational terms. More specifically: when two XPs are Merged and neither one follows the projection principle , then the structure cannot be computed unless either one moves, thereby forcing the other to project.
As the term "part" suggests, a tensor is the sum of its symmetric part and antisymmetric part for a given pair of indices, as in ...
I believe there is a cycle in the definitions: Equality is defined as binary relation which is reflexive, symmetric transitive and antisymmetric. The definition of antisymmetry refers to the notion of equality (a R b and b R a => a = b). I don't know how to fix this. cheers, chris The '=' above is identity, not equality. Identity is primitive ...