An antisymmetry is the mathematical condition of being antisymmetric.
antisymmetry is a theory of syntactic linearization presented in Richard Kayne's 1994 monograph The Antisymmetry of Syntax.[1]
Keith Tayler has written: 'Symmetry and antisymmetry' -- subject(s): Polarity, Symmetry
an FIR filter has linear phase characteristic, if coefficient symmetry (or antisymmetry) with respect to h(N/2) applies. ex: h(n)={c0,c1,c2,c3,c4,c5,c6}, then the corresponding FIR filter would have linear response if: c0=c6, c1=c5, c2=c4.
The order relation property refers to a binary relation that allows for the comparison of elements within a set, establishing a sense of order among them. In mathematics, particularly in order theory, an order relation can be either a total (or linear) order, where every pair of elements is comparable, or a partial order, where some pairs may not be. Common properties of order relations include reflexivity, antisymmetry, and transitivity. These properties help define how elements are organized or ranked in relation to one another.
A partial order relation is a binary relation over a set that is reflexive, antisymmetric, and transitive. This means that for any elements (a), (b), and (c) in the set, (a \leq a) (reflexivity), if (a \leq b) and (b \leq a) then (a = b) (antisymmetry), and if (a \leq b) and (b \leq c), then (a \leq c) (transitivity). An example of a partial order is the set of subsets of a set, ordered by inclusion; for instance, if (A = {1, 2}) and (B = {1}), then (B \subseteq A) illustrates the relation (B \leq A).