Well the one definition of asymmetric is: anything that fails to be symmetric.
So a possible sentence if your working with math could be:
The equation is clearly asymmetric.
No it is not.
An antisymmetry is the mathematical condition of being antisymmetric.
Symmetric wave functions remain unchanged when particles are exchanged, while antisymmetric wave functions change sign when particles are exchanged.
An antisymmetrization is an act of making something antisymmetric.
A bivector is a mathematical term for an antisymmetric tensor of second rank.
Yes, identical fermions have antisymmetric wavefunctions. Identical bosons have symmetric -- look up Spin Statistics in any Standard Field Theory text.
Yes they can be, the two definitions are not related.
An antisymmetric relation on a set is a binary relation ( R ) such that if ( aRb ) and ( bRa ) then ( a = b ). For a set with ( n ) elements, there are ( n(n-1)/2 ) pairs where ( a \neq b ), and each of these pairs can independently be included or excluded from the relation. Additionally, each element can relate to itself, contributing ( 2^n ) possibilities for self-relations. Therefore, the total number of antisymmetric relations is ( 2^{n(n-1)/2} ).
It is a partially ordered set. That means it is a set with the following properties: a binary relation that is 1. reflexive 2. antisymmetric 3. transitive a totally ordered set has totality which means for every a and b in the set, a< or equal to b or b< or equal to a. Not the case in a poset. So a partial order does NOT have totality.
It in symmetry with sentence a is what? What is a sentence with symmetry in it? This sentence with symmetry is symmetry with sentence this.
It is the first sentence of a paragraph which is the topic sentence.
Who or what the sentence is about is the subject of the sentence.