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.
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.
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 is the first sentence of a paragraph which is the topic sentence.
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.
Who or what the sentence is about is the subject of the sentence.
The subject of a sentence is who or what that sentence is about.
Who or what the sentence is about is the subject of the sentence.