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Is the divides relation on the set of positive integers antisymmetric?
No it is not.
What is an antisymmetry?
An antisymmetry is the mathematical condition of being antisymmetric.
What is the difference between symmetric and antisymmetric wave functions?
Symmetric wave functions remain unchanged when particles are exchanged, while antisymmetric wave functions change sign when particles are exchanged.
What is an antisymmetrizer?
An antisymmetrization is an act of making something antisymmetric.
What is a bivector?
A bivector is a mathematical term for an antisymmetric tensor of second rank.
Is the total wave function of identical fermions is antisymmetric?
Yes, identical fermions have antisymmetric wavefunctions. Identical bosons have symmetric -- look up Spin Statistics in any Standard Field Theory text.
Can symmetric relations can also be antisymmetric relations?
Yes they can be, the two definitions are not related.
How many antisymmetric relations?
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} ).
What is a poset?
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.
What is a sentence with symmetry in it?
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.
The sentence that state the main idea of the paragraph?
It is the first sentence of a paragraph which is the topic sentence.
Who or what the sentence is about is what?
Who or what the sentence is about is the subject of the sentence.
