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} ).
The number is 5! = 120
when the signals are symmetric then this signals are gaussian In statistics, the Gaussian curve, also known as the Normal curve, is symmetrical.
Symmetric
yes, it is both symmetric as well as skew symmetric
Symmetric wave functions remain unchanged when particles are exchanged, while antisymmetric wave functions change sign when particles are exchanged.
Yes, identical fermions have antisymmetric wavefunctions. Identical bosons have symmetric -- look up Spin Statistics in any Standard Field Theory text.
For lithium with identical electrons, the ground state wave function is a symmetric combination of the individual electron wave functions. This means that the overall wave function is symmetric under exchange of the two identical electrons. This symmetric combination arises from the requirement that the total wave function must be antisymmetric due to the Pauli exclusion principle.
The number is 5! = 120
2^32 because 2^(n*(n+1)/2) is the no of symmetric relation for n elements in a given set
No it is not.
An antisymmetry is the mathematical condition of being antisymmetric.
when the signals are symmetric then this signals are gaussian In statistics, the Gaussian curve, also known as the Normal curve, is symmetrical.
An antisymmetrization is an act of making something antisymmetric.
A bivector is a mathematical term for an antisymmetric tensor of second rank.
private key
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0