Antisymmetrisyys
Antisymmetrisyys, often translated as antisymmetry, is a property that can be observed in various mathematical and scientific contexts. In mathematics, a binary relation R on a set A is antisymmetric if for any elements a and b in A, whenever R(a, b) and R(b, a) are both true, then it must be that a = b. This means that if two distinct elements are related to each other in both directions, the relation is not antisymmetric. A common example of an antisymmetric relation is the "less than or equal to" relation ($\le$) on the set of real numbers. If $a \le b$ and $b \le a$, then it must be that $a = b$. Conversely, if $a < b$, then it is not true that $b \le a$.
In linear algebra, an antisymmetric matrix (or skew-symmetric matrix) is a square matrix A for which its
The concept of antisymmetry also appears in physics, particularly in quantum mechanics. For instance, the wave