Question

Mathematical Identities are sometimes indicated by the triple bar ----- when and why ??

Answer 1

Answer on Question #51691 – Math - Abstract Algebra

Mathematical Identities are sometimes indicated by the triple bar --- when and why ??

Solution

In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being "equivalent" in some way. Let $a$, $b$, and $c$ be arbitrary elements of some set $X$. Then "$a \sim b$" or "$a \equiv b$" denotes that $a$ is equivalent to $b$.

If $a \Rightarrow b$ and $b \Rightarrow a$, then $a$ and $b$ are said to be equivalent, a relationship which is written symbolically in this work as $a \equiv b$.

An equivalence relation "$\equiv$" is reflexive, symmetric, and transitive.

Examples:

1 Dollar is equivalent to 100 cents

120 seconds is equivalent to 2 minutes

www.AssignmentExpert.com