Math Wiki

Equivalence relation

1,016pages on
this wiki
Add New Page
Talk0 Share

When you are talking about of an relation, you gotta to think that this is inter two given sets. So a relation R inter set A and a set B is a subset of their cartesian product:

R\subseteq A\times B

An equivalence relation in a set A is a reation R\subseteq A\times A i.e. a endo-relation in a set, which obeys the conditions:

An example is used when we use sum of fractional numbers. Here a rational number can be represented of several different fractions, so by taking the fractions having a common denominator we can simplify the result.

Ad blocker interference detected!

Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.