Definition of equivalence relation in English:
nounMathematics & Logic
A relation between elements of a set that is reflexive, symmetric, and transitive. It thus defines exclusive classes whose members bear the relation to each other and not to those in other classes (e.g., “having the same value of a measured property”).
- We are almost ready to define an equivalence relation between hyperreal numbers.
- In The classification of prime-power groups Hall introduces an equivalence relation called isoclinism to aid the classification of prime power groups.
- You can't have a classification without an equivalence relation, and one of the three defining properties of an equivalence relation is transitivity.
Definition of equivalence relation in:
- British & World English dictionary
What do you find interesting about this word or phrase?
Comments that don't adhere to our Community Guidelines may be moderated or removed.
Most popular in the US
Most popular in the UK
Most popular in Australia
Most popular in Malaysia
Most popular in Pakistan