An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
Yes. The set of functions is a subset of the set of relations.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
The relation, between two sets of objects, is a mapping which associates elements of the first set to those of the second set.
No, it is not.
It is the set on which the relation is defined to the set which is known as the range.
If a set of ordered pairs is not a relation, the set can still be a function.
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
A set of ordered pairs is a relation. Or Just simply "Coordinates"
A relation is a set of ordered pairs
It is the domain of the relation.
The set of output values of a function or relation is the range
An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
A relation R is a set A is called empty relation if no element of A is related to any element of R
The Range is the set of all possible output values of a function or relation.
Yes. The set of functions is a subset of the set of relations.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...