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What is the largest equivalence relation on a set A?
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.
Can you have a relation that is not a function?
Yes. The set of functions is a subset of the set of relations.
What is the term use to to describe any set of ordered pairs?
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
What is the best definition of a relation in math?
The relation, between two sets of objects, is a mapping which associates elements of the first set to those of the second set.
Is the divides relation on the set of positive integers symmetric?
No, it is not.
What is the domain of a relation?
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 can the set still be a function?
If a set of ordered pairs is not a relation, the set can still be a function.
What is The relation is the set of output values for the relation?
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.
What is a set of ordered pairs is called?
A set of ordered pairs is a relation. Or Just simply "Coordinates"
What is a relation in math terms?
A relation is a set of ordered pairs
What is the set of all x values in a relation?
It is the domain of the relation.
The set of output values of a function or relation?
The set of output values of a function or relation is the range
What is the largest equivalence relation on a set A?
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.
What is an empty relation?
A relation R is a set A is called empty relation if no element of A is related to any element of R
What is the set of all possible output values of a function or relation?
The Range is the set of all possible output values of a function or relation.
Can you have a relation that is not a function?
Yes. The set of functions is a subset of the set of relations.
What is the term use to to describe any set of ordered pairs?
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
