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If f is a relation between the sets S and Twith s Є S, t Є T, and (s, t) Є f, then f is defined as a function from S into T if, and only if, s is f-related to one specific t. If this is the case, t can be expressed as a function of s via the notation t = f(s).
See the related links for the definitions of relation and f-related as well as the definition of the special types of functions called metrics and sequences.
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Describe the defining characteristics of piecewise functions?
A piecewise defined function is a function which is defined symbolically using two or more formulas
What is the difference between well-defined and not well- defined sets?
well-defined sets are sets that can identify easily while not well-defined are those that cannot determined easily :)
What are concepts of sets?
set is a collection of well-defined object.
How is a relation between two sets defined?
A relation between two sets is defined to be any subset of the two set's Cartesian product. See related links for more information and an example.
Define sets in maths?
A set is a collection of well-defined and distinct objects.
