The difference between Identity function and Inclusion function
When used as nouns, identity function means a function whose value is always the same as its independent variable, and for which the codomain equals the domain, whereas inclusion function means a function whose domain is a subset of its codomain, and for which all of the elements in its domain are fixed points.
check bellow for the other definitions of Identity function and Inclusion function
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Identity function as a noun (mathematics):
A function whose value is always the same as its independent variable, and for which the codomain equals the domain.
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Inclusion function as a noun (mathematics):
A function whose domain is a subset of its codomain, and for which all of the elements in its domain are fixed points.