The use of intervals for the range or domain of a function is very common.
2.
This is term has pretty general application, see Domain of a function # Formal definition.
3.
This means that it is not worthy to explicitly define the domain of a function of a real variable.
4.
This means that it is not worthy to explicitly define the domain of a function of several real variables.
5.
The domain of a function of several real variables is a subset of that is sometimes, but not always, explicitly defined.
6.
The domain of a function of several real variables is a subset of ! that is sometimes, but not always, explicitly defined.
7.
For example in set theory it is desirable to permit the domain of a function to be a proper class, in which case there is formally no such thing as a triple.
8.
Are equal, as functions on Church numerals . ( Here we encounter a technical weakness of the untyped lambda calculus : there is no way to restrict the domain of a function to the Church numerals.
9.
In fact, if one restricts the domain of a function to a subset, one gets formally a different function, the " restriction " of to, which is denoted " Y " } }.
10.
Near a local maximum in the interior of the domain of a function, the function must be concave; as a partial converse, if the derivative of a strictly concave function is zero at some point, then that point is a local maximum.
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