= Function class
A <function class> is a <set> whose elements are <functions>, usually with a common <domain of a function> and <codomain>. For example,
$$
\mathcal F=\{f_c:\mathbb R\to\mathbb R:f_c(x)=c,\ 0\leq c\leq1\}
$$
is a class of <constant functions>. A <function class> need not be a <vector space>: here $f_1+f_1$ has constant value two and lies outside $\mathcal F$.
An individual member is a <function>, or <map>; the class collects such members. This keeps statements about one transformation distinct from statements about a family of possible transformations.
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