Formulation
A function supported in Y must vanish in X \ Y. For instance, f with domain X is said to have finite support if f(x) = 0 for all but a finite number of x in X. Since any superset of a support is also a support, attention is given to properties of subsets of X that admit at least one support for f. When the support of f (written supp(f)) is mentioned, it may be the intersection of all supports, {x in X: f(x) ≠ 0} (the set-theoretic support), or the smallest support with some property of interest.
Read more about this topic: Support (mathematics)
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The formulation was used as a motto by the English Nonconformist clergyman Richard Baxter (1615-1691)
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