Mathematical English Usage - a Glossary

by Jerzy Trzeciak

determine

[see also: decide, settle]

This normalization determines V uniquely.

The function f (initially defined on C0) determines a functional on S.

......, where G is uniquely determined up to unitary equivalence <up to an additive constant>.

Note that f is determined only to within a set of measure zero.

The order of G is completely determined by the assumption that......

We conclude that whether a space X is an RG-space is not determined by the ring structure of C(X).

The semigroup F can be explicitly determined.

Let us now take a quick look at the class N, with the purpose of determining how much of Theorems 1 and 2 is true here.


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