Sentence examples for for any given -tuple from inspiring English sources

For any given -tuple satisfying (21).

for all, where is an any given positive real number.

Suppose that and belong to, we say that if for any given, we have for all ordered -tuples,.

What is best for any given spot?

For any given, hence.

For any given,.

for any given and.

The order varies for any given year.

For any given, let (4.3).

For any given, we can choose such that for any,.

For any given, the sequence defined by  .