Sentence examples for exists unique from inspiring English sources

There exists unique such that.

Since is continuous, there exists unique such that.

Since is increasing for, we get that there exists unique constant such that (2.17) holds.

There exists unique microphone pairs in the set of all pairs.

Then has a unique coupled fixed point in ; that is, there exists unique such that and.

That is, there exists unique ( x, y ) ∈ X × X such that F ( x, y ) = x and F ( y, x ) = y.

This indicates that there exist unique solutions of B and y that maximize the annual profit.

Then there exist unique mapping and from to such that is additive, is quadratic, and (3.39).

In that same work (1903, Sections 139 147), Frege criticized the mathematical practice of introducing notation to name (unique) entities without first proving that there exist (unique) such entities.

for all By the proof of Theorem 2.5, there exist unique additive mappings satisfying (3.7) and (3.9).

It follows that there may exist unique molecular determinants of chemokinesis that are separate from those that regulate chemotaxis.