Sentence examples for there existed a unique from inspiring English sources

The result was the embrace of the problematic notion that there existed a unique and enduring set of intrinsically "Japanese" cultural values that shared nothing with the ethos of individualism that characterized Western societies.

For any with, there exists a unique such that ( and ).

for all, then there exists a unique homomorphism satisfying (2.34).

By Theorem 3.2, there exists a unique solution to.

So, by Theorem 2.5, there exists a unique such that.

If, then there exists a unique such that and.

Using Example 3.1, there exists a unique Hermitian matrix solution.

Using Lemma 1.4, there exists a unique element such that.

From Lemma 3.2, there exists a unique solution of (3.19).

Moreover, if, then there exists a unique such that.

Then, for some there exists a unique solution (2.147).