Sentence examples for exist functions from inspiring English sources

Since, there exist functions and such that.

There exist functions and such that (1.3).

Assume there exist functions with (3.6).

If there exist functions, defined on, and a function satisfying.

Assume also that there exist functions such that (1.13).

Suppose that there exist functions,, 2,, such that (3.16).

Suppose further that there exist functions, such that (iv).

Furthermore, assume that there exist functions,, where such that (2.71).

According to Theorem 2.1, there exist functions such that (3.20).

Assume that Further, there exist functions and such that (2.21).

Assume that and there exist functions and such that (210).