Sentence examples for there exists a function from inspiring English sources

Therefore, according to Theorem 2.2, there exists a function such that the sequence converges to and.

As a consequence there exists a function (uin L^{frac{(beta +1)2_{s}^{2}}(Omega)).

Since is a -distance on, there exists a function satisfying (u2) ~(u5) and satisfies (u1).

for all. is continuous and there exists a function such that.

Since is a -distance on, there exists a function satisfying (u2) (u2).

If and, then there exists a function, which provides a solution to (3.9).

Hence, according to [22, Theorem ], there exists a function satisfying (1.6) and inequality (3.1), with.

Then there exists a function satisfying (2.10).

There exists a function g s.t.

If there exists a function such that (4.114).

Furthermore, assume that there exists a function such that (3.18).