Sentence examples for There exist points from inspiring English sources

From Theorem 3.4, there exist points such that, and.

By hypothesis there exist points in such that, and.

By hypothesis and Hurwitz's theorem [14], for sufficiently large there exist points, such that (3.5).

By hypothesis there exist points in such that and Therefore by (2.15) we have (2.16).

Let there exist points converging to and converging to, such that (1.3).

By hypothesis there exist points in such that, and Also, First we show that.

So there exists points and such that,, for and for.

If is not subordinate to, then there exists points and, for which, (2.7).

Now, take any point Then there exists point such that (4.34).

Now, take any point Then there exists point such that By using monotonicity of the map we obtain (4.10).

That is, in geometrical speaking, there exist turning points on the critical curve.