Sentence examples for exists a continuous from inspiring English sources

"Topologically equivalent," or homeomorphic, means that there exists a continuous one-to-one mapping, which is a generalization of the concept of a function, between two sets.

(i)  There exists a continuous function  :  such that (2.19).

(Hkl Suppose there exists a continuous function     such that.

There exists a continuous function (d(t geq0) for a.e.

There exists a continuous impulse mapping (I: I(M =N).

Since holds, there exists a continuous function such that for all.

Since is contractible, there exists a continuous mapping such that and.

and there exists a continuous nonnegative function such that If (3.2).

From Lemma 2.7, there exists a continuous, strictly increasing, and convex function with such that.

Then, there exists a continuous, strictly increasing, and convex function such that and (2.7).

Then there exists a continuous, strictly increasing, and convex function with such that (1.22).