Sentence examples for by continuity of from inspiring English sources

BY continuity of T, (Tx_{n}to Tz) as (ntoinfty).

By continuity of the functions (f_{i}) ((i=1,2)), the operator T is continuous.

By continuity of functions f and g, the operator T is continuous.

By continuity of functions f and g, the operator (mathcal{T}) is continuous.

By continuity of the functions (f_{1}) and (f_{2}), the operator T is continuous.

Homology is correspondence between features caused by continuity of information.

Therefore, by (ii) By the continuity of the index function on we get.

The operator (mathcal{H}_{1}) is continuous by the continuity of f.

It is easy to get that A is continuous by the continuity of f.

Now by the continuity of and by Corollary 3.9, we have (4.5).

Finally, by the continuity of  ,,,,  and and by Algorithm 3.3, it follows that (332).