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Exact(60)
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.
By the continuity of g, we have G is continuous.
Then, by the continuity of ϕ u ( t ), η n ( u ) is continuous.
On the other hand, by the continuity of f we know the operator G is continuous.
By the continuity of functions f and g, the operator T is continuous.
By the continuity of g and h, we can see that F 1 is continuous.
"The city's future and reputation will be enhanced by the continuity of Test and international cricket at Headingley".
By the continuity of, we have (3.12).
By the continuity of and, we have.
By the continuity of, we know that.
More suggestions(18)
by the durability of
by the continuation of
by the continuance of
by the prosecution of
by the consistency of
by the succession of
by the permanence of
by the action of
by the passing of
by the time of
by the color of
by the end of
by the government of
by the importance of
by the judgment of
by the company of
by the age of
by the evening of
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com