Sentence examples for continuity of function from inspiring English sources

Note that continuity of function (property (e)) was not used.

The continuity of function f iε (i = 1, 2) also shows that (2.9).

From the continuity of function θ and hypothesis (HC3) and (HD), we have: (3.3).

This obviously contradicts the uniform continuity of function f x0, ω), where ω = ∑ I ω I dx I with -n ≤ ω I ≤ n for any I.

Then by (1.2) and the continuity of function, we have that and which leads to a contradiction and the proof of Theorem 2.2 is completed.

Moreover, for some ϕ 0 ∈ K 0 ∗, ( ϕ 0, V ( n, γ ) ) ≤ ψ n ( ϕ 0, P n − 1 γ ), which implies V ( n, 0 ) = 0 and the continuity of function V in the second variable at γ = 0.

I want to mention here just his use of homogenous variables, multiplicative forms and the continuity of functions under continuous change of the Riemannian surface and from his as yet unpublished article the general theorems about linear differential equations in a Riemannian class.

Firstly, the operator T is continuous in view of the continuity of functions (f t,u(t))) and (G t,s)).

By the continuity of functions f and g, 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.