Sentence examples for continuity arguments from inspiring English sources

Theorem 1.1 follows from Propositions 2.1-2.2 and standard continuity arguments.

The non-negativity of R ( t ) ∀ t ∈ [ 0, t f ] is proven by using continuity arguments.

This objective is tackled with the help of continuity arguments and a variant of the maximum principle.

Historical continuity arguments fail to account for significant interruptions in performance, and the lack of a corresponding "return to normal" in other nations with long histories.

Using a simple power-law expression to describe the drainage velocity through the foam, and in conjunction with continuity arguments, a theoretical framework was developed to analyse the performance of the vertical column.

Thus, for all σ 2 ≤ σ 0 2, the LMS attractors, q σ2,0), by continuity arguments of Theorem 5 will be close to that of the WFs, q σ2,η w ).

In this paper, we utilize the compatibility of the potential with the natural working space Σ to get the controllability of the Schrödinger equation in Σ; and then employ the energy decomposition technique together with the continuity argument to derive the well-posedness of the perturbation equation and the continuous dependence of the solution on the initial data in the natural space Σ.

The continuity argument does ring true.

Such historical empathy leads naturally to the continuity argument.

Not only did China put in a stuttering display – they were clinging on by the skin of their teeth by the end – but one of those three new faces, Sun Ke, scored twice, leaving the whole "continuity" argument somewhat confused.

Adams may be interpreted as providing two arguments, the first being the continuity argument used above.