Sentence examples for proof can be adapted from inspiring English sources

The proof can be adapted from [11], Theorem 2.2(c).

Let us first review how this is done for autonomous basins, before we look at how this proof can be adapted to the non-autonomous setting.

Inspired by the treatment proposed in [6], we try to refine the results in [3 5] via majorization theory, where the proof procedure can be adapted to a great number of design criteria, as long as their objective functions are Schur-concave or Schur-convex [7 9].

There is little proof that this model can be adapted to psychiatry.

The proof of Theorem 1 can be adapted to imply Proposition 1.

The proof of Lemma 2.2 can be adapted directly from that of [2], Proposition 4.2.6, p.117, and, as with that of Lemma 2.1, is given in the Appendix.

Andrews and Li [4] observed that the proof of Theorem 3.8 can be adapted to show that any embedded constant mean curvature surface of genus (1) is rotationally symmetric.

The proofs of such results can be adapted from the techniques used in [18] (also see the references therein).

This proof of concept that laccases can be adapted to function in extreme conditions opens an array of opportunities for implantable nanobiodevices, chemical syntheses, and detoxification.

But he also says that the proof of the indefinability theorem can be adapted to show that, in general, one cannot define a truth predicate "if the order of the metalanguage is at most equal to that of the language itself" (Tarski 1983b, p. 273).

For example, the proof of Almgren's theorem (Theorem 3.1) can be adapted to show that an immersed constant mean curvature surface in (S^3) of genus (0) is a geodesic sphere.