Sentence examples for variation of linked from inspiring English sources

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These studies used different methods for the identification of "classical selective sweeps", i.e. the processes in which beneficial mutations arise and rapidly increase in frequency while simultaneously reducing or eliminating the variation of linked neutral sites [ 5, 6].

In light of the public outcry, however, she's overhauled the app, paring it back to what is, in essence, a variation of LinkedIn's professional endorsements.

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We prove this result by the critical point theory and the variation of linking method.

Now, we recall a variation of linking theorem of the existence of critical levels for a functional.

("A Variation of Linking") Let × be an Hilbert space, which is topological direct sum of the subspaces X1and X1and

We shall prove Theorem 1.1 by applying the variation of linking method (cf. Theorem 4.2 of [8]).

In section 3, we prove Theorem 1.1 by using the critical point theory and variation of linking method.

In [2], Micheletti and Pistoia showed that (1.1) admits at least two solutions by a variation of linking if f ( x, u ) is sublinear.

In [13], Micheletti and Pistoia showed that ( P 1 ) admits at least two solutions by a variation of linking if f ( x, u ) is sublinear.

When (lambdageq lambda_{1}^{s}) (where (lambda_{1}^{s}) denotes the first eigenvalue of the operator ((-Delta)^{s}) in Ω with homogeneous Dirichlet boundary data), we prove the existence of a sign-changing solution by using a variation of linking type theorems.

By Lemma 3.3, we also have inf w ∈ Δ R k + n - ( e 1, H k + n ⊥ ) F ( w ) > - ∞ Thus by the variation of linking theorem, there exists at least two nontrivial solutions of (2.2).

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