Sentence examples for applying the variation from inspiring English sources

Finally, we establish the existence of at least three solutions in Orlicz-Sobolev spaces applying the variation principle.

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

By applying the variation of the functional, integrating each term by parts, and making use of the variation optimum condition of the functional J ( v ), it yields the following expression: − 2 c 1 v x t ( x, t ) − c 2 a ( p + 2 ) v x p ( x, t ) v x x ( x, t ) − 2 c 3 b v x x x x ( x, t ) = 0. (7).

Thus, it is possible to construct a chain, or hierarchy, of difference boundary value problems where the successive links in the chain are obtained by applying the variations of (2.1) given in this paper.

The result follows by applying the variation-of-constants formula several times and from the Lipschitz continuity of b, see the proof of Theorem 1.

It removes the glitch from the feedback signal and sets a flag, which allows to apply the variation simultaneously to the overflow/underflow.

We also proposed the electrical resistance charts of aluminum wire conductor that can be applied the variations into the electronic circuit and system simulation software (such as SPICE, PSPICE, etc). to produce access simulations of the electrical circuits in package design.

The mass and stiffness distribution is optimized by applying the Lagrange variation method on the FPM solution yielding Fredholm integral equations.

In summary, we have demonstrated that next-generation sequencing approaches applying the cSBL variation will be able to produce longer read lengths relative to standard SBL.

With a purposive sampling method applying the maximum variation technique, 17 college students diagnosed and recorded as PTB patients by district CDC or designated hospital participated in the study.

By applying the same variations to electronically generated tones, he was able to produce robotlike but intelligible speech.