Sentence examples for assuming solutions from inspiring English sources

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Assuming solutions of the form x ∼ sin k w z and y ∼ cos k w z and v z ≅ v | |, we will find the steady-state solutions v x = v w cos k w z and v y = v w sin k w z, where v w = k w v | | 2 Ω w ω i 2 - ω b 2 1 + v | | 2 v | | 2 c 2 c 2 + k w v | | Ω 0 - k w v | |. (23).

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To prove the uniqueness, we need to derive the various estimates for assumed solution.

EMO originates from the electro-magnetism theory of physics by assuming potential solutions as electrically charged particles which spread around the solution space.

Considering such systems, we do not discuss questions of existence of solutions and assume that solutions to these systems exist.

Being open to outside influences is crucial, he says, but he cautions against being over simplistic in assuming that solutions to difficulties always lie in the private sector.

Assuming the solutions of Eqs.

Well, assuming the solution is a WRITER, that leaves us with THE EGO.

Exceptions included LeuAlaGlyValIle and LeuTyrGlyCysIle modifications, which were predicted, assuming full solution exposure, to be more hydrophobic than observed.

Assuming regular-solution behaviour (i.e., SE = 0), an equation may be derived relating Gibbs energy, Avogadro's number, interchange energy, and mole fractions.

The method relies upon assuming the solution in the form of a Fourier series and applying the harmonic balance method.

This method allows for a near continuous monitoring of loading rate and produces data that can be analyzed assuming infinite solution volume conditions.

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