Sentence examples for derived the necessary from inspiring English sources

The authors have derived the necessary elastic constants to hasten this transformation.

We derived the necessary and sufficient conditions that the distributions have to satisfy so as to yield the optimal linear classifier as a pair of straight lines.

Adopting the idea of the perturbation theory of traditional celestial mechanics and taking the low-thrust as a perturbation, in the sense of fist-order approximation, we have derived the necessary condition for the successful transfer of two Kepler orbits in the given time under the action of low-thrust.

Liu [5] derived the necessary conditions and duality for non-smooth, non-linear multiobjective fractional programming problems.

Using Singh's results, Lee and Ho [20] derived the necessary optimality conditions for the efficiency to multiobjective fractional programming problems.

In [2], Singh derived the necessary conditions for efficient optimality of differentiable multiobjective programming under a constraint qualification.

For the constructive feedback control design procedure we derive the necessary Riccati-formalism and propose an implementable solution algorithm.

The problems involved in deriving the necessary simulation parameters from data banks, correlations or lab-scale experiments are discussed.

For the constructive feedback control design procedure we derive the necessary hybrid Riccati-formalism and propose an implementable solution procedure.

He was so far ahead of the other applicants, the director wrote, that Mr. Hersch might not "derive the necessary benefit you would expect from a course at this stage in your development".

An analytical investigation based on the direct use of the governing equations of the systems is undertaken to derive the necessary scaling laws and similarity conditions.