Sentence examples for by a simple derivation from inspiring English sources

The following equation is produced by a simple derivation from Eq. (5) and shows the IIA property of multinomial logit model: frac{{{varvec{P}}_{ni} }}{{{varvec{P}}_{nj} }} = frac{{exp (beta_{n} {varvec{x}}_{ni} + alpha {varvec{y}}_{ni} )}}{{exp (beta_{n} {varvec{x}}_{nj} + alpha {varvec{y}}_{nj} )}},;;i ne j,;i,;;j in J. (6).

Borderies, N. & Goldreich, P. A simple derivation of capture probabilities for the j+1:j and j + 2 j orbit-orbit resonance problems.

See See Planetary skin for a simple derivation of the temperature at the top of the atmosphere.

In any spectroscopic method, pre-treatment, like a simple derivation, can strongly improve information extraction from data.

This paper presents a simple derivation of the two inventory policies proposed by [Jamal, A. A. M., Sarker, B. R., & Mondal, S. (2004). Optimal manufacturing batch size with rework process at single-stage production system. Computers and Industrial Engineering, 47(1), 77 89.].

The main drawback is that forces and torques cannot be calculated using a simple derivation.

We give a simple derivation of these terms in different settings using asymptotic analysis.

A simple derivation leads to, This system of equations seems hard to solve.

Although equipartition provides a simple derivation of the ideal-gas law and the internal energy, the same results can be obtained by an alternative method using the partition function.

The use of the shallow shell theory model leads to a simpler derivation of the same result.

Next, the criterion for uncertain nonlinear systems with parameter uncertainties is obtained by simple derivation.