Sentence examples for more general derivations from inspiring English sources

If these counts are denoted X A and X a, respectively, a chi-squared test on one df may be calculated as follows: More general derivations [ 19- 21] lead also to a two-df test against the wider class of alternative hypotheses, by comparing transmissions of genotypes from parent to affected offspring against expected frequencies based on Mendelian transmission.

We now suggest a more rigorous and general derivation of the reduction of the coherence length: it is related to the decrease of the quantum correction (19) with the decrease of ϵ, as implied by the E ϵ -estimate.

In the derivation, for more general problems, the assumption used in [9] that the optimal solution is unique to prove the convergence could be eliminated.

A similar transport equation has been derived previously, but a more general expression is obtained through the present derivation.

Some of our derivations are even more general; they are given in terms of and and can be evaluated for any modulation scheme.

A secondary aim is for this model to serve as proof of concept for derivation of a more general congenital heart disease prognostic model, of which the VSD model will be the first component.

In this paper, we make several derivations to achieve the more general CDF approximation of the PAPR in the sense that transmitted symbols can be carried by any family of functions.

An asymptotic representation of the solution of (3) as y→∞ can therefore be derived from the more general representation (4.19) of W in (Corless et al. 1996) if one reads (3) as w e w =y 2. Our derivation of the particular result needed here, however, is much more elementary than the general one given in the paper just mentioned.

Note that similarly as in [33] the signal attenuation is taken into account in order to obtain more general noise statistics than in [31], but we correct the derivation errors in [33].

Firstly, the time-continuous case is relatively rarely considered in the literature; secondly, the derivation of our modification needs a slightly more general formulation than it is standard for the discrete-time filter; and lastly, the comparison of our modified version with the standard case might more clearly reveal the differences between the two approaches.

For completeness, we present an alternative derivation of these results that helps interpret the more general results presented below.