Sentence examples for summation expression from inspiring English sources

The second moment (μ 2) of f(x) about the x-mean is known as the variance, and can be solved as a summation expression by following a similar development as in Eqs.

Based on the method developed, the rotation response at the end of each shaft as well as the internal rotation and internal torque response of the system can be efficiently calculated by computer due to the summation expression in the derived formula.

Therefore, similar to the H −1 case and following the methodology in [13], a similar summation expression is obtained for (phantom {dot {i}!}C_{H^{-1}_{zeta }}), with the denominator of the summation now corresponding to the discretization of the oriented Laplacian in the frequency domain instead of the discretization of the plain Laplacian in the frequency domain.

Section 3 provides finite summation expressions and the resultant performance analysis of CC-CDMA using different combining schemes.

In the case of Maxwellian molecules, the Wild summation formula gives an expression for the solution of the spatially homogeneous Boltzmann equation in terms of its initial data F as a sum f v,t)="∑n="1∞e-t 1-e-t n-1Qn+(F)(v).

We then performed a summation of expression for all possible transcripts of a TF to generate gene-probe level expression data.

Further setting (t=-w/uvb) in the consequent expression, we get the following summation formula, which returns to the q-Gauss sum (7) when (a=1).

However, the effect of random summation of expression signals reported in the present paper is a drastically different story.

Resulting from the summation of expression intensities over a random number of individual cells, the observed signals may not adequately reflect the true dependence structure of intra-cellular gene expression levels needed as a source of information for network reconstruction.

(Euler Maclaurin summation formula).

The summations in Expressions 6, 7 and 9 should only account for the number of non missing markers, L - m.