Sentence examples for summation expressions from inspiring English sources

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

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.

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.

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.

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).

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).

(Euler Maclaurin summation formula).

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

The tiling expression data [14] for the test sets (86 validated Arabidopsis miRNA targets representing 25 of 27 miRNA families; all MIRNA genes) and control (125 paralogs representing 16 families; Datafile S2) were normalized such that summation of expression values for a sample becomes 1 before they were applied to SVM.

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

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