Sentence examples for extend the sum of from inspiring English sources

A straightforward way to include other types of expression sets is to extend the sum of squares in (4) over more data sets.

Without loss of generality, we can extend the sum from P to M by zero-padding the channel impulse response.

The efficient probability analysis method is extended for the sum of correlated non-normal random variables with correlation coefficients expressed by the power of a common value.

Additionally, as further work, we think the ideas in this article can be extended to the sum of nonlinear ratios optimization problems; for example, the numerator and denominator of each ratio in the objective function to problem (FP) are replaced with a generalized polynomial function, respectively.

In the event that the model contains correlated error covariance, the denominator is extended by twice the sum of the estimated error covariances omega = frac{{left( {b_{1} + cdots + b_{i} } right)^{2} }}{{left( {b_{1} + cdots + b_{i} } right)^{2} + theta_{1} cdots + theta_{i} + 2sumlimits_{j < k} {Cov(E_{j,} E_{k} )} }}, Raykov 2012).

These two groups of blocks are either cut or extended so that the sum of the lengths of all blocks in each region is twice the read length (Additional file 1: Figure S1A).

In this section, we extend the analysis of the sums of the products of two reciprocal Fibonacci numbers to alternating sums.

Our result generalises and extends previous results on the sum of squared logarithms inequality.

So this appears to support a picture of the 1901 letter where a very-much-in-love Einstein, in one letter, extended his conception of the sum of Albert and Mileva's endeavours to the product of the couple as a team.

Moreover, the design of the iterative algorithm is extended from finite case of the sum of m-accretive mappings and μ-inversely strongly accretive mappings to the infinite case.

The method of generalized quasilinearization for second-order boundary value problems has been extended when the forcing function is the sum of -hyperconvex and -hyperconcave functions.