Sentence examples for multiple summations from inspiring English sources

We extend existing segregation indices based on Euclidean distance (square of coefficient of variation) and Boltzmann/Shannon/Theil index from two-way to multi-way contingency tables by including multiple summations.

As a consequence, analysis similar to that leading to eqs 11.20– 11.22 provides a rate constant with multiple summations: two sums on proton states of eq 11.6 and two sums per each pair of proton states as in eq 11.20 or 11.22.

Multiple Point Source Summation (MPSS) Model was used to estimate UV light intensity field in this processing chamber.

This algorithm can be applied to generation of multiple traps by summation of holograms, however this method is not the best as the intensities of generated traps might vary and phantom traps can appear.

The restriction to the Banach spaces stems from the fact that the method of our proof requires multiple application of summation by parts and proceeding to the limit of a Cauchy sequence, which may be done in a straightforward way in any Banach space.

Summation of multiple input distribution.

The algorithm introduced in this paper permits efficient data fusion from multiple sensors through a summation style fusion architecture.

Further, rigorous mathematical manipulations have been carried out based on the theory of summation of multiple expansion series containing the hypergeometric functions.

For this purpose, the kinetic field around the contact ends is partitioned into a summation of multiple terms, each one expressed as the product between nonlocal intensity factors, Is,Ia,Ic, depending on the macroscopic loads applied to the mechanical assembly, and spatial reference fields, d s,d a,d c, depending on the local geometry of the part.

Therefore, the part length is quantified as the summation of multiple lengths of sub-hops.

Please note the aspect of summation over multiple directions in Eqs.