Sentence examples for sum arises from inspiring English sources

The sum arises when the differences between theoretical and empirical values exist.

The solving equations involving very simple sums arise from the minimization of the functional.

That is, these sums arise in many areas of mathematics and also mathematical physics.

Finally, the results are used as a basis to guide the choice of methods of summing series arising from problems in fluid mechanics.

All problems are treated analytically using bounded Green's functions for thin elastic plates, a discrete Fourier transform solution method and simple, explicit and rapidly convergent evaluations of the one- and two-dimensional lattice sums that arise.

Upon computing E 1/2, the total energy of the lithium ion between two parallel graphenes E can be determined by the sum of the total energy arising from the upper and lower graphene sheets.

(The difficulty with using the sums of the means arises from different numbers of scorers, and scores varying in the comparisons, which obscures the distribution and confidence intervals of the final scores.

However, the Singapore state fund will pump only $900 million of additional capital into the distressed investment bank because "the commitment includes a sum of $2.5 billion arising from a re-set payment which Merrill Lynch has agreed to pay to Temasek as an adjustment to the price of Temasek's original investment made in December 2007," Merrill said.

In contrast to the results of some other authors [3, 5, 6], we do not simply sum up the arising Riccati equations, but we develop an advanced technique based on suitable linear combination and careful comparison of q ( t ) and q ( τ ( t ) ).

This case arises when the sum of the off-diagonal power in each column is higher than the power on the diagonal.

Entities (agents) and interactions are described and followed individually, and the general behavior of the system arises from the sum of the local behaviors of the involved entities.