Sentence examples for sum expansion from inspiring English sources

Higher order terms in the Wild sum expansion are considered to obtain higher order collisions.

It is observed that truncating the Wild sum expansion up to the third order approximation of the TRMC scheme, may be a proper alternative method for the DSMC method in simulating the lid-driven micro cavity problem for Knudsen numbers 0.005≤Kn≤0.1 with reasonable accuracy and simplicity in mathematics.

In sum, the expansion of MDT and head of caudate nucleus as part of the prefrontal loop has been associated definitely with impaired recovery according to RFA.

Therefore, the variables in the sum of expansions in Eqs.

Then, the series expansion (sum _{i=0}^{N}c_{i}H_i(x)) of a function u, by Hahn polynomials, converges pointwise, if the series expansion (sum _{i=0}^{N}d_{i}P_i(x)) of the function u, by Jacobi polynomials, converges pointwise and (n^4/N rightarrow 0) for (n,Nrightarrow {infty }).

The nonprofit group cobbled together a substantial sum for its expansion from a mix of private and public donors, including a $5 million gift from the fashion designer Michael Kors, whose name will grace the new structure, and $8 million from the city.

Let be the th partial sum of the expansion (4.2) (4.2.

Let be the th partial sum of the expansion (5.2) as follows: (5.4).

In sum, before The Expansion, the gender inequality of higher education opportunity significantly existed when the parental educational level was relatively low ('primary school or lower' and 'junior high school'); after The Expansion, this inequality significantly exists only when the parental educational degree is the lowest level ('primary school or lower').

In general, the thermally induced op variations can be represented by a sum of thermoelastic expansion (dL/dT) and thermorefractive effect (dn/ dT) [ 24].

In sum, perilesional GMV expansion is associated with successful recovery after cortical stroke, possibly reflecting the restructuring of local cortical networks.