Sentence examples for assumptions for all from inspiring English sources

Under the assumptions, for all positive integers,,,, we have (2.22).

Assumptions for all Scenarios were that forest owners would be willing to harvest at the specified felling age.

The area and latency comparisons are based on logical effort analysis under the same assumptions for all the evaluated adders and multipliers.

With the variational methods, the existence and multiplicity of homoclinic orbits of problem (1) have been obtained in many papers (see [1 16]), mainly in the case that W satisfies some global assumptions for all t and u.

Energy budget closure is a good and independent quality check of eddy covariance measurements due to the similarity of the atmospheric transport mechanism and the theoretical assumptions for all scalars measured with the eddy covariance system (CO2, water and heat) [50].

Assume that f, g, and G satisfy the following assumptions: For all (u,v,bar{u},bar{v}inmathbb{R}^{n}) and (tinmathbb{R}_), there exists a constant (K_{1}>0) such that biglvert f u,bar{u},t -f v,bar{v},t -f v,bar{v}q K_{1} bigl(vert u-vvert +|bar{u}-bar{v}|bigr).

By assumption,, for all, so.

In this paper, we consider Rayleigh fading assumption for all links for convenience.

Cross – sectional independence is a crucial assumption for all the readily available panel unit root tests.

Nobody has proved that assumption for all lattices, but Smirnov has settled the matter in the case of triangular ones.

An average oil temperature distribution inside the radiators along the height follows an exponential decay distribution, in contrast to the traditional linear profile assumption for all configurations of transformer cooling.