Sentence examples for basis with the same from inspiring English sources

Let and be two probabilistic weak solutions of (1.1), (1.2) starting with the same initial condition and defined on the same stochastic basis with the same Wiener process.

When there is more than one basis with the same weight the choice between them is arbitrary as either can be used to generate the cycle space.

Assume that (HYP 1)–(HYP 4) hold and let and be two probabilistic weak solutions of (1.1), (1.2) starting with the same initial condition and defined on the same stochastic basis with the same Winer process.

Given the passionate fandom, the organization and the drama around e-sports, "the storyline was so compelling that we decided there was no reason we shouldn't be doing this on a daily basis with the same rigor we cover the National League Football or other sports," said Chad Millman, editor-in-chief of ESPN.com and ESPN The Magazine.

In 2005, the NHFR was established on the same basis with the same methodology.

Retail sales in October were down 0.2% on a like-for-like basis compared with the same month last year, according to the British Retail Consortium's retail sales monitor.

In the 90's, on a regular basis, children with the same hearing characteristics were incorporated in the CI indication, deep hypoacusia and the equivalent expectations with reference to the residual hearing that was reduced.

Due to the conservation of the total momentum k only those basis vectors with the same k need to be taken into account.

The success of that low-price Fire device provided a big lift to Amazon's tablet sales, which have more than doubled on a unit basis this year compared with the same period last year, said Kevin Keith, general manager of Amazon's Fire tablet business.

A first conclusion is that our analyses show that GO classifications often have a strong structural basis: proteins annotated with the same GO term often interact, or at least they are sufficiently close in the interactome graph as to be detected in statistically significant clusters.

This is nearly the value obtained with the Dirac basis for the same chirp rate, suggesting the same probability of recovery for the same number of measurements.