Sentence examples for after straightforward from inspiring English sources

After straightforward calculations, (13) follows.

Since, then using Lemma 2.1 and Theorem 2.2 and after straightforward calculations, we get (2.18).

After straightforward algebraic manipulations on the product of two Gaussian densities, the desired result (32) is obtained.

In this study modular necks did not reveal a clear benefit in restoring hip geometry and dislocation rate after straightforward THA.

Inserting (40) into (E.2) we deduce, after straightforward manipulations, that 1 + Σ + Π = 1 - u h u α (E.3).

Substituting g from (23) into (24) and applying the matrix inversion lemma to invert the matrix in (24) yield (19) after straightforward algebraic manipulations.

The gaming elements in DevHub are pretty straightforward: after initially signing up for the service, you're prompted to earn more points by adding more elements to your site.

Becker (South) was in three no-trump after a straightforward auction.

After the straightforward rejections, and those they have already decided to offer places to, there is a band of candidates who fall in the middle.

After some straightforward background about Woodlawn and its history, Mr. Goodman abruptly summons the specter of Melville and joins him to witness the events of September 11 , 2001

Caroline Wozniacki is one win away from taking Serena Williams' spot at the head of the world rankings after a straightforward victory over Sara Errani at the China Open yesterday.