Sentence examples for by a small modification from inspiring English sources

We also show that the additions required beyond the convolutions can be minimized by a small modification to the convolution algorithms.

By a small modification of the proof of Lemma 7 in [7], we have the following result.

As shown in [12, 16], by a small modification of the proof for the compressible MHD system and using Proposition 2.1, we obtain the following result.

end{aligned} The following lemma can be obtained by a small modification of the proof of Theorem 4.1 in [8], so we omit the proof.

By a small modification to the second stage classifier and the training scheme, it is straightforward to develop an additional predictor which can specifically predict main chain hydrogen bonding patterns rather than generic residue residue contacts.

In this paper, we reported a complete fabrication process of InGaN LED involving a small modification of substrate by ultrafast laser.

By default, it has the multiplicative homomorphic property but a small modification enables addition, as seen in [22].

Even a small modification, such as increasing the quota of the H1B visas that are often issued to skilled workers, must be validated by Congress.

The complete description of traces of classes with and quasinorms on the unit disk can be obtained similarly by small modification of the proof of Theorem 3.2, (315).

The final version was developed to resolve these issues by some small modifications and a revision of the Dignity items, which was approved by the ASCOT development team.

With another -sharp" embedding theorem, the complete analogue of Theorem 4.3 is true also when we replace the left side by The proof needs small modification of arguments we present in the proof of Theorem 4.3.