Sentence examples for modifications we can from inspiring English sources

By some modifications, we can get the following result easily.

By the combination of the two modifications, we can integrate the equations both with high accuracy and stability.

With some suitable modifications, we can obtain similar properties for higher-order contingent-type derivatives of perturbation maps in [31].

In a way similar to the proof of Theorem 4.2, with suitable modifications, we can obtain that the conclusion of Theorem 4.4 holds.

holds for large n and all x > 0. Proof Using the techniques similar to Lemma 3.3 with some obvious modifications, we can prove the lemma.

Finally, if we repeat the above procedure with similar modifications, we can obtain the eigenvalues (lambda^{(3)}, lambda^{(4 },ldots) and the corresponding eigenvectors (y^{(3)}, y^{(4 },ldots) .

Based on the modification, we can allocate the subchannels and power in each PRN using Zukang's algorithm independently.

For this modification, we can obtain a Hölder-type error estimate with an a priori choice of regularization parameter.

In our proposed modification, we can have the same outcome by using only a percentage of the number of the intermediate nodes.

To characterize the noise introduced by hue modification, we can say that changes in hue affect all coefficients representing a particular color similarly and this would have hue effect in blocks.

Through the lamination and chemical modification, we can see that the sheet resistance of the pristine graphene and the tri-layer graphene modified with HCl and AuCl3 are 350, 258, and 150 Ω/□, respectively.