Sentence examples for by using similar methods from inspiring English sources

We prove a bound coefficient in Theorem (10) by using similar methods in the starlike class.

By using similar methods to those used when proving the Hölder continuous of the operator T in quaternion calculus [16, 17], we can prove the following theorem.

Further, we note that the period of the order-1 limit cycle can be analytically determined by using similar methods as those developed in reference [1].

Next, we will show the asymptotic normality of (frac{{{1}}}{{sqrt{nh} }}W_{n}), and this can be shown by using similar methods to Theorem 2 of [25].

Then for the one-component case, a more precise blow-up estimate and a global existence result are also established by using similar methods.

By using similar methods as in these above papers, the purpose of this paper is to define a new monoid construction under a crossed product and to give its regularity.

By using similar method to Lemma 2.3 and standard arguments, we can show the conclusion.

Again by using similar method as used in the proof of Theorem 2.8, we can prove that (x^) is the unique fixed point of T. □.

By using similar method, Xia et al. (2011) assembled and analyzed the latex and leaf transcriptome of rubber tree.

But this finding was lower than other studies done in Asia countries by using similar method, Kuwait and India in which HHC was 33.4% and 43.4% respectively [ 13, 14].

The control data in this study were derived from healthy subjects and were obtained by ourselves using similar methods.