Sentence examples for by using the theories from inspiring English sources

In this paper, by using the theories of mathematical analysis, the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x2="t.

Then the maximum load Pmax was gained correspondingly, as well as the critical crack lengths, by using the theories of extremum.

In Section 3, the direction and stability of periodic solutions bifurcating from the Neimark-Sacker bifurcation of the discrete red blood cell model are determined by using the theories of discrete systems.

In Section 5, the direction and stability of bifurcating periodic solutions from the Neimark-Sacker bifurcation of a controlled delay equation are determined by using the theories of discrete systems.

In Section 3, the direction and stability of a closed invariant curve from the Neimark-Sacker bifurcation of the discrete delay model are determined by using the theories of discrete systems in [13].

In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm for solving the second kind of Fredholm integral equation is established, and a mechanical Maple algorithm fredholmproc is established, too.

From my experience, if you have an army of people who believe as passionately about the goal and the vision, you're going to find a lot more success than by using the theory of command and demand.

By using the theory of linear algebra, we have the next necessary and sufficient conditions.

By using the theory of impulsive delayed differential equations, global properties of the system are discussed.

Finally, a color wheel system is designed by using the theory.

Moreover, the convergence property of HDE is analyzed by using the theory of finite Markov chain.