Sentence examples for orders by using the from inspiring English sources

The hard rules determine bond orders based on the basic chemical rules; the length rules determine bond order by the length between two atoms based on a set of predefined values for different bond types; the conjugation rules determine bond orders by using the length information derived from the previous rule, the bond angles and some small structural patterns.

The asymptotic solution in the far field is obtained up to the second order by using the method of renormalization.

In this paper, we propose a novel method in which SVMs are generated with the OVR scheme and probabilistically ordered by using the naïve Bayes classifiers (NBs).

The equations of vibration of the plate are written in matrix differential equations of first order by using the transfer matrix of the plate.

In the jargon of Silicon Valley, wireless mesh routing is potentially a "disruptive technology," a new technology that is likely to upset the existing order by using the same powerful economics of cost and scale that initially drove the growth of the commercial Internet.

The governing equations of vibration of an inner or an outer shell and of an end plate are written as matrix differential equations of the first order by using the transfer matrices of the shell and the plate.

Now we can write the definition of integration by parts of fractional order by using the relations given in (2.1 - 2.4 2.1 - 2.4

For (1.1), Drábek-Pohozaev [11] proved the existence of multiple positive solutions of quasilinear problems (1.1) of second order by using the fibering method.

We also derive many properties and formulae for our -Euler polynomials of higher order by using the multiple integral equations on.

In this paper, we study the stability of autonomous linear fractional differential systems, nonautonomous linear fractional differential systems, and the corresponding perturbed systems with order by using the properties of Mittag-Leffler functions and the Gronwall inequality.

Sukavanam and Kumar [47] obtained a new set of sufficient conditions for the approximate controllability of a class of semilinear delay control systems of fractional order by using the contraction principle and Schauder's fixed-point theorem.