Sentence examples for by use of elementary from inspiring English sources
Although, (1.2) can be considered as a simple differential equation, in the sense that it is completely solvable by use of elementary techniques of the theory of differential equations, it has tremendous and numerous applications in various fields.
For both types of motion, dispersion curves obtained by use of 'elementary' theory are compared with those obtained by use of the 'exact' theory (which involves the theory of elasticity in description of wave motion in a core ply).
Moreira and Wang [5] studied an SIRI model with general saturated incidence rate φ ( S ) I and derived sufficient conditions for the global asymptotic stability of the disease-free and endemic equilibria of the model by using an elementary analysis of Lienard's equation and Lyapunov's direct method.
By using the elementary properties of the Gaussian c.f., as in the proof of Lemma 10.IV in [3], one gets ( ∫ | t | ≥ n 1 / 4 2 M | d l d t l e − t 2 / 2 | 2 d t ) 1 / 2 = O ( 1 / n ). for l = 0, 1.
Furthermore, the ratio P110/P100 of the probabilities for effective jumps via 〈110〉 cycles or via 〈100〉 cycles is determined by using elementary properties of stochastic processes.
A quantum computer, however, stores information by using the states of elementary particles.
To do this, coefficients of flux efficiency were calculated for each reaction within the networks by using selected sets of elementary flux modes.
By using the elementary inequality for, we have (2.24).
An optical implementation is proposed by using an elementary switching unit realized with CdTe:In crystal.
The exploration of the internal structure of the Earth by using elementary particles is what can be now denoted as Geoparticle Physics.
By using a sample of elementary-aged students, the results of this study provide further evidence for the validity of a generalized model of quantitative literacy as previous research has validated the model for secondary and undergraduate students (Wilkins, in press, 2010).
