Sentence examples for by using the fourth from inspiring English sources
The mathematical model of the system is developed and governing conservation equations are numerically solved by using the Fourth order Runge Kutta method.
The corresponding nonlinear viscoelastic response can be simulated by using the fourth order Runge-Kutta numerical integration method, thus the system bifurcation diagrams with varying dynamic pressures can be obtained.
In this study, the maximum watermark capacity can be up to 364 bits by using the fourth scale band only, for a host image of size 512 × 512.
Room-temperature photoluminescence (PL) was measured by using the fourth harmonic of a Nd YAG laser with a wavelength of 244 nm for excitation and a 0.5-m monochromator with an expected spectral resolution of 0.1 nm.
Second, we extend this algorithm to a discrete-time form by using the fourth-order Runge Kutta method.
The bifurcation diagrams, maximum Lyapunov exponent diagrams, phase portraits, the time history diagrams, three-dimensional phase portraits and poincare maps are obtained by using the fourth-order Runge-Kutta algorithm.
Almost all climatic and hydrological regimes and their uncertainty did not show significant periodicity at the P = .05 significance level, but their temporal variation could be well modeled by using the fourth-order polynomial.
Herein, the spatial derivatives in the resulting lattice Boltzmann (LB) equation in the computational plane are discretized by using the fourth-order compact finite-difference scheme and the temporal term is discretized with the fourth-order Runge Kutta scheme to provide an accurate and efficient incompressible flow solver.
To me it's just plain common sense that you deal with the first by using the second".
The optical constants of each thin film are determined by using the first principle calculations.
