Sentence examples for using the fundamental equation from inspiring English sources

and using the fundamental equation (13), we obtain A ( x, 0 ) B = 0. (35).

By using the fundamental equation it is shown that the scattering function is continuous at all real points and (3.16).

Gibb's free energy change was calculated using the fundamental equation: Delta G=Delta Hkern0.5em -kern0.5em Tkern0.5em Delta S Fig. 12 van't Hoff plot of fluoride adsorption on PLP (PLP 3 g/L, fluoride 3.0 15.0 mg/L, and 120 min time).

For this reason, the data were summarized according to the upper-order parameters generation length, doubling time, and intrinsic rate of natural increase (rm) using the fundamental equation of population dynamics: This equation is called the Euler equation, ([ 31]: p. 23) and is also frequently referred to as the Lotka equation, after Lotka [ 35], who applied it to human demography.

Far from inclined to study mathematical theories for their own sake, Dr. Fano delighted in poring over puzzling or anomalous experimental data and then finding clear explanations using the fundamental equations governing the behavior of matter and radiation.

A nonlinear description for perpendicular particle diffusion in strong electromagnetic fluctuations is developed by using the fundamental Newton Lorentz equation.

This dependence of vector species on aquatic habitats is an invariant aspect of the mosquito life cycle and one for which the energetics can be modeled explicitly by using the fundamental, physical equations of conservation of energy and mass.

Using the fundamental solution of the heat equation, we solve the general solution of this equation and prove the Hyers-Ulam stability in the spaces of tempered distributions and Fourier hyperfunctions.

Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions and Fourier hyperfunctions.

Using the fundamental solution of the heat equation, we solve the general solution and prove the Hyers-Ulam stability of this equation in the spaces of tempered distributions and Fourier hyperfunctions.

The sound field is simulated by using the boundary element method (BEM), which is a numerical technique to reduce the boundary integral equations using the fundamental solution and Green's transfer functions, for sound field analysis in this paper.