Sentence examples for basis of the equations from inspiring English sources

Yet, on a closer inspection, "it seems not so unlikely that these probabilities can be derived on the basis of the equations of motion alone…" (WA I, 317).

The hydraulic conductivity was calculated on the basis of the equations described by Schweitzer et al. (2013) deriving from Darcy's equation.

The model of electrocrystallization is considered on the basis of the equations describing the nucleation controlled by diffusion towards a disc-shaped ultramicroelectrode.

The similarity of the meshes given by the two methods is justified on the basis of the equations that lead to the element size of the mesh.

The relationship between the effective coefficient of basal friction and the pore fluid pressure ratio is presented in Figure 4, and it was derived on the basis of the equations by Wang et al. ([2010]).

Thus, there is no conflict between his claims that on the one hand, "the problems of the mechanical theory of heat are really problems in probability calculus" and that the probabilities themselves are "derived on the basis of the equations of motion alone", on the other hand.

"Whenever the driver is so drowsy that his eyes stay closed over a predetermined period, the drowsiness factor increases slowly on the basis of the equation," the patent said.

It forms the basis of the "equation-free" approach, which we now discuss.

The specific capacitance of a single electrode is able to be obtained on the basis of the equation described as follows: C= icdot varDelta t/varDelta Vcdot m.

The heterogeneous rate constant is relatively high and compares well with the homogeneous rate constant on the basis of the equation of Marcus.

Moreover, we estimated the concentration of the suspended material originating from the Hasu River for each sample on the basis of the equation Fig. 4 X Y plot of SiO2 and Al2O3 content for SG12LM3 samples and the Hasu River suspended material.