Sentence examples for by the classical equations from inspiring English sources

The modal diameter of the size distribution can be predicted by the classical equations for particle growth in supersaturated media.

In this case, the most probable path to extinction can be obtained by solving the classical equations of motion that dominate a path integral representation of the stochastic neural field in the weak noise limit.

The most probable path to extinction can then be obtained by solving the classical equations of motion that dominate the path integral representation in the weak noise limit; these equations take the form of nonlocal Hamilton equations in an infinite-dimensional phase space (Section 6).

It is found that the extent of the BBL in the non-circular case is 2.5 4 times longer than that predicted by the classical equation, however, the 'intensity' of the bending boundary layer is reduced.

The fractional Lotka-Volterra equations are obtained from the classical equations by replacing the first-order time derivatives by the derivatives of fractional order.

These expressions represent an extension to more concentrated mixtures of the classical equations by van Krevelen and Hoftijzer.

For bending, buckling and vibration, it has been proved that the classical equations of equilibrium and/or equations of motion could not be applied to nonlocal nanostructures directly unless the stress and moment quantities in classical equations are replaced by the corresponding effective nonlocal quantities.

The classical equation of "life = nature + nurture" had left out chance.

Recently, Nutaro and Protopoopescu [18] and his co-workers discovered a phenomenon that the delay of phase and frequency in power systems can be explained by the classical swing equation and Kirchhoff equation.

SFDEs model phenomena exhibiting anomalous diffusion that cannot be modeled accurately by the classical diffusion equations.

The simulations show that the static deflection developed by the present model has a remarkable difference with those got by the classical constituent equations when the ratio of the beam thickness to the internal material length scale parameter is small.