Sentence examples for resultant equation from inspiring English sources

The resultant equation set is written in terms of finite Fourier sine transforms and unique solutions obtained by varying the flux until a consistent pressure distribution throughout the coating bead is obtained.

The resultant equation is different from the Kolmogorov diffusion equations available in the literature, in that it includes a term to account for the chemical reaction occurring in the reactor.

The resultant equation is the multimodal vMF SCF function, the mathematical details of which are omitted in here.

Includes regression data, graph of regression curve, and application of the resultant equation to estimate vine biomass as a function of age across the five ranches where the study was conducted.

Proof First, multiplying (2) by u t and integrating the resultant equation by parts over R 2 on x, one deduces that 1 2 d d t ∥ ∇ u ∥ L 2 2 + ∥ ρ 1 2 u ˙ ∥ L 2 2 = ∫ ρ u ˙ ( u ⋅ ∇ ) u d x + ∫ ( B ⋅ ∇ ) B ⋅ u t d x. (19).

Since the approximated equation (6) corresponds well with the experimental results, the peak value of can be obtained by differentiating this equation, and the resultant equation is (7). Figure 10 shows obtained by the above equation in each biaxial stress ratio and the theoretical curve of obtained by substituting (3) for (4).

We give a general solution for the resultant equations.

Measurements and calculations showing good agreement were allowed to determine resultant equations for the sizing of the systems.

The resultant equations are integrated numerically and the model simulates well-established outcomes of combat between fungal communities.

All these features lead to much difficulty in solving the resultant equations.

We develop a scheme to numerically solve the resultant equations, based on the supercell plane wave expansion method.