Sentence examples for equation applying from inspiring English sources

(1) The Eckhaus equation: Applying the Riccati-Bernoulli sub-ODE method, Eqs.

Scattering from nearby perfectly reflecting objects is computed through a Kirchhoff–Helmholtz integral equation applying the Kirchhoff approximation.

(3) The generalized Ostrovsky equation: Applying the Riccati-Bernoulli sub-ODE method, it is easy to find that our results are identical to results presented in Ref. [32].

The relationship between the yield of P. khinjuk fruit oil and the extraction variables was determined by a second order poly-nominal equation applying the central composite design (CCD).

The mass transport equation applying to a second order gas solid reaction taking place in an isothermal spherical particle is solved by the orthogonal collocation method, using 3, 5 and 8 point collocation.

(2) The nonlinear fractional Klein-Gordon equation: Applying the Riccati-Bernoulli sub-ODE method and comparing our results with Golmankhaneh's results [29], it is easy to find that ({{u}_{j}} ( x,t ) ) ((j=1,ldots,8 )) are new and identical to results by the first integral method [6].

Consider the data: When Bettencourt and West analyzed the negative variables of urban life, like crime and disease, they discovered that the exact same mathematical equation applied.

Modified Arrhenius equation applied for each reaction.

The radial equilibrium equation applies to compressible flow as well as incompressible flow.

This equation applies to the system with only one binding site.

The average size of crystallites was determined using Scherrer equation applied to the most intensive peak.