Sentence examples for solution and the equivalent from inspiring English sources

In virtue of the simple Green's function solution and the equivalent body-force concept, the elastic, electric, and magnetic fields induced by an arbitrarily shaped polygon with a uniform eigenfield inside are evaluated analytically.

So the equation has at least one solution, and therefore the equivalent problem (3.37).

The rats in groups 1 and 2 were treated subcutaneously with 10 mg/kg of free 5-FU aqueous solution and the same equivalent dose of 5-FU cubosomal dispersion for 7 days.

For at least one sample of each particle type, the amount of Fe(II) adsorption onto the nanoparticles was determined by difference between the total Fe(II) equivalents in solution and the benzoquinone equivalents produced.

Hence, the solution to the original problem (9) can simply be found applying the inverse change of variables to the solution of the equivalent problem, and it is equal to P S, DT ( k ) = P S, DT ( k ) = ν − 1 / η S, D ( k ) 0 P ¯, (11).

And analytic solutions of the equivalent strength and Young's modulus are introduced.

Based on a systematical numerical study of the 3D stress fields near the crack tip of quarter elliptic corner cracks and comparison with that of ideal through-the-thickness cracks, an equivalent thickness conception for curved cracks is proposed from the viewpoint of out-of-plane constraint, and a semi-analytical solution for the equivalent thickness of corner cracks is obtained.

In this study, the density derivatives from the DTA solution and pressure density equivalent derivative are generated from Horne (1995) mathematical derivative equation or the new statistical derivative equation by Biu and Zheng (2015).

Variables studied were: cylinder rotation speed, physical properties of the solution and cylinder equivalent diameter.

The solution includes the equivalent parameter domain for each model and parameter mapping that associates these two models on their equivalent parameter domains.

Participants then consumed a standard solution containing the equivalent of 75 g anhydrous glucose over 5 min.