Sentence examples for validity of the polynomials from inspiring English sources
Statistical validity of the polynomials was established.
The statistical validity of the polynomials was established, and optimized formulation factors were selected by feasibility and grid search.
The 2-D and 3-D plots were drawn and a statistical validity of the polynomials was established to find the compositions of optimized formulation.
Response surface plots were drawn, statistical validity of the polynomials was established and optimised formulations was selected by feasibility and grid search.
Response surface plots were drawn, statistical validity of the polynomials was established to find the compositions of optimized formulation which was evaluated using the Franz-type diffusion cell.
Response surface plots were drawn, statistical validity of the polynomials was established to find the compositions of optimized formulation which was evaluated using the vertical Franz-type diffusion cell.
We also provide theoretical results that guarantee the validity of the polynomial-time algorithm.
The validity of the polynomial approach is illustrated through a comparison with exact solution obtained from the Stiffness matrix method and a comparison with earlier known Lamb wave solution of pure elastic multilayered plate.
Through a numerical comparison among the exact solution (from the transfer matrix method), the improved polynomial approach and the conventional polynomial approach, the validity of the improved polynomial approach is illustrated.
The validity of the proposed polynomial equation was assessed by the values of (R^{2}), (R_{text{Adj}}^{2}) and (R_{text{Pred}}^{2}).
Through numerical comparison with the available reference results for a purely elastic layered rectangular bar, the validity of the double polynomial approach is illustrated.
