Sentence examples for proposed rational from inspiring English sources
Comparison of the proposed rational cubic FIF over some existing schemes: When all the scaling factors are zero, the proposed rational cubic FIF reduces to the classical rational cubic interpolant [20], see Remark 1, Section 3.
In the proposed rational cubic IFS, we assume q i ( i = 1, 2, …, n − 1 ) are the rational functions with 3-shape parameters, whose denominators are preassigned quadratics.
The classical interpolants [15, 23] are suitable only for monotonicity interpolation whereas the proposed rational cubic FIF is suitable for both monotonicity and positivity interpolation.
When all the scaling factors are zero, the proposed rational cubic FIF reduces to the classical rational cubic interpolant [20], see Remark 1, Section 3.
The proposed rational approach expresses fire resistance in terms of conventional structural and material design parameters, and thus facilitates easy evaluation of fire resistance.
In order to overcome this weakness, scholars proposed rational Bézier surfaces and NURBS surfaces, whose shapes can be modified or adjusted by changing their weight factors on the condition of given control mesh points.
In each case he details what is known, separates fact from fiction and proposes rational strategies to alleviate the danger.
To facilitate accurate but conservative design of cellular beams for resistance against lateral torsional buckling (LTB), this study proposes rational design guidelines based on General method of EC3.
Moreover, the local response of each component and its effect on the global behavior of the element can be obtained which is useful for proposing rational design relations.
By proposing "rational" trade-offs, for example, politicians can yield effects which are contrary to their goal: in political disputes like the Israeli Palestinian conflict, instrumentally driven trade-offs can exacerbate violent opposition to compromise solutions, "while noninstrumental symbolic compromises may reduce support for violence" (p. 272).
His method of tabulating data on animal groups in geographic zones highlighted the discontinuities; and his appreciation of evolution allowed him to propose rational explanations, which had not been done before.
