To preserve the precision of the set of optimal solutions determined by the DP algorithm, all molecular weights in ( {textm_{{i,x_{i} }} | i = 1,2, ldots,n, x_{i} = 1,2, ldots,K_{i} } ) as well as ( W_{0} ) were scaled to integer numbers by multiplying by an appropriate number, λ, in order of magnitude.
Moreover, using recent ideas in the literature [13, 23, 24, 31], it is possible to extend our result to non-Archimedean fuzzy metric spaces and probabilistic metric spaces endowed with a partial ordering induced by an appropriate function.
The court said it would wait until Dec. 14 to see whether Congress would clarify the situation by appropriating more money or by ordering that no more be spent.
Then, using an idea in [14], we will provide a common fixed point theorem for weakly increasing single-valued mappings in a complete fuzzy metric space endowed with a partial order induced by an appropriate function.
Visitations by any family, genus, or species of lepidopterans were not frequent enough to enable analyses at lower taxonomic levels, and, at the qualitative level, the lepidopterans did not vary greatly between taxonomic family in visitation behavior, suggesting that the grouping by order was appropriate.
Finally these subsystems are connected together by constructing an appropriate order matching operator.
Many of the inequalities that arise from a majorization can be obtained simply by identifying an appropriate order-preserving function.
We find that the tensile instability can be suppressed by choosing an appropriate order of interpolation in the equation of motion of the Godunov SPH method.
Next, the thus derived power spectrum is used in conjunction with a frequency domain higher-order statistical linearization formulation to replace the bilinear hysteretic system by a third order linear system by minimizing an appropriate error function in the least square sense.
