a disk wang-bézier type generalized ball curve is a wang-bézier type generalized ball curve whose control points are disks in a plane. it can be viewed as a parametric curve with error tolerances. in this paper, we discuss the problem of degree reduction of disk wang-bézier type generalized ball curve, that is, bounding disk wang-bézier type generalized ball curves with lower degree disk wang-b...

this paper discusses the problem of allocation of constrained renewable resource to splittable activities of a single project. if the activities of stochastic projects can be split, these projects may be completed in shorter time when the available resource is constrained. it is assumed that the resource amount required to accom-plish each activity is a discrete quantity and deterministic. the ...

In this paper, we study the advanced differential equations r(t) x (t) α–1 x (t) + n i=1 p i (t) x(t + τ i (t)) α–1 x(t + τ i (t)) = 0 and r(t)(y(t) – P(t)y(t – τ)) + n i=1 p i (t)f (y(t + σ)) = 0. By using the generalized Riccati transformation and the Schauder-Tyichonoff theorem, we establish the conditions for the existence of positive solutions of the above equations.

Diffusion- and interface-limited Becker-Döring (BD) -type nucleation is considered in a closed system, where supersaturation is depleted by growing nuclei. Special focus is on nonadiabatic effects, which become increasingly pronounced for barriers lower than 20-25k(B)T, and which lead to nucleation rates deviating from their quasi-steady-state (QSS) values. Several essential modifications of th...