Cloutier, Nyman, and Su (Mathematical Social Sciences 59 (2005), 26–37) initiated the study of envy-free cake-cutting problems involving several cakes. The classical result in this area is that when there are q players and one cake, an envy-free cake-division requiring only q − 1 cuts exists under weak and natural assumptions. Among other results, Cloutier, Nyman, and Su showed that when there ...

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We investigate the characteristics of constant-amplitude input shapers for robust time-optimal maneuvers of exi-ble structures. Trends in the timing of the shaper impulses are shown as a function of the system damping constant and move distance. The insensitivity to modeling errors, time-optimality, amount of vibration caused during maneuvers, and high frequency excitation of these shapers are ...

Internet of Things (IoT) empowers imaginative applications and permits new services when mobile nodes are included. For IoT-enabled low-power lossy networks (LLN), the Routing Protocol for Low-power Lossy Networks (RPL) has become an established standard routing protocol. Mobility under RPL remains a difficult issue as it causes continuous path disturbance, energy loss, increases end-to-end del...

We propose a general technique related to the polytopal Sperner lemma for proving old and new multilabeled versions of Sperner’s lemma. A notable application of this technique yields a cake-cutting theorem where the number of players and the number of pieces can be independently chosen. We also prove multilabeled versions of Fan’s lemma, a combinatorial analogue of the Borsuk-Ulam theorem, and ...

Thi spaperdi scussesstochasti cextensi onsofasi mpl eprocessal gebrai nacausal i ty-based setti ng. Atomi c acti ons are supposed to happen after a del ay that i s deter-mi ned bya stochasti c vari abl e wi th acertai n di stri buti on. Asi mpl e stochasti c type of event structures i s di scussed, restri cti ng the di stri buti on functi ons to be expo-nenti al. Acorrespondi ngoperati onalsema...