Statistical approaches to study the properties of neurons in sensory system ascribe the selectivity of neurons in visual and auditory cortices to regularities of signals in natural environment. “Efficient coding” hypothesis is an outstanding theory that explains the work of sensory system in discarding unnecessary data and supplying higher order brain areas with the most informative features in...

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 ...

In this short communication, we present a new, simple control-variate Monte Carlo procedure for enhancing the evaluation accuracy of alternative reinsurance strategies that an insurance company might adopt.

A rodenticide is any product able to kill rodents, mice, gophers, squirrels and other small animals. They represent a diverse group of chemicals bearing little or no relationship to one another – apart from their current or historic use as rodenticides. Anticoagulant rodenticides [1] of the indanedione type (Fig. 1) are commonly used for the control of mice, rats and other rodents. The most imp...

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 ...