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 ...

introduction: to assess efficiency as a relative concept, the difference between real and expected values must be determined by comparing the productivity of economic units of industry and the efficiency in potential production conditions. as economic units, hospitals need to utilize efficiency analysis in order to make optimal use of their available resources. therefore, the present study comp...

College students, especially women, demonstrated negativity toward math and science relative to arts and language on implicit measures. Group membership (being female), group identity (self female), and gender stereotypes (math male) were related to attitudes and identification with mathematics. Stronger implicit math male stereotypes corresponded with more negative implicit and explicit math a...

OBJECTIVE Nightmares are a robust and modifiable predictor of increased suicidality and poor psychiatric outcomes, yet nightmare screening and treatment remain rare, even in sleep centers. This paper aims to examine what proportion of nightmare sufferers have discussed nightmares with a healthcare provider, as well as possible explanations for low rates of nightmare complaints. METHODS The pr...

But the Lord came down to see. .. the tower which the sons of men had built. And the Lord said, ''Indeed the people are one and they all have one language, and this is what they begin to do;. .. Come, let Us go down and there confuse their language, that they may not understand one another's speech.''. .. Therefore its name is called Babel, because there the Lord confused the language of all th...

When not performing a task, we are usually engaged in a variety of thoughts, for instance about current problems, opportunities, our self-image, our relationships, about past experiences, and about plans for the future. Such mind wandering was found to occupy almost half of our time spent awake (Killingsworth and Gilbert, 2010). Mind wandering may have had the evolutionary advantage of better a...

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 ...