18,961 research outputs found

    Two passages in pseudo-Xenophon

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    This paper discusses textual problems in [Xenophon] Athenian Constitution 2.9 and 3.5

    On isoperimetric inequalities with respect to infinite measures

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    We study isoperimetric problems with respect to infinite measures on RnR ^n. In the case of the measure Ī¼\mu defined by dĪ¼=ecāˆ£xāˆ£2dxd\mu = e^{c|x|^2} dx, cā‰„0c\geq 0, we prove that, among all sets with given Ī¼āˆ’\mu-measure, the ball centered at the origin has the smallest (weighted) Ī¼āˆ’\mu-perimeter. Our results are then applied to obtain Polya-Szego-type inequalities, Sobolev embeddings theorems and a comparison result for elliptic boundary value problems.Comment: 25 page

    Fighting Ebola in Sierra Leone: the experience of frontline NHS workers

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    A group of UK trainees find themselves face-to-face with one of the most catastrophic health crises in recent times
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