منابع مشابه
Carbon nanotube Archimedes screws.
Recently, nanomechanical devices composed of a long stationary inner carbon nanotube and a shorter, slowly rotating outer tube have been fabricated. In this paper, we study the possibility of using such devices as nanoscale transducers of motion into electricity. When the outer tube is chiral, we show that such devices act like quantum Archimedes screws, which utilize mechanical energy to pump ...
متن کاملArchimedes’ Cattle Problem
If thou art diligent and wise, O stranger, compute the number of cattle of the Sun, who once upon a time grazed on the fields of the Thrinacian isle of Sicily, divided into four herds of different colours, one milk white, another glossy black, the third yellow and the last dappled. In each herd were bulls, mighty in number according to these proportions: Understand, stranger, that the white bul...
متن کاملPi, Archimedes and circular splines
In the present paper, we give approximate values of π deduced from the areas of inscribed and circumscribed quadratic and cubic circular splines. Similar results on circular splines of higher degrees and higher approximation orders can be obtained in the same way. We compare these values to those obtained by computing the perimeters of those circular splines. We observe that the former are much...
متن کاملArchimedes and the Complex Plane
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متن کاملHolomorphic fiber bundle with Stein base and Stein fibers
A surjective holomorphic map Π : X → Y between complex spaces is said to be a Stein morphism, if for every point y ∈ Y , there exists an open neighborhood U of y such that Π(U) is Stein. In 1977, Skoda [12] showed that a locally trivial analytic fiber bundle Π : X → Ω with Stein base and Stein fibers is not necessarily a Stein manifold. Thus giving a negative answer to a conjecture proposed in ...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2012
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti905