منابع مشابه
Archimedes’ Principle for Brownian Liquid
We consider a family of hard core objects moving as independent Brownian motions confined to a vessel by reflection. These are subject to gravitational forces modeled by drifts. The stationary distribution for the process has many interesting implications, including an illustration of the Archimedes’ principle. The analysis rests on constructing reflecting Brownian motion with drift in a genera...
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We consider some of the complications that arise in attempting to generalize a version of Archimedes’ principle of floatation to account for capillary effects. The main result provides a means to relate the floating position (depth in the liquid) of a symmetrically floating sphere in terms of readily observable geometric quantities. A similar result is obtained for an idealized case correspondi...
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The usage of the anthropic principle in modern cosmology is reviewed. It is argued that its recent use to explain the observed values of cosmological parameters as most probable values for an ensemble of universes, is not justified. However, the anthropic principle can be invoked to argue that a vast number of universes must exist, in which the cosmological parameters and constants of nature ta...
متن کاملThe Precautionary Principle Revisited:
The precautionary principle was included in 1992 in the Rio Declaration on Environmental and Development and is a part of important international agreements and documents, for example, the Convention on Biological Diversity. Yet the interpretation of this principle is not straightforward as a guide for environmental policy – a variety of interpretations are possible. This paper identifies and e...
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We give a real-variable proof of the Hardy uncertainty principle. The method is based on energy estimates for evolutions with positive viscosity, convexity properties of free waves with Gaussian decay at two different times, elliptic L2-estimates and the invertibility of the Fourier transform on L2(Rn) and S′(Rn).
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2017
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2017.54073