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The author briefly discusses the foundations of modern theories of turbulence based on hydrodynamics equations. He shows that these theories seem to offer only a limited number of possible solutions.  相似文献   
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A number of writers have observed that the particle size distributions obtained from some breakage processes appear to be logarithmico-normal. There have been virtually no attempts to explain this phenomenon. In this paper a statistical model is constructed for a breakage mechanism which will generate size distributions which are asymptotically logarithmico-normal. In this model, Fn(x), the distribution function of the particle sizes, after n steps of the breakage process, is the distribution function of the product of (n + 1) independent random variables and hence, by the central limit theorem, is asymptotically logarithmico-normal.  相似文献   
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The author presents a review of some mathematical aspects of magnetohydrodynamics and plasma-dynamics, and the fields of mathematics required and used in those domains are briefly discussed. The last section is devoted to the discussion of adjusting the mathematical program of a university, from the point of view of engineering, physics and mathematics, so that a greater number of students in those disciplines will be prepared for graduate courses in magnetohydrodynamics and plasma-dynamics.  相似文献   
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