منابع مشابه
Pseudo-random Number Generation for Parallel Monte Carlo—A Splitting Approach
Monte-Carlo simulations are common and inherently well suited to parallel processing, thus requiring random numbers that are also generated in parallel. We describe here a splitting approach for parallel random number generation. Various definitions of the Monte-Carlo method have been given. As one example [1]: “The Monte-Carlo method is defined as representing the solution of a problem as a pa...
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Traditional algorithms in computational geometry assume that the input points are given precisely. In practice, data is usually imprecise, but information about the imprecision is often available. In this context, we investigate what the value of this information is. We show here how to preprocess a set of disjoint regions in the plane of total complexity n in O(n logn) time so that if one poin...
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The first option here is not easy. Some pieces of data of this kind exist, for example from the decay of radioactive elements, but generally generation is slow and you cannot get the quantity of random numbers you require for modern applications. The second option here is what I’ll talk about today. Algorithms of this type are called “PseudoRandom Number Generators” (PRNGs). Many bad algorithms...
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In this paper, we derive a nonlinear Picone identity to the pseudo p-Laplace operator, which contains some known Picone identities and removes a condition used in many previous papers. Some applications are given including a Liouville type theorem to the singular pseudo p-Laplace system, a Sturmian comparison principle to the pseudo p-Laplace equation, a new Hardy type inequality with weight an...
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2019
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-019-00674-x