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The Laplace Transform
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The article was published on 2011-09-08 and is currently open access. It has received 1487 citations till now. The article focuses on the topics: Two-sided Laplace transform & Inverse Laplace transform.read more
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One-Parameter Semigroups for Linear Evolution Equations
Klaus-Jochen Engel,Rainer Nagel +1 more
TL;DR: In this paper, Spectral Theory for Semigroups and Generators is used to describe the exponential function of a semigroup and its relation to generators and resolvents.
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Scale Mixtures of Normal Distributions
TL;DR: In this paper, necessary and sufficient conditions under which a random variable X may be generated as the ratio ZI V where Z and V are independent and Z has a standard normal distribution are presented.
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Models of dispersal in biological systems
TL;DR: Two stochastic processes that model the major modes of dispersal that are observed in nature are introduced, and explicit expressions for the mean squared displacement and other experimentally observable quantities are derived.
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Sensitivity, Precision, and Linear Aggregation of Signals for Performance Evaluation
Rajiv D. Banker,Srikant M. Datar +1 more
TL;DR: This work identifies necessary and sufficient conditions on the joint density function of the signals under which linear aggregation, a simple and commonly employed way to construct a performance evaluation measure, is optimal.
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Scaling of multiplicity distributions in high-energy hadron collisions
TL;DR: In this paper, it was shown that asymptotically, the scaling law of the multiplicity distribution is only a function of n /∆ n ǫ, where ∆ n ( s ) is the number of vertices.