We are developing a dual panel breast-dedicated PET system using LSO scintillators coupled to position sensitive avalanche photodiodes (PSAPD). The charge output is amplified and read using NOVA RENA-3 ASICs. This paper shows that the coincidence…
Mathematics
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Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady…
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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book…
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The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations. Unfortunately, many textbook treatments of the topic are written with neither illustrations nor intuition, and their victims can be…
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Choosing good problems is essential for being a good scientist. But what is a good problem, and how do you choose one? The subject is not usually discussed explicitly within our profession. Scientists are expected to be smart enough to figure it out…
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The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may…
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Some personal thoughts and opinions on what ``good quality mathematics'' is, and whether one should try to define this term rigorously. As a case study, the story of Szemer'edi's theorem is presented.
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Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new…
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There is increasing concern that most current published research findings are false. The probability that a research claim is true may depend on study power and bias, the number of other studies on the same question, and, importantly, the ratio of…
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This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal fCN and a randomly chosen set of frequencies Ω. Is it possible to reconstruct f from the partial knowledge of its…
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In principle, the exponential of a matrix could be computed in many ways. Methods involving approximation theory, differential equations, the matrix eigenvalues, and the matrix characteristic polynomial have been proposed. In practice, consideration…
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Collection of papers describing basic algorithms and topics in machine learning, with applications in computer vision and natural language processing. -
A group for the discussion on everything related to Statistics. -
articles mainly about Bayesian statistics, Monte Carlo methods, graphical models, Bayesian phylogenetics. -
New way to share a little bit about biostatistics. Absolutly not an expert group, just tools to help physician reading and writings paper. I'll be… -
Population genetics is the study of allele frequency distribution and change under the influence various evolutionary processes such as natural…
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