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Mathematical Arguments and Distributed Knowledge
2013Because the conclusion of a correct proof follows by necessity from its premises, and is thus independent of the mathematician’s beliefs about that conclusion, understanding how different pieces of mathematical knowledge can be distributed within a larger community is rarely considered an issue in the epistemology of mathematical proofs. In the present
Allo, Patrick +2 more
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Distribution of the prime numbers
Bulletin of Applied Mathematics and Mathematics EducationThis research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author's fascination with mathematics and the desire to discover something novel.
Lolav Ahmed Khalil
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Foundations of Data Science, 2018
An introduction to the mathematics of the Poisson random graph, the simplest model of a random network. The chapter starts with a definition of the model, followed by derivations of basic properties like the mean degree, degree distribution, and ...
Michael Schweinberger
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An introduction to the mathematics of the Poisson random graph, the simplest model of a random network. The chapter starts with a definition of the model, followed by derivations of basic properties like the mean degree, degree distribution, and ...
Michael Schweinberger
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A mathematical model for distributed free space
1979 International Workshop on Managing Requirements Knowledge (MARK), 1979To have fast response time is often a requirement for a data base system especially in the on-line environment such as inventory control, stock quotation or hotel/airline reservation. This requirement for fast response time can be easily obtained by carefully organizing the file at loading time. Due to subsequent insertions, the file structure designed
Y. H. Chin, S. H. Yu
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Mathematical Models of Distribution of Sediment Concentration
Journal of Hydraulic Engineering, 2000Mathematical models have been developed that can completely describe the distribution of sediment concentration from the channel bed to the water surface. These models can be used to estimate the mean (depth-averaged) sediment concentration by a quick, point sampling in river engineering practice.
Chiu, Chao-Lin +2 more
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A mathematical theory of size distributions in tissue culture
Journal of Mathematical Biology, 1983A model for growth of a tissue culture consisting of cell clumps is given. A set of equations for following the size distribution of clumps is used to determine total biomass accumulation. Existence and uniqueness of a solution to the equations is proved, and estimates of the biomass growth is given in a number of situations.
Chipot, Michel, Edelstein, Leah
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A mathematical analysis of the DCT coefficient distributions for images
IEEE Transactions on Image Processing, 2000Over the past two decades, there have been various studies on the distributions of the DCT coefficients for images. However, they have concentrated only on fitting the empirical data from some standard pictures with a variety of well-known statistical distributions, and then comparing their goodness of fit.
Goodman, JW, Lam, EY
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Multiplication of Distributions in Mathematical Physics
2016We expose a mathematical method that permits to treat calculations in form of multiplications of distributions that arise in various areas of mathematical physics, starting with an analysis of the famous Schwartz impossibility result (1954), then a construction of products of distributions, with examples and references of use in various domains of ...
J. Aragona +4 more
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Basics in Mathematics and Distributed Algorithms
2012In this chapter, we study briefly the mathematical foundations for building self-organizing mechanical systems. First, we discuss diffusion dynamics in a physical continuum, and then introduce reaction-diffusion systems that generate spatial patterns, and cellular automaton models which behave like those continuous systems in discrete state, space and ...
Haruhisa Kurokawa, Satoshi Murata
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Mathematical Modeling of Cell Distribution in Alginate Microbeads
Materials Science Forum, 2005Alginate is one of the mostly used hydrogels for cell entrapment aimed for applications in food industry, environmental engineering, pharmacy and biomedicine. One of the major parameters affecting cell viability and activity is cell distribution inside the immobilization matrix.
Obradović, B. +5 more
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