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Random graphs

ACM-SIAM Symposium on Discrete Algorithms, 2006
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 ...
Alan M. Frieze
semanticscholar   +1 more source

A mathematical model for distributed free space

1979 International Workshop on Managing Requirements Knowledge (MARK), 1979
To 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
openaire   +3 more sources

Mathematical Models of Distribution of Sediment Concentration

Journal of Hydraulic Engineering, 2000
Mathematical 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
openaire   +2 more sources

A mathematical theory of size distributions in tissue culture

Journal of Mathematical Biology, 1983
A 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
openaire   +5 more sources

Multiplication of Distributions in Mathematical Physics

2016
We 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
openaire   +2 more sources

A mathematical analysis of the DCT coefficient distributions for images

IEEE Transactions on Image Processing, 2000
Over 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
openaire   +5 more sources

Basics in Mathematics and Distributed Algorithms

2012
In 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
openaire   +2 more sources

Mathematical Modeling of Cell Distribution in Alginate Microbeads

Materials Science Forum, 2005
Alginate 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
openaire   +4 more sources

A Mathematical Model to Determine the Temperature Distribution of a Distribution Transformer

2019 Moratuwa Engineering Research Conference (MERCon), 2019
The paper presents a mathematical model of a transformer, developed to determine its temperature distribution. The thermodynamic heat conduction equation is used to derive the equations governing the heat transfer. These have been discretized using finite element analysis and solved using the software COMSOL Multiphysics, taking core loss and conductor
J. R. Lucas   +3 more
openaire   +2 more sources

Mathematical considerations of the modified normal distribution

Bulletin géodésique, 1967
In this paper, Romanowski’s modified normal distribution is considered from the mathematical standpoint. Initially, the characteristic function is computed. This function is then utilized to (1) compute moments, (2) demonstrate normal tendency as the modulating (“a”) parameter tends to infinity, (3) to formulate the modified normal distribution in ...
openaire   +3 more sources

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