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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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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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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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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 ...
Satoshi Murata, Haruhisa Kurokawa
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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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Mathematical models of nonuniform intrapulmonary gas distribution
The Bulletin of Mathematical Biophysics, 1965Mathematical models of nonuniform gas distribution in the lungs which assume a two-chambered lung to be ventilated through a third chamber, i.e. a common dead space, have led to diverging results. A breath-by-breath analysis of such a system results in a two-exponential solution whereas a continuous ventilation analysis gives a three-exponential ...
J T, Mulligan, A, Bouhuys
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Mathematical modelling of distributed feed in continuous sedimentation
Simulation Modelling Practice and Theory, 2006Abstract One-dimensional modelling of continuous sedimentation process is considered in this paper. The process is described by a scalar conservation law in the form of a partial differential equation. A new way of modelling the feed section of the continuous settler is proposed.
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Relations Between Students’ Mathematics Anxiety and Motivation to Learn Mathematics: a Meta-Analysis
Educational Psychology Review, 2021Yukiko Maeda, Qian Li, Jimena Cosso
exaly