Incorporating spatial diffusion into models of bursty stochastic transcription. [PDF]
Miles CE.
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Glucose enzymes reaction in a spherical matrix using HPM and HFM. [PDF]
Suguna M+5 more
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Molecular set theory: A mathematical representation for chemical reaction mechanisms
The present investigation is part of a program aimed at examining the mathematical basis of reaction rate theory (Bartholomay,Bull. Math. Biophys. 20, 1958) from the point of view of individual molecular events. Certain inconsistencies resulting from the classical procedure of using stoichiometric “chemical equations” to represent the ...
Anthony F. Bartholomay
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A MATHEMATICAL THEORY OF DESIGN Representation of Design Artifacts (Part I)
Abstract This study presents a Formal General Design Theory (FGDT), a mathematical theory of design. The main goal of FGDT is to lay out a domain independent modeling of design artifacts ( ‘Part I’) and the design process ( ‘Part II’ ). We discuss issues such as: the scope of the theory with respect to real design and the guidelines it provides for ...
Oded Maimon, Dan Braha
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Formal Representation of Mathematics in a Dependently Typed Set Theory
We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type theory. We use the formalized material to illustrate some interesting aspects of the relationship between informal presentations of mathematics and their formal representation.
Feryal Fulya Horozal, Chad E. Brown
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LOCAL REPRESENTATION THEORY (Cambridge Studies in Advanced Mathematics 11)
K. W. Gruenberg
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Mathematical Representations of Development Theories [PDF]
In this chapter we explore the consequences of particular stage linkage structures for the evolution of a population. We first argue the importance of constructing dynamic models of development theories and show the implications of various stage connections for population movements.
Burton H. Singer, Seymour Spilerman
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MODULAR REPRESENTATION THEORY: NEW TRENDS AND METHODS (Lecture Notes in Mathematics, 1081) [PDF]
Peter Webb
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Adaptive mathematical morphology: A unified representation theory
2009 16th IEEE International Conference on Image Processing (ICIP), 2009In this paper, we present a general theory of adaptive mathematical morphology (AMM) in the Euclidean space. The proposed theory preserves the notion of a structuring element, which is crucial in the design of geometrical signal and image processing applications.
Nidhal Bouaynaya, Dan Schonfeld
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HARMONIC MAPS AND MINIMAL IMMERSIONS THROUGH REPRESENTATION THEORY (Perspectives in Mathematics 12)
Paul Baird
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