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Mathematical biophysics of cell division
The Bulletin of Mathematical Biophysics, 1943The new fundamental equation, based on the principle of maximum energy exchange, is applied to the case of elongation and constriction of a cell. A simple case is treated as an illustration, and it is shown that the elongation curves thus obtained are of the same character as in the old theory.
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About the Mathematics of Division: Implications for Students With Disabilities
Exceptionality, 2003The general purpose of this article is to highlight many of the components of the mathematics of division. These elements (e.g., identity elements, such as when a number is divided by 1, etc.) should be integral to any curriculum and instructional practice and they should be explicitly addressed to assure students an opportunity to learn.
Teresa E. Foley, John F. Cawley
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Mathematical Sciences Division 1992 Programs [PDF]
, 1992 Abstract : This report documents research performed under-the sponsorship of the ONR Mathematical Sciences Division during fiscal year 1992.... Discrete Mathematics, Numerical Analysis, Applied Analysis, Operations Research, Probability and Statistics, Signal ...
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Mathematical induction, difference equations and divisibility
International Journal of Mathematical Education in Science and Technology, 2009Many exercises in mathematical induction require the student to prove a divisibility property of a function of the integers. Such problems are generally presented as being independent of each other. However, many of these problems can be presented in terms of difference equations, and the theory of difference equations can be used to provide a uniform ...
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Mathematical model for contact inhibited cell division
Journal of Theoretical Biology, 1983We present a mathematical model for cell growth, which takes into account cell-cell interactions and leads to non-exponential inhibited growth of number of cells. The resulting difference equation is solved and extended to a differential equation which turns out to be of a non-linear diffusion type.
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Computer-Oriented Mathematics: Polynomial Synthetic Division
The Mathematics Teacher, 1970Synthetic division is a technique found in most high school algebra texts for dividing a polynomial by a linear term.
Larry Kauvar, Irwin Hoffman
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Note on the Mathematical Formalization of A Measure of Division of Labor
Social Forces, 1970T he division of labor is one of the most important concepts in sociology and is almost as old as sociology itself. Durkheim and Weber, fathers of modern sociological theory, considered it to be one of the major features of modern society and of bureaucracy, and before them Adam Smith wrote of its significance for industrial systems. It continues to be
William A. Rushing, Vernon Davies
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Mathematical modeling of a minimal protocell with coordinated growth and division
Journal of Theoretical Biology, 2009Self-replication is an essential attribute of life but the molecular-level mechanisms involved are not well understood. Cellular self-replication requires not only duplicating all cellular components and doubling volume and membrane area, but also replicating cellular geometry.
Ivan V. Surovtsev +3 more
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A Two-Year Lower-Division Mathematics Sequence [PDF]
, 1983 There has long been some criticism of the way in which the calculus lords it over the traditional lower-division mathematics curriculum. Growth of “new applications” and the prevalence of digital computing devices have recently been making thoughtful people increasingly uneasy about the relative neglect of discrete mathematics at that level.
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Long division solves the mathematics of inverse convolution
The Leading Edge, 1995From time to time during my lecturing in geophysics, I have to explain the logical understanding and application of seismic exploration. Occasionally, I come across seismic processing methods which I cannot simply explain, apart from having to refer students to appropriate mathematical literature.
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