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The Mathematics of the Pentium Division Bug

SIAM Review, 1997
Summary: Despite all of the publicity surrounding the Pentium bug of 1994, the mathematical details of the bug are poorly understood. We discuss these details and supply a new proof of the Coe-Tang result that the at-risk divisors have six consecutive ones in positions 5 through 10.
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Mathematical model for contact inhibited cell division

Journal of Theoretical Biology, 1983
We 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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Mathematical biophysics of cell division

The Bulletin of Mathematical Biophysics, 1943
Summary: The 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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Mathematical Sciences Division 1992 Programs

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, 2009
Many 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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Teaching Mathematics With Technology: Calculators and Division

The Arithmetic Teacher, 1990
Calculators help teachers teach in ways thot encourage students to become actively involved in their learning. This personal involvement is certainly consistent with the goals set forth in NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). Calculators also allow the exploration of exercises that, although beyond the computational
Virginia E. Usnick, Patricia M. Lamphere
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A note on the mathematics of microsphere division

Bulletin of Mathematical Biology, 1973
Microspheres, laboratory models of the primordial cell, may correspond to the ideal cell to which Rashevsky's diffusion drag approach to cell division applies, though due to a lack of quantitative data the correspondence can not now be proved.
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Applied and Computational Mathematics Division:

This report summarizes recent technical work of the Applied and Computational Mathematics Division of the Information Technology Laboratory at the National Institute of Standards and Technology (NIST). Part I (Overview) provides a high-level overview of the Division’s activities, including highlights of technical accomplishments during the previous ...
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A Two-Year Lower-Division Mathematics Sequence

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, 1995
From 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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