Results 201 to 210 of about 4,635,479 (268)

Physical Mathematics

, 2019
Unique in its clarity, examples, and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research.
K. Cahill
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Mathematical Models: Uses and Limitations

IEEE Transactions on Reliability, 1971
Mathematical modeling is a technique that engineers use to solve any practical problem. Its severe limitations and pitfalls are illustrated.
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Limitations to Mathematical Knowledge

1982
It is universally acknowledged that there are practical limitations to what we can compute, describe, communicate and prove. This paper is concerned with the possibility that there are limitations in principle . Some consequent restrictions on what can ever be known about the natural numbers are described, and there is a brief discussion of the ...
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Limits of Mathematics in Statistics

The American Statistician, 1954
Statistics as a Profession In 1944-45 the American Statistical Association approached the latter problem in connection with the development of the National Roster of Scientific and Specialized Personnel. Jointly with the Institute of Mathematical Statistics, the Association took part in defining the profession of statistics. They defined a statistician
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On physical limitations of mathematical constructions used in mathematical models

Pramana, 2019
Physical limitations of mathematical constructions are discussed, which should be taken into account in developing or modifying mathematical models. We begin with consideration of the method of describing physical objects using numbers and restrictions followed from this method.
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Mathematical moiré models and their limitations

Journal of Modern Optics, 2010
In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moire effects. Here, we extend the discussion to other mathematical models that are also being used in the moire theory: the classical indicial equations method for modelling the moire fringes between periodic or curvilinear gratings, and two
Isaac Amidror, Roger D. Hersch
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Mathematical limit theorems for computational creativity

IBM Journal of Research and Development, 2019
Creativity is the generation of an idea or artifact judged to be novel and high-quality by a knowledgeable social group, and is often said to be the pinnacle of intelligence. Several computational creativity systems of various designs are now being demonstrated and deployed.
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A cognitive analysis of Cauchy’s conceptions of function, continuity, limit and infinitesimal, with implications for teaching the calculus

Educational Studies in Mathematics, 2014
In this paper, we use theoretical frameworks from mathematics education and cognitive psychology to analyse Cauchy’s ideas of function, continuity, limit and infinitesimal expressed in his Cours D’Analyse.
D. Tall, M. Katz
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The Limitations of Mathematical Logic

2013
Despite the limitations of Frege’s and Gentzen’s analysis of deduction, throughout the twentieth century mathematical logic has been extolled, and the importance of Aristotle’s logic downplayed. For example, Russell states that mathematical logic gives thought “wings. It has, in my opinion, introduced the same kind of advance into philosophy as Galileo
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A mathematical model for self-limiting brain tumors

Journal of Theoretical Biology, 2003
It is puzzling that certain brain tumors exhibit arrested exponential growth. We have observed in pediatric low-grade astrocytomas (LGA) at a certain volume approximately 100-150 cm(3) that the tumor ceases to grow. This observation led us to develop a macroscopic mathematical model for LGA growth kinetics that assumes the flow through the surface of ...
Newman, William I., Lazareff, Jorge A.
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