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Mathematical limits of multilocus models: the genetic transmission of bipolar disorder.
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Towards Limit Computable Mathematics
2002The notion of Limit-Computable Mathematics (LCM) will be introduced. LCM is a fragment of classical mathematics in which the law of excluded middle is restricted to ?20-formulas. We can give an accountable computational interpretation to the proofs of LCM. The computational content of LCM-proofs is given by Gold's limiting recursive functions, which is
Susumu Hayashi, Masahiro Nakata
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Mathematical Models: Uses and Limitations
IEEE Transactions on Reliability, 1971Mathematical 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
1982It 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, 1954Statistics 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, 2019Physical 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, 2010In 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, 2019Creativity 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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The Limitations of Mathematical Logic
2013Despite 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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