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Mathematical moiré models and their limitations [PDF]

open access: possibleJournal 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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Descartes on the limited usefulness of mathematics [PDF]

open access: possibleSynthese, 2017
Descartes held that practicing mathematics was important for developing the mental faculties necessary for science and a virtuous life. Otherwise, he maintained that the proper uses of mathematics were extremely limited. This article discusses his reasons which include a theory of education, the metaphysics of matter, and a psychologistic theory of ...
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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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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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Mathematical limitations of the CIE mesopic photometry system

Lighting Research & Technology, 2016
The International Commission on Illumination (CIE) has published a recommended system for mesopic photometry based on visual performance. The system provides means for determining mesopic photometric values based on measuring the spectral composition and intensity of light. The system uses an iterative calculation method. We investigate the conditions
Kärhä, Petri   +3 more
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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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