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The effect of socioeconomic status on academic achievement: A big data study across countries and time with integrative data analysis. [PDF]
PLoS OneYigiter MS.
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Understanding of limits and differentiation as threshold concepts in a first-year mathematics course
, 2018 Greg Oates +3 more
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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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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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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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Descartes on the limited usefulness of mathematics
Synthese, 2017Descartes 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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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 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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A visualization of the limit: Experimental mathematics
Journal of Educational Studies in Mathematics and Computer ScienceThe limit value of a function is a fundamental mathematical notion that describes how a function behaves close to a given point lim𝑥→𝑥0 𝑓(𝑥). We first met the limits of a function in high school mathematics classes, and we later applied it in various areas, most notably physics.
Milan Kovačević +2 more
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