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Cakmak, Devrim – International Journal of Mathematical Education in Science and Technology, 2010
In this note, by using elementary calculus on time scales, we recall the direct proof of the equivalence between Rolle's and generalized (Cauchy's) mean value theorems on time scales.
Descriptors: Calculus, Mathematical Logic, Validity, Mathematics Education
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Srinivasan, V. K. – International Journal of Mathematical Education in Science and Technology, 2010
The purpose of this article is to discuss specific techniques for the computation of the volume of a tetrahedron. A few of them are taught in the undergraduate multivariable calculus courses. Few of them are found in text books on coordinate geometry and synthetic solid geometry. This article gathers many of these techniques so as to constitute a…
Descriptors: Geometry, Calculus, Computation, Mathematics Instruction
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Ryden, Jesper – International Journal of Mathematical Education in Science and Technology, 2008
Extreme-value statistics is often used to estimate so-called return values (actually related to quantiles) for environmental quantities like wind speed or wave height. A basic method for estimation is the method of block maxima which consists in partitioning observations in blocks, where maxima from each block could be considered independent.…
Descriptors: Simulation, Probability, Computation, Nonparametric Statistics