Look at this stack of 4 cups. (If possible, have some real plastic cups in the classroom.) It’s 16 cm high. How high would a stack of 8 cups be? Why? This is a bit of a trick question. Students are ...
Abstract: Hyperbolic tangent function is approximated using piecewise linear approximation. This approximation can be used in any embedded hardware architecture where occupied chip space is a ...
American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...
Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
Abstract: In this paper, the problem of simultaneously approximating a function and its derivative is formulated within the support vector machine (SVM) framework. The problem has been solved by using ...
ABSTRACT: Accurately approximating higher order derivatives is an inherently difficult problem. It is shown that a random variable shape parameter strategy can improve the accuracy of approximating ...
We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the ...
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