Articles — Lecture Notes

Disciplina de Sistemas Nebulos, PPGEE/UFMG - Resumo dos artigos : NOZAKI, K.; ISHIBUCHI, H.; TANAKA, H. A simple but powerful heuristic method for generating fuzzy rules from numerical data. Fuzzy sets and systems, Elsevier, v. 86, n. 3, p. 251–270, 1997. WANG, L.-X.; MENDEL, J. M. Generating fuzzy rules by learning from examples. Systems, Man and Cybernetics, IEEE Transactions on, IEEE, v. 22, n. 6, p. 1414–1427, 1992.

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Fast exponentiation

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Lecturas de la clase de Elemento Finito impartida en la Carrera de Matemática de la Universidad Nacional Autónoma de Honduras

The lecture notes are based on Tom Coates' lecture on toric varieties. A few references: M. Audin, Toric actions on symplectic manifolds W. Fulton, Toric varieties Cox-Schenck-Little, Toric varieties

Discret Hartley Transform is a unitary transform although its proof is hard to find in the Web. This short note explains that the Discrete Hartley Transform is an involution, which implies that this transform is unitary indeed.

Collection of statistics formulae taken from the perennial text book Lind, Douglas A. et. al. (2015): Statistical Techniques in Business and Economics, 16 ed. (2015).

This problem is an applied optimization problem. The problem is to minimize the area of the triangle formed by a tangent line to the function y = 1⁄9 x2. The triangle is defined by the origin, the x-intercept of the tangent line, and the y-intercept of the tangent line. Only triangles formed in the first quadrant are of concern.