On Hardware for Computing Exponential and Trigonometric Functions
IEEE Transactions on Computers
Some preconditioning techniques for linear systems
WSEAS Transactions on Mathematics
Introduction to the elliptical trigonometry
WSEAS Transactions on Mathematics
WSEAS Transactions on Circuits and Systems
WSEAS Transactions on Circuits and Systems
CSS'10 Proceedings of the 4th international conference on Circuits, systems and signals
Introduction to the rectangular trigonometry in Euclidian 2D-space
WSEAS Transactions on Mathematics
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The General Trigonometry is a new trend of trigonometry introduced by the author into the mathematical domain. It is introduced to replace the traditional trigonometry; it has huge advantages ahead the traditional one. It gives a general concept view of the trigonometry and forms an infinite number of trigonometry branches and each branch has its own characteristics and features. The concept of the General Trigonometry is completely different from the traditional one in which the study of angles will not be the relation between sides of a right triangle that describes a circle as the previous one, but the idea here is to use the relation between angles and sides of a geometrical form (e.g.: circle, elliptic, rectangle, quadrilateral ...) with the internal and external circles formed by the intersection of the geometrical form and the positive parts of x'ox and y'oy axis in the Euclidian 2D space and their projections. This new concept of relations will open a huge gate in the mathematical domain and it can resolve many complicated problems that are difficult or almost impossible to solve with the traditional trigonometry, and it can describe a huge number of multi form periodic signals. The most remarkable trigonometry branches are the "Elliptical trigonometry" and the "Rectangular trigonometry" introduced by the author and published by WSEAS. The importance of these trigonometry branches is that with one function, we can produce multi signal forms by varying some parameters. In this paper, an original study is introduced and developed by the author and some few examples are discussed only to give an idea about the importance of the General Trigonometry and its huge application in all scientific domains especially in Mathematics, Power electronics, Signal theory and processing and in Energy Economic Systems.