Sunday, 22 November 2009

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 42-112
Full Name: Claude Bayeh
Position: Engineer
Age: ON
Sex: Male
Address: Dawra, Metn, lebanon
Country: LEBANON
Tel: 00961251690
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E-mail address: claude_bayeh_cbegdi@hotmail.com
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Title of the Paper: introduction to the general trigonometry in Euclidian 2D-space
Authors as they appear in the Paper: Claude Bayeh
Email addresses of all the authors: claude_bayeh_cbegrdi@hotmail.com
Number of paper pages: 10
Abstract: A big shock for the science and the mathematics, the General Trigonometry is introduced to replace the traditional trigonometry and the future will prove and demonstrate its importance and its huge advantage ahead the previous one. The General Trigonometry will be one of the most important phenomena introduced into the mathematical domain; 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 trigonometry 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 pos!
itive 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 is the "General Elliptical trigonometry" that has a huge advantage ahead the traditional one. The importance of this trigonometry is that we can produce multi signal forms by varying some parameters of a single function. In this paper, an original study is introduced and some few examples are discussed only so that one can get an idea about the importance of the General Trigonometry and its huge application in all scientific domains especially in Astronomy, power electronics and in Energy Economic Systems.
Keywords: Modern mathematics, trigonometry, angular function, multi form signal, power electronics
EXTENSION of the file: .doc
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