The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-882
Full Name: Claude Bayeh
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Saint Joseph Street, Dora
Country: LEBANON
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E-mail address: claude_bayeh_cbegrdi@hotmail.com
Other E-mails: c.bayeh@hotmail.com
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: 16
Abstract: 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 g!
ate 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.
Keywords: Modern mathematics, trigonometry, angular function, multi form signal, power electronics.
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