1997 | OriginalPaper | Chapter
Discrete Polar Coordinates
Authors : Ravi P. Agarwal, Patricia J. Y. Wong
Published in: Advanced Topics in Difference Equations
Publisher: Springer Netherlands
Included in: Professional Book Archive
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The importance of polar coordinates abound in mathematical sciences. However, its use so far has been confined to the continuous case. Here, we shall provide the explicit transformation formulae between discrete Cartesian coordinates, by which we mean n-tuples of integers, and what we shall call discrete polar coordinates, which will also be having integral coordinates. Finally, as an application we will develop a new discrete inequality of “integro-differential” type.