Polar Integers and Polar Integer Optimization

  • Yuly Shipilevsky private author,Toronto, Ontario, Canada
Keywords: Complex plane; Integer Lattice; Optimization; Polar Coordinate System; Target Function; Quaternions

Abstract

This is a pioneering work, introducing a special class of complex numbers, wherein their absolute values and arguments given in a Polar coordinate system are integers, which when considered within the complex plane, constitute Unicentered Radial Lattice and similarly for quaternions and Euclidean R2 and R3   Spaces. The corresponding Optimization Problems are introduced as well.

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Published
2022-06-25
How to Cite
Shipilevsky, Y. (2022). Polar Integers and Polar Integer Optimization . Statistics, Optimization & Information Computing, 10(3), 925-934. https://doi.org/10.19139/soic-2310-5070-1327
Section
Research Articles