Avelanda
Biography
Mwelase Innocent Mazibuko, known by his pseudonym Avelanda, is a South African writer, artist, and researcher born on 4 January 1992. He studied Psychology and Linguistics at the University of the Free State, completing up to NQF Levels 6 and 7. His diverse career spans interpreting for the Department of Justice and Constitutional Development, winning the Maluti-A-Phofung Creative Writing Competition, and modelling for Levi?s and Mo?t & Chandon.
He has received international recognition, including the AEF Leonardo Da Vinci Scholarship (Italy) and the Academy Scholar Award (New York Art Academy). Mwelase has published poetry with Wingless Dreamer (India) and mathematical research with the Journal of Advanced Mathematics and Mathematics Education (Turkey) and the Indian Journal of Advanced Mathematics. Fluent in English and IsiZulu, he continues to explore the intersections of art, language, and science.
Research Interest
Psychology, Linguistics, Creative Writing, and Mathematical Theory
Abstract
Exploring Algebraic and Complex Solutions to Pell?s Equation and the Nature of Universal Bounds
Determining algebraic solutions to the Diophantine equation known as Pell?s equation. And deriving complex values which holds- given that such, is a plane which extends real numbers. If space in the natural order of the universe is limited, therefore such limitations are complex bounds where its relative points such as minima, and maxima, are extreme points of exhaustion. So that for a set of real numbers; such space cannot exist beyond the realm of its bounds where by definition; a complex set of numbers since outside its structure is a set whose objects have no place in the natural world. Then it is proven axiomatically, that sets of variation are also permutative, while imaginary and real numbers are only limits or bounds of sets, and not the limits in themselves for the natural order of the universe. Hence the universe is not flat.
