Abstract:This work provides a fomular used to generate a Cantor set of any segment. This is called the Lower Bound Numerator Generator$(LBNG)$. In this new approach, you can construct a specified segment of Cantor set without having to first construct the segment before. This approach guarantees accuracy, effectiveness and efficiency and speed. The construction of the Cantor set using the other approaches is rigorous, time demanding and complicated compared to this approach.
Keywords: Lower bound , Closed set, Cantor set , Disconnected set , Compact set , Dense set.
How to cite this article:
S. Effah-Poku, W. Obeng-Denteh, I. Owusu Mensah and R. K. Ansah, Dymamics on Unique Numerators for Generating the Cantor Set, International Journal of Advances in Mathematics, Volume 2018, Number 1, Pages 57-72, 2018.