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Continuity of all Algorithmic Functions on Left Numbers
- 1 Nanjing Foreign Language School, Nanjing 210036, China
- 2 Kunlun, RDFZ Chaoyang Branch School, Beijing 100028, China
* Author to whom correspondence should be addressed.
Abstract
A constructive Function is a computer program that transforms a Constructive Real Number (CRN) into another CRN. A left number is a program that generates an increasing sequence of rational numbers with an upper bound. We use algorithmic functions to generate CRNs and Left numbers. In this essay, we will prove the continuity of such functions on Left numbers in topological space with the base of right rays.
Keywords
CF (constructive function), algorithmic functions, CRN (constructive real number), Left number, Topological space
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Cite this article
Chen,W.;Zhang,W. (2023). Continuity of all Algorithmic Functions on Left Numbers. Theoretical and Natural Science,5,47-52.
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Volume title: Proceedings of the 2nd International Conference on Computing Innovation and Applied Physics (CONF-CIAP 2023)
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