Article
Version 1
Preserved in Portico This version is not peer-reviewed
Exploring Convexity and its Uniqueness
Version 1
: Received: 12 October 2023 / Approved: 13 October 2023 / Online: 13 October 2023 (11:31:29 CEST)
Version 2 : Received: 13 October 2023 / Approved: 16 October 2023 / Online: 16 October 2023 (10:15:56 CEST)
Version 2 : Received: 13 October 2023 / Approved: 16 October 2023 / Online: 16 October 2023 (10:15:56 CEST)
How to cite: Diedrich, E. Exploring Convexity and its Uniqueness. Preprints 2023, 2023100882. https://doi.org/10.20944/preprints202310.0882.v1 Diedrich, E. Exploring Convexity and its Uniqueness. Preprints 2023, 2023100882. https://doi.org/10.20944/preprints202310.0882.v1
Abstract
This article explores the relationship between convex functions defined on integers ($\mathbb{Z}$) and their extension to real numbers ($\mathbb{R}$). We introduce key definitions and investigate the hypothesis that there exists a unique convex curve within this family of functions, leading to a proof by contradiction. Our findings highlight the preservation of convexity as functions transition from integers to real numbers.
Keywords
Convexity in N; Convexity in R; Optimization, Suppor Vector Machines
Subject
Computer Science and Mathematics, Artificial Intelligence and Machine Learning
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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