Preprint Concept Paper Version 3 Preserved in Portico This version is not peer-reviewed

Generalizing The Mean

Version 1 : Received: 2 June 2022 / Approved: 6 June 2022 / Online: 6 June 2022 (08:37:20 CEST)
Version 2 : Received: 6 June 2022 / Approved: 7 June 2022 / Online: 7 June 2022 (08:17:39 CEST)
Version 3 : Received: 9 June 2022 / Approved: 9 June 2022 / Online: 9 June 2022 (09:02:53 CEST)
Version 4 : Received: 16 June 2022 / Approved: 17 June 2022 / Online: 17 June 2022 (08:54:36 CEST)

How to cite: Krishnan, B. Generalizing The Mean. Preprints 2022, 2022060068. https://doi.org/10.20944/preprints202206.0068.v3 Krishnan, B. Generalizing The Mean. Preprints 2022, 2022060068. https://doi.org/10.20944/preprints202206.0068.v3

Abstract

I want to find methods that compute a unique, satisfying average for functions defined on non-fractal, measurable sets in the sense of Carathedory which have no gauge function (or dimension function).

Keywords

Hausdorff Measure; Fractals; Gauge Function; Dimension Function; Set Theory

Subject

Computer Science and Mathematics, Mathematics

Comments (1)

Comment 1
Received: 9 June 2022
Commenter: Bharath Krishnan
Commenter's Conflict of Interests: Author
Comment: I explained my intuition for the choices made in Section 4.4. I also edited the mistakes made in the previous paper.
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