Version 1
: Received: 3 September 2024 / Approved: 5 September 2024 / Online: 5 September 2024 (12:34:46 CEST)
Version 2
: Received: 7 October 2024 / Approved: 8 October 2024 / Online: 9 October 2024 (06:11:31 CEST)
Version 3
: Received: 14 October 2024 / Approved: 15 October 2024 / Online: 15 October 2024 (08:10:36 CEST)
Version 4
: Received: 16 October 2024 / Approved: 16 October 2024 / Online: 16 October 2024 (11:51:32 CEST)
How to cite:
Krishnan, B. Finding a Published Research Paper which Meaningfully Averages the Most Pathalogical Functions (V2). Preprints2024, 2024090436. https://doi.org/10.20944/preprints202409.0436.v4
Krishnan, B. Finding a Published Research Paper which Meaningfully Averages the Most Pathalogical Functions (V2). Preprints 2024, 2024090436. https://doi.org/10.20944/preprints202409.0436.v4
Krishnan, B. Finding a Published Research Paper which Meaningfully Averages the Most Pathalogical Functions (V2). Preprints2024, 2024090436. https://doi.org/10.20944/preprints202409.0436.v4
APA Style
Krishnan, B. (2024). Finding a Published Research Paper which Meaningfully Averages the Most Pathalogical Functions (V2). Preprints. https://doi.org/10.20944/preprints202409.0436.v4
Chicago/Turabian Style
Krishnan, B. 2024 "Finding a Published Research Paper which Meaningfully Averages the Most Pathalogical Functions (V2)" Preprints. https://doi.org/10.20944/preprints202409.0436.v4
Abstract
I want to meaningfully average a pathalogical function (i.e., an everywhere surjective function whose graph has zero Hausdorff measure in its dimension). In case this impossible, we wish to average a nowhere continuous function defined on the rationals. We do this by taking the most generalized, satisfying extension of the expected value, w.r.t the Hausdorff measure in its dimension, on bounded functions with domains of finite measure which takes finite values only. As of now, I’m unable to solve this due to limited knowledge of advanced math and most people are too busy to help. Therefore, I’m wondering if anyone knows a research paper which solves my doubts. Unlike the previous paper, “Finding a Research Paper Which Meaningfully Averages Pathalogical Functions”) we add motivations, examples, and change parts of the original paper.
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.