Finding a Published Which Meaningfully Averages The Most Pathalogical Functions

Bharath Krishnan

doi:10.20944/preprints202409.0436.v1

Preprint Concept Paper Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 3 September 2024 / Approved: 5 September 2024 / Online: 5 September 2024 (12:34:46 CEST)

I want to meaningfully average a pathalogical function (i.e., an everywhere surjective function whose graph has zero Hausdorff measure in its dimension). 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 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.

Expected Values; Hausdorff measure; Hausdorff dimension; Discretization; Partitions; Sample; Euclidean Distance; Choice Function; Pathalogical Functions; Functions

Computer Science and Mathematics, Mathematics

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Finding a Published Which Meaningfully Averages The Most Pathalogical Functions

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