Short Note
Version 3
Preserved in Portico This version is not peer-reviewed
Continuum Mapping and S-base Space Solution to Coin Weighing Problem
Version 1
: Received: 10 May 2023 / Approved: 11 May 2023 / Online: 11 May 2023 (08:41:46 CEST)
Version 2 : Received: 16 May 2023 / Approved: 17 May 2023 / Online: 17 May 2023 (10:46:44 CEST)
Version 3 : Received: 20 May 2023 / Approved: 22 May 2023 / Online: 22 May 2023 (13:34:58 CEST)
Version 4 : Received: 9 September 2023 / Approved: 11 September 2023 / Online: 12 September 2023 (05:00:39 CEST)
Version 2 : Received: 16 May 2023 / Approved: 17 May 2023 / Online: 17 May 2023 (10:46:44 CEST)
Version 3 : Received: 20 May 2023 / Approved: 22 May 2023 / Online: 22 May 2023 (13:34:58 CEST)
Version 4 : Received: 9 September 2023 / Approved: 11 September 2023 / Online: 12 September 2023 (05:00:39 CEST)
How to cite: Chen, L. Continuum Mapping and S-base Space Solution to Coin Weighing Problem. Preprints 2023, 2023050825. https://doi.org/10.20944/preprints202305.0825.v3 Chen, L. Continuum Mapping and S-base Space Solution to Coin Weighing Problem. Preprints 2023, 2023050825. https://doi.org/10.20944/preprints202305.0825.v3
Abstract
A problem involving the government's inspection of coins in Lower Slobbovia is discussed in the American Mathematical Monthly. It is desirable to classify and correct counterfeit coins by utilizing the fewest possible measures. However, previous article only proves the existence of the solution, which does not give a practical solution to the problem. In this article, we provide an effective method to achieve the identification of coin heaps using Dirac delta functions, Singularity functions (and their selectivity), unit-order construction of continuum mappings and construction of discretization of unique basis vectors without attempted expansions in S-base space.Finally, possible applications of this mathematical approach in gene mutation detection are also presented.
Keywords
Inspection of coins; Continuum mappings; S-base space
Subject
Computer Science and Mathematics, Applied Mathematics
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.
Comments (1)
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Commenter: Lizichen Chen
Commenter's Conflict of Interests: Author
2.The core problem for the final solution of this problem is presented, which involves the decomposition of large prime factors.
3.Added some proofs involving theorems of number theory.