Continuum Mapping and S-base Space Solution to Coin Weighing Problem

Lizichen Chen

doi:10.20944/preprints202305.0825.v2

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preprints.org > computer science and mathematics > applied mathematics > doi: 10.20944/preprints202305.0825.v2

Preprint Short Note Version 2 Preserved in Portico This version is not peer-reviewed

Continuum Mapping and S-base Space Solution to Coin Weighing Problem

Lizichen Chen

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)

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.v2 Chen, L. Continuum Mapping and S-base Space Solution to Coin Weighing Problem. Preprints 2023, 2023050825. https://doi.org/10.20944/preprints202305.0825.v2

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MDPI and ACS Style

Chen, L. Continuum Mapping and S-base Space Solution to Coin Weighing Problem. Preprints 2023, 2023050825. https://doi.org/10.20944/preprints202305.0825.v2

APA Style

Chen, L. (2023). Continuum Mapping and S-base Space Solution to Coin Weighing Problem. Preprints. https://doi.org/10.20944/preprints202305.0825.v2

Chicago/Turabian Style

Chen, L. 2023 "Continuum Mapping and S-base Space Solution to Coin Weighing Problem" Preprints. https://doi.org/10.20944/preprints202305.0825.v2

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.

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Comments (1)

Comment 1

Received: 17 May 2023
Commenter: Lizichen Chen
Commenter's Conflict of Interests: Author

Comment: 1.In the second edition, some of the assumptions applied in the first edition of the model were modified.
2.Improved the approach of the model in practical applications and provided new insights.
3.Revised the statement of numerical system expansion in the title.

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