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

Lizichen Chen

doi:10.20944/preprints202305.0825.v4

Preprint Short Note Version 4 Preserved in Portico This version is not peer-reviewed

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)

A problem involving the government's inspection of coins in Lower Slobbovia is discussed in the \emph{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. This note provides effective methods to achieve the identification of coiners using dirac delta function and singularity function. Moreover, unit-order construction of continuum mappings and discretization of unique basis vectors with semi-expansion are established in S-base space.

inspection of coins; continuum mappings; S-base space

Computer Science and Mathematics, Applied Mathematics

Comment 1

Received: 12 September 2023
Commenter: Lizichen Chen
Commenter's Conflict of Interests: Author

Comment: Fixed some errors in description.

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

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