ARCHIMEDES' PRINCIPLE OF FLOTATION AND FLOATING BODIES: CONSTRUCTION, EXTENSIONS AND RELATED PROBLEMS

doi:10.1007/s10473-025-0119-5

Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (1): 237-256.doi: 10.1007/s10473-025-0119-5

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ARCHIMEDES' PRINCIPLE OF FLOTATION AND FLOATING BODIES: CONSTRUCTION, EXTENSIONS AND RELATED PROBLEMS

Chunyan Liu¹, Elisabeth M. Werner², Deping Ye³, Ning Zhang⁴

1. School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430048, China;
2. Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106, USA;
3. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7;
4. School of Mathematics and Statistics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China

Received:2024-09-22 Revised:2024-10-26 Published:2025-02-06
About author:Chunyan Liu, E-mail,: chunyanliu@whpu.edu.cn; Elisabeth M. Werner, E-mail,: elisabeth.werner@case.edu; Deping Ye, E-mail,: deping.ye@mun.ca; Ning Zhang, E-mail,: nzhang2@hust.edu.cn
Supported by:
Chunyan Liu's work was supported by the Research Funding of Wuhan Polytechnic University (2024RZ083). Elisabeth M. Werner's work was supported by the NSF grant DMS-2103482. Deping Ye's work was supported by an NSERC grant, Canada. Ning Zhang's work was supported by the NSF of China (11901217, 11971005).

Abstract

CLC Number:

52A20

Chunyan Liu, Elisabeth M. Werner, Deping Ye, Ning Zhang. ARCHIMEDES' PRINCIPLE OF FLOTATION AND FLOATING BODIES: CONSTRUCTION, EXTENSIONS AND RELATED PROBLEMS[J].Acta mathematica scientia,Series B, 2025, 45(1): 237-256.

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References

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ARCHIMEDES' PRINCIPLE OF FLOTATION AND FLOATING BODIES: CONSTRUCTION, EXTENSIONS AND RELATED PROBLEMS

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