26 июл. 2017 г. · The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of N electrons constrained to the ... |
23 дек. 2019 г. · The 2D Thomson problem has been solved by Harvey Cohn in 1960 using the then recent Morse theory. For equal charges the only stable solution ... |
12 июн. 2023 г. · But this is easy to fix: simply shrink the cube by √3: C′=1√3C and this scales the T in the same way: T′=1√3T such that T′ is now inscribed in S ... |
24 янв. 2020 г. · Using this dimensions, one can reproduce the energy 19.675287861 on wiki page of Thomson problem. The volume of this anti-prism is 23(5+√2)cs2≈ ... |
I'm interested to know if for a d=1,2 sphere, the optimal configuration for N particles to minimize the following energy-functional U(→ri)=∑i>jf(|→ri−→rj|) ... |
23 апр. 2022 г. · Define the origin as the centre of the sphere and construct a regular tetrahedron on the sphere with its vertices at a,b,c,d. |
23 дек. 2012 г. · I'm trying to solve the Thomson Problem, i.e we have N repelling point charges on a (hyper)sphere of dimension m and we want to determine ... |
17 июл. 2013 г. · The Thomson's Lamp paradox: A mad scientist owns a desk lamp. It begins in the toggled on position. The scientist toggles the lamp off after one minute, then ... |
11 янв. 2023 г. · This is also known as the Thomson problem. Does anyone know of a way to find a set of vectors (vi)ki=1 on the unit n-sphere such that they ... |
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