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Results tagged with mp.mathematical-physics
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user 31310
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
1
vote
1
answer
157
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Does this Mean Value have a Name?
Question:
does the following mean value have a name?
$$v^*=\sqrt{\frac{\sum_{i=1}^{n}\alpha_iv_i^2}{\sum_{i=1}^{n}\alpha_i}}, \alpha_i\in\mathbb{R}^+$$
where the $v_i$ are individual speed limits …
- 13.2k
2
votes
Along what curve does an ellipse roll down the fastest?
Let the ellipse have major axes of lengths $a\ge b\gt 0$.
"Enclose" the ellipse in a disk $D$ of with radius $r=a$ and let it roll without slip on the curve $B^+$ parallel at distance $a$ to the Brach …
- 13.2k
0
votes
0
answers
84
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Euclidean or Minkowski Metric for Clustering Spatio-Temporal Data?
Question:
when does using Minkowski metric $\quad\sqrt{x^2+y^2+z^2-t^2}\quad $for clustering $(x,y,z,t)$ data yield better results than using Euclidean metric $\quad\sqrt{x^2+y^2+z^2+t^2}\ $?
…
- 13.2k
5
votes
Is there a mathematical and information theoretic explanation for this cube packing phenomenon?
This should be seen as a comment, but it is too long for a comment:
One aspect, that has not been addressed in the answers, is the influence of the container geometry. In the experiment, a cylindri …
- 13.2k