641 karma · joined April 26, 2017
> The copyrights for Bambi, a Life in the Woods were inherited by Anna Wyler, Salten's daughter, who renewed them in 1954. After her death, Wyler's husband sold the rights to Twin Books, a publishing company which subsequently filed a lawsuit against Disney, claiming Disney owed it money for the continued licensing for the use of the book. Disney countered by claiming that Salten had published the story in 1923 without a copyright notice, thus it immediately entered into the public domain. Disney also argued that if the claimed 1923 publication date was accurate, then the copyright renewal filed in 1954 had been registered after the deadline and was thus invalid. The courts initially upheld Disney's view; however, in 1996, the Ninth Circuit Court reversed the decision on appeal in Twin Books Corp. v. Walt Disney Co., 83 F.3d 1162 (1996).[76][77]
I find the juxtaposition of Disney's highly zealous defense of this supposed intellectual property, and active destruction of the public domain, vs. its own questionable claims in the first place, and recourse to the public domain when suits its purposes, quite deeply ironic and hypocritical. If anything, specifying those deer to be Bambi-related only deepens my antipathy towards Disney, and sympathy for OP's parents.
for _ in range(10000):
for i in range(N_players):
if W[i] > 0:
j = np.random.randint(N_players)
W[i] -= 1
W[j] += 1
Fwiw your implementation will also relax towards an exponential distribution (try 10000000 iterations); it just converges at a different rate.It's quite sad to see it presented here without attribution; the appropriate reference is Michalek and Hanson, 2006 [1]. For the physically inclined, this [2] is a more detailed description of the underlying mechanics.
[1]: https://pubs.acs.org/doi/10.1021/ed083p581 [2]: http://hyad.es/boltzmann
The Pauli matrices in this context are isomorphic to quaternions, which certainly have been used to solve geometric problems in 3 dimensions (although not necessarily by physicists), as has been discussed many many times here on HN. The property of describing spin-1/2 particles (i.e. generating SU(2)) is precisely the same property that makes the quaternions amenable for use in reasoning about 3D rotations!
To get a feel for it (and why it may not necessarily be intuitive) consider the following pairs of symmetries and conservation laws:
- The laws of physics are invariant under time translation (i.e. repeating an experiment at different times gives you the same result ceteris paribus). The corresponding conserved quantity is energy.
- The laws of physics are invariant under spatial translation (i.e. repeating an experiment at two different places gives you the same result ceteris paribus). The corresponding conserved quantity is momentum (this is a vector: one component of momentum for each possible direction of translation).
- The laws of physics are invariant under rotation (i.e. repeating an experiment under different orientations gives you the same result ceteris paribus). The corresponding conserved quantity is angular momentum (again a vector, since the rotation group SO(3) has three generators).
- Electromagnetism, constructed as a classical field, exhibits an internal symmetry in the field quantities. The corresponding conserved quantity is the electrostatic charge (actually a 4-vector current).
It is not a priori obvious from from the kind of arguments you've supplied why these should be the case. Demonstrating these would require access to the Lagrangian formalism (i.e. action principles) and how it behaves under these symmetry operations. I would say that, as you suspect, you are fundamentally misunderstanding the situation.
[1]: http://tofspot.blogspot.com/2013/08/the-great-ptolemaic-smac...