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Questions related from Shuchang Zhang
I want to know if there's any general method to investigate a linear system restrained by a standard simplex. It's hard for me to start with such a system because if I directly regard it as...
24 March 2014 2,689 3 View
We know the greatest feature of Clifford algebra is coordinate-free. One can do vector operations without knowing the representation of vectors. And due to this very characteristic, Clifford or...
18 September 2013 4,101 4 View
Poincare lemma states that every smooth closed form in contractible subset is exact. The assumption actually represents a set of pdes that dd=0. Could Frobenius theorem be used to say that the...
29 August 2013 2,370 1 View
If any, please provide explanation (examples are best welcomed) and/or references.
18 June 2013 6,956 3 View
It seems Hamiltonian systems handle conservative systems because of invariant Hamiltonian and Lagrangian mechanics does so for it is equivalent to Hamiltonian mechanics. Is there anything a like...
10 May 2013 414 7 View
Feynman-Kac formula points out an SDE corresponds to a FPE. Given an SDE, I can simulate numerically by following the equation, then I can plot the histogram of the simulated single particle....
10 May 2013 3,979 8 View
I believe nearly all books concerning statistical mechanics cover Hamiltonian system. Then naturally Liouville's theorem and Boltzmann-Gibbs distribution are discussed. I don't see the connection...
10 May 2013 2,900 9 View
I want to know if a Markov process far from equilibrium corresponds to a non-equilibrium thermodynamics process or whether they have something in common?
10 May 2013 8,394 7 View
There are lots of textbooks discussing symmetry analysis on differential equations such as Applications of Lie group to differential equations. All of the methods (at least all of them I have...
11 April 2013 4,282 17 View
I'm a little confused about Riemannian geometry which mainly concerns Riemannian metric (a positive-definite symmetric rank-2 covariant tensor) and symplectic geometry which mainly concerns...
07 April 2013 8,817 5 View
Recently I began a project on MCMC and I think it may be helpful if some simple cases are given for me to do some simulations and analyses on. Could someone help introduce several simple,...
25 March 2013 9,500 24 View