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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Cartan-Helgason theorem for quaternionic symmetric pairs
四元数 对称对 Cartan-Helgason定理
2023/11/7
we present a joint work with Clemens Weiske and Genkai Zhang (Sweden). It shows a branching law for compact symmetric pairs K\subset G of quaternionic type. Precisely to say, K is a product of a simpl...
A conjecture concerning the Crame rWold device is answered in the negative by
giving a Fourier-free, probabilistic proof using only elementary techniques. It is also
shown how a geometric idea all...
A Proof of Marton’ s Coding Theorem for the Discrete Memoryless Broadcast Channel
Marton’ s Coding Theorem Discrete Memoryless Broadcast Channel
2015/8/12
A simple proof using random partitions and typicality is given for Marton’ s coding theorem for broadcast channels.
Converse Lyapunov Theorem of Input-to-State Stability for Time-Delay Systems
Input-to-state stability converse Lyapunov theorem time-delay systems locally Lipschitz Lyapunov functional
2010/3/29
This paper is concerned with locally Lipschitz continuous
converse Lyapunov theorem of input-to-state stability for time-delay
systems. For time-delay systems with arbitrary measurable locally
esse...
ON THE APPLICABILITY OF THE EQUIPARTITION THEOREM
equipartition of energy saddle point method quadratic potential
2010/12/2
Generalization of the equipartition theorem is presented for a broad range of potentials U(x) with quadratic minimum. It is shown, that the equipartition of energy in its standard form appears at the ...
On the Pólya Enumeration Theorem
permutations and cyclic invariance cycle index Pólya enumeration theorem
2013/1/29
Simple formulas for the number of different cyclic and dihedral necklaces containing nj beads of the j-th color, and , are derived, using the Pólya enumeration theorem.
A reciprocal theorem for steady-state heat conduction problems
heat conduction reciprocal theorem steady-state thermal energy
2010/3/12
This paper presents a reciprocal theorem for steady-state heat conduction problems. Some examples illustrate the applications of the reciprocal relation formulated. The method applied is based on the ...
Relationship Theorem between Nonlinear Polynomial Equation and the Corresponding Jacobian Matrix
Nonlinear computations Newton method Jacobian matrix nonlinear polynomial equations
2010/10/22
This paper provides a proof of a relationship theorem between nonlinear analogue polynomial equations and the corresponding Jacobian matrix. This theorem is also verified generally effective for all n...
A consequence of the generalized Clapeyron's theorem
consequence the generalized Clapeyron's theorem
2010/3/15
A consequence of the generalized Clapeyron's theorem.