After the South Yellow Sea Earthquake on May 21st, 1984, we have applied relevant conclusions to the after-earthquake decision-making, the preliminary results obtained show that fuzzy decision-making method may be of some reference value in reduction of earthquake disaster.
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.
In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
This extends the results and simplifies the proof for the classical orbit structure description of  and , which applies whenF=Z.