It is shown that: (1) the existence of the basic phase of the visibility function and that caused by the secondary effect of the atmosphere is due to noncoincidence of the centers of the field of view and the source distribution.
In this paper a condition that second_order phase transitions occur is studied, in electrically charged dilaton black holes. The critical mass, temperature, radius of the event horizon and exponent is calculated. It is discussed that the parameter a affects the second_order phase transition.
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.
A local-global principle is proved by the second named author in the adjacent paper of this volume.
In the second part we apply this method to obtain pseudo-Riemannian homogeneous manifolds with real Killing spinors.
We derive two consequences: the first is a new proof of Lusztig's description of the intersection cohomology of nilpotent orbit closures for GLn, and the second is an analogous description for GL2n/Sp2n.
The second part consists in the normalization of the Burkhardt dual.
Behavior near the boundary of positive solutions of second order parabolic equations
We state a localization principle for expansions in eigenfunctions of a self-adjoint second order elliptic operator and we prove an equiconvergence result between eigenfunction expansions and trigonometric expansions.
We also obtain a way of constructing an arbitrary number of non-Gaussian continuous time processes whose second order properties are the same as those of fractional Brownian motion.
The line search functions used are Han's nondifferentiable penalty functions with a second order penalty term.
Finally, we prove the global convergence and the local second order convergence of the algorithm.