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Let W be the extended affine Weyl group associated to GL ( n, C ). Let the distinct parts of the dual partition µ be µ1,.. number of left cells contained in c. Let the finite group
This property allows us to remove the effect of a perturbation P from the solutions of an autonomous system the vector field of which is modified by
(Alternatively one might try to work with barycentric subdivisions of a simplicial complex.) The new nerve theorem allows us to exploit the higher connectivity of the poset
points of this space, when considered as a function of the number of elements of the finite field, gives a polynomial, then using the purity we can determine the S n -equivariant
The use of the diagonalization theorem allows us to study the Cauchy problem associated with equation (1.1) independently of compact- ness, and in this way, the result obtained
Though the package is an implementation of known methods for solving PDEs, it also allows us to look for solutions of equations not yet automatically solved by the package, or
The concept of a Lepage form allows us to introduce the Euler-Lagrange dis- tribution for variational functionals, depending on velocities, in a similar way as in the calculus
We will prove the twice continuous differentiability of these two different kinds of ruin probability and present their explicit expressions when the claims are
