x x^2／2^2 x^3／3^2 x^4／4^2 …

THEOREM 4.1 Let X be a non-empty convex subset of the locally convex Hausdorff topological vector space E, T an upper hemicontinuous mapping of X into 2 E’, T(x) is a non-empty

More general problem of evaluation of higher derivatives of Bessel and Macdonald functions of arbitrary order has been solved by Brychkov in [7].. However, much more

(The Elliott-Halberstam conjecture does allow one to take B = 2 in (1.39), and therefore leads to small improve- ments in Huxley’s results, which for r ≥ 2 are weaker than the result

Remarkably, one ends up with a (not necessarily periodic) 1D potential of the form v(x) = W (x) 2 + W 0 (x) in several different fields of Physics, as in supersymmetric

the log scheme obtained by equipping the diagonal divisor X ⊆ X 2 (which is the restriction of the (1-)morphism M g,[r]+1 → M g,[r]+2 obtained by gluing the tautological family

Keywords Catalyst, reactant, measure-valued branching, interactive branching, state-dependent branch- ing, two-dimensional process, absolute continuity, self-similarity,

In Subsection 5.1 we show the continuity of the Dirichlet heat kernel associated with the killed LBM on a bounded open set by using its eigenfunction expansion, and in Subsection 5.2

Taking care of all above mentioned dates we want to create a discrete model of the evolution in time of the forest.. We denote by x 0 1 , x 0 2 and x 0 3 the initial number of