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In Section 3 we use this set up to prove Theorem 3.1 , which characterizes the boundaries of graphs of harmonic functions using the moment conditions arising from conservation laws..
A publication of the International Linear
A tight upper bound on the algebraic connectivity of G in terms of n and k for the case that k > n/ 2 is provided; the graphs which yield equality in the bound are
fact that there are no invariants for a singe vector in a vector space under the group action of the automorphisms of the vector space, since any vector can be sent to any
We can now think of block matrix multiplication as representing the total flow of information between the condensed nodes Vi corresponding to the diagonal block entries.. In
We show how an initial-boundary problems for a 4-th order parabolic differential equation can be represented by BP P with various boundary conditions for the two particles:
Key words: Brownian sheet, sectorial local nondeterminism, image, Salem sets, multiple points, Hausdorff dimension, packing dimension.. AMS 2000 Subject Classification: Primary
Representations of quantum groups and realizations of q - oscillators are closely related to basic hypergeometric functions and q -orthogonal polynomials.. Instead of Jacobi,
