Báo cáo toán học: "Optimization over spaces of analytic functions and the corona problem " pptx

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Ngày tải lên: 05/08/2014, 15:21

... p k con- tains the power at kth scanning angle grid. The problem of interest is recovering the spatial components {p 1 ,p 2 , , p K }, and the positions and the amplitudes of the peaks of {p 1 ,p 2 , ... depends on the ratio of interelement spacing of the array to the wavelength. In the case that the angle ambiguity occurs, we refer to [14-16] for resolvi...

Ngày tải lên: 20/06/2014, 20:20

... The proof of part (i) of Theorem 3 appeared in [8]. The approach taken in this proof was to decompose the edges of the multigraph G with even order n and multiplicity µ(G) ... application of the decomposition result in Theorem 6, and finally followed by several applications of Theorem 1 yields a 1-factorization of the edges of G. Theorem 4 For every >0, there...

Ngày tải lên: 07/08/2014, 06:22

... then H is an induced subgraph of G and so has an even number of hamiltonian cycles. So suppose V (C) ⊆ V (G). If G  is a one vertex expansion of G, then argue precisely as in the proof of Theorem ... cycles of H produces equivalence classes of even cardinality. Therefore, there must be an even number of such spanning cycles C, which means that H has an even number of ham...

Ngày tải lên: 07/08/2014, 15:22

... be the separator between one block and the rest of the graph G. In each of these three cases, the vertices of the appropriate subgraph of G will be labelled by the indices of A, R, C, cA, ρ and ... det(qD G ) +cofsum(qD G ), where cofsum(qD G ) =  u,v c u,v is the sum of the cofactors of q D G . Proof: We recall that qD G is the q-analogue of the dista...

Ngày tải lên: 08/08/2014, 11:20

... equation of the form xy  β − xy  − αy   ∞ m0 a m x m and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation in a special class of analytic functions. 1. ... we will prove the Hyers-Ulam stability of the Kummer’s equation in a class of special analytic functions see the class C K in Section 3. In this p...

Ngày tải lên: 21/06/2014, 18:20

... that the right-hand side of 5.14 for f ± p,y equals the above LHS. ii The first identity of 5.15 follows from Theorem 5.1, while the second follows from Theorem 1.3 with ΩB R a and y ... p>Nin terms of the integral mean value over the domain see Theorem 5.1 in Section 5. As a byproduct of our main results, we obtain a sharp esti- mate of the difference...

Ngày tải lên: 22/06/2014, 06:20

... that the right-hand side of 5.14 for f ± p,y equals the above LHS. ii The first identity of 5.15 follows from Theorem 5.1, while the second follows from Theorem 1.3 with ΩB R a and y ... p>Nin terms of the integral mean value over the domain see Theorem 5.1 in Section 5. As a byproduct of our main results, we obtain a sharp esti- mate of the difference...

Ngày tải lên: 22/06/2014, 18:20

... Formulas (2) and (8)]. For a composition α,let|α| denote the sum of the parts of α, k(α)thenumberof parts of α, k e (α) the number of even parts of α,andk o (α) the number of odd parts of α. Note ... k e (α)andk o (α) are the number of even parts and the number of odd parts of a composition α, β =(b 1 , ,b k ) is any fixed composition such that k e (β) ≡ 0an...

Ngày tải lên: 07/08/2014, 08:22