Báo cáo toán học: "Economical compact perturbations. I: Erasing normal eigenvalues " pdf

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21

... defined by conditional expectation of the cost caused by the number of jumps and of the integral of the square of the difference of the state and control processes. The goal of controlling is to minimize ... μ n+1 (μ n+1 > 0), and ν μ n+1 (ξ n+1 ) is random variable defined by The Model of Stochastic Control and Applications 419 S + V (x)=inf μ>0  r(x, μ)+...

Ngày tải lên: 06/08/2014, 05:20

... distance is not equal to afixed δ∈{ 1 , ,n} , then a pair of disconnected sets becomes an equidistant code pair . For disconnected sets A and B we will give a bound for |A|·|B| in terms of the eigenvalues ... ,q } n ,thesetofwordsoflengthnoveranalphabetofsize q,anddefinetwowordstobeinrelationR δ iftheirHammingdistance(the numberofcoordinateplacesinwhichtheydiffer)equalsδ.Thisdefines...

Ngày tải lên: 07/08/2014, 06:20

... shown that cubic graphs with arbitrarily large girth exist (see Theorem 3.2) and so there is a well-defined integer à 0 (g), the smallest number of vertices for which a cubic graph with girth ... account of the problem of constructing cubic graphs with large girth. There is a well-dened integer à 0 (g), the smallest number of vertices for which a cubic graph with gi...

Ngày tải lên: 07/08/2014, 06:22

... regular Hadamard matrix of order 4 and H is a regular Hadamard matrix of order 9 · 4 d+1 . Therefore, one can obtain a family of regular Hadamard matrices of order 9 · 4 d , starting with a regular ... Yamada, Hadamard matrices, sequences, and block designs, in Contemporary Design Theory, eds. J.H. Dinitz and D.R. Stinson, John Wiley & Sons, 1992, 431–560. New symmetric...

Ngày tải lên: 07/08/2014, 06:22

... =1, |V i | = F i for 1 ≤ i ≤ n, |V 0 n | =1and |V i n | = F i for 1 ≤ i ≤ n − 2. On Minimal Words With Given Subword Complexity Ming-wei Wang ∗ Department of Computer Science University of Waterloo Waterloo, ... 2 1. What is the length of a minimal word of order N? 2. Is there a reasonably efficient algorithm that finds such minimal words? 3. For each order how many minimal w...

Ngày tải lên: 07/08/2014, 06:22

... invariant under the antipodal map, the number of matchings is the square of the number of matchings of the quotient graph. 2. The number of matchings of the edge graph of a graph with vertices of degree ... under the antipo- dal map, the number of matchings is the square of the number of matchings of the quotient graph. 2. The number of matc...

Ngày tải lên: 07/08/2014, 06:22

... standard(C) and the set of standard marked Catalan trees by standard(C, ∗). The standard trees in C 4 are , , , , . One of the standard trees in CH 3 is . The standard tree representing the class [T ... those trees which are largest in their equivalence class as standard trees, and use them as equivalence class representatives. We will de- note the set of standard...

Ngày tải lên: 07/08/2014, 06:22

... position (N, x) is called unsafe if it is unsafe to move to it. Since the player who moves to an unsafe position loses with best play, the player who moves from an unsafe position can always win. Similarly, ... ≥ g(N). We can now state the main theorem. Main theorem: Suppose we play our game with an arbitrary but fixed move function f : Z + → Z + . Suppose f generates the g-base B f...

Ngày tải lên: 07/08/2014, 07:21