combinatorial matrix theory and graphs

... γSDT/MRC and γMRT/MRC be the SNR gains for SDT/MRC and MRT/MRC, respectively Then (26) Proof We note that the A matrix in hub matrix theory of Section corresponds to the H matrix here, and the ... if A is a candidate-hub matrix Proof Suppose A is a candidate-hub matrix Since S = AH A, the entries of S are s(i, j) = aH a j for i, j = 1, , m By i Definition of a candidate-hub matrix, the ... a hub matrix, by introducing the notion of hub and arrowhead dominant matrices Theorem Let A ∈ Cn×m and let S ∈ Cm×m be the Gram matrix of A that is, S = AH A S is an arrowhead matrix if and only...

Ngày tải lên: 22/06/2014, 19:20

... Wigner 24 Random Matrix Theory 2.1.3 Wishart Matrices Definition 2.3 The m × m random matrix A = HH† is a (central) real/complex Wishart matrix with n degrees of freedom and covariance matrix Σ, ... asymptotically free random matrices include independent Gaussian random matrices, and A and UBU∗ where A and B are Hermitian and U is uniformly distributed on the manifold of unitary matrices and independent ... From its inception, random matrix theory has been heavily influenced by its applications in physics, statistics and engineering The landmark contributions to the theory of random matrices of Wishart...

Ngày tải lên: 05/03/2016, 10:24

Ngày tải lên: 12/05/2014, 06:48

... relationship between Catalan numbers and random matrix theory appeared first in Wigner’s 1955 paper [6] In computing asymptotics of traces of powers of certain random (symmetric, hermitian) matrices, ... of computing mk for certain types of random symmetric matrix models In some cases, mk might not even exist, but in the cases of the Gaussian and Wishart matrix models, it does For the Gaussian ... time-steps, and left only on odd time-steps In turn, these are in one-to-one correspondence with the alternating Motzkin paths The connection between Dyck paths, alternating Motzkin paths, and random matrix...

Ngày tải lên: 07/08/2014, 08:20

... [12] Graphs (or digraphs) G and H are isomorphic (written G ∼ H) if there is a permuta= tion matrix P such that M(G) = P M(H)P −1, where M(G) and M(H) are the adjacency matrices of the graphs G and ... U(G)(k,j),(j,k) = and U(G)(i,j),(j,k) = U(G)(k,j),(j,i) = So, if G is 2-regular, the matrix U(G) has exactly a one in every row and every column and it is then a permutation matrix • Since G is ... recall the definition of the orthogonal matrix U and give a formula for its eigenvalues We define digraphs derived from powers of U, and propose using these digraphs to distinguish the original graph...

Ngày tải lên: 07/08/2014, 13:21

... i is injective if and only if the left hand square is a pullback (ii) The right vertical arrow i is trivial if and only if we have f : G → N making 19 20 Chapter The matrix theory the following ... equivalence relation generated by containment 35 36 Chapter The matrix theory Proof In view of Lemma 2.5.5, let matrix s1 represent L1 and matrix s2 represent L2 By the definition of containment we ... number fields We try to understand the capitulation kernel of the ideal class group using matrix groups We try to relate our theory to the Bass exact sequence involving K -theory of functors In the...

Ngày tải lên: 11/09/2015, 21:51

... mapping can be represented in matrix form as: 17 18 System Architecture where: and, is a symmetric and orthogonal matrix After FFT, a cyclic pre/postfix of lengths and will be added to each block ... time and coherence bandwidths Then, by using time and frequency interpolation, the impulse response and frequency response of the channel can be calculated Figure 2.7 Pilot positioning in time and ... Virginia Polytechnic Institute and State University Blacksburg, Virginia Multi-Carrier Digital Communications: Theory and Applications of OFDM Ahmad R S Bahai and Burton R Saltzberg Principles...

Ngày tải lên: 02/03/2013, 16:58

... more meaningful and interesting Commands → To infinitive clause In reporting commands and requests, the indirect speech is introduced by some verb expressing commands and requests, and the Imperative ... to apply both direct and indirect speech into the articles C Conclusion By reviewing theory in a logical order and study the theory in practical application, we can understand all the definition, ... lenders will allow borrowers to mix and match products and specify the split between fix and tracker “However, you need to watch out for the fees charged and check whether a fee is payable on...

Ngày tải lên: 15/04/2013, 14:57

... criticism and political theory Contemporary deliberative liberal democratic theory provides the context for the theory of social criticism I propose Deliberative theorists Political Theory and Feminist ... Bangladesh see White (1992) for a local and anthropological description and Roushan Jahan (1995) for a more general and political description 4 Political Theory and Feminist Social Criticism particular ... Political Theory and Feminist Social Criticism In Political Theory and Feminist Social Criticism, Brooke Ackerly demonstrates the shortcomings of contemporary deliberative democratic theory, relativism,...

Ngày tải lên: 24/08/2013, 20:16

... distance education and educational technology and has recently co-authored two new books: Anderson and Kanuka, (2002), eResearch: Methods, Issues and Strategies; and Garrison and Anderson, (2002), ... xxiv Theory and Practice of Online Learning xxv Introduction xxvi Theory and Practice of Online Learning PA RT Role and Function of Theory in Online Education Development and Delivery Volume 1 Theory ... xiii Te rry Anderson & Fathi Elloumi Foundations of Educational Theory Part – Role and for Online Learning / Function of Theory in Mohamed Ally Online Education Development and 2Toward a Theory of...

Ngày tải lên: 03/09/2013, 12:10

... Monitoring and Control for Intelligent Manufacturing L Wang and R.X Gao (Eds.) Optimal Production Planning for PCB Assembly W Ho and P Ji Trends in Supply Chain Design and Management: Technologies and ... Jung, F.F Chen and B Jeong (Eds.) Process Planning and Scheduling for Distributed Manufacturing L Wang and W Shen (Eds.) Collaborative Product Design and Manufacturing Methodologies and Applications ... Raja and K.J Fernandes (Eds.) Automated Nanohandling by Microrobots S Fatikow A Distributed Coordination Approach to Reconfigurable Process Control N.N Chokshi and D.C McFarlane ERP Systems and...

Ngày tải lên: 08/09/2013, 20:50

... between directed and undirected edges and the way in which they are modeled Figure 12-4 shows two graphs: I is undirected and J is directed Figure 12-4 Directed and undirected graphs have different ... contractor/subcontractor, and firm/division associations all come to mind Figure 12-3 shows a hierarchy containing a root node and several levels of subordinates 372 CHAPTER 12 TREES, HIERARCHIES, AND GRAPHS Figure ... CHAPTER 12 TREES, HIERARCHIES, AND GRAPHS Figure 12-1 Undirected, directed, undirected cyclic, and directed acyclic graphs The most immediately recognizable example of a...

Ngày tải lên: 05/10/2013, 08:48

... StatisticalTheory and Econometrics 75 Axiom If given A, B, and B, cannot both be true and if, given A, C, and C, cannot both be true, and if, given A, B, and C, are equally probable and B, and C, ... sum” of A and B (4) A n B n C f~ D means “A and B and C and D “ that is, A, B, C, and D are , all true (5) A U B UC U D means “A or B or C or D”, that is, at least one of A, B, C, and D is true ... exclusive and exhaustive Also, for example, Axiom can be restated using the above notation and concepts as: Axiom If B, and B2 are exclusive and C, and C, are exclusive, given data A, and if, given...

Ngày tải lên: 19/10/2013, 13:15

... in a System Bibliography Theory and Design of Electrical and Electronic Circuits _ Introduction Spent the years, the Electrical and Electronic technology ... Transmission Antennas and Propagation Electric and Electromechanical installations Chap 33 Control of Power (I Part) Chap 34 Control of Power (II Part) Chap 35 Introduction to the Theory of the Control ... Theory and Design of Electrical and Electronic Circuits Index Introduction Chap 01 Generalities Chap 02 Polarization...

Ngày tải lên: 23/10/2013, 16:15

Ngày tải lên: 26/10/2013, 17:15

... in a System Bibliography Theory and Design of Electrical and Electronic Circuits _ Introduction Spent the years, the Electrical and Electronic technology ... Transmission Antennas and Propagation Electric and Electromechanical installations Chap 33 Control of Power (I Part) Chap 34 Control of Power (II Part) Chap 35 Introduction to the Theory of the Control ... Theory and Design of Electrical and Electronic Circuits Index Introduction Chap 01 Generalities Chap 02 Polarization...

Ngày tải lên: 27/10/2013, 16:15

... matrix R(k), θ is Gaussian with mean mθ and covariance matrix Pθ , and, θ and V(k) are statistically independent, then θ and Z(k) are jointly Gaussian, and, (15.15) becomes ˆ θMS (k) = mθ + Pθ ... 1977 [3] Golub, G.H and Van Loan, C.F., Matrix Computations, 2nd ed., Johns Hopkins Univ Press, Baltimore, MD, 1989 [4] Grewal, M.S and Andrews, A.P., Kalman Filtering: Theory and Practice, Prentice-Hall, ... Gaussian, with mean mx (0) and covariance Px (0), and x(0) is not correlated with w(k) and v(k) The dimensions of matrices , , , H, Q, and R are n × n, n × p, n × l, m × n, p × p, and m × m, respectively...

Ngày tải lên: 08/11/2013, 12:15

... domestic consumers pay less for foreign products Exchange Rates and Relative Prices Import and export demands, like the demands for all goods and services, are influenced by relative prices, such as ... PART Exchange Rates and Open-Economy Macroeconomics a supermarket and textbooks sold in a bookstore, as well as the value of services provided by supermarket checkers and baggers and by university ... cancer research, and government funds spent on highway repair and education Government transfer payments like social security 299 300 PART Exchange Rates and Open-Economy Macroeconomics and unemployment...

Ngày tải lên: 14/12/2013, 15:15

... between price-level and output changes over 1929-1935 The countries with the biggest deflations and output contractions include France, Switzerland, Belgium, the Netherlands, and Poland, all of which ... Greece 130 - tries such as France and Switzerland that stuck with the gold standard Latvia Netherlands 90 • Poland • # 80 Belgium 70 - Italy • • Germany # New Zealand • • Spain Austria * •U.S • ... Eichengreen and Marc Flandreau, eds The Gold Standard in Theory and History Second edition London: Routledge, 1997 A valuable collection of readings on the performance of the gold standard in different...

Ngày tải lên: 14/12/2013, 15:15

... strictly to himself and this time he took out a little memorandum book and made a note of it This he had no right to without due explanation, and I said so "It's a new theory, " said Bridger, ... tell you; and then you run your mind back along the people you've known and see what you make of it." And so I cornered Bridger in a place where they have artificial palms and wine; and he told ... indignation and also returned to his chair And then Plunkett with the spring of a tiger, leaped around the corner of the table and snapped handcuffs on the paralyzed Morgan's wrists "Hound-lover and...

Ngày tải lên: 15/12/2013, 12:15