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1381170045_768__232_lecture_4.4

# 5 v1 topicsections combinatorial structures fs part a1

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Unformatted text preview: IC C HAUVE , FALL 2013 20 f a cu lty of science d epa r tm ent of m athema tic s Week Date 1 Sept 7 Sections Part/ References MATH 895-4 Fall 2010 Course Schedule Topic/Sections MATH 232 S ECTION #4.4 Notes/Speaker This is afrom FS2009 manifestation of a general principle (theorems 4.4.10 and 4.4.11). I.1, I.2, I.3 Combinatorial Symbolic methods Structures There are I.5, I.6 kinds of real symmetric 2 × 2 matrices: 2 14 I.4, two Unlabelled structures FS: Part A.1, A.2 3 21 II.1, II.2, II.3 Comtet74 Handout #1 (self study) Labelled structures I Labelled structures II (1). Diagonal real symmetric matrices with identical diagonal entries: Combinatorial Combinatorial 0 III.2 5 Octa 5 III.1, Asst #1 Due parameters Parameters A= . FS A.III a IV.2 6 12 0 IV.1, Multivariable GFs (self-study) 4 28 II.4, II.5, II.6 7 19 IV.3, IV.4 8 26 9 Nov 2 IV.5 V.1 Analytic Methods FS: Part B: IV, V, VI Appendix B4 Stanley 99: Ch. 6 Handout #1 (self-study) Complex Analysis Singularity Analysis Asymptotic methods Asst #2 Due 11 12 13 9 VI.1 12 A.3/ C Introduction to Prob. Mariolys 18 IX.1 Limit Laws and Comb Marni 20 IX.2 Discrete Limit Laws Sophie 23 IX.3 Combinatorial instances of discrete Mariolys 25 10 IX.4 Continuous Limit Laws Marni 30 IX.5 Quasi-Powers and Gaussian limit laws Sophie Random Structures and Limit Laws FS: Part C (rotating presentations) Sophie (2). All other real symmetric matrices: either non-diagonal 14 Dec 10 Presentations Asst #3 Due ab B= with b = 0, bc or diagonal but with different entries on the diagonal a0 C= with a = c. 0c ItMarni MISHNA, Department of Mathematics, SIMON FRASER UNIVERSITY B and C always have two distinct real Dr. turns out that matrices of types Version of: 11-Dec-09 eigenvalues. Each of these eigenvalues has an eigenspace which is one-dimensional (a line through the origin). And these two lines are perpendicular to each other. C EDRIC C HAUVE , FALL 2013 21...
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