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1384758512_795__232_lecture_7.8

# 1 a2 comtet74 handout 1 self study symbolic methods

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Unformatted text preview: , II.3 Labelled structures I alent to II.4, II.5, II.6 approximating a linear system in R2 . Here we take a more general 4 28 Labelled structures II point 5 III.1, III.2 for inconsistent systems inDue n , and use the previous result to of view Combinatorial R Combinatorial 5 Oct Asst #1 parameters Parameters FS A.III solve the approximation problem. 6 12 IV.1, IV.2 Multivariable GFs (self-study) FS: Part ˆ Deﬁnition Let ppendixB: IV, an mSingularitymatrix abd b a vector in Rm . A vector x in Rn A be V, VI × n Analysis 8 26 A B4 IV.5 V.1 Stanley 99: Ch. 6 9 is a Nov 2 least-squares solution Asymptoticx = b if #2 Due of A methods Asst Handout #1 10 11 Sophie Introduction Prob. ˆ ||b − Ax|| ≤to||b − Mariolys for all x ∈ Rn . Ax|| Limit Laws and Comb Marni IX.2 ˆ ˆ The20vector b −Random Structures least-squares error vector and the scalar ||b − Ax|| Ax is the Discrete Limit Laws Sophie and Limit Laws FS: Part C the 23 IX.3 least-squares error. Combinatorial Mariolys (rotating instances of discrete...
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