MAS 801 It's a Discreetly Discrete World Ã¢Â€Â“ Mathematics in ... - Spms

More documents

Recommendations

Info

Exercise 7 • Using the method of tight restrictions, show that the solution you obtained from Exercise 5 is optimal minimize z = -2x + y subject to -x + y ≥ -1 -x + 2y ≤ 2 x ≥ 0 y ≥ 0
Tight Inequalities • An inequality is tight at a point P if equality holds at P • Example 2x + 3y ≤ 6 is tight at the point (0,2) Theorem If the optimal solution of an LP occurs at an extreme point P, then optimality can be proved by combining constraints that are tight at P
Page 1 and 2: MAS 801 It’s a Discreetly Discret
Page 3 and 4: Extreme Points • The following is
Page 5 and 6: Proving Optimality: Method of Tight
Page 7 and 8: Proving Optimality: Method of Tight
Page 9: Proving Optimality: Method of Tight
Page 13 and 14: The Web Graph • Primary focus is
Page 15 and 16: How Big is the Web (Graph)
Page 17 and 18: Searching the Web • We have seen
Page 19 and 20: Crawler • Program that browses WW
Page 21 and 22: Query Engine • When given input k
Page 23 and 24: PageRank • Assigns a rank to ever
Page 25 and 26: PageRank: First Try • We want to
Page 27 and 28: Adjacency Matrix of a Digraph • E
Page 29 and 30: Matrix Transpose Matrix Transpose
Page 31 and 32: Exercise 2 • Compute the importan
Page 33 and 34: PageRank: An Improvement • The pr
Page 35 and 36: Markov Matrix of a Digraph • Exam
Page 37 and 38: Exercise 3: Answer 1 2 3 4 5 6 •
Page 39 and 40: Exercise 4 • Compute the importan
Page 41 and 42: PageRank: An Improvement • The pr
Page 43 and 44: Some Linear Algebra • Given an n
Page 45 and 46: Exercise 5 • Find the eigenvalues
Page 47 and 48: Example • Find all the eigenvecto
Page 49: Further Properties of Matrices •

MAS 801 It's a Discreetly Discrete World Ã¢Â€Â“ Mathematics in ... - Spms

Create successful ePaper yourself

Delete template?

Save as template?