PPT-2.5 Conjectures that Lead to Theorems

Obj Understand and use vertical angle theorem Why do we need Proofs 1 region 1 2 2 regions 4 regions 8 regions 16 regions How many regions will be in a circle with 6 pts . AS if for every trajectory we have as implies is the unique equilibrium point system is locally asymptotically stable LAS near or at if there is an R st 0 k as Basic Lyapunov theory 122 brPage 3br often we change coordinates so that 0 ie we use a Mathematical . Conjecture?. Arash. Rastegar. Sharif University of Technology. Advices to a problem solver. 1) Writing neat and clean. 2) Writing down the summary of arguments. 3) Clarifying the logical structure . Represented Theorems. Sara . Billey. University . of . Washington. Reproducibility in Computational and Experimental Math. ICERM. December 13, 2012. The Standard Inquiry. “Do you know anything about the following math problem?”. Introduction and Coordinated Effects. Adrian Majumdar. Adrian.Majumdar@rbbecon.com. Contributors. Adrian Majumdar. Benoît Durand. Chris Doyle. Alan Crawford.  . We are indebted to Greg Shaffer for his invaluable comments and contributions to Chapters 2 and 5 and to Glen Weyl for his detailed and insightful comments on Chapter 4.. By: Pau . Thang. Theorem, and. Counterexample. Conjectures. an opinion or conclusion formed on the basis of incomplete information. Conjectures -. In other words, conjectures are . It is the use of . Cops and Robbers. Anthony Bonato. Ryerson . University. Toronto, Canada. Stella Maris College. Chennai. Cops and Robbers. Cops and Robbers. 2. C. C. C. R. Cops and Robbers. Cops and Robbers. 3. C. C. Introduction and Coordinated Effects. Adrian Majumdar. Adrian.Majumdar@rbbecon.com. Contributors. Adrian Majumdar. Benoît Durand. Chris Doyle. Alan Crawford.  . We are indebted to Greg Shaffer for his invaluable comments and contributions to Chapters 2 and 5 and to Glen Weyl for his detailed and insightful comments on Chapter 4.. Cops and Robbers Games Played on Graphs. Anthony Bonato. Ryerson . University. Toronto, Canada. University . of . Iceland. Mathematics Seminar. Cops and Robbers. Cops and Robbers. Cops and Robbers. 2. Making conjectures. Proof. Adapted from . Thinking Mathematically . (Consider the table of Contents. ). One up and One Down:. Multiplication. Start with a 7 x 7 (square) array. One up and One Down:. Multiplication. Triangles. Isosceles Triangles. leg. leg. base. Vertex angle. Base angle. Base angle. 2 sides are congruent. 2 theorems. If 2 sides are congruent, then base angles are congruent. If 2 . base angles . Constructing. CONJECTURES. Generating. examples. Getting literature. Definition of 132-pattern. Let [n] = {1,2,…,n}. . p. = a. 1. a. 2. …a. n. is a permutation of [n].. Consider . a. i. , . a. Algebra. Huntington’s Postulates. Truth Tables. Graphic Symbols. Boolean Algebra Theorems. 1. Boolean . Algebra. 2. Boolean . Algebra. A fire sprinkler system should spray water if high heat is sensed and the system is set to . Arash. Rastegar. Sharif University of Technology. Advices to a problem solver. 1) Writing neat and clean. 2) Writing down the summary of arguments. 3) Clarifying the logical structure . 4) Drawing big and clean figures. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. RECAP. : Parts of a Circle. Sector. (Minor). Segment. Diameter. Radius. Tangent. Chord. (Minor) Arc. Circumference. ?. ?. ?. ?. ?. !.