Upload File

lecture4 - math.ucdavis.edu · the number of flips of a triangulation flips between regular...

  • Home
  • Documents
  • lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
120

Upload: others

Post on 23-May-2020

9 views

Category:

Documents


0 download

Report

TRANSCRIPT

Page 1: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 2: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 3: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 4: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 5: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 6: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 7: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 8: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 9: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 10: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 11: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 12: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 13: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 14: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 15: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 16: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 17: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 18: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 19: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 20: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 21: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 22: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 23: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 24: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 25: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 26: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 27: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 28: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 29: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 30: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 31: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 32: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 33: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 34: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 35: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 36: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 37: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 38: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 39: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 40: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 41: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 42: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 43: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 44: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 45: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 46: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 47: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 48: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 49: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 50: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 51: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 52: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 53: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 54: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 55: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 56: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 57: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 58: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 59: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 60: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 61: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 62: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 63: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 64: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 65: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 66: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 67: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 68: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 69: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 70: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 71: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 72: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 73: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 74: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 75: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 76: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 77: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 78: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 79: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 80: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 81: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 82: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 83: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 84: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 85: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 86: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 87: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 88: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 89: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 90: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 91: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 92: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 93: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 94: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 95: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 96: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 97: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 98: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 99: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 100: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 101: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 102: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 103: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 104: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 105: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 106: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 107: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 108: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 109: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 110: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 111: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 112: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 113: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 114: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 115: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 116: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 117: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 118: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 119: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For
Page 120: lecture4 - math.ucdavis.edu · The number of flips of a triangulation Flips between regular triangulations correspond exactly to edges in the secondary polytope. Hence, Theorem: For

Janet Firth - Flea Market Flips

Fast Multipole Method - math.ucdavis.edu

Présentation TTG Flips

ii - math.ucdavis.edu

Face Flips in Origami Tessellations

Combinatorial Polytope Enumeration - arXiv · Combinatorial Polytope Enumeration Sandeep Koranne Mentor Graphics Corporation West Linn, OR 97068 Anand Kulkarni Department of Industrial

Preface - math.ucdavis.edu

The Polytope Model: Past, Present, Future

Adi 5 Space Polytope

What is an Adi Polytope?

1 Guessing Facets: Polytope Structure and Improved LP …users.ece.utexas.edu/~dimakis/IT_DGW_FacetGuessing_CamReady.pdf · 1 Guessing Facets: Polytope Structure and Improved LP Decoder

FLIPS Teacher Notes - Lower.indd

Matroid polytope subdivisions and valuationsdigitalassets.lib.berkeley.edu/etd/ucb/text/Fink_berkeley_0028E... · Matroid polytope subdivisions and valuations by Alexander Ray Fink

Slides, Flips, and Turns

Investor presentation(flips final)

Flips, double flips and advanced flips: next steps in flipping the classroom · 2016-11-16 · What is flipping the classroom? • A pedagogic model where the “typical classroom

Numerical - math.ucdavis.edu

Plan Media Flips Audio

Polyhedral Clinching Auctions and the AdWords Polytope

Lab 8 - math.ucdavis.edu

Properties of Coxeter Andreev’s Tetrahedrons - IOSR … · Properties of Coxeter Andreev’s Tetrahedrons 83 | Page Definition 3.2: An Andreev’s polytope is an abstract polytope

Janet Firth's Flea Market Flips

The Value Function Polytope in Reinforcement Learning

1 Bipartite Matching Polytope, Stable Matching Polytope x1 x2 x3 Lecture 10: Feb 15

Bipartite Matching Polytope, Stable Matching Polytope

Matroid polytope subdivisions and valuationsfink/thesis.pdf1 Abstract Matroid polytope subdivisions and valuations by Alexander Ray Fink Doctor of Philosophy in Mathematics University

Xenakis's 'Polytope de Mycenae

Prez produit flips xb

Flips in Computational Geometry

Amazon to amazon flips

Detection of trans–cis flips and peptide-plane flips in protein structures

Polytope ARTMAP: Pattern Classification Without Vi

ON THE p-MEDIAN POLYTOPE AND THE INTERSECTION

Topics in Number Theory and Combinatorics - math.ucdavis.edu

Universality in Polytope Phase Transitions and Message Passing