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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Front matter
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Index
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Front matter
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Table of Contents
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1
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Front matter
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2
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Article: THE PROUHET-TARRY-ESCOTT PROBLEM REVISITED
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3
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Abstract
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3
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Chapter: 1. Introduction
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3
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Chapter: 2. Elementary Properties
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5
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Chapter: 3. Ideal and Symmetric Ideal Solutions
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7
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Chapter: 4. Related Problems
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14
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Chapter: 5. Perfect Solutions of Prime Size
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21
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Chapter: 6. Open Problems
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26
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Bibliography
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26
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Article: LE CODAGE DU FLOT GÉODÉSIQUE SUR LA SURFACE MODULAIRE
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29
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Abstract
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29
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Abstract
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29
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Chapter: 0. Introduction
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29
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Chapter: 1. La transformation des fractions continues
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31
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Chapter: 2. Le flot géodésique sur la surface modulaire
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34
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Chapter: 3. Une autre présentation du flot géodésique
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36
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Chapter: 4. Un système de coordonnées sur l'espace des réseaux
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37
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Chapter: 5. Le codage du flot géodésique
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39
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Chapter: 6. La constante de Lévy et le volume du fibré tangent à la surface modulaire
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43
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Chapter: 7. Un codage du flot géodésique sur un alphabet fini
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45
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Bibliography
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47
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Article: PROOF OF MARGULIS' THEOREM ON VALUES OF QUADRATIC FORMS, INDEPENDENT OF THE AXIOM OF CHOICE
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49
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Chapter: 1. Preliminaries
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50
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Chapter: 2. Proof of the Theorem
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53
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Appendix: Appendix: Recurrent points
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56
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Bibliography
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57
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Article: UNIMODULAR LATTICES WITH A COMPLETE ROOT SYSTEM
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59
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Chapter: 1. Introduction
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59
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Chapter: 2. Relationship with codes
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60
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Chapter: 3. The Witt class associated with a root system
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63
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Chapter: 4. Weight enumerators of finite scalar product modules
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69
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Chapter: 5. The deficiency
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72
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Chapter: 6. The tables
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73
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Chapter: 7. COMMENTS
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92
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Bibliography
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103
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Article: NOTE ON TABLE I OF "BARKER SEQUENCES AND DIFFERENCE SETS"
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105
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Bibliography
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107
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Article: CORRIGENDUM TO "BARKER SEQUENCES AND DIFFERENCE SETS"
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109
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Bibliography
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111
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Article: AN EXPOSITION OF POINCARÉ'S POLYHEDRON THEOREM
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113
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Chapter: 1. Introduction
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113
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Chapter: 2. Convex polyhedra
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116
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Chapter: 3. Conditions for Poincaré's Theorem
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125
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Chapter: 4. Developing maps
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136
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Chapter: 5. Defining a metric
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144
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Chapter: 6. Completeness
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148
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Chapter: 7. Algorithmic aspects
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156
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Chapter: 8. SPECIAL CASES
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161
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Chapter: 9. Literature review
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164
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Appendix: 10. Appendix
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167
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Bibliography
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169
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Article: ENUMERATIVE COMBINATORICS AND CODING THEORY
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171
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Abstract
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171
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Chapter: 1. REDUCTION TO ONE SPECIAL EQUATION
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172
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Chapter: 2. Coding theory
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173
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Chapter: 3. The code associated with f
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174
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Chapter: 4. ON THE LEAST VALUE OF f
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178
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Chapter: 5. The number of Hadamard matrices of order n
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179
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Chapter: 6. The number of proper 4-colorings of a graph
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182
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Bibliography
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185
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Article: CYCLIC DIFFERENCE SETS WITH PARAMETERS (511, 255, 127)
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187
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Bibliography
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192
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Rubric: BULLETIN BIBLIOGRAPHIQUE
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1
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Back matter
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Back matter
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Back matter
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Back matter
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Issue 3-4: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Table of Contents
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Front matter
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Article: THE THEOREM OF KERÉKJÁRTÓ ON PERIODIC HOMEOMORPHISMS OF THE DISC AND THE SPHERE
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193
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Abstract
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193
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Chapter: 1. Introduction
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193
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Chapter: 2. Background and Definitions
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194
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Chapter: 3. Periodic Homeomorphisms of the Disc
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196
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Chapter: 4. Periodic homeomorphisms of the sphere
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201
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Bibliography
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203
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Article: UNITS OF CLASSICAL ORDERS: A SURVEY
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205
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Abstract
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205
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Abstract: Contents
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205
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Chapter: 1. Introduction
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205
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Chapter: 2. Elementary Properties
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208
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Chapter: 3. Finite generation: classical reduction theory
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209
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Chapter: 4. PRESENTATIONS I: THE THEORY OF TRANSFORMATION GROUPS
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222
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Chapter: 5. PRESENTATIONS II: INDEFINITE QUATERNIONS OVER THE RATIONALS
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227
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Chapter: 6. PRESENTATIONS III: $K_2$
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229
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Chapter: 7. Cohomology
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231
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Chapter: 8. Congruence subgroups and normal subgroups
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236
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Chapter: 9. The Bass unit theorem
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238
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Chapter: 10. What is a unit theorem?
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242
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Bibliography
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246
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Article: AN ERGODIC ADDING MACHINE ON THE CANTOR SET
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249
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Abstract
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249
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Chapter: I. Introduction
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249
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Chapter: II. Ergodic measures for F
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255
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Chapter: ACKNOWLEDGMENTS
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266
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Bibliography
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266
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Article: ON HAUSDORFF-GROMOV CONVERGENCE AND A THEOREM OF PAULIN
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267
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Abstract
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267
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Chapter: Introduction
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267
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Chapter: Section 1 : Hausdorff-Gromov Convergence
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269
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Chapter: Section 2: The Proof of Paulin's Theorem
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277
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Chapter: Section 3: Convex Hulls
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285
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Chapter: Section 4: Concluding remarks
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286
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Bibliography
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288
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Article: LES RÉSEAUX DANS LES GROUPES SEMI-SIMPLES NE SONT PAS INTÉRIEUREMENT MOYENNABLES
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291
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Abstract
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291
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Abstract
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291
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Chapter: 1. Introduction
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291
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Chapter: 2. Rappels et preuve de la proposition 4
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295
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Chapter: 3. Lemmes préliminaires
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299
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Chapter: 4. Preuve des résultats de l'introduction
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304
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Bibliography
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310
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Article: QUOTIENT OF THE AFFINE HECKE ALGEBRA IN THE BRAUER ALGEBRA
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313
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Abstract
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313
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Chapter: 0. Introduction
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313
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Chapter: 1. COUNTING DIAGRAMS
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316
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Chapter: 2. The abstract algebras
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324
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Chapter: 3. The Brauer representation
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329
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Chapter: 4. The cylindrical trace
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331
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Appendix: Appendix 1
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340
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Appendix: Appendix 2: Restriction to the Temperley-Lieb algebra
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342
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Appendix: Appendix 3: The elements of A(4, 4).
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343
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Bibliography
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344
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Rubric: COMMISSION INTERNATIONALE DE L'ENSEIGNEMENT MATHÉMATIQUE (THE INTERNATIONAL COMMISSION ON MATHEMATICAL INSTRUCTION)
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345
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Chapter: PERSPECTIVES ON THE TEACHING OF GEOMETRY FOR THE 21st CENTURY DISCUSSION DOCUMENT FOR AN ICMI STUDY
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345
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Chapter: 1. WHY A STUDY ON GEOMETRY?
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345
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Chapter: 2. Aspects of geometry
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346
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Chapter: 3. IS THERE A CRISIS IN THE TEACHING OF GEOMETRY?
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348
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Chapter: 4. Geometry as reflected in education
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349
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Chapter: 5. New technology and teaching aids for geometry
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350
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Chapter: 6. KEY ISSUES AND CHALLENGES FOR THE FUTURE
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351
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Chapter: 7. Call for papers
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356
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Rubric: BULLETIN BIBLIOGRAPHIQUE
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31
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Back matter
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Back matter
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