booklet - CUMC - Canadian Mathematical Society

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enefit from this service, your university must be part of this system. If so, you willbe able to connect by using your university identification and password. For example,a University of British Columbia’s student would only have to add @ubc.ca after itsusername and enter its password to connect to the wifi network.Visit this website: http://www.canarie.ca/en/caf/participants to get specific informationsabout the connexion procedures for your university.3.6 In case of an Emergency- Emergency: 911- University Security: 514-343-77713.7 MontréalInformation concerning public transportation in Montreal can be found at stm.info/enIf you want to use a cab, you can visit www.taxi-coop.com or call the followingnumber:Taxi-Coop: 514-725-9885For information about restaurants in Montreal, you can visit www.restomontreal.caFor information about activities in Montreal, you can visit www.tourisme-montreal.orgFor any other information, ask volunteers!3.8 Puzzles3.8.1 Einstein’s Problem1. There are 5 houses (along the street) in 5 different colors: blue, green, red, whiteand yellow.2. In each house lives a person of a different nationality: Brit, Dane, German, Norwegianand Swede.3. These 5 owners drink a certain beverage: beer, coffee, milk, tea and water, smokea certain brand of cigar: Blue Master, Dunhill, Pall Mall, Prince and blend, andkeep a certain pet: cat, bird, dog, fish and horse.4. No owners have the same pet, smoke the same brand of cigar, or drink the samebeverage.Here are the hints:1. The Brit lives in a red house.2. The Swede keeps dogs as pets.51
3. The Dane drinks tea.4. The green house is on the left of the white house (next to it).5. The green house owner drinks coffee.6. The person who smokes Pall Mall rears birds.7. The owner of the yellow house smokes Dunhill.8. The man living in the house right in the center drinks milk.9. The Norwegian lives in the first house.10. The man who smokes blend lives next to the one who keeps cats.11. The man who keeps horses lives next to the man who smokes Dunhill.12. The owner who smokes Blue Master drinks beer.13. The German smokes Prince.14. The Norwegian lives next to the blue house.15. The man who smokes blend has a neighbour who drinks water.Who keeps fish?3.8.2 A fixed point problemLet f : R → R be a continuous function such that f ◦ f has a fixed point. Prove that f hasalso a fixed point.3.8.3 An infinite problemImagine an infinite chessboard that contains a positive integer in each square. If thevalue of each square is equal to the average of its four neighbours to the north, south,west and east, prove that the values in all the squares are equal.3.8.4 A monk puzzle300 monks live together in a monastery. They have very strict rules which are followedby all of the monks at all times. One of the rules is that absolutely no communicationbetween monks is allowed. Another is, that they refuse to look at themselves. Themonks have breakfast all together in a large hall where they see each other.One morning, a letter arrives to the monastery and is read by all monks at breakfast.It tells them that the monastery has been hit by a malediction. Some of the monks willhave a disease which is not contagious. The unique symptom of the disease is a largered spot on the forehead of the afflicted. In order to save the monastery from doom, theafflicted monks must quit the monastery.Only on the morning of the eleventh day after the letter arrives, all afflicted monksand only them don’t show up for breakfast; they have left the monastery during thepreceeding night.How many monks quit?52
Page 1: 20e anniversaire20th anniversaryCon
Page 4 and 5: CUMC 2013 CommitteeThis year, eight
Page 7 and 8: 1 Schedule of Events1.1 Basic Sched
Page 10 and 11: Friday, July 12 th , morningTime Sp
Page 12 and 13: Saturday, July 13 th , morningTime
Page 14 and 15: 2 Abstracts2.1 Keynote AbstractsVIS
Page 16 and 17: 2.2 Student AbstractsMETRIC DIMENSI
Page 18 and 19: CHAOS THEORYANDREW FLECKA review of
Page 20 and 21: THE GEOMETRY OF MUSICAL CHORDSAUDRE
Page 22 and 23: to be determined dynamically from a
Page 24 and 25: sufficiently many invariants of tha
Page 26 and 27: WEIGHTING TEST RESULTS TO IMPROVE R
Page 28 and 29: theory have been extended to virtua
Page 30 and 31: WHY STUDY MATH?IRENA PAPSTLast year
Page 32 and 33: QUAND BIOLOGIE ET MATHÉMATIQUES SE
Page 34 and 35: mechanics and discuss how the prece
Page 36 and 37: us to define a metric between two p
Page 38 and 39: THE EULER CHARACTERISTIC AND COMBIN
Page 40 and 41: (incompressible) Navier-Stokes flui
Page 42 and 43: FRACTALS, FINANCE AND THE FUTURE OF
Page 44 and 45: MACHINE LEARNINGREGAN MELOCHEThe fo
Page 46 and 47: INTRODUCTION TO CONGRUENT NUMBERSSA
Page 48 and 49: DATA MINING AND WHAT HAS EVERY ATHL
Page 50 and 51: INTRODUCTION TO STATISTICS: CLASSIC
Page 54 and 55: 3.9 Campus Map53
Page 57 and 58: partenaires AgentSilver partners
Page 59 and 60: partenaires AgentSilver partnersFac

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