# BIG DATA FIELDS NOTES. Delay Equations in Electrodynamics. MATH ED: Caribou Math Contests pg 6

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1 VOLUME 15:2 FIELDS NOTES THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES Article on Delay Equations in Electrodynamics by D. -A. Deckert & G. Hinrichs pg 24 BIG DATA pg 18 MATH ED: Caribou Math Contests pg 6 Meet Ian Hambleton The new Director of the Fields Institute pg 9

7 In an attempt to improve such puzzles Wolf created similar ones which give even more reward when being solved with two more diagonal conditions, like: MATH EDUCATION AB + AB = BC - x - + DE x E = FE = = = = = C x DC = DBB Furthermore it was possible to create a scheme which allows to create instantly infinitely many such puzzles. Since January 2010 their web page has a daily new calcrostic problem and the solution of previous day s problem. Also the North East Asian Mathematics Competition held March 2015 in Nanjing, Jiangsu, China, with participating high school students from nine Asian countries had, as part of their event, one contest that exclusively featured calcrostic problems from Caribou. Correlation of Solutions To ensure that Caribou contests are fair it is interesting to study unlikely correlations between answers of different students from the same school. A first version of their correlation test was based on the assumption that all questions are equally hard and all wrong options are equally often selected. A planned newer version takes into consideration how often each question was solved correctly and how often each of the wrong options was chosen, both depending on the strength of the students. This generalization is possible due to the large number of participants in each contest. Arbitrary Size Sudoku The Caribou interactive games, like Mastermind, Sudoku and Nim are freely available online for practise. Most have an unlimited number of initial positions to play against. The usual 3x3 Sudoku giving a (3x3)x(3x3) square can already be challenging. What Wolf developed is a method to generate a large class of arbitrary size Sudoku. The generation of arbitrarily large and difficult Sudoku is possible in a time only growing linearly with the area of the puzzle. What does take longer is to generate Sudoku that are minimal in the sense that taking away any initial number would give up the property of a unique solution. Presented with Caribou Cups - top student in each grade Back Row: Ian Kennedy & Cory McLean Front Row: Dillon McLean Gr. 4, Isaac Puar Gr. 5, Reese Tam Gr. 3, Collingwood School, West Vancouver, BC Colouring Maps A game to colour maps with a minimal number of colours is already available online by a different publisher. But that game has a fixed number of initial maps to colour. The Caribou map colouring program is able to generate an arbitrary number of initial maps with different connectivity properties and arbitrary size giving a rich source to study solution strategies. Coming Soon New interactive questions to be available in the coming school year include interactive geometry constructions, map colouring, the Hackenbush game, Tangram and the Sokoban game. All contest information, and how to participate, is available on the Caribou home page cariboutests.com. Caribou Contests is grateful to the Fields Institute for the support received over the previous years. Thomas Wolf has provided the calcrostic puzzle below where for each letter a digit needs to be found such that the value of all 7 rows, 7 columns, 11 diagonals from top left to bottom right and 11 diagonals from top right to bottom left are all zero. The solution will be available in the next issue! Thomas Wolf (Brock) and the Editors of Fields Notes abe j + hcbhgb hf + hb hb hchbef j j + hf hj b + hi hb hcbhge j i d + ia hcbfde + e he cja c + c + f hchgjc hcbfge dbd + becidh + cga hah + bid b h becihb becijc + ccg hchaee hchedb + e bej he + b b hcb if becijc hii hchiea b j b b + bejeji THE FIELDS INSTITUTE for Research in Mathematical Sciences FIELDSNOTES 7

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