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SUMMARY:Masterclass: Programming in Maple: an extended example using Bohem
 ians - Robert Corless (University of Western Ontario)
DTSTART:20191213T100000Z
DTEND:20191213T110000Z
UID:TALK135688@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<br> A Bohemian is a BOunded HEight Matrix of Integers (BOHEMI
 \, close enough).  Recently I have become very interested in such things\;
  see bohemianmatrices.com for some reasons why.  In this hour we will look
  at a collection of Maple procedures designed (this month!) to answer ques
 tions about complex symmetric\, tridiagonal\, irreducible\, zero-diagonal 
 Bohemians (a new class\, chosen just for this workshop).  This means that 
 there will be (#P)^(m-1) m-dimensional such matrices for a given populatio
 n of elements P\, which for this class cannot contain zero.  We will look 
 at fast ways to generate these matrices\, how to generate fast(ish) code t
 o compute the characteristic polynomials (and why)\, and generally use thi
 s topic as an excuse to learn some Maple programming.<br> <br> The hour wi
 ll assume some familiarity with programming\; for instance\, if you know M
 atlab\, then you very nearly know Maple already (in some ways they are sim
 ilar enough that it causes confusion\, unfortunately).  But it will not be
  necessary\; I hope to encourage a friendly atmosphere and we&#39\;ll gene
 rate some interesting (I hope) images\, and perhaps some interesting mathe
 matical conjectures.  But even if you know Maple well\, you might learn so
 mething interesting.  All the scripts/worksheets/workbooks have been made 
 available at http://publish.uwo.ca/~rcorless/Maple2019/ so you may downloa
 d them and run and modify the examples yourself\, and generate your own Bo
 hemian images.<br> <br> Indeed I believe that it is entirely likely that y
 ou will be able to formulate your own Bohemian conjectures during this act
 ivity\; and it has been known for participants to prove theorems about the
 m\, during the lecture.  Who knows\, perhaps your next paper will get its 
 main result during this activity.<br> <br> Licences for Maple valid for on
 e month have been generously provided for participants by Maplesoft. There
  will be a representative from Maplesoft here to answer any questions.
LOCATION:Seminar Room 1\, Newton Institute
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