Transcription of Computational & Applied Mathematics - UNIGE
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Computational & GanderDepartmentofMathematicsandStatisti csMcGillUniversityOnleave at theUniversityofGeneva, 2002/2003 ComputationalandAppliedMathematics Vessel: speed vPolice Boat: speed uyxx0y0 Whatdirectiondoesthepoliceboathave tochoosetoapproachthesuspectvesseluptoa distanceRasquicklyaspossible?Computation alandAppliedMathematics thesametime=)y20+ (vt x0)2= (ut+R) NoteontheOptimalInterceptTimeofVesselsto a NonzeroRange G,SIAMR eview , , ViewSide ViewWhatis themaximumnumberofpiecesonecangetfroma donutwhencuttingit withthreeplanarcuts?Startingwithanapple, how many piecescanweget?ComputationalandAppliedMa thematics viewFirst cutThemostwecangetwitha singleplanarcutis viewFirst and second cutWe getsixpiecesintotal,eachofthefirsttwo is many piecesdowehave now ?ComputationalandAppliedMathematics right octant:1234567891011121314153 piecesUpper top octant:Lower top octant:1 pieceLower left octant:2 piecesUpper left octant:2 pieces1 pieceLower right octant:1 pieceLower bottom octant:2 piecesUpper bottom octant:3 pieces15 Pieceswith3 , themaximumnumberofpiecesonecangetis 13!
Computational & Applied Mathematics Understanding our World 0 0.5 1 1.5 2 0 0.5 1 1.5 2 Martin J. Gander Department of Mathematics and Statistics McGill University On leave at the University of Geneva, 2002/2003 Computational and Applied Mathematics – p.1/31. Optimal Intercept Time
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Introduction to Methods of Applied Mathematics, Methods, Mathematical Methods in Engineering and, Applied mathematics, I. Introduction to Applied Mathematics, Lecture Notes on Mathematical Modelling in Applied Sciences, Applied Mathematical Methods, Mathematics Applied Mathematical Methods, Mathematical, METHODS OF APPLIED MATHEMATICS FOR ENGINEERS, METHODS OF APPLIED MATHEMATICS FOR ENGINEERS AND SCIENTISTS, HOW APPLIED MATHEMATICS BECAME PURE, Mathematics, Methods of Applied Mathematics