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Computational & Applied Mathematics - UNIGE

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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