  Centrale des maths - centraledesmaths.uregina.ca  Dilemmes & doutes    « D & D »    Sujet: length of a curve   nouvelle recherche

Un article trouvé pour ce sujet.    Page1/1            Fourier transform 2001-08-07 Adbul pose la question : Sir, we have the Dirichlet's condition for the Fourier transform : " The function should be integral over the real line " But why we are we neglecting this for example when we take the Fourier transform of an impulse train? Suppose we want to travel from one corner of a square of side 'a' to the diagonally opposite corner. We can travel along the sides which gives a pah length of '2a'. We can also do it in steps as shown below: ` _ | |_PATH | |_ |_____| ` Suppose The step size =DELTA x Then the path length will be again '2a'. Now in the limit DELTA x -->0 again we get '2a' But when we take the limit we get the straight line diagonal whose length is 'SQRT(2)X a' Where did I go wrong? Chris Fisher lui répond.      Page1/1    Centrale des maths reçoit une aide financière de l’Université de Regina et de The Pacific Institute for the Mathematical Sciences.    Qui sommes-nous :: carte du site :: our english site