ps1_soln - r = ( x.^2 + y.^2 ).^.5; % estimate pi for n...

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EE 497B Problem Set 1 Solutions -8- Problem 8: % EE 498B Spring 2008 % Problem Set 1, Problem 8 R = 0.25; % radius of dart board N = 1e6; % maximum number of times to throw the dart theta = zeros(N,1); % vector for storing estimate % Generate x and y coordinates of dart impact locations x = rand([N,1]) - 0.5; % center board at origin y = rand([N,1]) - 0.5; % Distance from center of square-board to dart impact
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Unformatted text preview: r = ( x.^2 + y.^2 ).^.5; % estimate pi for n throws Ni = 0; for n = 1 : N if r(n) <= R Ni = Ni + 1; end theta(n) = 16 *( Ni / n); % Estimate pi end ; % plot estimate semilogx([2:N], theta(2:N), '-b' , [2,N], [pi,pi], '--r' ) title( 'Estimate of \pi' ) ylabel( '\theta: Estimate of \pi' ); xlabel( 'N: Number of Throws in Experiment' ) legend( 'estimate' , 'true value' );...
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This note was uploaded on 07/23/2008 for the course EE 497B taught by Professor Schiano during the Spring '08 term at Pennsylvania State University, University Park.

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ps1_soln - r = ( x.^2 + y.^2 ).^.5; % estimate pi for n...

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