TriangleSeries

TriangleSeries - Fourier Series for a Triangular Curve...

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Fourier Series for a Triangular Curve: First 12 Terms Michael Fowler 1 3 5 7 9 11 13 15 17 19 21 23 delta_x= 0.03 x sin x -(1/9)sin 3x (1/25)sin 5x x again 0 0 -0 0 -0 0 -0 0 -0 0 -0 0 -0 0 0 0.03 0.029996 -0.009987 0.0059775 -0.004254 0.003293 -0.002678 0.00225 -0.001933 0.001689 -0.001495 0.001336 -0.001203 0.03 0.022991 0.06 0.059964 -0.019892 0.0118208 -0.008322 0.006347 -0.005067 0.004161 -0.003481 0.002948 -0.002517 0.002159 -0.001856 0.06 0.046266 0.09 0.089879 -0.029637 0.0173986 -0.012023 0.008942 -0.006909 0.005448 -0.004337 0.003457 -0.002743 0.002153 -0.00166 0.09 0.069969 0.12 0.119712 -0.039142 0.0225857 -0.015197 0.010888 -0.008006 0.005917 -0.004328 0.003086 -0.002102 0.00132 -0.000704 0.12 0.094031 0.15 0.149438 -0.04833 0.0272656 -0.017703 0.012046 -0.008239 0.005497 -0.003458 0.00193 -0.000796 -2E-005 0.000574 0.15 0.118206 0.18 0.17903 -0.057126 0.0313331 -0.01943 0.012331 -0.007582 0.004251 -0.001899 0.000282 0.000761 -0.001351 0.001589 0.18 0.142187 0.21 0.20846 -0.065461 0.0346969 -0.020305 0.011722 -0.006107 0.002367 3.7E-005 -0.001437 0.002078 -0.002165 0.001877 0.21 0.165764 0.24 0.237703 -0.073265 0.0372816 -0.020287 0.010264 -0.003974 0.000128 0.001967 -0.002791 0.002738 -0.002147 0.001307 0.24 0.188924 0.27 0.266731 -0.080476 0.0390289 -0.019377 0.008062 -0.001411 -0.002131 0.003505 -0.003434 0.002532 -0.001305 0.000138 0.27 0.211862 0.3 0.29552 -0.087036 0.0398998 -0.017617 0.005276 0.001304 -0.00407 0.004345 -0.003204 0.001525 3.8E-005 -0.001093 0.3 0.234889 0.33 0.324043 -0.092892 0.0398746 -0.015082 0.002108 0.003878 -0.005397 0.00432 -0.002157 3.7E-005 0.001367 -0.001825 0.33 0.258273 0.36 0.352274 -0.097995 0.0389539 -0.011884 -0.001213 0.006034 -0.005914 0.003435 -0.000562 -0.001464 0.00217 -0.001721 0.36 0.282112 0.39 0.380188 -0.102306 0.0371584 -0.008165 -0.004446 0.007538 -0.005543 0.001866 0.001176 -0.002502 0.002141 -0.00083 0.39 0.306276 0.42 0.40776 -0.105788 0.0345284 -0.004086 -0.007357 0.008229 -0.004339 -7E-005 0.002615 -0.002748 0.001289 0.000441 0.42 0.33047 0.45 0.434966 -0.108414 0.0311229 0.000172 -0.009735 0.008032 -0.002484 -0.002 0.003388 -0.002126 -6E-005 0.00151 0.45 0.354375 0.48 0.461779 -0.110162 0.0270185 0.004422 -0.011407 0.006968 -0.000255 -0.003527 0.003299 -0.000831 -0.001382 0.001888 0.48 0.377811 0.51 0.488177 -0.111019 0.0223073 0.008478 -0.012253 0.005153 0.002011 -0.004352 0.002371 0.000726 -0.002176 0.001403 0.51 0.400826 0.54 0.514136 -0.110977 0.0170952 0.012162 -0.012211 0.002781 0.003976 -0.004311 0.000839 0.002054 -0.002134 0.000276 0.54 0.423685 0.57 0.539632 -0.110036 0.0114991 0.015311 -0.011285 0.000109 0.005343 -0.003411 -0.000907 0.002732 -0.001274 -0.000978 0.57 0.446737 0.6 0.564642 -0.108205 0.0056448 0.017787 -0.00954 -0.002575 0.005909 -0.001832 -0.002422 0.002547 7.6E-005 -0.001784 0.6 0.470248 0.63 0.589145 -0.105498 -0.0003363 0.019482 -0.007105 -0.004981 0.005586 0.000112 -0.00332 0.001556 0.001397 -0.001774 0.63 0.494264 0.66 0.613117 -0.101938 -0.0063098 0.020321 -0.004154 -0.006849 0.004425 0.002033 -0.003373 7.3E-005
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This note was uploaded on 02/09/2012 for the course PHYSICS 152 taught by Professor Michaelfowler during the Fall '07 term at UVA.

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TriangleSeries - Fourier Series for a Triangular Curve...

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