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Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > n <- as.numeric(par1) > p <- as.numeric(par2) > heads=rbinom(n-1,1,p) > a=2*(heads)-1 > b=diffinv(a,xi=0) > c=1:n > pheads=(diffinv(heads,xi=.5))/c > postscript(file="/var/www/html/rcomp/tmp/1qhxc1228222011.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op=par(mfrow=c(2,1)) > plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) > lines(c,b,col='red') > lines(c,rep(0,n),col='black') > plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) > lines(c,pheads,col='blue') > lines(c,rep(.5,n),col='black') > par(op) > dev.off() null device 1 > b [1] 0 -1 -2 -1 -2 -3 -4 -3 -4 -3 -4 -5 -6 -5 -6 -7 -6 -5 [19] -6 -7 -8 -9 -8 -9 -10 -9 -10 -11 -10 -9 -10 -9 -10 -11 -12 -13 [37] -12 -13 -14 -13 -14 -15 -14 -15 -16 -17 -18 -19 -18 -19 -18 -19 -20 -21 [55] -20 -19 -20 -19 -18 -19 -18 -19 -18 -19 -20 -19 -18 -19 -18 -17 -18 -19 [73] -20 -19 -20 -19 -18 -19 -20 -21 -20 -21 -20 -19 -18 -19 -18 -17 -18 -17 [91] -18 -17 -18 -17 -16 -17 -16 -15 -16 -15 -16 -15 -16 -17 -18 -17 -16 -15 [109] -14 -13 -14 -15 -14 -15 -14 -13 -14 -15 -14 -13 -14 -13 -14 -15 -14 -13 [127] -12 -13 -12 -11 -10 -9 -8 -9 -8 -7 -6 -7 -8 -7 -6 -7 -6 -7 [145] -6 -5 -4 -5 -6 -5 -6 -5 -6 -5 -4 -3 -4 -5 -6 -5 -4 -5 [163] -6 -7 -8 -7 -6 -5 -4 -5 -6 -7 -6 -7 -6 -7 -6 -7 -6 -5 [181] -6 -7 -8 -7 -6 -5 -4 -5 -6 -5 -6 -7 -6 -7 -6 -7 -6 -7 [199] -8 -7 -6 -7 -8 -7 -6 -7 -6 -5 -6 -7 -8 -9 -8 -9 -8 -7 [217] -8 -7 -8 -9 -8 -9 -10 -9 -8 -9 -10 -9 -10 -11 -12 -11 -10 -11 [235] -12 -13 -12 -11 -10 -9 -8 -9 -10 -9 -8 -9 -10 -11 -12 -13 -12 -11 [253] -10 -11 -10 -9 -10 -11 -12 -13 -12 -11 -10 -9 -8 -9 -10 -9 -10 -11 [271] -10 -11 -10 -9 -10 -9 -10 -9 -10 -9 -8 -9 -8 -7 -6 -5 -4 -5 [289] -4 -5 -6 -5 -6 -7 -6 -7 -6 -5 -4 -5 -6 -7 -8 -9 -8 -9 [307] -10 -9 -10 -11 -12 -13 -14 -13 -12 -13 -14 -15 -14 -13 -14 -15 -16 -15 [325] -14 -13 -12 -11 -10 -11 -12 -13 -14 -15 -14 -13 -12 -13 -14 -13 -14 -13 [343] -12 -13 -14 -15 -16 -15 -14 -15 -16 -17 -16 -15 -16 -15 -14 -15 -16 -17 [361] -16 -15 -14 -15 -14 -13 -12 -13 -14 -13 -12 -13 -14 -15 -16 -17 -18 -17 [379] -16 -17 -18 -17 -18 -17 -18 -17 -18 -19 -20 -19 -20 -19 -20 -19 -18 -17 [397] -16 -17 -18 -19 -20 -21 -22 -21 -22 -21 -22 -23 -22 -23 -22 -23 -22 -23 [415] -22 -21 -20 -19 -18 -19 -18 -17 -16 -15 -16 -15 -16 -17 -16 -15 -14 -13 [433] -12 -11 -10 -11 -10 -9 -8 -7 -8 -7 -8 -9 -8 -9 -10 -11 -12 -11 [451] -10 -9 -10 -11 -10 -9 -8 -9 -10 -9 -8 -7 -8 -9 -10 -11 -12 -13 [469] -14 -15 -16 -17 -18 -19 -18 -17 -18 -17 -18 -19 -18 -17 -18 -17 -18 -17 [487] -18 -19 -18 -17 -18 -17 -16 -15 -16 -17 -18 -17 -18 -19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2j7a11228222011.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > r <- spectrum(x,main='Raw Periodogram') > dev.off() null device 1 > r $freq [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216 [109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240 [121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264 [133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288 [145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312 [157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336 [169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360 [181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384 [193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408 [205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432 [217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456 [229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480 [241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500 $spec [1] 1.464674e+03 1.545571e+03 1.607897e+03 1.020973e+02 6.991354e+01 [6] 4.142322e+02 3.859630e+02 3.189970e+01 1.034179e+00 7.058109e+01 [11] 2.720290e+01 3.230608e+00 3.946195e+01 1.779014e+01 4.186769e+01 [16] 1.476513e+01 7.361660e+00 3.037018e+00 2.244802e+00 2.149982e+01 [21] 8.841341e+00 4.402930e+00 3.071228e+01 2.828322e-01 5.384037e+00 [26] 2.234272e+01 7.363804e-01 7.665211e+00 2.916334e-01 6.153427e-01 [31] 1.628700e+00 6.570585e-01 7.881219e-01 4.478598e-01 8.209332e+00 [36] 9.021250e+00 8.227989e+00 2.905922e+00 2.521646e+00 1.340683e+00 [41] 2.549945e+00 9.070570e+00 8.942333e-01 4.109599e-01 1.007254e+01 [46] 4.239078e+00 1.700976e+00 2.388393e+00 7.353291e-01 5.330773e+00 [51] 6.890361e+00 3.302031e+00 2.599078e+00 2.325346e+00 1.871929e+00 [56] 2.686022e+00 1.329113e+00 1.164428e+00 2.974221e+00 1.219306e-02 [61] 1.529189e+00 1.135674e-01 8.990269e-01 2.435579e+00 2.771235e+00 [66] 8.891943e-01 2.013573e+00 3.033492e+00 7.354448e-01 3.369978e-01 [71] 1.185253e+00 3.032246e+00 6.560867e-01 1.266891e+00 2.120157e-01 [76] 5.420531e+00 2.304103e+00 1.649814e+00 7.077167e-01 7.482521e-01 [81] 2.769145e-01 9.136330e-01 3.100124e+00 5.330386e-01 3.775301e+00 [86] 4.106845e-01 1.282896e+00 2.703580e+00 2.685057e-01 3.250352e-01 [91] 3.224096e-01 2.897892e+00 7.127257e-01 1.704656e-01 1.154527e+00 [96] 2.681597e-01 2.400310e-01 9.563399e-01 6.355124e-02 1.638517e+00 [101] 7.529746e-01 8.842248e-01 5.936603e-01 1.034166e+00 7.553899e-01 [106] 1.044704e+00 1.244238e-01 2.248766e-01 3.048406e-01 2.374746e-01 [111] 1.408852e-01 1.475532e-01 1.753440e-01 3.461025e-01 3.199877e-02 [116] 8.384594e-01 1.530325e+00 6.868225e-01 5.468072e-01 1.869766e-01 [121] 4.181237e-01 1.149536e-01 3.587460e-01 1.463393e+00 3.855989e-01 [126] 1.133345e+00 1.181163e+00 1.399045e-02 6.777265e-02 2.932865e-01 [131] 2.730092e-02 1.585936e-01 3.141555e-01 1.952100e-01 3.328239e-01 [136] 5.872024e-01 9.454290e-01 4.809189e-01 1.539790e-01 4.380178e-01 [141] 1.151846e+00 4.740315e-01 8.425742e-01 5.586821e-02 6.724284e-01 [146] 3.583976e-01 7.457395e-01 8.875749e-01 1.080561e+00 5.213986e-02 [151] 7.875982e-02 5.715284e-01 1.402048e-02 9.781479e-02 1.062594e-01 [156] 3.659163e-01 1.347716e-01 3.841468e-01 5.712433e-02 4.471760e-02 [161] 4.761246e-01 6.980366e-01 6.584557e-02 8.629724e-01 2.540514e-01 [166] 8.540363e-03 4.188967e-01 2.529119e-02 1.021651e-01 1.518995e-01 [171] 3.960881e-01 2.277894e-01 2.774458e-01 6.909548e-01 2.619926e-01 [176] 2.114693e-03 3.082496e-01 1.546560e-01 6.354243e-01 2.307321e-01 [181] 3.940802e-01 1.017608e-01 2.782097e-01 1.807714e-02 6.920310e-01 [186] 4.258867e-01 5.040427e-02 9.264227e-02 1.089689e-01 1.594574e+00 [191] 2.173800e-01 2.455188e-01 6.030134e-01 3.582575e-01 2.877583e-01 [196] 5.185541e-01 3.187187e-01 3.682800e-01 6.466061e-01 2.311292e-01 [201] 1.420771e-01 5.652519e-02 2.992162e-01 1.135538e-01 2.243640e-02 [206] 2.802517e-01 7.933937e-01 3.091968e-02 1.578046e-02 6.353606e-01 [211] 2.529775e-02 4.049685e-02 2.484884e-02 9.817370e-03 2.749641e-02 [216] 9.606033e-02 9.731353e-02 1.926563e+00 4.040844e-01 6.050654e-01 [221] 3.627892e-02 3.143055e-02 5.441844e-01 8.851630e-02 1.139738e-01 [226] 1.078744e-01 3.483713e-01 5.475192e-02 2.560828e-02 1.287817e-01 [231] 3.478090e-02 1.832681e-01 3.849699e-01 2.910428e-01 1.025751e-01 [236] 5.632163e-02 4.422810e-01 4.189793e-01 1.243086e-01 6.261854e-02 [241] 5.981113e-01 4.604558e-01 4.854129e-01 7.733782e-03 1.506863e-01 [246] 2.891977e-01 2.785247e-02 4.304663e-02 1.743500e-01 1.433789e-01 $coh NULL $phase NULL $kernel NULL $df [1] 1.791590 $bandwidth [1] 0.0005773503 $n.used [1] 500 $orig.n [1] 500 $series [1] "x" $snames NULL $method [1] "Raw Periodogram" $taper [1] 0.1 $pad [1] 0 $detrend [1] TRUE $demean [1] FALSE attr(,"class") [1] "spec" > postscript(file="/var/www/html/rcomp/tmp/3kkol1228222011.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > cpgram(x,main='Cumulative Periodogram') > dev.off() null device 1 > > system("convert tmp/1qhxc1228222011.ps tmp/1qhxc1228222011.png") > system("convert tmp/2j7a11228222011.ps tmp/2j7a11228222011.png") > system("convert tmp/3kkol1228222011.ps tmp/3kkol1228222011.png") > > > proc.time() user system elapsed 0.811 0.599 0.952