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Type 'q()' to quit R. > par2 = '0.5' > par1 = '500' > 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/1rgfl1227877582.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 0 -1 -2 -3 -4 -5 -6 -5 -6 -5 -4 -3 -2 -1 -2 -1 [19] 0 1 2 3 4 3 4 3 2 3 4 5 4 3 4 5 6 7 [37] 8 7 8 7 8 9 10 11 10 11 12 13 12 13 14 13 14 15 [55] 16 15 14 13 12 11 12 11 10 9 8 9 10 9 8 9 10 9 [73] 10 9 10 11 12 11 10 9 8 7 6 5 6 7 6 5 6 5 [91] 4 3 2 1 2 3 2 3 4 3 4 5 6 7 6 5 6 5 [109] 4 5 6 5 4 5 6 7 6 5 4 3 2 1 2 1 0 1 [127] 2 3 2 1 2 1 2 1 2 1 2 1 0 -1 0 1 0 1 [145] 0 -1 0 -1 0 1 2 3 2 3 2 3 2 3 2 1 2 1 [163] 0 -1 -2 -1 -2 -1 -2 -1 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 [181] -2 -3 -4 -5 -6 -5 -6 -5 -4 -5 -6 -7 -8 -9 -10 -9 -8 -9 [199] -8 -7 -8 -9 -8 -9 -8 -9 -10 -9 -10 -9 -8 -7 -8 -9 -8 -9 [217] -8 -7 -8 -7 -6 -7 -8 -9 -8 -7 -6 -5 -6 -7 -6 -7 -8 -9 [235] -8 -7 -8 -9 -8 -9 -10 -11 -10 -11 -10 -11 -12 -13 -12 -11 -10 -9 [253] -8 -9 -10 -11 -12 -11 -10 -9 -10 -9 -8 -7 -8 -7 -8 -7 -6 -5 [271] -4 -3 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -2 -3 -2 -3 -4 -5 [289] -6 -5 -6 -5 -6 -7 -8 -9 -10 -9 -10 -11 -12 -13 -14 -15 -16 -15 [307] -16 -17 -18 -17 -16 -15 -14 -15 -14 -13 -12 -11 -10 -11 -12 -11 -12 -13 [325] -12 -13 -12 -11 -10 -11 -10 -9 -8 -9 -10 -9 -8 -9 -10 -9 -10 -11 [343] -12 -11 -12 -11 -10 -9 -8 -7 -6 -5 -6 -5 -4 -5 -6 -5 -6 -5 [361] -6 -5 -4 -5 -6 -5 -4 -3 -4 -3 -4 -5 -4 -3 -2 -3 -2 -1 [379] 0 1 2 3 2 3 2 1 2 1 0 1 0 1 2 3 4 3 [397] 2 1 0 -1 0 1 0 -1 -2 -1 0 -1 0 1 2 3 2 3 [415] 4 3 4 5 4 5 4 5 6 7 8 9 10 9 10 11 10 9 [433] 8 9 10 9 10 11 10 9 8 9 10 11 10 9 10 11 10 9 [451] 10 11 10 11 12 11 10 9 10 11 12 11 10 9 8 7 6 7 [469] 8 7 8 9 10 11 12 11 12 11 10 9 8 9 10 11 10 11 [487] 10 11 12 13 12 11 10 9 10 11 12 11 10 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/24x371227877582.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] 1.040549e+04 4.778374e+02 1.451491e+03 4.137857e+02 8.480920e+02 [6] 2.288595e+02 5.678130e+01 3.933239e+01 4.120378e+02 5.987350e+01 [11] 5.329183e+01 3.846494e+00 2.774797e+01 2.474796e+01 4.946149e+01 [16] 4.003312e+01 1.973576e+00 1.369211e+01 1.448407e+01 3.152769e+01 [21] 3.069008e+00 6.625529e+00 4.300427e+00 1.572940e+00 2.963885e+01 [26] 7.097491e-01 4.059611e+00 1.279832e+00 1.151048e+00 4.744019e+00 [31] 2.097021e+01 1.728508e+01 3.172059e+00 5.963569e+00 1.570887e+00 [36] 7.991310e+00 6.909981e-01 2.147755e+00 4.317001e+00 5.411992e+00 [41] 8.084734e-01 2.604094e+00 1.969751e+00 1.993274e+00 1.593870e+00 [46] 5.060929e+00 6.369162e-01 2.398647e+00 9.171423e+00 6.018581e-01 [51] 1.191598e+00 7.417240e-01 3.220250e+00 4.295080e+00 2.940873e+00 [56] 3.469706e-01 1.358784e+00 1.563319e+00 9.134659e-02 7.569056e+00 [61] 3.712694e-02 9.818530e-02 4.869116e+00 2.395539e+00 1.511021e+00 [66] 2.466185e+00 4.675511e-02 1.171792e+00 1.459616e-01 2.928649e-01 [71] 2.184830e-01 2.151921e+00 1.317404e+00 5.046534e+00 3.168363e-01 [76] 1.809067e+00 2.230283e+00 1.020273e+00 1.523210e-01 2.085524e+00 [81] 2.119790e+00 2.881564e-01 1.895254e-01 2.374178e+00 2.735002e-01 [86] 6.134236e-01 5.211218e-01 2.701073e-01 4.775162e-01 4.857732e-01 [91] 1.950220e-01 5.409490e-02 1.585996e-01 1.375829e+00 9.667407e-01 [96] 1.222790e-01 5.935255e-01 6.930187e-01 6.516303e-01 3.969187e-01 [101] 2.112449e-01 3.278904e-01 4.044055e-01 3.728874e-01 9.736177e-02 [106] 2.149332e+00 8.189128e-01 8.537287e-01 1.041940e+00 7.273675e-02 [111] 3.571220e-01 2.872653e-01 1.257200e+00 5.746748e-01 3.064581e-01 [116] 3.232571e-01 2.423799e+00 3.204153e-01 5.730561e-01 3.981483e-01 [121] 7.342345e-01 1.076873e+00 4.558859e-01 2.049903e-01 1.515275e+00 [126] 2.089032e-01 5.401908e-01 2.118387e-01 1.904539e+00 4.765937e-01 [131] 4.721780e-01 1.369563e-01 1.252876e+00 9.574618e-02 1.690202e+00 [136] 6.465681e-02 2.550717e-02 4.988331e-01 5.037553e-01 5.747798e-02 [141] 7.713650e-01 5.673848e-02 9.320921e-01 8.131496e-01 1.199951e-01 [146] 9.859528e-02 6.205050e-02 1.390769e+00 2.725145e-01 5.563264e-02 [151] 4.134008e-01 1.460519e-01 2.121455e-01 5.404602e-02 4.540507e-01 [156] 3.364096e-01 8.609063e-03 4.896378e-01 5.484449e-01 1.314017e-01 [161] 3.551945e-01 6.724363e-02 1.368694e+00 8.671917e-02 1.624926e-02 [166] 3.477517e-01 1.879518e-01 9.529628e-01 4.224270e-02 1.324564e-01 [171] 3.482455e-01 1.304942e-01 5.218475e-02 2.261898e-01 1.621404e-01 [176] 1.055929e-01 1.016132e+00 1.052278e-01 4.457170e-01 1.518957e-01 [181] 1.781073e-01 8.333840e-02 1.491102e-01 5.442743e-01 4.452108e-01 [186] 1.716763e-01 1.197686e-01 1.733506e-01 6.118627e-01 4.834310e-01 [191] 1.710268e-01 2.894895e-02 3.679045e-01 2.180957e-02 1.281901e-01 [196] 3.368311e-02 6.961603e-02 3.205700e-01 3.065404e-01 1.290879e-01 [201] 1.782072e+00 2.165523e-01 2.091866e-01 6.573283e-02 4.348827e-01 [206] 2.691144e-01 2.709480e-01 3.368312e-01 2.373548e-01 3.917581e-01 [211] 9.977818e-04 2.174017e-01 9.069781e-01 6.119090e-01 5.611173e-02 [216] 1.650882e-01 4.455459e-01 2.517516e-01 6.817878e-01 3.394595e-02 [221] 1.816230e-01 1.634383e-01 1.547981e-01 1.361512e-02 1.671080e-01 [226] 3.057176e-01 1.090769e-01 6.257452e-02 6.233762e-02 3.817018e-01 [231] 7.095406e-02 1.779991e-02 1.182846e-01 1.255062e-01 1.113944e-01 [236] 3.684388e-01 2.893307e-01 1.522678e-01 4.435399e-01 6.052821e-01 [241] 1.252662e-01 2.580193e-01 6.771025e-02 3.251553e-01 1.808926e-01 [246] 1.712629e-01 2.050552e-01 1.259781e-01 3.318587e-01 1.080994e-03 $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/31hco1227877582.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/1rgfl1227877582.ps tmp/1rgfl1227877582.png") > system("convert tmp/24x371227877582.ps tmp/24x371227877582.png") > system("convert tmp/31hco1227877582.ps tmp/31hco1227877582.png") > > > proc.time() user system elapsed 0.802 0.591 0.980