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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/1eadf1228048889.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 0 -1 0 -1 -2 -3 -2 -1 -2 -1 0 1 2 3 2 1 0 -1 0 1 0 [26] -1 0 1 2 1 2 3 2 3 4 5 6 5 6 7 8 9 10 9 8 7 6 7 6 7 [51] 6 7 8 9 10 9 10 9 8 9 10 9 8 9 10 9 8 9 8 9 10 9 10 9 10 [76] 9 10 11 12 11 12 11 10 9 8 9 10 11 12 13 14 15 14 15 14 13 12 13 12 11 [101] 10 9 8 9 10 11 12 13 12 13 14 13 14 13 12 13 14 13 12 13 12 11 10 9 8 [126] 7 6 5 6 7 8 9 10 9 8 9 10 11 12 13 14 15 16 17 18 19 18 19 18 19 [151] 18 17 16 15 14 13 12 13 12 13 12 13 14 15 14 13 12 13 14 13 14 15 16 15 14 [176] 13 14 15 14 13 14 13 12 13 14 15 16 15 16 15 14 15 16 17 18 19 20 21 20 19 [201] 18 17 16 15 14 13 14 15 16 17 18 17 16 15 14 13 12 13 14 13 14 15 14 15 14 [226] 13 12 13 14 15 14 13 14 15 16 15 14 13 14 15 16 17 18 19 18 19 20 19 18 19 [251] 18 17 18 17 16 15 16 15 14 13 14 15 16 15 14 13 14 13 14 15 16 17 16 15 14 [276] 15 14 15 16 17 18 17 18 19 18 17 18 17 18 17 16 17 16 17 18 17 16 17 18 19 [301] 18 19 20 19 18 19 20 21 22 21 20 19 20 21 20 19 20 19 18 19 18 17 18 17 18 [326] 17 16 15 14 15 16 15 16 15 16 17 18 17 18 19 20 21 20 19 18 19 18 19 18 19 [351] 20 21 22 23 22 23 24 23 24 23 22 21 20 19 18 17 16 15 14 15 16 17 16 15 14 [376] 13 12 11 12 13 14 15 16 17 16 15 14 15 14 13 14 13 14 15 16 17 16 17 18 19 [401] 20 21 20 19 18 17 16 17 16 17 16 15 16 17 18 19 18 19 18 17 16 15 16 15 16 [426] 17 18 17 16 15 14 13 12 13 12 11 10 9 8 7 6 5 6 7 6 7 6 5 6 7 [451] 8 7 8 9 8 7 8 9 10 11 10 11 10 11 10 11 10 9 10 11 12 13 12 13 14 [476] 15 14 13 14 15 16 17 16 17 16 15 14 15 16 17 18 19 18 19 18 19 20 19 20 19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2f1a61228048889.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] 1.597341e+03 2.907758e+02 1.733330e+02 2.344430e+01 1.999888e+02 [6] 2.785281e+02 1.481692e+02 1.563114e+02 2.028008e+02 1.878942e+02 [11] 3.259223e+01 3.250421e+01 5.823549e+01 6.011726e+01 3.467494e+01 [16] 3.266853e+01 3.694996e+00 5.340206e+01 7.871946e+01 9.730212e+00 [21] 3.218462e+01 8.971536e+00 4.534843e+00 1.540898e+00 7.142389e+00 [26] 2.504468e+01 8.127695e+00 1.288259e+01 1.919294e+01 2.951785e+00 [31] 4.425950e+00 1.894595e+01 2.525087e+00 2.277843e+01 4.307278e+00 [36] 4.803875e+00 2.409269e+00 1.210945e+01 1.451244e+01 6.082403e+00 [41] 5.208062e+00 8.160787e+00 3.502181e+00 1.037697e+01 3.161962e+00 [46] 1.248985e+01 3.701773e-01 5.199099e-01 5.762477e+00 8.511300e+00 [51] 1.539591e-01 9.754479e-01 2.745266e-01 1.024620e+00 9.849101e+00 [56] 1.730475e+00 3.413484e-01 4.704270e+00 2.840124e+00 6.830393e-02 [61] 3.354705e+00 2.120321e+00 6.364575e-01 1.937996e+00 3.172278e+00 [66] 1.177586e+00 2.289240e-01 8.600815e-01 1.404531e+00 2.582642e+00 [71] 5.539548e-02 9.216100e-01 4.187520e-01 4.956036e-01 6.822494e-02 [76] 1.094974e+00 2.052757e+00 1.723816e+00 1.467512e+00 9.931799e-02 [81] 1.945017e+00 2.259715e-02 2.103812e+00 4.525450e-01 1.311165e+00 [86] 2.844648e-01 3.788875e-01 1.254723e+00 1.970099e+00 2.532490e-01 [91] 5.599630e-01 6.940300e-02 1.307486e+00 1.565182e+00 5.107234e-01 [96] 1.719358e+00 1.096024e-01 5.108368e-01 6.534460e-01 3.447934e-01 [101] 2.746010e-01 5.004088e-01 1.437064e-01 2.250121e-01 2.352259e-02 [106] 1.001105e+00 2.033977e+00 3.140372e-01 4.449055e-01 4.500626e-01 [111] 4.402994e-01 5.538774e-01 1.101964e-02 5.821729e-01 1.303927e-01 [116] 1.361581e+00 7.966964e-01 4.855814e-01 3.725480e-01 2.262343e-02 [121] 7.428227e-01 4.147057e-01 6.721701e-01 7.354493e-01 7.103786e-02 [126] 4.871533e-01 5.486601e-02 6.456613e-01 3.973184e-01 3.205338e-01 [131] 1.787350e-01 6.525012e-01 1.927645e-01 5.766061e-02 8.626265e-01 [136] 5.379648e-01 6.954540e-01 5.042390e-02 1.031842e-01 3.234147e-01 [141] 2.959826e-01 9.209059e-01 8.171527e-02 1.296037e-02 9.258797e-01 [146] 9.621406e-03 1.374372e-01 7.668926e-02 3.253042e-01 6.315347e-01 [151] 3.838978e-01 1.593974e-02 1.145187e+00 2.600496e-01 5.381081e-01 [156] 1.788412e-01 3.222680e-01 3.854713e-01 1.396018e-01 5.064898e-02 [161] 2.820265e-02 7.074652e-01 5.943747e-02 1.702739e-01 1.875395e-01 [166] 3.871028e-03 6.994797e-02 4.973215e-02 3.479614e-02 4.227339e-01 [171] 3.008010e-01 9.081757e-02 2.158740e-01 4.446464e-01 1.108174e-02 [176] 1.929767e-01 7.330223e-01 8.488929e-01 6.953662e-01 2.555923e-01 [181] 2.893293e-01 5.111791e-01 1.111591e-01 2.785912e-01 3.269625e-01 [186] 1.341471e-01 9.097679e-02 3.033751e-02 4.624061e-01 2.781953e-01 [191] 2.691468e-01 2.587084e-01 2.319511e-01 8.775329e-01 5.541030e-02 [196] 1.007924e-01 7.411257e-02 9.286579e-01 6.013001e-03 7.477966e-02 [201] 8.436435e-02 5.105248e-02 1.742620e-02 1.565440e-01 2.581628e-01 [206] 3.413932e-01 9.681640e-02 3.702805e-02 1.112321e-02 2.236561e-01 [211] 1.464491e-01 3.163761e-01 1.676619e-02 1.537468e-01 3.020177e-01 [216] 3.375321e-01 9.090588e-02 2.693918e-01 2.289279e-01 4.904340e-01 [221] 2.213672e-01 1.874779e-01 3.250069e-01 1.359826e-01 1.721108e-01 [226] 2.295362e-03 6.504038e-02 4.898187e-01 3.789513e-01 4.515923e-01 [231] 4.529508e-01 1.950469e-01 1.458762e-02 6.005404e-01 2.725034e-03 [236] 2.580087e-01 6.171467e-02 1.322840e-01 1.173848e-01 6.588703e-01 [241] 2.428317e-03 8.057827e-01 8.368446e-02 1.236685e-01 2.702072e-03 [246] 7.960875e-02 3.928834e-02 2.959419e-01 9.219223e-02 1.138853e-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/3rzcd1228048889.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/1eadf1228048889.ps tmp/1eadf1228048889.png") > system("convert tmp/2f1a61228048889.ps tmp/2f1a61228048889.png") > system("convert tmp/3rzcd1228048889.ps tmp/3rzcd1228048889.png") > > > proc.time() user system elapsed 0.813 0.591 0.972