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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/1iczu1227713515.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 3 4 5 4 3 2 3 4 3 4 3 2 3 2 1 2 3 4 5 6 7 8 [26] 9 10 9 8 7 6 5 6 7 6 5 6 7 8 7 8 9 8 9 10 11 12 11 12 13 [51] 14 13 14 13 12 11 10 9 10 11 12 11 10 11 12 13 12 13 14 15 14 15 14 13 12 [76] 11 12 11 10 9 8 7 8 9 8 7 8 7 8 9 8 9 10 9 8 7 6 7 6 7 [101] 6 5 4 5 4 3 2 1 0 1 2 1 2 3 2 1 0 1 2 3 4 3 4 5 6 [126] 5 4 3 2 3 2 3 4 5 4 3 2 1 2 3 2 3 2 3 2 1 2 1 0 -1 [151] 0 1 0 -1 0 -1 -2 -1 0 1 0 1 2 3 4 3 2 3 2 3 2 3 4 5 6 [176] 7 6 5 4 5 6 5 4 5 4 3 2 1 0 1 0 1 2 1 0 -1 -2 -1 0 -1 [201] -2 -3 -4 -3 -2 -1 0 -1 0 -1 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -3 -2 [226] -3 -2 -3 -2 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -1 0 1 0 1 2 1 2 1 0 1 [251] 0 1 0 1 0 -1 -2 -3 -2 -1 0 1 0 -1 -2 -1 0 -1 0 1 0 1 0 -1 0 [276] 1 0 1 2 1 0 -1 -2 -1 0 1 0 1 0 1 2 1 2 1 2 1 2 3 2 3 [301] 4 3 4 5 6 7 8 7 6 5 4 3 4 5 4 3 2 3 4 3 2 3 2 3 4 [326] 5 4 3 4 3 2 1 2 3 4 5 6 7 6 7 8 9 10 9 10 11 10 9 8 7 [351] 6 5 4 3 2 1 2 1 0 -1 -2 -1 -2 -1 0 1 0 -1 0 -1 0 -1 0 -1 0 [376] 1 0 -1 0 1 2 3 4 5 6 7 8 9 8 7 6 7 8 9 10 9 10 9 10 9 [401] 10 9 10 11 10 11 10 11 12 13 14 13 14 15 16 15 14 13 12 11 10 11 12 13 14 [426] 15 14 13 12 11 12 11 12 11 10 9 10 9 10 11 10 9 10 11 10 9 10 9 8 9 [451] 10 11 12 11 12 11 10 9 8 7 8 9 8 7 6 5 6 5 4 5 6 5 4 3 2 [476] 3 4 3 2 1 0 -1 -2 -3 -2 -3 -4 -3 -4 -5 -4 -5 -6 -7 -6 -7 -6 -7 -8 -9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2kxn51227713515.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] 2.680575e+03 3.336661e+02 4.489587e+02 1.282311e+03 3.656916e+01 [6] 2.193786e+02 8.397865e+01 2.823210e+00 1.949808e+02 3.978812e+01 [11] 4.194782e+01 1.193110e+02 9.196715e+00 9.006844e+01 2.413304e+01 [16] 8.050151e+00 1.186293e+01 3.791542e+00 5.114553e+00 3.650015e+01 [21] 1.131635e+01 4.673928e+01 3.724841e+00 1.911669e+01 2.447797e+01 [26] 2.069334e+00 8.471924e+00 9.948021e-01 1.955898e+00 6.842099e+00 [31] 1.849688e+00 8.791189e+00 1.169284e+00 6.553286e+00 3.181950e+00 [36] 1.166824e+01 3.110895e+00 1.233213e+00 1.158456e+00 3.125707e+00 [41] 3.673270e+00 2.266329e+00 1.411973e+00 4.661132e-01 6.649698e-01 [46] 3.111627e+00 8.683396e+00 4.320291e+00 2.619998e+00 5.473823e+00 [51] 1.177375e+01 1.019919e+01 4.766704e-01 1.703493e-01 3.458145e+00 [56] 1.397444e+00 3.451826e+00 3.405299e+00 7.117627e-01 1.936308e+00 [61] 6.437663e-01 2.863885e+00 5.322552e-01 9.761441e-01 1.648174e+00 [66] 1.337029e+00 4.441602e+00 2.468331e+00 2.905348e+00 1.261756e+00 [71] 2.017796e-01 5.264041e-01 2.080297e-01 1.348248e+00 4.877821e+00 [76] 4.313316e-01 3.461984e-01 2.929731e-02 3.011249e+00 1.163472e-01 [81] 7.828965e-01 2.879203e+00 1.012589e+00 9.017514e-01 8.453410e-01 [86] 4.015235e-01 3.197641e+00 1.741036e+00 1.709784e+00 1.665386e-01 [91] 9.441003e-01 5.380519e-01 7.062793e-01 1.241102e-01 1.324048e+00 [96] 8.335181e-02 1.572232e-02 6.419421e-01 1.414420e+00 1.528523e+00 [101] 1.180943e-01 1.000234e+00 2.543056e-01 5.945615e-01 9.730219e-01 [106] 1.873486e-01 4.156570e-02 1.259608e+00 1.975771e-01 6.514093e-01 [111] 2.618119e-01 5.137553e-01 1.785983e-02 2.636675e-01 1.164080e-01 [116] 1.232768e+00 1.588433e-02 7.043861e-01 6.026922e-02 8.337199e-01 [121] 3.931022e-01 3.773188e-01 6.806305e-01 3.874630e-01 1.803016e-01 [126] 1.842456e-01 1.421690e+00 6.657688e-01 3.887003e-01 4.133176e-01 [131] 5.365203e-03 7.915928e-01 9.625060e-01 3.448462e-02 5.921503e-01 [136] 2.601381e-02 3.136757e-01 6.149598e-01 3.378469e-02 1.098217e+00 [141] 3.798147e-01 9.745767e-02 4.442626e-01 1.707359e-01 2.100431e-01 [146] 1.548024e-01 8.188926e-01 2.385925e-02 2.124393e-01 5.511489e-01 [151] 1.907680e-01 3.052063e-02 5.987320e-02 2.709328e-01 4.545691e-01 [156] 3.134382e-02 9.370275e-02 6.483768e-01 3.047274e-01 3.668824e-02 [161] 8.912741e-01 5.720961e-01 4.814086e-02 1.529037e+00 3.601417e-02 [166] 6.691883e-02 6.753093e-02 4.162726e-01 4.410410e-01 1.351407e-01 [171] 3.316635e-02 1.826609e-01 1.320291e-02 2.107473e-01 5.835345e-01 [176] 3.585589e-01 1.995349e-01 2.036063e-02 2.197291e-01 6.798113e-01 [181] 3.984826e-02 4.326277e-01 7.701273e-01 1.101055e-02 2.301743e-01 [186] 1.136490e-01 6.511513e-02 1.222168e-01 3.157104e-02 1.118724e-01 [191] 2.536058e-01 5.554542e-01 9.044990e-02 2.992433e-01 9.818956e-01 [196] 8.609972e-02 4.156535e-01 1.547000e-02 2.254273e-01 1.591971e-01 [201] 2.082737e-01 2.041438e-01 8.542824e-02 2.571175e-01 2.890932e-01 [206] 5.313026e-02 3.881331e-01 1.930751e-01 7.693955e-01 1.714602e-01 [211] 4.219004e-01 4.710552e-01 4.006640e-01 4.095118e-01 3.588862e-01 [216] 1.100270e+00 4.227293e-02 3.645394e-01 1.815921e-01 2.625607e-01 [221] 9.730852e-01 1.252406e-01 1.655010e-01 3.187164e-01 2.183165e-01 [226] 5.684346e-01 2.512537e-01 6.897964e-02 1.498067e-01 2.283074e-01 [231] 8.007254e-02 4.741213e-02 1.720004e-01 7.027845e-01 4.084289e-03 [236] 7.368503e-01 7.299508e-02 4.975446e-02 7.291376e-02 5.817534e-02 [241] 2.018431e-02 5.315775e-03 1.243797e-01 4.463843e-01 1.003461e-01 [246] 5.520167e-02 1.364194e-01 1.827361e-02 6.788794e-01 9.916510e-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/3v60k1227713515.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/1iczu1227713515.ps tmp/1iczu1227713515.png") > system("convert tmp/2kxn51227713515.ps tmp/2kxn51227713515.png") > system("convert tmp/3v60k1227713515.ps tmp/3v60k1227713515.png") > > > proc.time() user system elapsed 0.817 0.577 1.056