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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/1ly1c1228152409.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 5 4 5 6 5 6 7 8 9 10 11 10 9 10 11 10 9 8 [26] 7 8 7 8 9 8 7 8 7 8 9 10 11 10 9 8 9 8 7 6 7 8 9 8 9 [51] 8 9 10 11 10 11 10 9 10 11 10 11 10 9 10 9 8 7 6 7 8 7 8 9 8 [76] 7 8 9 8 9 10 11 12 11 10 9 10 11 12 13 14 13 14 13 14 13 14 15 16 17 [101] 18 19 18 17 18 17 16 17 18 19 18 17 16 15 16 17 16 15 16 17 16 15 14 15 16 [126] 17 16 15 16 17 16 17 16 17 16 17 16 17 18 17 16 15 16 17 18 19 20 19 20 21 [151] 22 23 24 23 22 23 24 23 24 23 22 23 22 21 22 23 22 23 24 25 24 23 24 23 24 [176] 25 26 27 26 25 24 23 24 25 26 25 24 25 26 25 26 27 28 29 30 29 28 29 28 29 [201] 30 29 30 31 32 31 30 31 32 33 34 35 34 35 34 33 34 33 32 33 34 33 34 33 32 [226] 31 30 29 28 27 26 27 28 27 26 27 28 29 30 31 30 29 28 29 28 29 28 27 26 27 [251] 26 27 28 29 30 31 30 31 30 31 32 33 32 33 32 33 32 33 32 31 32 31 30 29 28 [276] 29 30 29 28 29 28 29 30 29 30 29 30 29 30 29 28 27 28 27 28 29 28 27 26 27 [301] 28 29 30 31 32 33 32 31 30 31 30 29 30 29 30 31 32 33 32 33 32 33 34 33 34 [326] 33 32 31 30 31 32 33 34 35 34 35 36 35 34 33 32 31 32 31 32 31 32 31 30 31 [351] 30 31 30 31 32 33 32 33 34 33 34 33 34 33 32 31 32 31 30 31 32 33 32 33 32 [376] 33 34 35 36 35 36 35 36 35 36 35 36 35 36 35 34 35 34 35 34 33 34 35 34 33 [401] 34 33 34 35 34 33 34 35 36 35 34 33 34 35 36 35 36 35 36 35 36 35 36 37 38 [426] 37 36 37 38 39 38 39 38 39 40 39 40 41 40 41 42 43 44 43 42 43 44 45 44 43 [451] 42 41 42 41 40 41 42 41 40 39 38 37 36 37 36 37 36 35 36 37 38 37 36 35 34 [476] 35 34 33 32 33 32 33 32 31 30 31 32 31 30 29 30 31 32 33 32 31 30 31 30 31 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2mb7f1228152409.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] 1.321182e+03 8.512032e+02 3.770808e+01 6.393029e+01 1.086132e+02 [6] 1.359724e+02 2.648006e+01 7.013854e+01 3.467288e+02 5.529257e+01 [11] 6.866873e+00 4.906772e+00 2.428225e+01 4.849873e+00 4.147078e+00 [16] 2.649788e-02 1.862494e+01 5.172345e+00 8.334622e+00 8.231532e+00 [21] 1.146952e+01 6.177815e+01 5.523203e+00 9.421089e+00 1.238298e+01 [26] 4.835807e+00 1.053461e+01 1.661207e+00 2.141328e+00 1.066415e+01 [31] 2.603020e+00 1.335901e+01 3.798029e+00 4.612887e-01 2.337942e+00 [36] 5.238169e+00 9.683510e+00 1.706617e-01 3.006754e+00 3.849233e-01 [41] 1.791018e+00 5.083599e-01 4.429255e-01 6.968058e-01 3.354704e+00 [46] 3.713626e-01 1.316006e+00 3.316704e-01 7.597811e+00 1.237242e-01 [51] 2.013688e+00 1.764535e+00 4.840435e+00 8.474910e+00 3.191261e-01 [56] 8.113551e-01 6.784610e+00 3.327643e+00 5.237025e+00 7.762557e-01 [61] 9.030867e-01 9.247150e-01 2.633492e-01 2.373272e+00 4.368255e+00 [66] 1.535575e-02 3.037960e-01 2.955111e-01 1.806442e+00 1.462648e+00 [71] 1.340154e+00 3.272453e+00 7.631573e-01 4.424326e-01 1.792678e+00 [76] 1.535262e+00 4.383379e-01 5.754164e-01 7.906002e-01 1.030239e+00 [81] 1.830614e+00 6.840317e-02 2.138354e+00 2.435496e-01 7.237631e-01 [86] 1.143102e+00 4.198039e-03 4.746175e-01 3.641127e+00 1.827156e+00 [91] 1.944796e+00 1.197961e+00 1.323370e+00 4.528177e-01 1.487811e+00 [96] 3.974055e-01 1.771700e+00 8.100580e-01 1.163107e+00 9.531218e-03 [101] 4.387442e-01 2.101942e+00 5.689826e-01 3.451630e-01 8.273709e-01 [106] 1.046949e-01 8.455895e-01 1.098972e+00 5.797021e-01 9.660500e-01 [111] 8.218028e-01 2.441538e-01 1.372759e-01 1.020445e+00 9.797227e-02 [116] 1.882499e-01 2.989105e-03 5.313812e-02 3.130128e-01 3.247888e-01 [121] 3.391539e-01 1.095506e-01 5.407261e-01 9.714788e-02 7.743937e-01 [126] 8.205778e-01 5.655099e-01 1.482292e-01 3.551206e-01 3.251298e-01 [131] 1.167026e-01 7.631193e-01 2.002895e-01 4.929292e-01 1.805980e-02 [136] 4.837030e-02 9.418293e-02 2.523933e-01 4.946997e-02 1.529183e-02 [141] 6.462844e-01 2.848596e-01 1.706406e-02 9.648086e-01 7.200399e-01 [146] 2.154875e-01 7.275933e-01 9.520030e-02 4.815762e-01 4.972826e-01 [151] 2.243015e-01 4.599524e-01 1.087132e+00 2.161564e-01 5.814144e-01 [156] 3.716139e-01 4.203974e-01 1.069675e+00 7.941134e-02 2.870404e-02 [161] 3.531416e-01 2.099222e-01 6.442689e-02 4.398251e-01 1.195203e+00 [166] 8.002473e-01 1.111429e-01 2.439209e-01 7.941185e-02 6.993707e-01 [171] 4.829857e-01 6.352072e-02 4.511566e-01 3.381517e-01 4.520093e-03 [176] 8.301100e-02 7.573117e-01 1.892072e-01 1.400870e-01 9.928753e-02 [181] 5.417568e-02 1.376778e-01 4.531351e-01 1.064955e+00 1.362350e-02 [186] 3.092722e-01 1.862669e-01 8.450748e-02 5.133451e-01 9.557713e-02 [191] 8.429035e-02 2.563692e-01 2.302040e-01 2.678672e-01 1.107354e-02 [196] 7.906863e-01 1.797098e-02 8.434396e-02 1.298975e-01 3.482846e-01 [201] 9.516714e-02 6.749895e-01 2.033080e-02 5.971298e-01 3.130118e-01 [206] 1.483460e-01 5.611889e-02 1.960886e-03 2.763187e-01 4.130701e-02 [211] 4.196473e-02 6.088857e-02 7.043407e-02 1.542828e-01 3.515829e-01 [216] 7.816260e-04 6.203928e-02 5.772315e-01 1.984630e-01 2.163753e-01 [221] 1.909965e-01 1.012806e+00 1.649340e+00 6.327178e-01 2.886379e-01 [226] 2.150875e-01 2.524624e-01 3.193368e-01 2.582602e-01 2.763473e-01 [231] 2.295512e-01 4.162871e-01 3.380114e-01 1.652863e-01 3.879402e-01 [236] 7.295676e-02 5.285683e-01 1.004939e-01 3.375872e-01 1.519761e-01 [241] 4.346487e-02 9.173082e-01 4.923235e-01 5.814621e-02 1.071167e+00 [246] 1.089132e-01 6.335817e-02 6.069513e-01 1.834482e-01 9.192873e-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/350ht1228152409.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/1ly1c1228152409.ps tmp/1ly1c1228152409.png") > system("convert tmp/2mb7f1228152409.ps tmp/2mb7f1228152409.png") > system("convert tmp/350ht1228152409.ps tmp/350ht1228152409.png") > > > proc.time() user system elapsed 0.814 0.595 1.093