R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. 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/1cfe81228151461.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 0 1 2 1 0 1 2 1 0 -1 0 -1 0 1 2 1 2 3 4 3 4 [26] 3 4 5 4 5 4 5 4 3 4 3 2 1 0 -1 0 1 2 1 2 3 4 5 4 3 [51] 4 3 2 3 4 3 2 3 4 5 4 5 4 3 4 5 6 5 4 5 4 5 4 5 4 [76] 3 2 1 0 -1 0 -1 0 1 2 3 4 5 6 7 6 5 6 7 8 9 10 9 8 7 [101] 6 7 8 9 8 7 6 5 4 5 4 3 4 3 2 1 2 3 2 3 4 5 6 7 8 [126] 7 6 7 8 7 8 9 10 9 8 7 8 7 8 7 8 7 8 7 8 9 8 7 6 7 [151] 8 7 6 5 6 5 6 5 6 5 4 5 6 5 4 5 6 7 6 7 8 7 8 7 8 [176] 9 8 9 8 7 6 5 4 3 2 1 2 3 2 1 0 1 0 -1 -2 -3 -2 -3 -4 -5 [201] -4 -3 -2 -3 -2 -3 -2 -1 -2 -3 -2 -1 -2 -1 0 1 2 1 2 1 2 3 4 5 4 [226] 5 6 5 6 5 4 3 4 5 4 3 4 5 4 5 4 3 2 3 2 1 2 3 2 3 [251] 4 3 4 5 4 5 6 7 8 9 8 9 10 11 12 11 10 9 10 9 10 9 10 11 10 [276] 11 10 11 10 9 10 9 10 9 10 9 10 9 10 9 10 11 12 11 10 9 8 7 6 7 [301] 8 9 10 9 10 11 10 9 10 9 8 9 8 7 8 7 6 5 4 5 6 5 6 7 8 [326] 7 8 9 10 11 12 13 12 11 10 9 8 9 8 7 6 7 6 7 8 9 10 9 10 11 [351] 12 13 14 13 14 13 14 15 16 17 16 17 16 15 14 13 14 15 14 13 12 11 10 9 8 [376] 7 8 7 6 5 6 5 4 3 2 1 0 1 0 1 0 1 0 1 2 3 2 3 2 3 [401] 2 1 2 1 0 1 0 -1 0 1 2 3 4 3 2 3 4 3 2 3 4 5 4 3 4 [426] 5 6 5 4 3 4 5 6 7 8 9 8 9 10 11 12 11 10 11 12 13 12 13 14 13 [451] 12 13 14 13 12 13 12 11 12 11 10 11 10 11 10 11 10 9 10 11 10 9 10 9 8 [476] 9 10 9 10 11 12 11 12 13 14 13 12 11 10 11 10 9 8 7 8 7 6 7 8 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/26wbw1228151461.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] 5.597490e-01 5.595285e+02 9.062544e+02 7.695150e+01 7.609167e+02 [6] 2.298957e+02 2.024287e+02 7.178497e+01 1.277917e+01 1.947853e+01 [11] 2.420665e+02 6.375635e+01 1.774787e+02 1.926372e+00 7.320940e+01 [16] 5.394584e+00 4.052990e+01 3.462490e+00 3.099110e+01 9.269003e+00 [21] 1.339876e+01 1.875761e+01 3.768368e+01 3.985215e+00 1.304557e+01 [26] 2.730555e+00 7.685357e+00 1.966632e+00 1.880565e+01 2.103309e+00 [31] 2.514358e+00 3.711356e-01 2.623979e+00 8.519657e+00 4.022113e+00 [36] 5.267333e-01 8.434869e+00 5.127754e+00 5.971770e+00 5.486754e-01 [41] 3.984269e+00 2.434288e+00 3.494130e+00 6.757155e-01 2.466875e+00 [46] 3.420463e+00 5.033533e-01 9.415126e-02 9.848789e-01 1.062006e+00 [51] 2.215726e+00 2.608099e+00 8.322119e+00 1.644584e-01 4.241169e+00 [56] 1.250100e+00 3.855798e-01 7.513243e-01 8.485782e-01 4.329817e-01 [61] 1.617069e-02 8.071656e-01 3.483524e-01 6.056522e-01 7.222206e-02 [66] 2.048359e+00 1.700406e+00 7.156971e+00 4.550342e-01 2.767408e+00 [71] 2.446948e+00 7.286512e-01 2.912633e-01 1.333375e+00 1.068873e-02 [76] 2.369163e-01 1.654928e-01 1.971658e+00 1.223108e+00 1.387806e+00 [81] 6.488112e-01 9.381991e-02 2.951383e+00 8.719991e-01 7.182817e-01 [86] 2.207073e-01 4.023236e-01 6.677584e-01 1.188591e-01 2.549518e-01 [91] 8.937939e-02 8.113122e-01 4.660894e-01 6.594571e-01 1.305389e-01 [96] 1.625477e+00 1.088663e+00 9.152200e-01 6.647190e-01 1.019054e+00 [101] 9.265723e-01 2.332753e-01 5.463580e-01 1.615119e+00 4.622688e-01 [106] 1.256015e+00 8.504478e-01 1.279555e-01 1.126865e+00 3.852630e-03 [111] 9.733128e-01 1.839418e+00 4.883643e-01 7.230468e-01 6.011263e-01 [116] 2.104727e-01 7.976159e-01 2.084295e-01 4.394445e-01 6.019676e-01 [121] 5.956114e-01 7.630097e-01 1.259246e-01 6.182857e-01 6.025108e-02 [126] 2.734415e-01 2.096216e-01 1.805874e+00 1.043231e-01 5.835841e-01 [131] 3.809691e-01 6.995370e-02 7.197706e-01 8.275069e-01 6.069605e-01 [136] 6.419927e-02 3.706607e-01 6.704962e-01 9.990966e-01 9.881732e-01 [141] 5.795514e-01 1.501159e+00 3.303340e-01 1.003011e+00 1.394878e-01 [146] 7.569938e-01 1.203130e-02 1.457271e-01 4.324072e-01 4.712911e-05 [151] 2.714201e-01 7.692395e-02 1.743314e+00 7.148723e-01 6.737231e-02 [156] 2.573345e-01 4.698923e-02 1.693582e-01 1.160977e-01 3.112375e-01 [161] 1.872312e-01 8.598117e-02 4.402923e-01 1.727165e-01 1.406126e-01 [166] 1.982862e-01 6.036467e-02 2.843489e-01 6.766241e-01 3.130876e-01 [171] 5.198331e-01 2.664697e-02 1.357925e-01 3.571193e-01 5.889694e-04 [176] 4.392276e-02 1.299236e-01 4.302967e-02 1.297317e-02 5.149467e-01 [181] 2.455834e-01 5.472439e-02 3.032864e-02 4.611793e-01 5.695058e-01 [186] 2.123027e-01 4.197803e-01 3.610615e-01 6.767623e-01 4.156664e-02 [191] 1.596810e-01 1.881142e-01 1.718794e-01 4.773225e-02 4.041788e-03 [196] 4.250564e-01 2.255781e-01 5.538521e-01 1.714935e-02 1.624587e-01 [201] 1.402196e-02 1.998118e-01 6.418809e-01 4.863161e-01 1.102899e-01 [206] 3.837990e-02 2.599089e-01 1.885848e-01 1.576606e-01 3.160469e-01 [211] 1.270316e-01 1.258449e-01 2.173519e-01 3.675829e-02 5.489494e-01 [216] 2.301330e-01 8.928464e-01 5.992657e-01 3.456965e-01 3.023362e-01 [221] 2.625759e-01 4.389876e-02 4.997625e-01 3.863631e-01 1.475694e-02 [226] 4.722338e-01 3.017210e-01 5.021540e-01 2.418724e-01 3.025566e-01 [231] 2.224264e-01 1.484024e-01 5.724942e-01 4.791214e-01 2.168648e-01 [236] 5.789462e-02 6.919541e-02 5.843447e-02 2.120661e-01 7.818494e-02 [241] 4.955473e-01 1.545495e-01 8.255255e-01 2.376386e-01 6.994429e-02 [246] 1.576472e-01 4.545710e-01 2.372997e-02 4.494729e-01 1.943400e-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/3qkcl1228151461.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/1cfe81228151461.ps tmp/1cfe81228151461.png") > system("convert tmp/26wbw1228151461.ps tmp/26wbw1228151461.png") > system("convert tmp/3qkcl1228151461.ps tmp/3qkcl1228151461.png") > > > proc.time() user system elapsed 0.831 0.611 1.012