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/1y2kf1228136220.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 -3 -2 -1 0 1 2 1 2 1 2 1 0 1 0 -1 0 1 2 3 2 [26] 1 0 1 2 1 2 1 2 3 2 1 2 3 4 3 4 3 4 5 6 7 8 7 6 5 [51] 4 5 6 5 4 5 4 5 6 5 4 3 4 3 2 3 4 3 4 5 6 5 4 5 4 [76] 5 6 5 4 3 4 3 4 5 4 3 2 3 2 3 2 1 2 1 0 -1 0 1 0 1 [101] 2 3 2 3 4 3 4 5 4 5 6 7 8 9 10 11 12 13 14 13 14 13 14 13 14 [126] 15 14 13 14 13 12 13 12 11 12 11 10 9 10 11 10 9 8 7 6 7 8 9 8 7 [151] 6 5 4 3 2 3 4 3 2 3 4 5 4 5 4 3 2 3 4 5 4 3 4 5 6 [176] 5 4 3 2 3 2 1 2 1 0 -1 0 1 2 3 2 1 2 1 2 3 4 5 4 5 [201] 4 5 4 5 6 5 6 7 8 9 10 9 8 7 6 7 6 7 6 7 8 9 10 9 8 [226] 9 10 9 8 7 6 7 6 7 8 9 8 9 10 11 10 11 10 11 10 9 10 11 10 11 [251] 10 11 10 11 10 11 10 9 8 9 8 9 10 11 12 11 10 11 12 11 10 9 10 9 8 [276] 7 8 9 10 9 8 9 8 9 8 9 10 11 10 9 10 11 10 11 10 9 8 9 8 9 [301] 8 9 10 9 10 9 8 7 8 7 8 9 10 11 10 11 10 11 10 9 10 11 10 9 8 [326] 7 8 9 10 9 10 11 12 11 12 11 12 11 12 11 12 13 12 11 10 11 10 11 10 11 [351] 10 9 8 9 8 9 8 7 8 7 6 5 6 7 8 9 8 9 8 7 8 7 8 9 10 [376] 9 8 9 8 7 6 5 6 5 4 3 4 3 4 5 4 3 4 3 2 3 2 3 4 5 [401] 4 3 4 5 4 3 4 5 4 5 6 5 4 3 2 3 4 3 2 3 2 3 4 3 2 [426] 3 4 3 2 3 4 3 4 3 4 5 4 3 2 1 0 1 0 1 0 -1 -2 -1 -2 -1 [451] -2 -1 0 -1 0 -1 -2 -3 -4 -3 -2 -3 -2 -1 0 1 0 -1 0 -1 0 1 2 1 0 [476] -1 -2 -1 0 -1 0 -1 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -4 -3 -4 -3 -4 -5 -6 -5 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ccwq1228136220.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] 1.410394e+03 4.884014e+02 6.934002e+01 4.877515e+02 3.023931e+02 [6] 5.299888e+01 2.863680e+02 9.199416e+01 1.364378e+01 5.685347e+01 [11] 4.105159e+01 8.264891e+01 1.474330e+01 1.675726e+01 3.479898e+01 [16] 8.428528e+00 3.067565e+01 6.960085e+00 1.702208e-01 1.339144e+01 [21] 1.331907e+01 2.796347e+00 1.369748e+00 3.111055e+00 2.381885e+00 [26] 2.998234e+00 4.344018e+00 2.002679e+00 1.389876e+00 1.092038e+00 [31] 2.960782e+00 4.002896e+00 2.381425e+01 2.917316e+00 1.198219e+00 [36] 2.783846e+00 5.114494e+00 4.211123e+00 8.496835e+00 2.975431e+00 [41] 3.906031e-01 6.090143e+00 4.073594e+00 4.047566e+00 2.888805e+00 [46] 2.572873e+00 1.292116e+00 1.733996e+00 3.114597e+00 1.837570e-01 [51] 9.550473e-01 4.824635e-01 2.666218e+00 2.847469e-01 1.167059e+00 [56] 1.025432e+00 6.879184e+00 3.143837e+00 2.037465e-01 8.835844e-01 [61] 2.602045e-01 3.270270e+00 5.464956e-01 3.244911e+00 3.837542e-01 [66] 4.633899e-01 1.921715e+00 4.253470e-01 6.500612e+00 1.053234e+00 [71] 6.215638e-01 2.582283e+00 1.605556e+00 1.386332e+00 6.180887e-01 [76] 1.227732e+00 1.445848e+00 2.185450e-01 8.489352e-01 8.295061e-01 [81] 2.051058e+00 1.090977e+00 8.563321e-01 2.711707e-01 1.710229e+00 [86] 1.797823e+00 4.016705e-01 8.699766e-02 6.018422e-01 4.976975e-01 [91] 1.193858e+00 7.333732e-02 9.606804e-01 5.599085e-01 8.697700e-01 [96] 5.026366e-02 7.355943e-02 9.253021e-01 1.299618e-01 1.032797e+00 [101] 2.488433e-01 9.365022e-01 4.642882e-01 1.537928e+00 2.417173e+00 [106] 5.627058e-01 1.206750e+00 5.199864e-01 4.659901e-01 1.643353e-01 [111] 2.511875e+00 3.280366e-01 4.834483e-01 1.016451e-02 1.616753e+00 [116] 1.324678e+00 1.065194e+00 4.508293e-01 6.391356e-01 4.911299e-01 [121] 1.996192e-01 1.118696e+00 5.097498e-01 1.592067e-01 2.188971e-01 [126] 5.134029e-01 2.588869e-01 1.914051e-01 1.279587e-01 3.153597e-02 [131] 5.256365e-02 6.629469e-01 4.987374e-01 2.212340e-01 1.751375e-01 [136] 9.250518e-01 4.291670e-02 1.312934e+00 4.395309e-02 7.001243e-02 [141] 5.409756e-01 4.803910e-01 5.982327e-01 1.282254e+00 1.058446e+00 [146] 4.815337e-01 9.790138e-01 3.107655e-01 3.542785e-01 2.158637e-01 [151] 5.475425e-02 6.166397e-01 7.248964e-01 1.826443e-01 9.379990e-02 [156] 4.835503e-02 3.056212e-01 3.755887e-01 1.668168e-02 4.631684e-02 [161] 9.960796e-02 1.240551e+00 9.173263e-01 3.136598e-01 1.479442e+00 [166] 7.637480e-02 2.084681e-01 3.227625e-01 5.868427e-01 4.644930e-03 [171] 5.217810e-02 2.540888e-01 2.115054e-02 8.618759e-02 1.890938e-01 [176] 3.152165e-01 1.233827e-01 1.728325e-01 1.188306e-01 2.473065e-02 [181] 4.944872e-01 1.517335e-01 4.012128e-02 1.422176e+00 5.090445e-02 [186] 2.935990e-02 2.842201e-01 5.611569e-01 5.077288e-03 7.230379e-01 [191] 1.854320e-02 5.140268e-02 7.171826e-02 5.803308e-01 6.166754e-02 [196] 4.415683e-02 3.428430e-02 1.761382e-01 2.307748e-01 2.836646e-01 [201] 2.867286e-01 1.064382e+00 2.534535e-01 1.666799e-02 3.689512e-01 [206] 1.373463e-02 2.502613e-01 8.386213e-02 6.754004e-02 2.517400e-01 [211] 5.288390e-01 1.310118e-01 1.482061e-01 7.140555e-01 2.003796e-01 [216] 9.359275e-02 1.455652e-01 1.664406e-01 9.432712e-01 6.197520e-01 [221] 1.794545e-01 1.681304e-01 6.929542e-01 1.087150e-01 1.029864e-01 [226] 3.754533e-01 2.268599e-02 1.815644e-01 2.866845e-01 4.343591e-01 [231] 6.362911e-01 8.886256e-03 6.966216e-01 6.196739e-01 4.530418e-01 [236] 9.677263e-02 4.290016e-01 9.215309e-02 5.854744e-02 1.303660e+00 [241] 9.227494e-02 1.827363e-01 5.356486e-01 2.158758e-01 6.793625e-02 [246] 2.496900e-02 3.026937e-01 3.101305e-01 6.515527e-01 3.842476e-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/32cf01228136220.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/1y2kf1228136220.ps tmp/1y2kf1228136220.png") > system("convert tmp/2ccwq1228136220.ps tmp/2ccwq1228136220.png") > system("convert tmp/32cf01228136220.ps tmp/32cf01228136220.png") > > > proc.time() user system elapsed 0.831 0.625 1.012