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/141gz1228149474.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 0 -1 -2 -3 -2 -3 -4 -5 -4 -3 -4 -5 -6 -5 -4 [26] -5 -6 -7 -6 -7 -8 -7 -6 -5 -6 -7 -6 -7 -6 -7 -6 -5 -6 -5 -6 -5 -4 -3 -2 -3 [51] -2 -1 0 1 2 1 0 1 0 1 0 -1 0 -1 0 1 2 3 2 3 2 1 0 -1 0 [76] -1 0 -1 0 1 2 1 2 1 0 1 2 1 0 -1 0 1 0 1 0 1 2 1 0 -1 [101] -2 -1 -2 -1 -2 -1 0 1 0 -1 -2 -3 -2 -3 -2 -3 -2 -3 -2 -1 0 1 0 1 0 [126] 1 0 1 2 1 2 3 4 5 4 3 2 1 0 -1 -2 -1 -2 -1 0 1 0 1 0 1 [151] 2 3 4 3 4 3 4 5 4 5 6 5 6 7 8 9 10 9 10 11 10 11 10 11 12 [176] 13 14 13 14 13 12 13 12 13 12 13 12 13 12 13 12 11 10 9 8 9 10 9 10 11 [201] 12 11 12 13 14 13 14 15 16 15 16 15 14 15 14 15 16 15 16 15 14 15 14 15 14 [226] 13 14 15 16 17 18 17 16 15 16 15 16 17 16 17 16 15 16 15 16 15 14 13 12 13 [251] 14 13 12 13 14 15 16 17 16 15 16 15 16 15 16 15 16 15 14 15 14 15 14 13 14 [276] 15 14 13 12 11 12 13 14 15 14 15 16 17 18 19 20 21 22 23 22 23 22 21 22 21 [301] 20 21 20 19 20 21 20 21 22 21 22 21 22 21 20 19 20 19 20 21 22 21 20 21 20 [326] 21 22 21 20 21 20 21 20 21 22 23 24 25 26 27 26 27 26 25 26 25 24 25 24 25 [351] 26 25 26 27 26 25 24 23 24 25 26 25 26 27 28 27 26 27 28 29 30 31 32 31 30 [376] 31 32 33 34 33 34 33 32 31 32 31 32 31 32 31 30 31 30 31 30 29 28 27 26 27 [401] 28 27 28 29 30 29 28 27 28 29 28 27 28 27 28 29 30 29 28 29 28 27 28 29 30 [426] 29 28 29 28 27 28 27 26 27 26 25 24 25 24 23 22 23 24 25 24 25 24 25 26 27 [451] 28 27 28 27 28 27 28 27 26 25 24 25 24 23 24 23 22 23 24 25 24 23 24 23 22 [476] 21 22 21 20 21 20 19 20 19 20 19 20 21 20 21 22 21 20 19 18 17 16 17 18 17 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2p97u1228149474.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] 1.403557e+03 6.570142e+01 1.071513e+03 6.063133e+00 1.895499e+02 [6] 4.698923e+01 7.745428e+01 8.954340e+01 6.413648e+01 1.146847e+01 [11] 4.584792e+00 1.855810e+02 3.731371e+01 6.650059e+01 5.195626e+00 [16] 6.238943e+00 5.510346e+00 4.742808e+01 5.373539e+01 3.986011e+00 [21] 1.214845e+00 1.181722e+01 4.000330e+00 8.249317e-01 1.393257e+01 [26] 2.908639e+00 7.334379e-01 2.736416e+00 8.674846e+00 6.579499e+00 [31] 1.321980e+01 2.580081e+00 1.762907e+00 5.379524e-01 4.607211e+00 [36] 2.053744e+00 3.208314e+01 1.247215e+00 5.644085e+00 4.171020e+00 [41] 3.558491e+00 1.194827e+00 1.401057e-01 7.833551e-01 9.352096e-01 [46] 1.071882e+01 7.104802e-01 1.535483e+00 3.909573e+00 9.927652e-02 [51] 3.324664e-01 1.764261e-01 3.785305e+00 1.342407e+00 5.564342e-01 [56] 4.301466e+00 2.376820e+00 8.196174e-01 4.657303e-01 5.052603e-01 [61] 1.185247e+00 1.823605e+00 2.077639e-01 2.759711e+00 9.809414e-02 [66] 2.389373e+00 4.195502e-01 1.217152e+00 2.763440e-02 1.738617e-01 [71] 3.195784e-01 7.121201e-01 3.116560e+00 1.437781e+00 4.262223e-01 [76] 6.858512e-01 6.672485e+00 1.352043e+00 2.098050e-02 6.969043e-01 [81] 1.923833e+00 4.753880e-01 2.999262e-01 5.727195e-01 9.384244e-02 [86] 4.599126e-02 1.845116e-01 1.407271e+00 3.121053e-01 8.693020e-01 [91] 1.832058e+00 7.160177e-01 1.341254e-02 1.795446e+00 7.961492e-01 [96] 9.236528e-03 6.551306e-01 4.116303e-01 5.603642e-02 1.845375e-01 [101] 1.930439e+00 4.679611e-01 5.348299e-01 5.365058e-02 3.302679e-01 [106] 7.590883e-01 4.779284e-01 2.550979e-01 8.562670e-01 3.485810e-01 [111] 3.197766e-01 2.548268e-02 4.606628e-01 1.402313e-01 2.006905e-01 [116] 2.865443e-01 3.961843e-02 1.483530e-01 8.095638e-01 6.954146e-01 [121] 3.379311e-01 2.365780e-03 5.601931e-01 3.629243e-01 3.196112e-01 [126] 1.969421e-01 3.737117e-01 7.880221e-01 3.042934e-01 4.454532e-01 [131] 2.769025e-01 8.676444e-01 9.298097e-02 1.017394e+00 8.832638e-01 [136] 1.763303e-01 1.602410e-01 5.641842e-01 1.002816e-01 3.269015e-02 [141] 6.449993e-01 2.190996e-02 1.324520e-01 4.015867e-01 6.608920e-01 [146] 5.340546e-01 3.051568e-01 6.655509e-02 1.627402e-02 2.753870e-01 [151] 2.054239e-02 2.489695e-02 2.251360e-01 7.611034e-04 3.065354e-01 [156] 4.315673e-01 3.539989e-03 7.384759e-02 1.072443e-01 2.359899e-01 [161] 4.462620e-02 1.176130e+00 8.562147e-01 2.701159e-01 2.255973e-01 [166] 7.485121e-01 3.663329e-01 3.593955e-01 6.770369e-01 5.130444e-01 [171] 3.317600e-01 1.277777e-01 3.423824e-03 2.939340e-01 3.401617e-01 [176] 1.348897e-01 3.490175e-02 1.735740e-01 8.157991e-01 4.481548e-02 [181] 3.054918e-01 8.168759e-02 1.366917e-02 7.731585e-01 2.980510e-01 [186] 1.869722e-01 1.018073e+00 8.597656e-01 9.325875e-01 1.654616e-01 [191] 9.550170e-01 2.739560e-01 8.231773e-01 9.339401e-01 7.930432e-01 [196] 8.341234e-02 2.351838e-01 5.709909e-02 1.101264e-01 7.937893e-02 [201] 2.373980e-01 7.616529e-02 9.983468e-02 1.848119e-02 8.764110e-01 [206] 7.781120e-01 8.823311e-02 3.908848e-01 2.280947e-03 1.228386e+00 [211] 7.228928e-01 6.429665e-01 2.954289e-01 6.348154e-01 3.988612e-02 [216] 4.449082e-02 1.453066e-01 1.229501e-03 6.368217e-01 6.638097e-01 [221] 3.303153e-01 2.956386e-01 1.844848e-01 1.575511e-01 3.836792e-01 [226] 7.538351e-01 1.642601e-02 9.328093e-01 1.709450e-01 7.367675e-01 [231] 5.806621e-02 1.278224e-01 4.000935e-01 3.455027e-01 2.125745e-01 [236] 3.095351e-01 7.908538e-01 6.665136e-01 2.869691e-01 1.000837e+00 [241] 2.653048e-01 2.733762e-02 9.987347e-02 2.169649e-01 7.460991e-02 [246] 9.860023e-02 3.234599e-01 5.561587e-02 9.363899e-02 3.822644e-02 $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/3ytkm1228149474.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/141gz1228149474.ps tmp/141gz1228149474.png") > system("convert tmp/2p97u1228149474.ps tmp/2p97u1228149474.png") > system("convert tmp/3ytkm1228149474.ps tmp/3ytkm1228149474.png") > > > proc.time() user system elapsed 0.823 0.603 0.950