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/1rpbb1228173166.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 0 1 0 1 2 1 2 3 2 3 2 1 0 1 0 [26] 1 2 3 2 1 2 1 0 1 0 -1 0 1 0 1 2 3 4 5 4 3 4 3 4 5 [51] 4 3 2 1 2 3 4 3 2 1 2 3 4 5 4 5 4 5 4 3 4 5 6 5 4 [76] 3 4 3 4 5 6 7 6 5 6 5 4 5 6 7 8 7 8 7 6 5 4 3 4 5 [101] 6 5 4 3 2 3 2 3 4 3 4 3 4 5 4 3 2 1 2 3 4 5 4 3 4 [126] 5 6 5 6 7 6 7 8 9 10 9 8 7 8 7 6 7 6 7 8 9 10 9 10 11 [151] 10 11 10 11 12 13 14 15 16 17 16 15 14 13 12 13 12 13 12 13 12 11 12 11 10 [176] 11 10 11 10 11 12 13 12 13 12 13 12 13 14 15 14 15 16 17 16 15 16 17 16 17 [201] 18 17 18 19 20 21 22 21 20 19 18 19 18 19 18 19 20 19 20 19 18 17 16 17 16 [226] 15 16 17 16 17 16 17 18 19 18 17 18 19 18 19 20 21 22 23 22 21 20 21 20 19 [251] 18 19 18 19 18 19 20 21 22 21 20 19 18 17 16 15 16 15 14 15 14 15 16 15 14 [276] 13 14 13 14 13 12 11 12 11 10 11 12 13 12 13 14 15 14 15 14 13 14 15 16 17 [301] 18 17 18 17 18 19 18 19 18 19 20 19 20 21 22 23 24 23 24 23 22 21 20 19 18 [326] 17 18 17 18 19 20 19 18 19 20 19 20 21 22 21 20 21 22 21 20 19 20 19 18 19 [351] 18 19 20 19 20 21 20 21 22 23 22 23 22 21 20 19 20 19 20 19 20 21 22 21 22 [376] 21 22 21 22 23 24 23 22 21 22 21 22 23 22 21 20 21 22 23 24 25 26 27 26 25 [401] 26 27 26 27 26 27 26 27 26 27 28 29 30 31 30 29 30 31 32 33 32 31 30 31 32 [426] 33 34 33 32 33 32 33 32 33 32 33 34 33 32 31 32 31 32 31 32 31 30 29 28 29 [451] 28 29 30 31 32 33 34 35 36 35 36 35 34 33 32 33 34 33 34 33 32 31 30 31 32 [476] 33 32 31 30 31 30 29 30 31 32 31 30 31 30 29 30 29 28 27 26 27 26 25 26 25 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2bym31228173166.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] 5.217497e+01 9.969199e+02 1.385167e+02 2.212049e+02 1.660354e+02 [6] 1.760298e+02 1.451281e+01 2.127991e+01 1.923886e+02 9.228705e+01 [11] 8.660748e+00 2.791418e+01 4.052915e+01 1.217003e+01 5.690637e+00 [16] 1.046990e+01 1.402440e+01 2.593196e+01 3.645466e+00 1.903657e+01 [21] 2.447796e-01 1.546801e+01 8.822949e+00 3.636965e+01 2.684720e+01 [26] 1.970591e+01 5.641140e-01 4.110986e+00 2.221101e+00 6.105255e+00 [31] 1.232815e+00 3.500744e+00 5.888473e+00 8.760162e-01 2.092929e+01 [36] 1.677721e+01 8.675535e-01 1.005693e-01 7.302917e-01 9.436610e+00 [41] 2.773203e+00 1.356565e+01 2.131233e+00 6.628772e+00 3.690521e+00 [46] 8.778344e-01 1.195957e+00 7.095506e+00 8.323345e-02 1.972048e+00 [51] 3.247832e+00 4.239671e+00 2.273469e+00 1.179763e+00 1.257623e+00 [56] 2.128519e+00 1.575850e+00 6.444397e-02 3.254293e+00 4.295211e-01 [61] 3.558790e+00 7.365298e+00 1.283316e+00 4.541747e-01 3.307802e+00 [66] 4.088589e-01 5.072153e-01 4.214308e+00 2.836607e+00 1.251254e+00 [71] 5.975998e-01 1.418529e+00 4.686329e-01 1.947608e-01 2.338125e+00 [76] 1.810256e+00 3.187111e+00 4.975886e-01 2.783476e+00 2.337535e+00 [81] 7.485785e-02 7.416932e-01 1.953211e-01 1.676840e+00 6.903251e-01 [86] 2.887073e-01 4.873468e-01 6.372031e-01 3.493026e-01 2.030142e-01 [91] 1.835936e+00 3.175058e-01 6.497465e-03 5.901292e-02 1.792052e-01 [96] 5.950503e-02 1.259903e+00 4.617295e-01 1.751866e-01 3.988371e-01 [101] 1.580380e+00 8.534965e-01 1.559344e+00 5.072611e-01 6.280616e-01 [106] 1.961199e-01 3.659942e-01 2.798296e-02 4.173794e-01 1.591639e-01 [111] 3.198576e-01 2.179420e-01 2.455590e-01 4.170111e-01 3.442701e-01 [116] 1.541391e-01 9.849729e-01 1.442868e+00 3.758143e-02 1.188891e+00 [121] 7.853406e-02 2.011768e+00 2.498706e-01 5.817886e-01 2.812970e-01 [126] 4.521046e-01 1.183889e+00 4.741473e-01 3.017335e-01 2.017163e-01 [131] 1.975204e-02 6.187262e-03 2.725445e-01 3.358258e-01 1.267197e-01 [136] 2.246889e-02 5.897845e-02 2.843126e-01 5.017262e-01 6.149641e-01 [141] 1.739437e-01 1.435040e-01 2.066828e-01 2.063293e-01 2.652054e-01 [146] 1.977003e-01 3.657172e-01 6.244722e-01 3.029687e-01 6.957430e-01 [151] 6.988446e-03 4.969052e-01 4.707520e-01 4.859248e-01 7.013671e-01 [156] 1.171378e-01 3.964132e-01 1.811931e-01 1.975316e-01 4.616260e-02 [161] 6.834462e-02 1.103393e-01 5.748962e-01 3.295499e-01 2.366064e-01 [166] 3.098534e-02 3.769828e-02 2.823842e-01 1.175708e-01 4.580690e-01 [171] 1.093077e-02 2.658422e-01 3.869832e-02 4.571799e-03 2.310703e-02 [176] 5.417214e-02 6.426470e-01 1.938687e-01 1.169564e-01 5.033450e-01 [181] 2.042982e-01 1.591951e-01 3.778608e-02 1.427831e-01 1.361483e-01 [186] 2.451816e+00 6.193309e-01 1.431896e-01 4.967511e-02 8.438104e-01 [191] 2.385126e-01 2.333297e-01 1.205074e+00 1.046770e-01 1.213304e+00 [196] 3.147215e-01 2.295799e-02 4.639192e-03 2.413677e-01 3.385067e-01 [201] 1.023143e-01 6.995274e-02 1.019681e-01 9.845190e-02 2.346844e-01 [206] 1.576588e-01 2.066197e-01 3.575457e-01 2.574864e-01 4.085895e-02 [211] 4.263767e-01 7.684494e-02 2.825564e-01 3.604620e-01 3.534695e-01 [216] 7.120557e-01 1.761592e-01 2.113804e-01 3.637909e-01 1.069551e-01 [221] 1.285568e-01 1.950781e-01 5.708816e-01 1.060304e-01 7.213496e-01 [226] 4.628504e-01 2.936155e-01 7.610449e-01 3.193080e-01 2.394911e-01 [231] 4.555843e-02 9.915887e-02 8.738427e-02 5.043589e-03 1.734064e-01 [236] 3.951216e-01 4.977665e-02 2.121823e-01 1.456280e-01 1.644764e-01 [241] 7.730369e-01 5.570219e-01 4.019250e-02 5.243700e-01 3.303064e-02 [246] 4.853733e-01 1.554340e-01 1.258151e+00 3.724697e-01 1.720174e-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/33lwk1228173166.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/1rpbb1228173166.ps tmp/1rpbb1228173166.png") > system("convert tmp/2bym31228173166.ps tmp/2bym31228173166.png") > system("convert tmp/33lwk1228173166.ps tmp/33lwk1228173166.png") > > > proc.time() user system elapsed 0.860 0.641 0.986