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/1uykh1228066198.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 0 1 2 1 0 -1 0 1 2 3 4 5 6 7 8 7 8 7 8 7 8 [26] 9 8 7 6 7 8 7 6 5 6 7 6 7 6 5 6 5 4 5 6 5 6 5 6 7 [51] 8 9 10 9 10 11 10 9 10 11 12 11 10 9 8 7 6 7 8 9 10 9 8 9 10 [76] 9 8 7 8 9 8 7 8 7 8 9 8 9 8 7 6 7 6 7 8 9 10 9 10 9 [101] 8 9 8 9 10 11 10 11 10 9 8 7 8 9 8 7 6 7 8 7 6 5 4 3 2 [126] 1 0 -1 0 -1 0 1 0 1 2 1 2 1 0 -1 0 -1 -2 -3 -4 -3 -4 -3 -2 -3 [151] -2 -1 -2 -3 -4 -5 -6 -7 -6 -7 -6 -5 -4 -3 -2 -3 -4 -5 -6 -5 -6 -5 -4 -5 -6 [176] -7 -6 -7 -6 -5 -6 -5 -4 -3 -2 -3 -2 -3 -4 -3 -2 -1 -2 -1 0 1 2 3 4 3 [201] 2 1 0 1 2 3 4 3 2 3 4 3 2 1 2 1 2 3 2 3 2 3 2 3 2 [226] 1 2 1 0 -1 -2 -3 -4 -3 -2 -3 -2 -1 0 -1 -2 -1 0 1 2 3 2 3 2 1 [251] 2 1 0 -1 -2 -3 -2 -1 -2 -1 -2 -1 0 1 0 1 0 -1 0 1 2 1 0 -1 -2 [276] -3 -4 -3 -4 -5 -6 -5 -6 -5 -6 -7 -6 -5 -6 -5 -4 -3 -4 -3 -4 -5 -6 -7 -6 -5 [301] -4 -5 -4 -5 -4 -3 -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 -6 -7 -6 -5 -6 -7 -6 [326] -7 -6 -7 -6 -5 -4 -3 -4 -3 -2 -3 -2 -3 -2 -1 0 1 2 3 4 3 4 3 4 3 [351] 2 3 4 3 4 5 4 5 6 7 6 5 6 7 6 5 4 5 6 5 4 3 4 5 6 [376] 5 4 3 4 5 6 5 4 5 4 5 4 3 4 3 4 3 4 5 6 7 8 7 8 7 [401] 8 7 8 9 10 11 12 11 12 13 14 13 12 11 10 11 12 11 12 13 12 11 10 9 8 [426] 7 6 5 4 3 4 5 4 5 6 5 6 7 8 7 6 5 6 5 6 7 6 5 6 7 [451] 8 9 10 11 12 13 12 11 12 11 12 11 12 13 14 13 14 15 14 13 12 13 14 15 16 [476] 17 16 15 16 15 16 17 16 15 16 17 16 17 18 19 20 19 20 21 22 23 24 23 22 21 > x <- b > postscript(file="/var/www/html/rcomp/tmp/25wtw1228066198.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] 4.635752e+03 5.860445e+01 1.627431e+03 4.450608e+02 1.044309e+01 [6] 8.097124e+01 1.726093e+02 8.659211e+01 1.063809e+02 3.340047e+02 [11] 1.346633e-01 2.842882e+00 2.672936e+01 3.525457e+01 1.558364e+01 [16] 5.585298e+00 4.120482e+00 3.134722e+01 1.058182e+01 6.259474e+00 [21] 3.385896e+01 6.203185e+00 2.427431e+01 1.833321e+01 6.432586e-01 [26] 1.883488e+01 1.720263e+00 1.315917e+01 1.512933e+00 2.740743e+00 [31] 2.325913e+01 3.232833e+00 2.130927e+01 6.359304e-02 9.421743e+00 [36] 8.717527e-01 8.092190e+00 5.530326e+00 1.395519e+00 8.179169e+00 [41] 4.677621e+00 7.447992e-01 9.978707e+00 1.428911e+00 7.583194e+00 [46] 9.321796e+00 5.530754e+00 2.701854e+00 6.403044e-01 9.666344e-01 [51] 8.921580e-02 4.689769e-01 3.521446e+00 3.110010e+00 2.400165e+00 [56] 3.711005e-01 5.381220e+00 7.049334e-01 1.685584e+00 1.667236e+00 [61] 1.045203e-01 7.243875e-02 2.253598e+00 5.335463e-02 9.497758e-01 [66] 2.121255e-02 1.684371e+00 8.220499e-01 5.693775e+00 9.695367e-02 [71] 2.261715e+00 1.265526e+00 1.923364e+00 7.638470e-01 1.474932e+00 [76] 8.617956e-01 4.247432e+00 3.566387e-01 1.580414e-01 1.234454e+00 [81] 1.512775e+00 1.722390e+00 5.762562e-01 1.263022e-01 2.984612e-01 [86] 2.167107e+00 1.438125e-01 1.799579e+00 1.066893e-01 6.163618e-01 [91] 3.706617e-01 2.697214e+00 3.566239e-01 1.246388e+00 1.195354e+00 [96] 7.302410e-01 5.438182e-01 4.162579e-01 1.052929e+00 1.803077e+00 [101] 3.187867e-01 7.449739e-01 1.213462e+00 2.224012e+00 4.534981e-01 [106] 3.974729e-02 5.003118e-01 3.297424e-01 4.543231e-01 3.009379e-01 [111] 5.284730e-02 7.451374e-02 1.382840e+00 5.634143e-02 5.459702e-01 [116] 9.790025e-01 5.667435e-01 2.700581e-01 1.656056e-01 3.636570e-01 [121] 2.462696e-01 2.466303e-02 4.213623e-01 4.489059e-01 7.637078e-01 [126] 2.087557e-01 4.830611e-01 6.700834e-01 2.208345e-01 7.734499e-01 [131] 4.256139e-02 4.261427e-01 4.471692e-01 4.245606e-01 1.102179e-01 [136] 4.516261e-01 5.804299e-01 9.153565e-02 4.385377e-01 1.022664e+00 [141] 1.616731e-01 4.745742e-02 1.562909e-01 2.802069e-01 1.076678e+00 [146] 1.513887e-01 2.084334e-01 5.440930e-01 3.545922e-02 3.184863e-01 [151] 1.171897e+00 7.044796e-02 1.574848e-01 1.243401e-01 5.890943e-03 [156] 3.627619e-01 2.091939e-02 9.089155e-03 1.288532e-01 3.611962e-02 [161] 2.819984e-01 3.857930e-01 2.370127e-01 6.866840e-01 3.177456e-01 [166] 5.725926e-01 1.497169e+00 3.403816e-02 5.654661e-01 6.110675e-01 [171] 2.908559e-01 4.221237e-01 1.421152e-01 1.074311e-01 1.197750e-01 [176] 1.480850e-02 4.357958e-02 9.105529e-01 9.369537e-02 1.723722e-01 [181] 5.056900e-01 1.123196e+00 2.342614e-01 2.103152e-01 2.209030e-01 [186] 3.926312e-03 1.836230e-01 2.575463e-01 1.187029e-01 1.657315e-01 [191] 3.716173e-01 4.438974e-01 2.989386e-01 5.754019e-01 1.339608e-01 [196] 5.182816e-01 2.319747e-01 6.174451e-01 1.900579e-01 3.984637e-01 [201] 5.065192e-01 6.880933e-02 9.508957e-02 5.217000e-01 3.777451e-02 [206] 1.516765e-01 5.308719e-02 3.469369e-02 1.656034e-01 9.975539e-01 [211] 6.558595e-01 4.439744e-01 1.664239e-01 2.740887e-01 1.766462e-01 [216] 4.161922e-01 9.079292e-04 1.967739e-01 4.857570e-02 4.959076e-02 [221] 4.572827e-01 1.208280e-01 1.945224e-01 6.038998e-01 1.157115e-01 [226] 4.211222e-02 5.895398e-02 6.817215e-01 4.112928e-01 1.141581e-01 [231] 6.861108e-02 3.866843e-01 3.338882e-02 2.338863e-01 1.822125e-01 [236] 1.841437e-01 5.072756e-02 2.604931e-02 1.127956e-01 8.360923e-02 [241] 1.579263e-01 1.389816e-01 1.189073e-01 3.915888e-01 2.455094e-01 [246] 1.778190e-01 2.142681e-01 3.112294e-01 4.569076e-01 6.311963e-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/3ntm81228066198.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/1uykh1228066198.ps tmp/1uykh1228066198.png") > system("convert tmp/25wtw1228066198.ps tmp/25wtw1228066198.png") > system("convert tmp/3ntm81228066198.ps tmp/3ntm81228066198.png") > > > proc.time() user system elapsed 0.801 0.601 1.019