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/1e2wr1228161995.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 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -2 -3 -2 -1 [19] -2 -1 0 -1 -2 -1 0 -1 -2 -1 0 1 2 1 2 1 0 -1 [37] -2 -3 -4 -3 -4 -3 -4 -3 -4 -3 -4 -5 -4 -3 -4 -5 -6 -7 [55] -6 -7 -6 -7 -6 -5 -6 -7 -8 -9 -8 -9 -8 -7 -6 -7 -8 -7 [73] -6 -7 -6 -5 -4 -3 -2 -1 0 1 2 1 2 3 4 3 4 5 [91] 4 5 6 7 6 7 8 7 6 5 6 7 8 7 8 9 10 9 [109] 10 11 12 13 14 13 14 15 14 15 16 17 16 17 18 19 18 17 [127] 18 17 18 19 18 19 20 19 18 19 18 19 20 21 22 21 22 21 [145] 22 23 22 23 22 23 24 23 22 21 20 19 20 21 20 19 20 21 [163] 20 21 22 21 20 21 20 19 20 21 22 21 20 19 18 19 18 17 [181] 16 17 16 15 14 15 14 13 12 13 14 13 12 11 10 11 10 11 [199] 10 11 10 9 10 9 10 9 8 9 10 9 8 9 8 9 10 9 [217] 8 7 6 7 6 7 6 7 6 5 4 5 6 5 6 7 6 7 [235] 6 7 8 9 8 7 8 9 8 7 8 9 8 7 6 7 8 7 [253] 8 7 6 5 6 5 4 5 6 5 4 3 2 1 2 3 4 3 [271] 2 3 4 5 4 3 2 3 4 5 4 5 6 7 6 5 4 3 [289] 2 3 4 3 2 1 0 -1 -2 -1 0 -1 0 -1 -2 -1 0 -1 [307] -2 -1 -2 -3 -2 -3 -2 -1 0 -1 0 -1 0 1 0 1 2 1 [325] 0 1 2 1 2 3 2 3 4 3 4 5 6 5 4 5 6 5 [343] 6 7 8 9 8 7 8 7 6 7 8 7 6 5 6 5 6 7 [361] 6 5 4 5 4 5 4 3 4 5 6 5 4 3 4 5 6 5 [379] 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -8 -9 [397] -10 -9 -10 -9 -8 -9 -10 -9 -8 -9 -8 -9 -8 -7 -6 -7 -6 -5 [415] -6 -7 -8 -7 -6 -7 -8 -7 -8 -7 -6 -7 -8 -9 -10 -9 -8 -7 [433] -6 -7 -8 -9 -10 -11 -12 -11 -10 -9 -10 -11 -12 -13 -14 -13 -12 -11 [451] -12 -11 -12 -13 -14 -13 -14 -15 -14 -15 -14 -15 -14 -15 -16 -17 -16 -17 [469] -18 -17 -16 -15 -14 -13 -14 -13 -12 -11 -10 -11 -12 -13 -12 -13 -12 -13 [487] -14 -15 -14 -13 -12 -11 -12 -11 -10 -9 -8 -9 -8 -7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/26t9u1228161995.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] 7.622472e+03 3.405254e+03 3.363824e+03 2.264584e+03 3.825159e+01 [6] 4.578657e+02 1.062381e+02 7.755001e+01 3.150371e+01 9.496801e+01 [11] 1.683655e+01 7.690159e+01 5.225300e+00 1.769626e+01 8.865574e+01 [16] 1.244824e+01 3.689915e+01 5.085861e+00 1.040206e+01 5.025038e+00 [21] 1.216352e+01 2.155155e+00 5.106537e+00 3.115544e-01 4.054674e-01 [26] 4.825722e+00 1.744238e+00 6.384211e-01 1.571277e+00 2.954241e+00 [31] 3.111315e+00 2.649976e+00 1.096904e+00 1.602950e+00 2.661297e+00 [36] 4.733581e-02 8.256070e-01 4.741478e+00 4.193879e-01 1.306119e+00 [41] 1.691237e-01 4.278276e+00 6.888710e-01 1.772551e-01 2.394430e-01 [46] 3.797898e+00 5.733509e+00 1.968719e+00 2.083952e-01 1.108814e+01 [51] 2.772195e-01 1.913624e+00 1.937972e+00 5.304398e-01 5.801289e+00 [56] 7.269419e+00 5.443456e-02 3.345994e+00 4.309773e-01 1.117559e+00 [61] 2.061751e+00 8.303135e-01 2.863876e+00 6.367675e+00 9.328230e-01 [66] 3.310052e+00 4.241701e+00 2.207969e-01 4.218710e-01 1.190740e-01 [71] 1.485228e+00 9.617022e-02 3.807613e-01 2.345308e-01 1.432201e+00 [76] 9.516680e-02 1.301762e+00 9.867589e-01 4.379037e-01 1.722073e-01 [81] 8.199248e-01 9.796139e-01 2.632833e+00 1.855060e+00 5.312465e-01 [86] 1.254003e+00 1.072077e+00 7.192299e-02 1.413961e+00 6.601436e-01 [91] 3.341573e-01 4.693958e-01 1.744777e+00 1.544978e+00 1.034640e+00 [96] 4.948589e-01 7.575174e-01 5.281462e-01 1.048238e+00 1.694293e-01 [101] 3.961970e-01 1.966187e-03 6.412326e-01 7.542778e-01 1.291907e-01 [106] 1.113459e+00 1.628423e+00 1.825227e-01 1.153902e-01 3.428087e+00 [111] 9.091274e-01 3.683886e-02 3.039257e-01 2.069988e+00 2.182052e-01 [116] 5.710016e-01 1.193666e+00 1.021488e+00 1.240896e+00 7.669930e-01 [121] 2.430619e-01 5.246648e-01 2.469767e-02 4.066312e-02 6.628137e-01 [126] 5.570323e-02 4.223373e-02 2.475251e-02 1.562444e-01 7.599892e-01 [131] 1.529873e+00 7.471416e-02 4.736846e-02 4.450399e-01 1.432666e+00 [136] 1.524697e+00 2.720697e-01 3.429408e-01 9.558193e-01 8.214098e-01 [141] 1.945859e-01 7.052167e-01 5.181541e-01 3.339561e-01 1.827118e-01 [146] 2.107072e+00 6.239006e-02 5.360104e-01 1.447473e-02 2.065212e-01 [151] 6.850944e-01 1.570110e+00 4.407046e-02 5.454849e-01 1.432354e-01 [156] 7.581548e-01 1.166437e+00 1.438126e-01 4.339060e-01 1.814253e-01 [161] 5.514862e-01 1.470541e-01 2.539539e-01 4.743496e-02 1.091037e-03 [166] 1.422840e+00 3.348278e-01 8.429429e-02 2.584753e-02 1.838746e-02 [171] 6.223568e-01 5.179971e-01 6.204576e-01 2.464952e-01 3.779525e-02 [176] 1.573759e-01 2.475894e-02 4.227756e-01 1.329400e-01 3.344243e-02 [181] 7.372838e-02 4.943882e-01 2.658529e-01 2.705144e-02 2.331128e-01 [186] 2.068117e-01 4.135695e-01 3.671283e-02 2.132183e-01 3.453499e-01 [191] 3.318078e-01 3.785552e-01 7.497207e-02 4.989234e-02 5.025913e-03 [196] 5.799253e-03 2.120477e-01 2.470374e-01 3.741048e-01 1.192584e-01 [201] 2.626592e-02 7.541426e-02 2.338320e-01 4.219410e-01 4.852479e-02 [206] 2.064417e-02 2.490421e-01 3.044046e-01 4.935026e-01 4.127654e-01 [211] 8.475537e-01 4.485590e-02 1.800663e-01 2.138447e-01 3.817058e-01 [216] 3.007134e-01 3.649139e-01 3.907681e-01 2.659780e-02 9.619270e-02 [221] 2.195383e-01 9.076756e-01 1.803233e-01 4.478039e-02 1.349346e-01 [226] 3.156914e-01 1.127141e-01 8.089425e-02 3.391104e-01 6.422097e-01 [231] 4.131699e-02 1.244907e-01 7.966333e-01 4.181159e-02 9.270092e-02 [236] 1.545651e-01 1.366003e-01 4.835174e-02 3.677602e-01 5.560850e-01 [241] 1.056416e-01 1.127756e-01 6.860519e-02 2.995411e-01 9.208790e-02 [246] 6.125998e-02 3.487891e-02 6.967948e-01 2.407862e-01 7.239453e-04 $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/3v6mf1228161995.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/1e2wr1228161995.ps tmp/1e2wr1228161995.png") > system("convert tmp/26t9u1228161995.ps tmp/26t9u1228161995.png") > system("convert tmp/3v6mf1228161995.ps tmp/3v6mf1228161995.png") > > > proc.time() user system elapsed 0.790 0.582 0.972