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/1zt2z1228057716.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 0 -1 -2 -3 -4 -3 -4 -5 -4 -5 -4 -5 -4 -3 -2 -1 0 1 0 [26] 1 0 1 2 3 4 5 6 5 4 5 4 3 2 3 2 3 4 3 4 5 6 7 8 7 [51] 8 9 8 7 6 5 4 3 2 3 4 3 4 5 4 5 4 3 2 1 0 1 2 3 4 [76] 5 4 3 2 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 0 1 0 -1 0 1 0 1 [101] 2 3 2 1 2 3 4 3 4 5 4 5 6 7 8 7 8 9 10 9 10 9 10 11 10 [126] 9 10 11 10 9 8 9 10 9 8 7 8 7 8 7 8 7 8 7 8 7 6 7 8 7 [151] 8 9 10 9 8 7 6 5 4 5 4 5 6 7 8 7 8 7 8 9 10 9 10 9 10 [176] 11 10 9 10 9 10 9 8 7 6 5 6 5 6 7 6 5 4 5 6 7 8 7 8 9 [201] 8 7 8 7 8 9 8 9 8 9 10 11 10 11 10 11 10 9 10 9 10 11 12 13 12 [226] 13 14 15 16 15 16 15 14 15 16 17 16 15 14 13 12 11 10 11 10 9 10 9 10 11 [251] 12 11 10 9 8 7 6 7 8 9 10 9 8 9 8 9 10 9 10 9 10 9 8 9 10 [276] 11 10 9 10 11 12 13 14 13 14 15 14 13 12 13 14 13 12 13 12 13 14 13 14 13 [301] 12 13 14 15 16 15 16 17 16 15 16 15 16 17 16 15 16 17 18 17 18 19 20 21 20 [326] 21 20 19 18 19 20 21 22 21 20 21 20 19 18 17 16 15 14 13 12 11 10 11 12 13 [351] 12 11 12 13 12 13 12 11 10 9 8 7 8 7 8 7 8 9 10 11 10 11 12 11 12 [376] 13 12 11 12 13 12 13 14 15 16 15 16 17 18 17 16 15 16 17 16 15 16 15 14 13 [401] 12 11 10 9 10 11 12 11 10 11 10 11 10 11 12 11 10 9 10 11 10 9 8 9 10 [426] 11 10 11 12 13 12 11 10 9 10 11 10 9 10 9 10 11 12 11 10 11 12 11 10 11 [451] 10 9 8 7 8 9 8 7 6 5 4 5 4 5 6 5 4 3 2 3 2 1 2 1 2 [476] 3 2 3 4 3 2 1 0 -1 -2 -1 0 1 0 -1 0 1 2 3 2 1 0 1 0 -1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2mdm71228057716.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] 1.777255e+03 1.547064e+02 1.768025e+02 5.657263e+01 5.970845e+02 [6] 2.981404e+02 3.205273e+01 9.851834e+01 4.600948e+02 1.289438e+02 [11] 1.828974e+00 4.214502e+00 1.859056e+00 1.383687e+00 1.972766e-01 [16] 3.524814e+01 1.590099e+01 7.476256e+00 4.115800e+01 2.849962e+01 [21] 1.009469e+01 1.386483e+01 4.653430e+00 1.685576e+00 2.948181e+01 [26] 6.952397e-01 9.059084e+00 2.113690e+01 1.774734e+01 6.332247e+00 [31] 2.734352e+00 1.319388e+00 1.477011e+01 1.538960e+01 1.091921e+01 [36] 7.223347e-01 7.820360e+00 1.484226e+00 1.421148e+00 3.714392e+00 [41] 1.336447e+01 3.589098e+00 1.330218e+00 2.317983e+00 2.717948e+00 [46] 2.447230e+00 9.485667e-01 4.183378e+00 1.004241e+00 1.248873e+00 [51] 3.946989e+00 1.405201e+00 9.924905e-01 2.135970e-01 5.890877e-01 [56] 5.795869e+00 1.548997e+00 1.158396e+00 7.098890e-01 1.927125e+00 [61] 1.508784e-01 5.288030e+00 2.390752e+00 1.022078e+00 3.138439e+00 [66] 2.185519e+00 3.375525e-02 4.002255e+00 1.673002e+00 2.035259e-01 [71] 5.615407e-01 4.368755e-01 1.161644e+00 2.792729e-01 1.105470e+00 [76] 4.627071e-01 5.094996e-02 2.242613e+00 1.253202e+00 1.572035e+00 [81] 5.489895e-01 1.001090e+00 1.108351e-01 1.920907e-01 1.063987e+00 [86] 1.349971e+00 1.314409e+00 4.825493e-01 5.206810e-01 2.900615e-01 [91] 5.553305e-01 1.941469e-02 2.849766e-01 2.511863e+00 2.539512e-01 [96] 1.582204e+00 8.048275e-01 4.921206e+00 5.534636e-01 4.140302e-01 [101] 4.242771e-01 7.055514e-01 2.952848e-01 4.860351e-01 7.742887e-01 [106] 8.178606e-01 4.415285e-01 9.722906e-01 9.704407e-01 2.345203e-01 [111] 2.760831e+00 7.782817e-01 2.520046e+00 1.243341e-01 9.451663e-01 [116] 2.101475e-01 7.196510e-01 2.878705e-01 7.598699e-01 9.013350e-01 [121] 1.870517e-02 3.441331e-01 8.543161e-01 2.379940e-01 1.598220e-01 [126] 6.388085e-01 1.512024e+00 7.544130e-01 7.473256e-01 4.335915e-01 [131] 1.361305e-01 2.842014e-01 2.624470e-01 2.406748e-01 2.118074e-01 [136] 2.147015e-01 6.403929e-03 8.661711e-02 3.652672e-01 7.129176e-01 [141] 3.863351e-01 8.217650e-02 2.424597e-01 2.385863e-01 3.183336e-01 [146] 1.018633e-01 1.628534e-01 3.691601e-02 9.157123e-02 8.052323e-01 [151] 4.951200e-01 1.839401e-01 2.399295e-01 1.343450e-01 9.802284e-02 [156] 4.475739e-01 3.364690e-01 1.524534e-01 1.047185e-01 1.403359e-01 [161] 2.457138e-03 5.201155e-01 3.967726e-01 1.605271e-01 1.233820e+00 [166] 7.154596e-01 3.061221e-01 7.749500e-03 6.349798e-01 5.634431e-01 [171] 8.360561e-02 8.133744e-01 1.559623e-01 2.272841e-01 3.088169e-01 [176] 6.954506e-01 1.943566e-01 4.676755e-02 5.507528e-01 8.242598e-02 [181] 3.332566e-01 1.420705e+00 5.636549e-01 1.200051e-02 1.595638e-01 [186] 3.282033e-01 2.750102e-01 3.717701e-01 3.444576e-01 1.858462e-01 [191] 4.041721e-01 1.033905e-02 1.314028e-01 9.972237e-02 8.344770e-02 [196] 3.271296e-02 2.024904e-01 3.177474e-01 4.229721e-01 9.013237e-02 [201] 5.198539e-01 8.159985e-01 1.829921e-01 6.142252e-02 6.026640e-01 [206] 2.551717e-02 2.458036e-01 1.197311e-01 3.510080e-02 2.572609e-01 [211] 5.407327e-02 6.034127e-01 3.023295e-02 5.191764e-02 1.752791e-01 [216] 9.163637e-02 2.372745e-01 5.443887e-01 3.685966e-01 7.818332e-01 [221] 5.966078e-02 9.445972e-02 2.168555e-01 5.463264e-02 1.432760e-01 [226] 4.931736e-02 1.164190e-01 1.019158e-01 1.537335e-01 3.082621e-01 [231] 1.930139e-01 6.263172e-01 1.638102e-01 1.334370e-01 2.531867e-01 [236] 5.398376e-02 4.045215e-02 4.692856e-01 1.319572e-01 2.106915e-02 [241] 3.183456e-02 5.011035e-01 8.435794e-02 9.006487e-02 4.211889e-02 [246] 6.063338e-01 3.642494e-01 2.958673e-01 3.058387e-01 8.047964e-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/3x9ku1228057716.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/1zt2z1228057716.ps tmp/1zt2z1228057716.png") > system("convert tmp/2mdm71228057716.ps tmp/2mdm71228057716.png") > system("convert tmp/3x9ku1228057716.ps tmp/3x9ku1228057716.png") > > > proc.time() user system elapsed 0.829 0.604 0.938