R version 2.7.0 (2008-04-22) 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/1wrxu1228157873.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 3 2 3 2 1 2 1 0 -1 -2 -3 -4 -3 -4 -5 -6 -5 -4 [26] -3 -4 -3 -4 -5 -6 -7 -6 -5 -6 -5 -6 -5 -6 -5 -4 -5 -4 -3 -2 -1 -2 -3 -2 -3 [51] -2 -1 0 -1 0 1 0 -1 -2 -3 -4 -5 -4 -5 -6 -5 -6 -5 -4 -3 -2 -3 -2 -3 -4 [76] -5 -4 -5 -6 -7 -6 -5 -4 -3 -2 -3 -4 -3 -4 -3 -4 -5 -6 -5 -4 -5 -6 -7 -6 -7 [101] -6 -5 -6 -5 -6 -5 -4 -3 -2 -1 -2 -1 -2 -1 0 -1 -2 -1 0 -1 0 -1 0 1 2 [126] 3 4 5 4 3 4 3 2 3 4 5 6 7 8 9 10 11 12 13 14 13 12 11 10 9 [151] 8 7 6 7 6 5 4 5 4 3 4 3 2 1 2 1 2 1 0 -1 0 -1 0 -1 0 [176] 1 0 1 0 1 0 1 2 1 2 3 2 3 2 3 2 3 4 3 4 3 2 3 4 3 [201] 2 3 4 3 4 3 2 1 0 1 2 1 0 1 0 1 0 -1 0 -1 0 1 2 1 2 [226] 3 2 3 4 3 4 5 6 5 6 7 8 7 6 7 6 7 8 7 6 5 4 3 2 3 [251] 4 3 4 3 4 5 4 3 4 5 6 5 6 7 8 7 6 5 6 5 4 5 6 7 8 [276] 7 8 7 6 5 4 5 4 5 6 5 6 7 6 7 8 7 8 9 8 7 8 7 6 5 [301] 4 5 4 3 4 5 6 7 6 5 4 5 4 3 4 3 4 3 4 5 4 5 6 7 6 [326] 5 6 5 4 3 4 5 6 7 6 5 6 5 6 7 8 9 8 9 8 9 10 9 8 7 [351] 8 9 8 9 10 9 10 11 12 11 10 9 10 9 8 9 10 11 12 13 14 13 14 13 12 [376] 11 10 11 10 11 12 13 12 13 14 15 14 13 12 11 10 11 10 9 10 9 10 9 8 9 [401] 8 9 10 9 10 9 10 9 10 11 12 11 10 11 12 13 14 13 14 13 14 15 14 15 14 [426] 15 14 15 14 13 12 11 12 11 12 13 14 15 14 13 14 13 12 11 10 11 10 9 10 9 [451] 10 9 10 9 8 9 10 11 10 11 12 11 12 13 14 15 16 17 16 17 18 19 20 19 20 [476] 19 18 19 18 17 18 19 20 21 20 21 22 23 22 21 20 21 22 23 22 23 22 21 22 23 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2emg91228157873.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] 6.459045e+01 1.292259e+02 9.020314e+01 5.154591e+02 1.674979e+02 [6] 1.178737e+02 2.244127e+02 1.205344e+01 1.203347e+02 6.410034e+01 [11] 1.828169e+02 3.959165e+01 3.148897e+01 1.456648e+01 1.046617e+01 [16] 2.798177e+01 6.694209e+01 8.613611e-01 3.656863e+00 1.749602e+01 [21] 6.248197e-01 5.038866e+00 1.877276e+00 1.371610e+00 6.810931e+00 [26] 5.605241e+00 3.173050e+01 2.384759e+00 5.139315e+00 2.784834e+01 [31] 1.302557e+01 4.602830e+00 7.950220e+00 1.050997e+01 1.383953e+01 [36] 2.890397e+00 8.353254e+00 1.073891e+01 2.185001e+00 2.140112e+00 [41] 2.165513e+00 7.880219e+00 3.870412e+00 1.836054e+00 5.301346e-01 [46] 3.560414e+00 2.984217e+00 1.662121e+00 1.103432e+00 6.940656e+00 [51] 2.772115e+00 1.406757e+00 1.056338e+00 2.445224e+00 4.748374e-01 [56] 1.865342e+00 8.214391e-01 9.788660e-01 5.110395e-01 2.308803e+00 [61] 1.450916e+00 2.279414e-01 2.174106e+00 6.699936e-01 4.497963e-02 [66] 2.952440e-01 8.381662e-01 1.706348e-01 7.463704e-02 2.717621e-01 [71] 9.485806e-02 1.917800e+00 4.859576e-01 2.813103e-01 4.791884e-03 [76] 3.132824e-01 3.770513e-01 4.870194e+00 5.921398e-02 8.940322e-01 [81] 2.047800e+00 1.058678e+00 4.661495e-01 7.864743e-01 1.223033e-01 [86] 6.842893e-01 1.751008e-01 2.440164e+00 9.327954e-02 8.022825e-02 [91] 1.345088e+00 6.498834e-01 1.578251e-02 3.858310e-01 2.019911e-01 [96] 1.022135e+00 2.930761e-01 3.682028e-01 5.847057e-01 2.811272e-01 [101] 9.966188e-01 3.201269e-01 6.377541e-01 3.890955e-01 9.268509e-02 [106] 6.140657e-01 7.564660e-01 2.157170e-01 5.866059e-01 6.943890e-01 [111] 4.125099e-01 8.371422e-01 3.461180e-01 2.945164e-01 1.265628e+00 [116] 2.712791e-01 8.196302e-01 1.799144e-01 1.383078e-01 1.237881e+00 [121] 7.679072e-01 1.936161e-01 2.431244e-01 4.453837e-01 1.247293e-01 [126] 1.535709e-01 1.011773e+00 3.339158e-01 2.441650e-01 2.023406e-02 [131] 3.153301e-01 1.881037e+00 1.930863e-02 4.000947e-01 2.094183e-01 [136] 2.389936e-01 3.666455e-01 2.486293e+00 4.248071e-01 1.221129e-01 [141] 2.799256e-01 1.269354e+00 1.403829e-01 1.600425e-01 3.323444e-01 [146] 1.384547e-01 8.962698e-01 1.184069e+00 4.160606e-01 1.466145e-01 [151] 1.407261e-01 8.575103e-02 8.337505e-01 9.913929e-02 1.396292e-01 [156] 2.281509e-02 2.332463e-01 2.642546e-01 6.962005e-02 7.238746e-02 [161] 7.363126e-02 7.868469e-01 9.375474e-01 3.635042e-01 1.353577e-01 [166] 7.591369e-02 7.837987e-02 3.449914e-01 1.349263e-01 6.460267e-01 [171] 8.606212e-02 5.794301e-02 2.437601e-01 7.829179e-01 7.961232e-02 [176] 1.329708e-01 8.955764e-03 1.149246e-01 8.290188e-02 8.512696e-02 [181] 5.154801e-01 4.113371e-01 2.970862e-01 1.052740e+00 1.969463e-02 [186] 4.187005e-01 1.046662e+00 5.538550e-01 7.985291e-02 7.348382e-03 [191] 5.245681e-01 3.305703e-01 4.813852e-02 9.234632e-02 8.036038e-02 [196] 2.996930e-01 4.012942e-01 5.604824e-01 2.951569e-01 2.222071e-01 [201] 1.428177e+00 7.448550e-01 6.974525e-02 1.049712e-02 2.772383e+00 [206] 4.578185e-01 7.929806e-01 1.004165e+00 2.752003e-01 4.419694e-01 [211] 7.800879e-02 2.881860e-01 3.304015e-01 1.072516e-01 4.587876e-01 [216] 6.591837e-02 2.589948e-01 2.575025e-01 5.560971e-02 2.523554e-01 [221] 8.089928e-02 1.610767e-01 7.338983e-02 2.620186e-01 2.721574e-01 [226] 3.718323e-01 2.704391e-01 3.123595e-01 5.341101e-01 3.608096e-01 [231] 1.994141e-01 5.208478e-02 2.190073e-01 3.842172e-01 2.372195e-01 [236] 4.547473e-01 4.073987e-01 2.387409e-01 4.318189e-01 3.924048e-01 [241] 7.779411e-02 1.773047e-02 8.957489e-02 1.465564e-01 2.295448e-01 [246] 7.586730e-03 9.710772e-02 1.484072e-02 9.554611e-02 2.729798e-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/3vsim1228157873.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/1wrxu1228157873.ps tmp/1wrxu1228157873.png") > system("convert tmp/2emg91228157873.ps tmp/2emg91228157873.png") > system("convert tmp/3vsim1228157873.ps tmp/3vsim1228157873.png") > > > proc.time() user system elapsed 2.565 1.671 2.735