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/1qu4f1228160780.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 5 4 5 4 3 4 5 [19] 6 5 4 3 4 3 4 5 6 5 4 5 4 5 4 5 4 5 [37] 4 5 4 3 4 5 4 3 2 1 2 3 2 1 0 1 2 1 [55] 2 3 2 1 2 3 2 3 2 3 2 3 4 3 2 1 2 1 [73] 2 3 2 3 2 1 2 3 2 3 4 5 4 3 2 3 2 1 [91] 0 -1 -2 -3 -4 -3 -2 -1 0 -1 -2 -1 0 -1 -2 -3 -4 -5 [109] -4 -5 -6 -5 -6 -7 -6 -7 -8 -7 -8 -9 -8 -9 -8 -9 -10 -11 [127] -12 -11 -12 -13 -12 -13 -14 -15 -14 -13 -14 -13 -14 -13 -12 -11 -12 -13 [145] -14 -13 -12 -13 -12 -11 -10 -11 -12 -13 -14 -15 -16 -17 -16 -17 -18 -17 [163] -16 -15 -16 -17 -16 -15 -14 -13 -14 -15 -14 -13 -14 -13 -14 -13 -14 -15 [181] -16 -17 -16 -15 -14 -13 -14 -15 -16 -15 -14 -13 -12 -13 -14 -15 -14 -13 [199] -12 -13 -14 -15 -16 -15 -16 -17 -16 -15 -16 -15 -14 -13 -14 -13 -14 -13 [217] -12 -13 -12 -13 -12 -11 -10 -11 -12 -13 -12 -11 -10 -9 -10 -9 -10 -11 [235] -12 -11 -12 -11 -10 -11 -10 -9 -8 -7 -6 -7 -8 -7 -6 -7 -6 -7 [253] -8 -9 -10 -9 -10 -11 -12 -13 -12 -13 -14 -13 -12 -13 -12 -13 -14 -15 [271] -14 -15 -14 -13 -12 -13 -12 -13 -14 -13 -12 -13 -12 -13 -14 -13 -14 -13 [289] -14 -15 -16 -15 -16 -17 -16 -15 -14 -13 -12 -13 -14 -13 -12 -11 -12 -13 [307] -14 -13 -14 -13 -12 -11 -12 -11 -10 -11 -10 -11 -12 -13 -12 -11 -12 -11 [325] -12 -11 -10 -11 -10 -11 -12 -13 -12 -13 -12 -11 -12 -13 -12 -11 -10 -11 [343] -10 -11 -12 -13 -14 -15 -16 -17 -16 -15 -16 -17 -16 -17 -18 -19 -20 -19 [361] -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 -10 -11 -12 -11 -10 -11 -12 -13 [379] -14 -13 -12 -13 -14 -13 -12 -11 -12 -11 -12 -13 -12 -11 -10 -11 -12 -13 [397] -14 -13 -14 -13 -12 -13 -14 -13 -12 -11 -10 -9 -8 -9 -10 -11 -12 -11 [415] -10 -11 -10 -9 -10 -11 -12 -13 -14 -15 -14 -15 -14 -15 -16 -15 -14 -13 [433] -14 -15 -14 -15 -14 -15 -16 -15 -16 -15 -14 -13 -14 -15 -14 -15 -16 -17 [451] -16 -15 -14 -13 -12 -11 -10 -9 -10 -11 -12 -11 -10 -9 -8 -7 -6 -7 [469] -8 -7 -8 -7 -8 -9 -10 -11 -12 -13 -14 -13 -12 -11 -12 -13 -14 -15 [487] -14 -15 -16 -17 -18 -17 -18 -19 -18 -17 -18 -19 -20 -19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2zlao1228160780.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] 2.488315e+03 7.881622e+02 9.464163e+02 1.703845e+02 7.135178e+00 [6] 1.059854e+02 2.820790e+02 2.319091e+01 4.183075e+01 1.097863e+01 [11] 6.902943e+01 2.987049e+01 3.210468e+01 6.039202e+00 3.080709e+01 [16] 4.875606e+01 1.370589e+01 1.890973e+01 1.168181e+01 1.625340e+01 [21] 5.398441e+01 7.003152e+00 3.815606e+01 3.781125e+00 5.793869e+00 [26] 2.906905e+00 4.816637e+00 1.358403e+01 9.962339e-01 6.901267e+00 [31] 7.353388e+00 1.938032e+00 6.888281e-01 1.679794e-01 9.285404e+00 [36] 1.612093e-01 5.100709e+00 9.329693e+00 1.729481e+01 3.507116e+00 [41] 4.605978e+00 4.633643e+00 3.313402e+00 1.282714e+00 9.741802e+00 [46] 2.004286e-01 5.673802e-02 9.543952e-02 4.335399e+00 9.732203e-01 [51] 1.739146e+00 9.685684e-01 1.560738e+00 5.517639e+00 7.245433e-01 [56] 2.059794e+00 5.437137e-01 1.271776e+00 7.459690e-02 2.100360e+00 [61] 5.931298e-01 2.870971e+00 6.665149e+00 1.557886e+00 7.484069e-01 [66] 9.064520e-01 4.378923e+00 5.789992e+00 1.681038e+00 3.299650e-01 [71] 1.533180e-02 1.290680e+00 2.052580e+00 1.204774e+00 7.760193e-01 [76] 1.945190e+00 2.565986e+00 1.440531e+00 2.476435e+00 3.761269e+00 [81] 5.525375e-01 8.135160e-01 4.862445e-01 2.999637e+00 2.058125e+00 [86] 2.114801e+00 4.860055e-01 1.411814e+00 1.667825e-01 1.745272e+00 [91] 8.774618e-01 1.629846e+00 1.301468e+00 6.735103e-01 5.496568e-02 [96] 8.203945e-01 7.897599e-02 1.679015e-01 1.385653e+00 9.446038e-01 [101] 5.210690e-01 6.275939e-01 4.405831e-01 7.637483e-01 2.026522e+00 [106] 8.553811e-01 9.258887e-01 2.558242e-01 1.032861e-01 5.797318e-02 [111] 2.674104e-01 1.116803e+00 2.385635e-01 1.503029e+00 2.265225e-01 [116] 1.967977e-01 1.464385e-01 4.367256e-01 1.053154e-01 5.126027e-01 [121] 1.023359e+00 1.636668e-01 1.299144e-01 4.512983e-01 1.225568e+00 [126] 1.536777e-01 3.571651e-01 7.239475e-01 1.499512e-01 2.505174e-02 [131] 3.731958e-02 1.264124e+00 2.797347e-02 4.080246e-01 1.004778e+00 [136] 5.524672e-01 4.844847e-01 2.566888e-01 8.151204e-01 1.338596e-01 [141] 8.295286e-02 1.584012e-01 9.381895e-03 4.342047e-01 6.925380e-01 [146] 6.302535e-02 2.473001e-01 1.216177e-01 3.466552e-01 2.768272e-01 [151] 5.281571e-01 3.864690e-01 1.427205e-01 1.243044e+00 1.554717e-01 [156] 2.428148e-02 5.714272e-01 1.495029e+00 9.329830e-01 9.585652e-01 [161] 6.517196e-01 2.340099e-02 4.570593e-01 2.057868e-01 1.801839e-02 [166] 3.681631e-02 1.369263e-01 1.527006e-01 5.476378e-01 6.362178e-01 [171] 1.941034e-01 6.616028e-01 3.763812e-01 4.386298e-01 1.909337e-01 [176] 4.635675e-01 1.477326e-01 3.862409e-02 1.406893e-01 2.002128e-03 [181] 1.586807e-01 6.018510e-01 5.286155e-02 2.943773e-01 1.545602e-02 [186] 1.314699e-01 2.884270e-01 1.407594e-02 2.015525e-02 7.182282e-01 [191] 5.753344e-01 3.991495e-01 8.742362e-02 2.859563e-01 3.704783e-02 [196] 2.153062e-01 5.272930e-02 2.559212e-03 3.977766e-01 6.715343e-03 [201] 4.528693e-01 3.837723e-01 4.088748e-02 6.240805e-01 1.188789e-01 [206] 3.419192e-01 4.485709e-01 1.278925e-01 7.247975e-01 3.815071e-01 [211] 1.354829e-01 6.979584e-01 1.585078e-01 1.747829e-02 1.112924e-01 [216] 9.059200e-02 7.394923e-01 5.861759e-04 4.433589e-01 7.022417e-02 [221] 6.316696e-02 4.581286e-03 5.260914e-01 4.268732e-01 2.932371e-04 [226] 3.619805e-02 4.669672e-02 2.035951e-01 3.039113e-01 9.390884e-01 [231] 3.954170e-02 2.842066e-01 4.411454e-01 1.003571e-02 1.165222e-01 [236] 1.825978e-01 1.167419e-01 5.152404e-02 9.927207e-02 8.069926e-02 [241] 2.526554e-01 4.391968e-02 3.773544e-01 5.382348e-01 2.020780e-01 [246] 1.008154e-01 1.398947e-01 2.098621e-03 2.089881e-01 6.663192e-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/3sv281228160780.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/1qu4f1228160780.ps tmp/1qu4f1228160780.png") > system("convert tmp/2zlao1228160780.ps tmp/2zlao1228160780.png") > system("convert tmp/3sv281228160780.ps tmp/3sv281228160780.png") > > > proc.time() user system elapsed 3.167 1.544 3.341