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/1x7k01228046218.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 -3 -4 -5 -4 -5 -6 -7 -8 -9 -8 -9 -10 -11 -12 -13 [19] -14 -13 -14 -15 -16 -17 -18 -19 -18 -19 -18 -19 -18 -19 -18 -19 -18 -19 [37] -18 -17 -16 -15 -14 -15 -16 -15 -14 -15 -16 -15 -14 -15 -14 -15 -14 -13 [55] -14 -15 -16 -15 -14 -15 -16 -15 -14 -13 -14 -13 -12 -13 -14 -15 -16 -17 [73] -16 -15 -16 -17 -16 -15 -16 -15 -14 -15 -14 -13 -14 -13 -14 -15 -14 -13 [91] -12 -11 -10 -11 -12 -11 -10 -9 -8 -7 -8 -7 -6 -7 -8 -7 -8 -9 [109] -8 -9 -8 -9 -8 -7 -8 -9 -10 -9 -8 -9 -8 -7 -6 -5 -4 -5 [127] -6 -5 -4 -3 -4 -5 -4 -3 -2 -1 0 1 2 1 0 1 0 -1 [145] -2 -1 -2 -1 -2 -3 -2 -3 -2 -3 -2 -3 -2 -3 -2 -3 -4 -5 [163] -4 -3 -4 -3 -4 -3 -2 -1 0 -1 -2 -1 0 -1 0 1 0 -1 [181] 0 -1 0 1 2 3 4 3 4 3 4 5 6 5 4 3 4 3 [199] 2 1 2 1 0 -1 -2 -1 0 1 2 3 4 3 4 5 6 5 [217] 4 5 6 5 4 3 2 3 2 3 2 3 2 1 0 1 2 1 [235] 0 1 0 -1 0 -1 -2 -3 -2 -1 -2 -1 -2 -3 -2 -1 -2 -1 [253] -2 -1 0 -1 -2 -3 -2 -1 -2 -1 -2 -3 -2 -1 0 1 2 1 [271] 2 3 4 5 4 3 2 1 0 -1 0 -1 -2 -3 -2 -1 0 -1 [289] 0 1 2 3 4 5 4 3 4 5 6 5 6 7 8 7 6 5 [307] 6 5 4 3 4 3 4 5 4 3 4 3 2 3 2 1 0 1 [325] 0 1 0 1 0 1 2 1 0 1 2 1 2 3 2 1 0 1 [343] 0 -1 -2 -3 -2 -1 0 1 0 -1 -2 -3 -2 -3 -2 -1 -2 -1 [361] 0 1 0 -1 0 1 2 1 0 -1 -2 -1 0 1 2 1 2 3 [379] 2 1 0 -1 0 -1 -2 -1 0 1 2 1 0 -1 -2 -1 0 -1 [397] 0 -1 0 -1 0 1 2 1 0 1 0 -1 0 -1 -2 -1 -2 -1 [415] 0 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -3 -4 -3 -4 -5 [433] -4 -5 -4 -3 -4 -3 -4 -3 -4 -3 -4 -5 -4 -3 -2 -1 0 -1 [451] 0 1 2 1 2 1 0 -1 -2 -1 0 1 2 3 4 5 6 7 [469] 6 5 4 5 6 5 4 3 2 1 2 3 2 3 2 3 4 3 [487] 2 1 0 1 2 1 0 1 0 -1 0 1 0 1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/27grj1228046218.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] 2.820994e+03 3.883421e+02 7.743970e+02 4.955950e+01 3.315196e+02 [6] 1.695539e+02 3.655266e+00 6.237482e+00 1.400607e+01 1.963307e+01 [11] 9.161210e+01 1.273814e+02 4.997298e+01 1.084068e+01 1.632473e+01 [16] 1.187876e+00 3.319343e+01 2.655841e+01 8.601374e+00 2.348840e+01 [21] 1.685378e-01 1.784807e+00 2.098199e+01 1.849318e+01 1.034258e+01 [26] 2.005497e+01 1.580029e+01 4.066232e-02 5.577989e+00 6.893155e+00 [31] 6.337439e+00 7.607226e-01 2.557781e+00 2.285321e+01 9.258170e-01 [36] 2.699485e+00 8.166177e-01 2.588712e+00 8.454951e+00 1.933186e+01 [41] 1.322499e+00 6.437705e+00 1.147240e+00 3.274880e+00 5.207686e-01 [46] 1.655539e-01 1.100225e+00 1.698698e+00 5.776233e-01 7.259562e-01 [51] 2.161287e+00 6.572703e+00 5.572939e+00 8.926598e-01 1.852249e+00 [56] 5.612513e-01 1.147273e+00 8.897900e-01 9.469007e-01 1.017113e+00 [61] 1.613269e+00 1.249623e+00 1.496036e+00 2.090101e+00 1.315187e-01 [66] 2.056328e+00 3.013040e+00 1.570410e-01 2.882158e+00 1.945308e-01 [71] 6.776174e-01 4.173517e-01 1.392559e+00 1.784111e+00 1.595783e+00 [76] 1.077403e+00 2.282251e+00 7.756011e-01 4.061828e-01 1.063426e+00 [81] 1.536830e+00 8.932060e-01 9.971289e-01 5.216458e-01 3.018635e+00 [86] 2.527666e+00 2.115491e+00 4.772004e-01 2.030195e+00 8.143317e-01 [91] 8.115794e-02 1.603149e-01 7.149530e-01 3.558291e+00 1.132330e+00 [96] 5.260668e-01 4.316913e-01 3.511167e-01 6.441146e-01 1.325570e+00 [101] 1.009581e+00 6.116463e-01 7.153088e-02 5.778242e-02 8.958859e-01 [106] 3.582560e-01 2.841897e-01 5.670729e-01 1.533567e+00 1.915097e-01 [111] 9.741074e-02 3.273503e+00 8.406104e-01 8.924178e-01 5.015099e-01 [116] 8.699707e-02 1.249118e-01 7.258809e-01 7.337769e-01 3.064459e-01 [121] 7.490633e-03 4.414737e-03 1.188610e+00 1.982359e-01 1.910106e+00 [126] 1.918941e-01 7.418504e-01 1.125154e-02 1.503147e-01 1.482378e-01 [131] 4.955110e-01 4.295789e-01 3.512597e-02 5.484622e-01 3.912798e-01 [136] 1.319086e+00 6.177668e-02 8.402974e-01 8.315423e-01 3.514713e-01 [141] 2.343173e-01 1.956862e-01 4.652329e-01 1.679010e-01 2.669545e-01 [146] 2.907716e-01 1.058934e+00 7.236401e-01 2.359944e-01 1.900142e-04 [151] 1.831739e-02 4.171883e-01 1.216206e+00 1.239918e+00 4.745071e-01 [156] 4.293373e-01 4.224312e-01 8.724990e-02 1.258849e-01 5.503540e-01 [161] 6.131935e-02 1.037364e-01 8.458811e-01 4.739569e-02 2.148455e-01 [166] 4.994666e-01 2.772875e-01 2.670695e-01 5.006141e-01 5.688052e-01 [171] 1.170037e-01 5.645038e-01 5.232678e-01 1.600661e-01 5.260902e-01 [176] 1.682966e-02 3.191066e-04 3.074994e-01 1.312782e-02 4.001616e-01 [181] 6.084481e-02 8.614223e-01 1.187514e-01 3.696622e-01 1.491188e-01 [186] 2.511632e-02 1.753193e-01 4.920968e-02 1.767547e-01 8.656986e-02 [191] 5.538006e-01 5.604833e-02 3.258621e-01 3.785562e-01 7.093449e-02 [196] 1.940072e-04 9.113214e-02 1.158914e-01 1.322050e+00 2.186296e-01 [201] 2.386590e-01 6.885473e-02 2.228583e-01 3.804410e-01 6.748094e-01 [206] 1.393412e-01 1.110899e-01 5.402796e-02 1.601251e-02 1.842618e-01 [211] 9.387664e-02 1.270603e-01 1.404455e-01 4.391079e-02 6.677378e-02 [216] 3.004502e-01 1.206797e-01 2.431434e-02 6.201653e-01 3.146326e-01 [221] 1.256469e-01 6.858952e-02 6.744420e-02 3.870443e-02 8.679722e-01 [226] 5.841523e-01 2.492562e-01 2.669243e-01 2.618712e-01 3.623210e-01 [231] 5.319707e-01 1.170893e-01 3.632989e-01 4.314882e-01 1.551988e-02 [236] 1.540713e-02 3.976360e-01 2.326541e-01 1.747393e-01 4.018428e-01 [241] 5.150952e-02 1.815858e-02 1.483942e-01 8.991858e-01 4.991370e-01 [246] 4.294459e-01 2.839979e-01 3.368784e-03 1.093393e-01 2.168740e-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/3me7o1228046218.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/1x7k01228046218.ps tmp/1x7k01228046218.png") > system("convert tmp/27grj1228046218.ps tmp/27grj1228046218.png") > system("convert tmp/3me7o1228046218.ps tmp/3me7o1228046218.png") > > > proc.time() user system elapsed 0.808 0.599 1.080