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/1ndv21227958420.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 3 2 1 2 3 4 5 4 3 2 1 0 -1 0 1 0 -1 0 [26] -1 -2 -3 -2 -3 -4 -3 -2 -1 0 1 0 1 2 3 4 3 2 1 2 3 2 3 2 1 [51] 0 -1 0 -1 0 1 2 1 0 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -4 -3 -4 -5 -4 [76] -5 -6 -5 -6 -7 -8 -7 -6 -7 -6 -5 -4 -3 -2 -1 0 1 0 1 0 1 0 1 0 -1 [101] -2 -3 -2 -1 0 1 2 3 2 1 0 1 2 1 0 -1 -2 -3 -2 -3 -2 -1 0 1 0 [126] -1 0 1 2 3 2 3 4 5 6 7 8 9 8 7 8 9 8 7 8 9 10 9 8 7 [151] 6 5 6 7 6 7 8 9 8 7 8 7 6 5 6 7 6 5 6 5 4 3 4 5 4 [176] 3 2 3 4 3 4 3 4 5 4 5 6 7 6 7 8 7 8 7 8 9 10 11 10 9 [201] 8 7 8 7 6 7 8 7 6 7 6 5 4 3 2 3 2 1 0 -1 0 -1 0 -1 0 [226] 1 0 1 2 1 0 1 2 1 0 1 2 3 4 5 4 5 6 5 6 5 6 5 6 5 [251] 6 5 4 3 4 5 4 5 6 5 6 5 4 5 6 5 4 5 4 3 4 3 4 5 6 [276] 7 6 5 6 7 6 5 6 7 6 5 4 5 4 3 4 3 2 1 2 1 0 1 2 1 [301] 0 -1 0 -1 0 -1 0 1 2 3 2 3 4 5 6 5 4 5 6 5 4 3 2 1 0 [326] 1 2 1 0 -1 0 1 2 1 2 3 4 3 4 5 4 3 4 3 2 1 0 1 2 3 [351] 2 3 2 3 2 3 4 3 4 5 6 7 8 7 6 7 6 7 8 7 8 7 6 7 6 [376] 5 4 3 2 3 2 3 4 5 4 3 4 3 4 3 2 1 2 3 4 3 2 1 2 3 [401] 4 3 2 3 2 1 2 1 2 3 4 5 4 3 4 3 4 3 2 3 2 1 2 1 0 [426] -1 0 1 0 -1 0 -1 0 -1 -2 -1 -2 -1 0 -1 -2 -3 -2 -3 -4 -3 -4 -3 -2 -3 [451] -4 -3 -2 -1 0 -1 0 1 2 1 2 1 2 3 2 1 2 3 2 3 2 1 0 1 2 [476] 1 2 3 4 3 2 3 2 3 2 3 4 5 6 7 8 7 8 9 10 9 10 9 8 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/25bm91227958420.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] 6.991047e+02 1.535341e+02 4.756639e+02 4.531886e+02 4.900666e+01 [6] 1.139101e+01 1.004652e+02 3.043360e+00 2.275841e+02 8.585257e+01 [11] 2.305002e+02 1.109790e+01 3.586088e+01 2.682620e+01 1.139159e+01 [16] 1.694889e+00 4.215086e+01 6.970371e+00 4.342628e+00 7.892015e+01 [21] 3.534389e-01 2.179588e+01 2.597294e+00 3.479398e+00 3.640765e+00 [26] 1.003199e+01 1.046009e+01 2.379160e+00 2.831179e+01 7.059883e+00 [31] 1.709365e+00 5.426324e+00 1.385253e+00 8.760886e-01 3.475922e+00 [36] 1.042945e+00 2.497599e-01 2.567119e+00 5.455295e+00 3.160353e+00 [41] 1.124643e+00 1.841256e+00 3.445928e-01 3.680317e+00 2.920134e-01 [46] 7.350299e+00 1.995517e-01 3.238983e-01 7.943342e+00 5.049969e+00 [51] 3.844708e+00 1.323113e+00 1.050159e-01 1.528591e+00 1.938974e+00 [56] 8.747229e-02 7.068817e-02 1.521493e+00 7.735350e+00 2.564290e+00 [61] 1.381443e+00 1.517812e+00 8.279545e-01 4.684680e-01 3.956078e-01 [66] 2.800690e+00 8.273993e-02 2.292240e+00 5.731365e-01 8.364996e-01 [71] 5.033458e-04 1.218856e+00 1.041422e+00 1.253793e-01 8.213975e-01 [76] 7.309837e-01 1.908876e-01 5.078622e-03 2.684969e+00 1.473952e-02 [81] 1.698070e+00 1.400615e+00 1.052895e-01 1.127413e+00 2.056782e-01 [86] 1.324754e+00 1.464696e+00 7.206359e-02 2.529078e+00 2.324607e-01 [91] 7.293049e-01 5.190239e-01 2.976800e+00 5.948747e-01 6.831483e-01 [96] 9.056002e-01 9.528512e-01 4.268289e-01 5.823793e-01 1.707565e+00 [101] 1.221893e+00 5.001663e-01 1.170282e+00 1.156817e+00 8.688032e-01 [106] 4.277471e-01 2.832904e-01 1.069424e+00 1.116157e+00 3.088618e-01 [111] 7.836757e-01 5.789167e-01 4.793406e-01 4.954182e-01 2.861032e-01 [116] 5.255995e-01 2.861379e-01 1.213955e+00 5.843788e-01 1.917060e+00 [121] 4.760267e-01 3.695624e-01 3.825161e-01 1.600496e+00 3.944145e-01 [126] 1.191169e+00 3.686618e-01 1.675004e+00 3.588873e-01 4.583498e-01 [131] 4.216079e-01 7.730866e-01 6.898564e-01 1.231719e+00 3.466704e-01 [136] 9.261388e-01 1.862959e-01 1.449035e-01 3.751047e-01 1.836087e-01 [141] 2.225963e-01 2.375224e-02 1.649598e-01 2.118814e-02 2.589499e-01 [146] 3.193251e-01 2.170994e-01 1.057311e+00 2.023404e-01 2.252694e-01 [151] 1.200914e-02 4.516817e-01 7.154302e-01 4.412832e-01 9.822995e-01 [156] 2.233937e-02 9.547494e-01 1.148909e-01 3.610874e-01 7.460057e-02 [161] 1.121439e+00 3.557497e-01 2.906041e-01 1.459949e-01 9.843695e-02 [166] 3.109364e-01 2.864640e-01 8.894429e-01 2.208657e-01 2.958084e-01 [171] 3.881327e-02 2.194733e-01 2.188563e-01 8.623982e-01 1.656500e-01 [176] 8.653433e-02 9.246803e-03 1.102065e-01 6.091427e-01 6.319218e-02 [181] 3.960813e-01 4.211776e-01 5.472147e-01 2.660900e-01 1.966163e-01 [186] 3.809762e-01 4.863936e-01 3.398528e-01 2.096796e-02 1.061488e-01 [191] 1.402349e+00 1.027379e-01 1.973961e-01 5.105115e-01 3.521264e-01 [196] 2.236688e-01 3.619666e-02 7.397858e-02 2.864674e-01 4.932919e-01 [201] 2.766837e-01 5.374541e-01 1.559592e-02 4.465382e-01 1.852381e-01 [206] 7.450233e-01 6.728721e-03 4.195142e-02 1.984152e-01 2.368508e-01 [211] 3.017701e-01 1.000114e-02 3.624447e-01 1.202919e+00 4.294006e-01 [216] 1.190112e-01 4.019549e-01 4.911924e-01 4.290614e-01 1.301832e-01 [221] 5.732204e-02 2.700830e-01 2.034745e-02 7.584389e-02 1.034591e-01 [226] 1.632261e-01 5.235639e-04 1.690455e-01 6.409961e-01 6.342615e-02 [231] 1.670856e-01 6.150939e-01 1.656230e-01 5.937899e-01 9.419304e-02 [236] 1.166535e-01 6.129849e-02 1.268791e-01 1.778004e-01 3.746244e-02 [241] 1.290171e-01 6.235867e-02 1.775870e-01 1.368101e-01 6.274697e-02 [246] 2.428994e-01 3.774251e-02 1.234399e-01 2.060345e-01 4.685436e-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/3a2771227958420.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/1ndv21227958420.ps tmp/1ndv21227958420.png") > system("convert tmp/25bm91227958420.ps tmp/25bm91227958420.png") > system("convert tmp/3a2771227958420.ps tmp/3a2771227958420.png") > > > proc.time() user system elapsed 0.809 0.579 1.091