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/1l6ei1228221791.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 -2 -1 -2 -1 -2 -3 [19] -4 -5 -6 -5 -6 -5 -4 -5 -4 -5 -4 -3 -4 -5 -6 -5 -6 -5 [37] -4 -3 -4 -3 -4 -3 -2 -1 0 1 0 1 0 1 2 3 4 3 [55] 4 5 6 5 4 3 2 3 4 3 2 1 0 -1 0 -1 0 -1 [73] -2 -3 -2 -3 -2 -3 -2 -1 0 -1 -2 -1 0 -1 -2 -3 -4 -5 [91] -4 -3 -4 -3 -4 -3 -4 -5 -4 -5 -6 -5 -6 -7 -6 -5 -4 -5 [109] -6 -7 -6 -5 -6 -7 -8 -9 -10 -11 -10 -9 -10 -9 -10 -9 -8 -7 [127] -8 -9 -8 -7 -6 -7 -8 -7 -6 -7 -6 -5 -6 -5 -6 -5 -6 -5 [145] -4 -5 -4 -3 -2 -1 -2 -3 -2 -1 -2 -1 0 1 0 1 2 1 [163] 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 0 -1 0 1 2 1 [181] 2 1 2 1 0 1 2 1 2 3 2 1 2 1 2 3 2 1 [199] 0 -1 -2 -3 -2 -1 -2 -3 -2 -3 -2 -3 -4 -5 -4 -3 -2 -1 [217] -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -2 -1 0 -1 -2 -1 -2 -3 [235] -2 -1 -2 -1 -2 -1 0 -1 -2 -3 -2 -3 -2 -3 -4 -5 -4 -3 [253] -4 -3 -4 -5 -4 -5 -6 -5 -6 -7 -8 -7 -8 -9 -8 -7 -8 -9 [271] -8 -7 -6 -7 -6 -7 -8 -9 -8 -7 -8 -9 -8 -9 -10 -11 -10 -11 [289] -12 -13 -12 -11 -10 -9 -8 -9 -10 -9 -10 -9 -8 -9 -8 -9 -8 -7 [307] -8 -9 -8 -7 -8 -7 -6 -5 -6 -7 -8 -7 -8 -7 -6 -5 -4 -3 [325] -4 -5 -4 -5 -6 -5 -4 -5 -4 -5 -6 -5 -6 -7 -6 -5 -6 -7 [343] -6 -5 -4 -5 -4 -5 -4 -5 -4 -5 -4 -3 -2 -1 -2 -1 -2 -3 [361] -2 -3 -4 -5 -6 -7 -8 -7 -8 -9 -8 -9 -8 -7 -8 -9 -8 -9 [379] -8 -7 -6 -7 -6 -7 -8 -9 -8 -7 -6 -7 -6 -5 -4 -5 -4 -3 [397] -4 -5 -6 -5 -4 -5 -6 -7 -6 -5 -4 -5 -4 -3 -4 -5 -4 -3 [415] -4 -5 -6 -7 -6 -7 -8 -7 -8 -7 -8 -7 -6 -5 -4 -3 -2 -1 [433] -2 -1 -2 -3 -2 -3 -2 -1 -2 -1 -2 -3 -2 -3 -2 -1 -2 -1 [451] -2 -3 -4 -5 -6 -7 -8 -9 -8 -7 -6 -7 -6 -7 -6 -5 -6 -7 [469] -6 -7 -8 -7 -6 -5 -4 -3 -4 -3 -4 -5 -6 -7 -8 -7 -8 -9 [487] -8 -7 -8 -9 -8 -7 -8 -9 -10 -11 -12 -11 -12 -13 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2s6v81228221791.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] 4.501648e+01 3.768156e+02 4.820019e+02 4.613585e+02 2.164554e+02 [6] 1.942432e+02 6.329647e-01 3.456641e+01 1.577169e+01 9.127545e+01 [11] 1.380493e+01 1.337331e+02 5.211979e+01 1.803138e+01 9.155087e+00 [16] 2.331682e+00 6.827076e+00 5.699205e+01 5.951150e-01 2.308941e+01 [21] 3.994540e+00 1.300651e+00 4.629997e+00 7.217764e-01 8.444940e+00 [26] 1.460827e+01 2.682020e+00 1.445129e+01 4.525362e+00 2.569940e+01 [31] 1.163798e+00 2.848503e-01 3.533838e+00 9.659889e-01 3.486475e-01 [36] 8.875983e-02 1.265044e+01 1.093360e+01 7.863191e-01 6.976372e-01 [41] 8.919965e-01 2.892902e+00 7.027824e+00 2.142513e-01 4.271060e+00 [46] 2.543500e+00 4.756105e+00 1.804246e+00 8.537436e-01 9.730610e-01 [51] 2.485520e+00 9.289668e+00 6.829212e-01 2.125297e-01 3.440875e-01 [56] 2.033572e-01 2.930431e-01 2.691585e+00 1.759528e+00 4.471174e+00 [61] 3.941664e-01 2.496319e-01 2.168783e+00 9.266511e-01 5.062716e-02 [66] 4.080693e-01 2.250150e-01 5.660330e-02 1.471823e+00 9.148143e-01 [71] 9.949829e-01 1.228006e+00 7.832323e-01 3.935313e+00 1.747573e+00 [76] 2.211214e+00 1.261765e+00 4.971040e+00 7.390605e-01 1.064864e+00 [81] 2.724783e-01 2.388567e+00 1.795145e+00 8.829689e-02 3.195039e-01 [86] 6.603793e-04 1.240663e+00 4.089478e-01 1.533579e+00 4.407760e-01 [91] 2.353498e-01 1.341036e+00 1.120447e+00 4.496500e-01 2.493546e-01 [96] 6.245833e-01 2.873765e-01 7.767558e-02 1.777717e-01 8.617795e-01 [101] 5.028910e-01 5.510579e-01 9.784421e-01 3.750087e-02 2.856584e-01 [106] 6.842167e-03 6.683759e-01 3.270754e-01 3.135830e+00 1.602824e-01 [111] 8.817249e-01 7.651369e-01 1.008133e-01 1.043898e+00 1.191850e+00 [116] 1.167781e+00 8.773228e-01 4.952573e-01 7.480152e-01 9.273563e-02 [121] 1.015066e+00 2.348529e-01 2.619419e-01 4.222915e-01 3.750173e-01 [126] 2.078307e-01 3.982067e-01 1.033916e+00 1.140554e-01 9.205229e-01 [131] 9.069750e-01 2.520002e-01 7.556878e-01 2.435405e+00 1.228483e-01 [136] 2.541172e-02 7.847573e-02 1.069674e+00 8.651624e-01 2.881039e-02 [141] 2.148238e-01 1.093460e-01 5.444721e-01 2.896463e-01 9.580570e-01 [146] 1.244878e-02 1.072805e-01 9.250362e-03 9.854156e-02 3.448719e-01 [151] 5.136053e-01 1.733269e-01 6.464735e-01 1.541099e+00 5.498449e-01 [156] 3.769647e-01 5.104887e-01 9.631324e-01 9.342636e-01 4.052914e-02 [161] 9.031871e-02 7.588044e-01 1.023164e+00 2.718382e-01 5.396489e-02 [166] 6.857718e-01 1.642514e-01 2.725264e-01 8.651218e-01 8.803911e-01 [171] 2.905130e-01 5.077247e-01 2.098913e-02 5.987360e-01 1.599284e-02 [176] 2.792832e-01 4.600643e-01 3.423536e-01 7.984561e-03 5.231958e-02 [181] 4.570680e-02 1.092283e-02 4.637902e-01 5.354397e-01 1.227313e-01 [186] 1.810882e-01 1.686581e-01 3.010045e-01 4.602407e-01 6.221702e-01 [191] 3.527004e-01 1.394760e-01 3.083121e-02 5.671891e-01 7.153655e-01 [196] 2.014413e-01 9.067283e-01 4.275566e-01 4.299354e-01 1.348254e-01 [201] 1.722660e-01 2.722695e-02 2.854077e-01 8.117962e-02 6.071051e-02 [206] 5.097019e-01 1.526245e-02 1.467329e-01 3.380973e-02 6.576937e-02 [211] 8.762550e-02 9.662253e-02 1.555229e-01 1.746547e-01 4.404311e-01 [216] 9.592473e-02 6.093686e-01 7.123843e-01 9.488504e-02 1.071171e-01 [221] 2.531155e-02 1.692654e-02 2.685131e-02 3.591533e-01 5.515911e-01 [226] 6.202249e-02 2.426952e-01 5.472245e-02 3.760632e-01 3.757262e-01 [231] 1.223935e-02 7.162951e-01 3.892800e-02 1.682151e-01 3.414247e-01 [236] 2.244515e-01 1.933814e-01 7.006888e-04 2.251642e-01 3.049770e-02 [241] 9.430766e-01 3.075632e-01 1.256802e-01 3.651686e-02 1.031727e+00 [246] 1.850795e-01 3.065674e-01 3.665978e-02 2.704784e-01 2.645555e-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/3jfno1228221791.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/1l6ei1228221791.ps tmp/1l6ei1228221791.png") > system("convert tmp/2s6v81228221791.ps tmp/2s6v81228221791.png") > system("convert tmp/3jfno1228221791.ps tmp/3jfno1228221791.png") > > > proc.time() user system elapsed 0.836 0.602 1.175