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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/1rw9f1228175205.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 4 5 6 7 8 9 8 7 6 5 4 5 6 5 6 7 8 [26] 9 8 9 8 9 8 9 10 9 10 9 10 11 10 9 10 11 12 13 12 11 12 11 12 11 [51] 10 9 8 9 10 9 10 11 12 11 10 11 10 9 8 7 6 5 6 7 6 5 4 5 6 [76] 7 8 9 10 9 8 7 8 9 10 11 10 9 10 9 10 11 10 11 10 11 12 13 12 13 [101] 12 13 14 15 14 15 14 15 16 15 14 15 16 15 14 13 14 13 14 13 14 13 14 13 12 [126] 11 12 13 14 13 12 13 14 13 12 11 12 13 14 15 14 15 14 13 12 11 12 13 12 13 [151] 12 13 14 15 16 17 18 17 16 17 16 15 16 15 14 13 14 13 14 15 14 15 14 13 12 [176] 11 10 11 12 13 12 13 14 15 14 15 14 13 14 13 14 13 14 15 16 15 16 15 14 15 [201] 14 15 16 17 16 15 14 15 16 17 16 15 16 17 16 15 16 17 18 19 18 19 18 17 16 [226] 17 18 17 18 19 20 19 18 19 20 19 20 19 18 17 18 17 18 17 18 17 16 17 16 15 [251] 14 13 12 11 12 13 12 11 12 11 10 9 8 7 8 9 10 11 10 9 10 11 12 11 12 [276] 11 10 9 10 11 12 13 12 13 14 15 16 17 18 19 18 19 20 21 20 19 18 19 18 19 [301] 18 19 18 19 18 17 16 17 18 17 18 19 20 21 22 23 24 23 22 23 24 25 24 23 22 [326] 21 22 21 22 21 22 21 22 23 24 25 24 23 24 23 24 23 24 23 22 23 24 25 26 27 [351] 26 27 26 27 26 27 26 27 26 27 26 27 26 25 24 25 24 23 22 21 22 23 24 23 22 [376] 23 22 21 22 23 22 21 20 19 20 19 20 21 20 19 18 19 20 21 22 21 22 21 22 23 [401] 24 25 24 25 24 25 24 25 26 25 26 27 28 29 30 31 30 29 28 27 26 27 26 25 24 [426] 23 22 23 24 25 24 25 24 25 24 25 24 25 24 25 24 25 24 23 22 21 22 23 22 23 [451] 24 25 24 25 24 25 24 25 24 25 26 25 24 25 24 23 24 23 22 23 24 25 26 27 26 [476] 25 26 27 28 29 28 29 28 29 30 29 30 31 30 31 32 33 34 33 34 33 32 31 32 31 > x <- b > postscript(file="/var/www/html/rcomp/tmp/243301228175205.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] 6.087832e+01 2.812900e+02 2.817596e+02 1.430153e+02 4.620685e+02 [6] 3.045575e+01 2.510424e+00 4.703556e+02 9.133654e+00 4.829869e+01 [11] 4.266370e+01 4.995098e+01 7.516690e+00 1.754579e+00 1.318475e+01 [16] 2.085439e+01 7.358619e+00 1.406904e+01 2.142523e+01 1.303566e+01 [21] 1.402998e+01 6.985098e+00 2.511147e+00 2.478660e+01 2.892826e+01 [26] 3.352950e+00 1.095453e+01 3.811358e+00 1.971410e+00 9.365911e-01 [31] 2.022524e+01 1.954524e+00 7.503321e+00 2.910670e+00 6.413702e+00 [36] 2.767658e+00 2.016097e+00 7.426554e+00 9.576175e+00 1.281324e+00 [41] 6.338820e+00 2.131861e-01 3.203187e+00 1.485277e+00 1.561438e+00 [46] 2.658091e-01 4.923509e+00 2.769139e+00 1.068094e+00 1.883140e+00 [51] 5.834960e-01 1.356345e+00 9.107470e-01 1.756674e+00 4.551649e+00 [56] 3.949760e+00 1.277598e+00 1.282339e+00 1.344262e+00 1.099180e+00 [61] 5.041513e-01 1.615249e+00 3.281022e+00 2.010044e+00 1.748307e+00 [66] 1.128662e+00 8.239313e-01 1.230172e+00 3.249857e+00 3.817948e+00 [71] 7.155490e+00 8.280724e-01 1.650519e-01 2.823006e+00 2.582567e+00 [76] 4.158559e+00 1.792485e-01 2.920642e-01 1.014362e+00 2.902236e+00 [81] 3.320014e-01 5.729981e-01 1.036231e+00 1.209836e+00 9.217723e-01 [86] 4.540793e-01 1.825739e-01 7.621310e-01 5.653147e-01 2.262761e-01 [91] 2.952739e-01 3.664342e-01 1.069438e+00 1.729560e+00 2.864814e-03 [96] 9.456713e-01 5.649006e-01 7.324641e-01 1.947782e+00 1.449459e+00 [101] 7.523658e-01 5.545905e-01 3.466654e-01 2.100157e-01 1.763126e+00 [106] 4.892140e-01 1.863298e-01 1.715244e-01 2.675417e-01 3.781054e-01 [111] 2.284958e+00 1.053432e+00 7.342198e-02 1.280215e-01 1.146273e-01 [116] 1.068011e-01 3.722943e-01 4.641108e-01 5.579285e-01 1.423129e+00 [121] 8.786181e-01 4.550140e-01 8.103769e-02 2.677864e-01 4.323280e-02 [126] 1.745680e-01 5.577161e-01 7.230967e-01 6.091108e-01 3.537963e-01 [131] 2.996283e-02 6.583953e-01 3.098849e-01 5.989376e-01 9.680160e-02 [136] 2.616504e-01 5.650618e-01 2.268346e-02 1.531747e-02 2.452710e-01 [141] 1.953978e-01 1.069128e-01 5.225690e-01 7.221200e-01 5.615279e-02 [146] 1.085634e-01 2.670555e-01 1.354038e+00 8.661330e-02 1.208501e-01 [151] 5.459457e-01 6.772510e-02 8.027828e-01 4.746186e-01 4.095120e-02 [156] 3.355354e-01 3.066339e-02 4.508599e-01 1.180285e-02 3.575170e-01 [161] 2.744995e-01 1.658164e-01 3.305180e-01 2.840541e-02 8.536752e-02 [166] 5.471318e-02 2.094416e-01 2.889720e-01 2.314529e-01 3.572098e-01 [171] 1.388335e-02 2.434833e-02 1.369318e-03 7.163930e-02 2.147696e-01 [176] 7.120657e-01 2.416974e-01 3.540082e-01 3.987830e-01 2.349945e-01 [181] 1.892043e-02 1.116135e-02 6.537700e-01 5.050692e-01 1.467752e-01 [186] 2.520934e-01 1.755746e-01 4.870782e-01 2.853268e-01 5.117918e-02 [191] 1.059960e-02 4.270190e-02 3.780490e-01 2.007378e-01 5.603350e-02 [196] 3.451331e-02 3.926268e-02 3.036037e-01 1.850668e-01 4.704989e-01 [201] 4.587032e-02 6.967247e-02 4.772041e-02 9.876282e-01 1.633008e-01 [206] 7.415020e-01 3.356815e-02 3.445679e-02 5.228744e-01 9.036243e-03 [211] 3.705327e-01 6.869934e-02 2.058655e-01 7.549221e-01 4.614150e-02 [216] 3.658489e-01 5.351683e-02 4.352661e-01 9.688201e-02 4.174696e-01 [221] 9.902469e-01 1.446669e-02 1.470423e-02 3.318110e-01 1.277541e-01 [226] 1.336906e-02 3.700858e-02 2.723550e-01 1.315507e-01 9.375544e-01 [231] 2.238480e-01 3.182594e-01 6.247749e-02 8.425806e-02 3.248714e-02 [236] 9.996805e-01 9.123599e-01 6.878397e-01 1.061592e-01 8.008711e-01 [241] 3.242926e-01 3.948862e-01 1.846044e+00 6.134710e-01 7.997087e-02 [246] 4.868109e-01 1.728165e-01 4.046719e-01 5.961060e-01 6.190565e-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/36asb1228175205.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/1rw9f1228175205.ps tmp/1rw9f1228175205.png") > system("convert tmp/243301228175205.ps tmp/243301228175205.png") > system("convert tmp/36asb1228175205.ps tmp/36asb1228175205.png") > > > proc.time() user system elapsed 0.806 0.599 0.973