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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/19zpa1227820477.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 2 3 2 1 0 -1 0 1 2 1 0 1 0 1 2 [26] 3 4 5 6 7 8 7 8 9 10 9 8 7 6 7 8 7 8 9 10 9 10 11 12 13 [51] 12 13 12 13 14 13 12 13 12 11 12 11 12 13 12 13 12 13 14 13 14 15 16 17 16 [76] 17 18 17 16 17 16 15 14 13 12 13 12 13 14 15 14 13 12 11 12 11 12 13 14 13 [101] 12 11 10 9 8 7 6 7 8 9 8 9 10 11 12 11 12 13 14 15 14 15 14 15 14 [126] 15 14 13 14 15 14 13 14 13 14 15 14 15 14 15 16 17 18 19 20 21 22 23 24 23 [151] 22 21 22 23 24 25 24 23 24 23 24 25 24 25 24 23 22 23 22 23 24 25 26 25 26 [176] 25 26 25 24 23 22 23 24 25 26 27 28 27 28 27 28 27 28 27 28 27 26 27 28 27 [201] 28 27 26 27 26 27 28 29 30 29 30 31 32 33 34 33 34 35 34 35 36 37 36 37 36 [226] 37 38 37 36 35 36 35 34 35 36 35 34 33 34 33 34 33 32 31 32 31 30 29 28 29 [251] 30 29 28 27 28 27 28 27 26 27 26 27 26 27 28 29 30 31 30 29 28 27 26 27 26 [276] 27 28 29 28 27 28 27 28 29 30 31 32 31 30 31 32 33 34 33 34 35 34 35 36 35 [301] 36 35 34 35 36 37 38 39 38 39 40 41 40 39 40 39 38 37 38 37 38 39 40 41 40 [326] 39 40 39 38 39 40 39 40 41 42 43 42 41 42 43 44 43 42 43 42 43 42 41 42 41 [351] 40 41 40 39 40 41 42 41 42 41 40 41 42 41 42 41 42 41 42 43 44 45 44 43 42 [376] 43 44 43 44 45 44 43 44 45 44 43 42 41 40 39 40 41 40 39 38 39 40 39 38 39 [401] 40 41 40 39 38 37 38 37 38 39 40 41 40 39 40 39 38 37 38 39 38 37 36 35 34 [426] 35 36 37 36 37 38 39 38 39 40 39 38 37 36 37 36 35 34 33 32 33 32 33 32 33 [451] 34 35 34 33 32 33 32 31 30 31 30 29 28 27 28 29 28 29 28 27 28 29 28 29 30 [476] 31 32 33 34 35 36 35 34 33 32 33 34 35 36 37 36 35 34 35 34 33 34 35 36 35 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2sia51227820477.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] 3.641932e+03 1.717722e+02 2.231292e+03 5.508545e+01 6.491704e+01 [6] 6.237810e+02 3.737976e+02 5.896243e+01 3.928459e+01 5.224560e+01 [11] 1.144001e+01 2.918744e-01 4.121067e+01 8.871993e+01 1.290434e+01 [16] 1.957569e+01 1.017169e+00 7.877930e+00 8.140326e-01 2.294745e+00 [21] 1.025141e+02 8.127456e+00 3.159553e+00 9.738333e+00 1.855200e+01 [26] 1.153536e+01 9.560302e+00 3.035754e+00 3.195539e+00 2.337806e+00 [31] 6.163704e+00 1.287010e+00 1.042029e+01 6.008610e+00 5.045419e-01 [36] 1.455757e+01 5.186404e+00 4.893361e+00 2.402612e-01 4.841384e+00 [41] 5.141711e+00 2.360410e+00 4.531712e+00 1.400882e+00 9.424434e+00 [46] 1.117305e+00 8.431324e-01 3.179689e+00 1.248448e+00 8.939666e-02 [51] 5.853208e+00 1.597043e+00 6.632881e+00 2.451965e+00 2.677391e-01 [56] 3.403521e+00 1.008699e+00 3.239506e-01 2.100087e+00 5.599273e-01 [61] 4.026956e-01 4.904040e+00 1.074670e+00 2.763623e+00 2.203322e-01 [66] 1.670343e+00 1.099254e+00 4.863407e-01 1.754673e+00 6.500769e+00 [71] 5.426928e-01 3.447133e-01 8.933482e-01 8.507229e-01 7.807016e-02 [76] 1.108055e+00 1.888147e+00 1.957838e-01 1.043421e+00 6.953642e-01 [81] 5.739223e-01 1.303768e+00 1.212422e+00 5.389128e-01 3.217585e-02 [86] 7.200261e-01 3.458239e-01 1.274373e+00 1.332240e+00 7.895495e-01 [91] 2.747443e-01 1.760261e-01 1.541133e-03 5.659919e-02 2.184243e+00 [96] 7.291874e-02 1.484396e-01 3.436140e-01 2.188766e+00 1.922729e+00 [101] 2.920738e+00 8.051297e-01 4.558016e-01 6.686839e-02 6.828077e-01 [106] 4.598718e-01 6.660229e-01 2.559984e-01 1.707485e+00 9.402166e-01 [111] 6.092497e-01 5.009557e-01 2.947075e-01 1.266319e+00 1.264100e-01 [116] 3.953957e-01 8.484070e-01 1.536167e-01 2.477762e-02 9.441167e-01 [121] 1.891450e-01 8.665406e-02 1.647845e-02 2.435036e+00 7.702587e-01 [126] 5.068259e-01 4.295950e-01 3.537516e-02 4.591121e-01 4.796184e-01 [131] 2.949805e-01 1.468109e-01 3.171871e-01 7.521604e-02 1.577715e-01 [136] 1.972550e-01 1.883144e-01 4.996602e-01 1.634280e-02 7.674595e-01 [141] 4.032957e-01 4.997699e-01 2.021168e-02 1.272600e-01 6.791675e-02 [146] 4.316436e-01 2.107697e-01 7.276359e-01 1.016574e-01 1.665482e-01 [151] 4.102392e-01 1.257294e+00 1.823437e-01 6.597505e-02 8.285410e-02 [156] 1.618463e-01 1.612359e-01 1.396312e-01 1.021318e+00 9.922900e-01 [161] 1.211500e-01 2.441032e-01 2.419239e-01 2.030776e-01 4.024589e-01 [166] 5.784042e-02 9.812829e-02 5.017544e-01 4.240783e-01 4.774767e-01 [171] 7.032837e-03 4.101003e-01 9.709339e-02 1.036837e+00 3.478275e-01 [176] 1.620508e-01 1.677664e-01 9.546889e-01 7.036863e-01 3.360745e-01 [181] 6.961230e-02 6.161375e-01 1.422470e-01 2.072607e-02 2.170073e-01 [186] 1.091184e-01 5.567792e-01 2.041154e-01 7.836511e-01 2.341483e-01 [191] 6.321715e-02 5.603707e-01 1.677954e-01 4.453643e-01 9.659993e-02 [196] 5.588918e-01 6.681019e-01 1.749884e-01 3.817425e-01 7.353484e-02 [201] 2.692130e-02 5.517158e-02 6.474183e-02 4.793450e-02 5.289166e-03 [206] 6.218000e-02 3.557841e-01 1.673927e-01 2.485290e-01 4.525784e-01 [211] 2.794806e-01 3.507945e-01 1.900083e-01 1.095671e+00 3.041344e-01 [216] 1.319627e-01 4.149156e-01 3.548018e-01 2.977049e-01 1.604653e-01 [221] 2.653067e-01 1.259046e-01 3.676067e-01 4.455977e-01 6.315390e-01 [226] 4.479496e-01 1.625674e-01 3.348670e-02 4.396344e-02 1.422373e-01 [231] 1.768435e-01 7.301767e-02 1.950861e-01 9.657430e-02 3.974985e-03 [236] 2.064832e-01 1.393861e-01 4.088001e-01 6.787069e-01 1.816089e-01 [241] 5.270171e-01 2.936298e-01 1.125264e-01 4.857984e-02 1.151681e-01 [246] 1.338135e-02 8.865890e-01 9.790420e-03 5.032910e-01 4.388505e-03 $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/3mn8j1227820477.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/19zpa1227820477.ps tmp/19zpa1227820477.png") > system("convert tmp/2sia51227820477.ps tmp/2sia51227820477.png") > system("convert tmp/3mn8j1227820477.ps tmp/3mn8j1227820477.png") > > > proc.time() user system elapsed 0.863 0.650 1.082