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Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > 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/1ybis1228219605.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 -2 -1 -2 -1 0 -1 0 1 2 1 2 3 2 3 [19] 2 1 0 1 0 1 0 -1 0 1 0 -1 -2 -3 -4 -5 -4 -5 [37] -4 -3 -2 -3 -2 -3 -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 -2 -1 [55] -2 -3 -2 -1 0 -1 -2 -1 -2 -1 -2 -3 -2 -3 -2 -3 -4 -5 [73] -4 -3 -2 -3 -2 -1 0 1 2 1 0 1 2 1 2 3 2 1 [91] 0 -1 0 1 2 1 2 1 2 3 4 5 4 5 4 3 2 1 [109] 0 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -3 -4 -5 -6 -7 [127] -8 -7 -8 -9 -8 -9 -8 -7 -6 -5 -4 -5 -6 -7 -6 -7 -6 -7 [145] -6 -7 -8 -9 -8 -7 -8 -9 -8 -7 -6 -5 -4 -5 -6 -7 -6 -5 [163] -4 -5 -4 -3 -2 -1 0 -1 0 -1 -2 -3 -4 -5 -6 -7 -6 -5 [181] -6 -5 -4 -5 -4 -5 -4 -5 -4 -5 -6 -7 -8 -7 -8 -7 -6 -7 [199] -8 -9 -8 -7 -8 -9 -8 -7 -6 -7 -6 -5 -4 -5 -6 -7 -6 -5 [217] -6 -7 -8 -7 -8 -7 -8 -9 -8 -7 -8 -7 -6 -7 -8 -7 -6 -5 [235] -6 -7 -8 -9 -8 -7 -6 -5 -6 -7 -6 -7 -8 -7 -6 -5 -4 -5 [253] -4 -5 -4 -5 -4 -5 -4 -5 -4 -5 -6 -5 -4 -3 -4 -3 -2 -1 [271] 0 -1 -2 -3 -2 -3 -4 -3 -2 -1 0 -1 0 1 0 1 0 1 [289] 0 -1 0 -1 0 -1 0 1 2 1 0 1 2 1 0 -1 -2 -1 [307] 0 1 0 1 2 3 4 3 4 5 4 3 4 3 4 5 4 3 [325] 4 3 2 1 2 1 0 1 0 -1 0 -1 0 1 2 3 4 3 [343] 2 3 2 1 0 -1 -2 -3 -2 -3 -4 -3 -4 -5 -4 -5 -6 -7 [361] -6 -7 -6 -5 -6 -7 -6 -5 -4 -5 -6 -7 -8 -7 -8 -7 -8 -7 [379] -8 -7 -6 -5 -6 -5 -6 -7 -6 -5 -4 -3 -4 -5 -4 -5 -6 -7 [397] -6 -7 -6 -5 -6 -7 -8 -7 -8 -9 -10 -9 -10 -9 -10 -9 -8 -7 [415] -8 -7 -8 -7 -8 -9 -10 -9 -8 -7 -6 -7 -6 -5 -4 -5 -4 -5 [433] -6 -5 -6 -5 -4 -3 -2 -1 -2 -1 0 -1 0 -1 0 1 0 1 [451] 2 3 4 3 4 3 4 3 4 3 2 3 2 1 2 1 2 1 [469] 2 3 4 5 6 7 8 9 10 9 8 7 6 7 6 7 6 7 [487] 6 7 6 7 8 9 8 7 6 5 4 5 4 3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2u55c1228219606.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] 2.161957e+02 1.120224e+03 7.962824e+02 5.720521e+02 7.471901e+01 [6] 3.933951e+01 2.876594e+02 5.864201e+01 8.310462e+01 1.199436e+00 [11] 8.001250e+00 1.811234e+01 1.464486e+01 2.241049e+01 1.014580e+01 [16] 4.106597e+00 1.072909e+01 1.118640e+01 5.414246e+01 8.157103e+00 [21] 1.714572e+00 1.175631e+01 4.246466e+01 1.086393e+01 1.441547e+00 [26] 2.041539e+00 1.675393e+01 7.795587e+00 3.162669e+00 7.826965e+00 [31] 1.543729e+01 9.389942e-01 7.368178e-01 1.198145e+01 3.033294e+01 [36] 2.152632e+00 1.873577e+00 1.096792e+00 6.601234e+00 1.960665e+00 [41] 1.351024e+01 1.399816e-02 6.962701e+00 1.204024e+00 3.743844e-01 [46] 9.778032e-01 3.369981e+00 7.315377e-01 6.905162e-01 2.741485e+00 [51] 1.308839e+00 3.304394e-01 9.763072e-02 1.975298e+00 2.399442e-01 [56] 1.172087e+00 4.563388e+00 2.767169e+00 2.370315e+00 3.878975e-01 [61] 3.594168e+00 9.728322e-01 1.100632e-01 2.329490e+00 7.066958e-01 [66] 6.246845e+00 4.949951e-01 8.357382e-01 2.521554e-01 1.674861e-01 [71] 1.194659e+00 2.427467e-01 2.322657e+00 1.629350e+00 1.364775e+00 [76] 3.922248e-01 6.661560e-01 1.408930e+00 1.419218e-01 1.274691e+00 [81] 7.709903e-01 5.446527e+00 4.713612e-02 7.457852e-01 1.001181e+00 [86] 5.611980e-01 1.629046e-01 3.183151e-01 2.051838e-01 1.599701e+00 [91] 4.056563e-01 7.474723e-01 2.799329e-01 6.790163e-01 3.894338e-01 [96] 1.522199e-01 2.167804e+00 1.902853e-01 2.501776e+00 4.257868e-01 [101] 1.153396e+00 1.704588e+00 1.291648e+00 8.171088e-01 3.652666e-01 [106] 7.678624e-01 4.955555e-01 4.106030e-01 1.380566e+00 4.074349e-01 [111] 8.215192e-01 7.775607e-01 4.120561e-03 8.275770e-01 1.544623e+00 [116] 1.384446e+00 3.992423e-02 3.514095e-01 3.455184e-01 6.257746e-01 [121] 2.342063e-01 2.619582e-01 1.901636e-01 1.496232e-01 5.734647e-01 [126] 1.163177e+00 1.485658e-01 8.242486e-01 2.866217e-01 3.541475e-01 [131] 1.002837e+00 9.253024e-02 1.188240e-01 9.772186e-02 4.747399e-02 [136] 5.363833e-01 8.943013e-03 1.138868e-01 4.576556e-01 3.946933e-01 [141] 8.965521e-01 5.125441e-03 3.675640e-01 1.137129e-01 1.230336e-01 [146] 5.820832e-03 1.646754e-01 2.063375e-01 1.517182e-01 3.380481e-01 [151] 3.260197e-01 1.787887e+00 5.493067e-02 3.312208e-01 1.056167e+00 [156] 8.119807e-01 5.102441e-01 6.447203e-02 1.564822e-01 1.180630e+00 [161] 1.934220e-01 5.887663e-01 1.251498e-01 1.351347e-01 5.855341e-02 [166] 1.175532e-02 8.085570e-03 8.715670e-02 1.481587e-01 3.050490e-01 [171] 7.576016e-02 2.373883e-01 7.945372e-01 2.684394e-01 5.617205e-01 [176] 4.390241e-02 5.989437e-01 1.069127e-01 5.877374e-02 5.960605e-02 [181] 6.608317e-02 4.491832e-01 7.502562e-01 3.112971e-01 5.070388e-01 [186] 1.995009e-01 1.531290e-01 4.674657e-01 3.376811e-01 9.688021e-04 [191] 9.159856e-02 3.611599e-01 1.313576e-01 1.565005e-02 1.179756e-01 [196] 6.975454e-01 5.798463e-01 3.076771e-01 2.835795e-01 1.050544e-01 [201] 1.872669e-01 2.280846e-02 2.177282e-01 8.142948e-01 6.948867e-02 [206] 1.624544e-01 1.025396e+00 8.758381e-02 5.880769e-02 1.015183e-01 [211] 2.233463e-01 1.294080e-01 3.379053e-01 1.961137e-02 6.840046e-01 [216] 1.367649e-01 2.934149e-01 2.165255e-01 7.627300e-03 1.115389e-01 [221] 1.709676e-01 7.380312e-02 5.175769e-01 2.978806e-02 2.007178e-01 [226] 2.774245e-02 1.005062e+00 6.992455e-01 1.865077e-01 5.344883e-02 [231] 6.700890e-02 2.036342e-01 3.893254e-01 3.228187e-01 5.209419e-01 [236] 1.153646e+00 3.003083e-01 1.511288e-01 1.025484e-01 3.832228e-01 [241] 2.662709e-01 4.523842e-01 3.803626e-02 3.290915e-02 1.261714e+00 [246] 2.613258e-01 2.731640e-01 9.328652e-02 3.597448e-01 8.804989e-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/3zsa31228219606.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/1ybis1228219605.ps tmp/1ybis1228219605.png") > system("convert tmp/2u55c1228219606.ps tmp/2u55c1228219606.png") > system("convert tmp/3zsa31228219606.ps tmp/3zsa31228219606.png") > > > proc.time() user system elapsed 0.815 0.589 0.993