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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/1ghbs1228054689.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 -3 -2 -3 -4 -5 [19] -6 -7 -8 -9 -8 -7 -8 -7 -6 -7 -6 -7 -6 -7 -8 -9 -8 -9 [37] -8 -7 -6 -5 -4 -3 -4 -5 -4 -5 -6 -5 -4 -5 -4 -3 -2 -1 [55] 0 -1 -2 -3 -2 -1 0 -1 -2 -3 -2 -1 0 1 2 1 2 3 [73] 4 3 4 3 2 1 2 1 2 3 2 3 2 3 4 3 4 5 [91] 4 3 4 3 4 5 4 3 2 1 2 3 2 1 2 1 0 1 [109] 2 3 2 3 4 3 2 1 2 1 2 1 2 1 0 1 2 3 [127] 4 3 2 3 2 1 2 3 4 5 6 7 8 7 6 7 6 5 [145] 4 5 6 5 6 7 8 7 8 7 8 7 8 9 10 11 12 11 [163] 10 11 10 9 8 9 8 9 10 11 12 11 10 9 10 9 8 9 [181] 10 11 10 11 12 13 14 15 14 15 16 17 16 17 18 19 18 19 [199] 18 17 16 15 16 15 14 13 14 15 14 13 12 11 10 11 12 13 [217] 12 13 14 15 16 15 14 13 14 13 12 13 12 11 10 9 10 11 [235] 12 11 12 11 12 13 12 13 14 13 12 13 12 13 12 11 10 9 [253] 10 9 8 7 6 7 6 7 6 5 4 5 6 5 4 5 4 5 [271] 6 7 8 7 6 5 4 5 4 5 6 5 4 3 4 5 4 5 [289] 4 5 4 3 4 3 2 1 0 -1 -2 -1 0 1 0 -1 -2 -3 [307] -4 -5 -4 -5 -4 -5 -6 -7 -8 -9 -10 -11 -12 -11 -10 -11 -12 -11 [325] -10 -11 -10 -11 -12 -11 -12 -13 -14 -15 -16 -15 -16 -15 -16 -17 -16 -17 [343] -18 -17 -16 -17 -16 -15 -16 -15 -16 -17 -16 -17 -16 -15 -14 -15 -16 -15 [361] -16 -17 -16 -15 -14 -13 -14 -15 -14 -15 -16 -17 -16 -17 -18 -17 -18 -19 [379] -18 -19 -20 -19 -20 -19 -18 -19 -20 -19 -18 -19 -18 -17 -16 -17 -18 -17 [397] -18 -17 -18 -17 -16 -17 -18 -19 -20 -19 -18 -19 -20 -21 -20 -21 -22 -23 [415] -22 -21 -20 -21 -20 -19 -20 -19 -20 -19 -20 -19 -18 -19 -18 -19 -20 -21 [433] -22 -23 -24 -23 -22 -21 -20 -21 -22 -21 -22 -21 -22 -21 -20 -19 -18 -19 [451] -18 -19 -18 -17 -18 -19 -20 -19 -18 -19 -18 -17 -18 -19 -18 -17 -18 -17 [469] -18 -19 -18 -17 -18 -17 -18 -17 -16 -15 -16 -17 -18 -19 -20 -19 -18 -19 [487] -20 -21 -20 -21 -20 -19 -18 -19 -18 -17 -16 -17 -16 -15 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2g7ej1228054689.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] 1.334211e+04 4.907779e+03 8.946712e+01 1.449988e+02 7.756903e+02 [6] 2.389011e+01 1.520812e+02 1.012091e+01 7.008323e+01 3.421857e+01 [11] 5.434237e+01 1.596496e+01 2.997296e+01 3.445810e+00 1.928400e+01 [16] 2.833956e+00 5.253702e+01 2.258775e+01 2.941197e+01 2.673136e+01 [21] 2.903827e+00 3.477083e+00 1.657915e+01 1.806243e+01 2.310674e+00 [26] 5.551082e+00 5.614758e+00 9.268889e-01 2.402490e+00 1.539763e+01 [31] 4.157960e+00 1.048278e-01 1.843528e+00 4.122654e+00 3.516342e+00 [36] 1.561655e+00 9.961656e+00 3.369471e-01 4.116842e+00 4.100611e+00 [41] 8.769822e+00 4.628254e+00 1.025026e+01 1.155575e+00 7.476453e+00 [46] 6.293286e+00 1.943970e+00 4.993294e+00 1.020412e+00 2.924064e+00 [51] 4.850072e-01 2.838575e+00 6.701741e-01 6.468561e+00 4.012824e+00 [56] 1.125889e+00 4.007773e+00 5.404755e-02 1.081256e+00 5.100546e-01 [61] 2.185514e-01 3.508103e-01 1.214425e+00 1.147022e+00 8.169533e-01 [66] 5.976542e+00 3.594632e-01 1.694655e+00 2.048842e+00 1.368950e+00 [71] 3.306870e+00 6.365078e-01 1.181090e+00 3.959383e-01 2.587984e+00 [76] 7.845804e-01 3.372085e-01 2.676058e+00 3.325780e-01 1.350403e+00 [81] 1.368829e+00 4.558387e-01 2.912377e-01 8.268153e-01 2.977615e+00 [86] 5.156022e-02 4.467815e-02 3.545371e-01 1.133837e+00 9.728711e-01 [91] 6.775119e-01 2.531332e-01 1.150349e-01 7.708563e-01 4.857373e-01 [96] 6.558260e-01 5.151380e-05 1.954599e+00 2.226967e-01 5.035253e-01 [101] 8.535537e-02 1.614967e-01 4.026930e-01 7.619958e-01 9.298225e-01 [106] 6.117065e-02 8.210867e-01 5.491055e-01 8.014355e-01 1.964519e-01 [111] 7.983870e-01 4.938540e-02 1.485934e-01 6.870026e-01 1.148754e+00 [116] 2.081135e+00 6.279889e-01 8.516110e-02 5.481116e-01 2.237592e-01 [121] 1.488592e-01 1.130508e+00 8.480952e-01 2.836512e-01 8.862307e-01 [126] 5.650323e-01 7.944090e-01 9.429589e-01 1.996543e-01 6.876986e-01 [131] 4.571106e-02 8.717781e-01 9.546996e-01 7.470028e-01 2.938355e-01 [136] 1.898640e-01 5.719107e-01 1.445900e-01 3.593205e-01 4.342395e-02 [141] 2.084698e-01 2.214968e-01 3.246446e-01 4.325293e-01 2.019556e-01 [146] 6.636031e-01 1.040999e+00 5.639929e-01 1.682302e-01 1.870272e-01 [151] 7.226063e-01 1.668896e-01 3.535911e-01 1.653131e-01 1.013144e-01 [156] 5.077334e-01 1.149377e+00 4.540297e-01 1.110915e+00 1.164374e-01 [161] 4.538198e-01 3.041337e-01 1.016294e+00 1.601369e-01 3.049202e-01 [166] 3.937182e-01 6.042098e-01 1.089787e-01 6.566536e-01 8.042027e-02 [171] 3.383393e-01 6.645377e-02 1.188553e+00 1.059484e-01 7.614038e-01 [176] 7.922715e-03 5.494790e-01 3.000846e-01 7.200517e-02 7.265088e-02 [181] 1.605964e-01 1.162481e-01 6.909715e-01 7.814279e-02 2.570183e-01 [186] 1.634641e-01 2.887470e-01 1.123236e-01 4.392980e-02 3.624270e-01 [191] 1.590655e-01 1.894978e-02 1.272767e-01 2.561366e-01 2.560478e-01 [196] 1.365967e-01 1.220804e-01 1.534435e-01 1.695077e+00 1.680318e-01 [201] 4.092610e-01 5.486869e-01 1.402955e-02 1.928370e-01 1.806233e-01 [206] 2.949465e-02 2.026771e-01 1.060388e+00 1.648351e-01 2.516368e-01 [211] 1.943321e-02 2.094680e-03 1.129040e-01 1.435903e-01 1.526286e-01 [216] 1.075834e+00 5.638773e-01 5.095493e-01 5.438942e-02 2.030427e-01 [221] 6.522148e-01 6.292513e-02 5.720938e-02 2.139091e-01 7.278776e-01 [226] 6.614678e-01 5.356327e-02 2.945232e-01 1.550337e-01 2.731892e-01 [231] 3.064619e-01 4.253726e-01 1.526361e-01 5.354757e-02 4.602138e-02 [236] 7.446168e-02 1.843893e-01 3.209164e-01 1.941185e-02 1.939656e-01 [241] 2.974989e-03 6.637022e-02 1.870497e-01 2.720245e-01 1.619129e-01 [246] 2.546613e-04 5.368685e-02 4.527445e-01 4.813615e-01 2.911857e-02 $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/3qsza1228054689.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/1ghbs1228054689.ps tmp/1ghbs1228054689.png") > system("convert tmp/2g7ej1228054689.ps tmp/2g7ej1228054689.png") > system("convert tmp/3qsza1228054689.ps tmp/3qsza1228054689.png") > > > proc.time() user system elapsed 0.807 0.601 0.943