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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/1k50t1228057879.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 1 2 3 4 3 4 5 4 3 2 3 4 3 2 1 [19] 0 1 0 -1 0 1 0 1 2 1 0 1 2 3 2 3 4 3 [37] 2 1 0 1 0 -1 -2 -3 -4 -5 -4 -3 -4 -5 -4 -3 -4 -3 [55] -2 -3 -2 -3 -2 -3 -2 -3 -2 -3 -2 -1 0 1 2 3 4 5 [73] 4 5 4 3 4 3 4 3 2 3 2 1 2 3 2 3 4 5 [91] 4 3 4 3 2 3 2 1 2 1 2 1 2 1 2 3 4 3 [109] 2 1 0 1 0 -1 0 -1 -2 -3 -2 -1 -2 -1 0 1 0 -1 [127] 0 -1 -2 -3 -4 -3 -4 -5 -6 -7 -8 -7 -8 -9 -10 -9 -8 -7 [145] -6 -5 -6 -7 -6 -7 -8 -9 -8 -7 -6 -7 -8 -7 -6 -7 -6 -7 [163] -6 -7 -6 -7 -6 -5 -4 -3 -4 -5 -6 -5 -4 -5 -4 -5 -4 -3 [181] -2 -1 0 -1 0 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -3 [199] -2 -3 -4 -3 -4 -3 -2 -3 -4 -5 -4 -5 -6 -7 -6 -5 -4 -3 [217] -4 -5 -4 -5 -6 -5 -6 -7 -6 -7 -8 -9 -10 -9 -10 -9 -8 -9 [235] -10 -9 -10 -11 -10 -11 -10 -11 -10 -11 -10 -11 -10 -9 -10 -9 -8 -7 [253] -6 -5 -6 -7 -6 -7 -8 -9 -8 -7 -6 -5 -4 -3 -4 -5 -4 -3 [271] -4 -3 -4 -3 -4 -5 -6 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 [289] -2 -3 -2 -1 0 1 2 3 4 5 6 5 6 5 6 7 6 5 [307] 6 5 4 5 4 5 6 7 8 7 6 5 6 7 6 7 8 7 [325] 8 7 8 7 8 7 8 9 8 9 10 9 8 7 8 7 8 9 [343] 10 11 12 13 12 11 10 9 8 9 8 9 10 9 8 7 6 5 [361] 6 7 8 7 6 7 8 9 8 9 8 7 8 9 10 11 10 9 [379] 10 9 10 11 12 11 10 9 8 9 10 9 10 9 10 9 8 7 [397] 6 5 6 7 6 5 6 5 6 5 6 7 6 7 8 9 8 9 [415] 10 9 10 9 10 9 10 9 8 9 10 11 12 13 12 13 12 13 [433] 14 13 12 11 12 11 12 13 12 13 14 13 12 13 14 13 12 13 [451] 12 11 12 13 12 11 12 13 14 15 16 15 16 17 16 17 16 17 [469] 18 17 16 15 16 17 16 15 16 15 16 17 16 17 16 15 16 17 [487] 18 19 18 17 18 17 16 17 16 15 14 13 12 11 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ra371228057879.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] 3.572575e+03 1.321125e+03 7.030700e+01 9.750345e+02 1.518582e+02 [6] 2.006278e+02 5.510301e+01 1.592833e+01 2.623955e+01 5.333222e+01 [11] 7.364868e+01 2.941521e+01 9.309679e+01 2.293937e+00 1.050887e+00 [16] 2.266212e+01 9.794907e+00 1.583970e+01 1.502540e+00 1.842017e+00 [21] 1.479385e+01 8.927583e+00 2.177543e+00 8.624613e-01 1.134452e+01 [26] 8.814790e+00 2.236233e+01 3.405086e+01 4.264040e-01 5.975164e+00 [31] 4.006576e+01 3.493480e+00 2.897119e+00 3.478552e+00 3.685293e+00 [36] 9.535772e-01 2.976513e+00 2.026361e-01 7.309866e-01 4.836948e+00 [41] 3.718032e+00 2.060742e+00 6.403958e+00 1.168529e+00 9.422821e-01 [46] 3.035507e-01 3.982232e+00 2.886894e+00 3.270141e+00 9.825548e+00 [51] 1.414812e+01 1.167565e+00 6.941846e-01 3.740346e+00 2.190130e+00 [56] 2.027043e+00 7.547710e-01 1.643323e-01 2.174593e+00 9.604505e-01 [61] 9.796136e-01 1.272509e+00 2.591092e+00 2.180046e-01 9.426239e-01 [66] 5.403747e-01 1.668242e+00 3.076380e-01 7.292101e-01 2.612043e+00 [71] 6.011583e-01 2.899439e+00 5.239786e-01 1.853985e-01 3.168336e+00 [76] 1.020565e+00 5.704658e-01 2.578765e+00 8.076641e-02 8.349656e-01 [81] 2.799666e-01 1.140342e+00 2.182481e-01 8.467724e-01 1.337433e-01 [86] 2.469802e-01 1.485594e-01 2.115149e-02 5.208165e-02 5.935256e-01 [91] 2.492513e-01 3.806912e+00 1.781199e-01 1.040658e+00 1.093316e+00 [96] 5.445336e-01 1.885134e+00 6.341219e-01 2.511490e-01 1.031706e+00 [101] 5.600419e-01 1.019737e-01 2.800285e-02 9.355586e-02 1.201270e-01 [106] 6.344745e-01 1.415783e-01 4.685280e-01 1.049195e-01 3.052411e-02 [111] 2.767603e-01 4.800058e-01 1.433214e+00 1.526250e-01 1.691946e-01 [116] 3.997831e-01 1.918706e-01 1.195975e+00 5.441546e-01 4.586733e-01 [121] 5.020923e-02 6.275254e-01 2.956259e-01 1.378056e-01 8.976797e-01 [126] 1.176116e-01 9.282156e-01 1.152556e-01 2.760331e-01 2.015712e+00 [131] 1.484829e-01 5.687229e-01 1.150407e+00 1.979184e-01 1.655636e-01 [136] 2.426756e-01 4.282214e-01 1.016954e+00 2.069495e-01 3.382053e-01 [141] 3.234785e-01 2.083236e-02 1.872143e+00 1.223417e-01 2.838388e-01 [146] 7.001152e-01 5.873736e-01 5.818911e-01 7.174283e-01 4.479768e-01 [151] 6.932033e-01 5.430588e-02 3.422593e-01 6.418425e-01 1.869651e-01 [156] 1.317785e-01 2.467402e-01 8.114549e-01 3.477272e-01 4.904021e-01 [161] 4.086007e-01 4.965940e-01 6.117314e-03 1.134728e-02 2.205393e-01 [166] 3.444682e-01 3.113830e-01 8.683630e-01 3.600491e-01 1.006867e-02 [171] 1.115178e-02 4.359059e-01 3.047217e-01 1.965048e-01 2.643833e-01 [176] 2.020591e-01 1.886472e-01 1.060973e+00 6.627807e-01 1.126745e+00 [181] 3.495810e-02 4.032785e-01 6.894346e-02 9.652010e-02 3.444524e-01 [186] 4.835760e-02 2.478491e-01 6.116356e-02 1.308596e+00 4.029205e-01 [191] 2.844160e-02 8.143885e-02 3.271679e-01 3.952273e-03 5.079034e-01 [196] 6.586870e-02 2.462703e-02 1.675855e-01 1.318743e-02 4.714851e-01 [201] 5.202846e-02 1.268910e-01 5.140626e-02 3.748739e-01 3.808563e-01 [206] 1.471755e-01 9.405376e-01 3.816419e-01 2.929508e-02 4.473260e-01 [211] 2.709517e-01 5.452467e-01 1.042682e-01 1.496739e-01 3.139180e-01 [216] 3.959796e-01 7.873879e-01 1.495401e-02 8.179799e-01 3.003460e-01 [221] 1.422875e-01 3.021817e-01 1.571952e-01 3.516306e-01 1.815593e+00 [226] 8.696184e-02 3.646066e-02 3.260509e-01 4.614952e-02 1.092191e-01 [231] 1.187884e-01 6.221965e-02 3.558351e-01 3.019212e-03 8.321001e-02 [236] 6.916327e-02 4.032394e-01 7.348453e-02 7.587785e-01 2.247643e-01 [241] 5.183297e-01 1.051728e-01 2.113033e-01 5.318403e-01 4.857101e-02 [246] 1.156275e-01 2.831615e-02 1.069713e-01 6.519605e-02 1.071540e+00 $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/3xr7m1228057879.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/1k50t1228057879.ps tmp/1k50t1228057879.png") > system("convert tmp/2ra371228057879.ps tmp/2ra371228057879.png") > system("convert tmp/3xr7m1228057879.ps tmp/3xr7m1228057879.png") > > > proc.time() user system elapsed 0.809 0.606 1.006