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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/1vy1e1228230469.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 -3 -2 -3 -4 -3 -4 -5 -4 -5 -4 -3 -2 -1 -2 -1 -2 -3 -4 -5 -6 [26] -5 -4 -3 -2 -1 0 -1 -2 -1 -2 -3 -2 -1 -2 -1 0 1 0 1 0 -1 0 -1 0 1 [51] 2 1 2 3 4 3 2 3 4 3 2 1 0 -1 0 1 0 1 2 1 2 1 2 1 0 [76] -1 0 -1 0 1 2 1 2 3 4 3 2 3 4 5 6 7 6 5 6 7 8 7 8 9 [101] 8 9 10 9 8 7 8 9 8 7 6 5 6 7 8 9 10 9 8 7 8 7 8 9 10 [126] 9 8 9 10 11 12 11 12 13 14 15 16 15 16 15 16 17 18 19 18 19 20 21 22 21 [151] 20 21 20 19 18 17 16 15 14 15 14 15 14 13 12 11 12 11 12 11 12 11 10 11 10 [176] 11 12 13 12 13 14 13 12 13 12 11 12 11 10 11 12 13 14 15 16 15 14 13 12 13 [201] 12 11 12 13 12 11 10 9 10 11 12 13 14 13 12 13 14 15 16 17 18 17 18 17 18 [226] 17 16 17 16 17 16 15 16 15 16 17 16 15 14 15 14 13 14 15 14 13 12 13 14 15 [251] 14 15 14 13 12 11 12 11 10 9 8 7 8 7 8 9 8 9 8 7 8 7 8 9 8 [276] 7 8 7 8 7 8 7 8 7 6 5 6 7 8 7 8 9 8 7 8 9 10 9 8 9 [301] 8 9 8 7 8 7 8 9 8 7 6 5 6 5 6 5 4 3 4 5 4 3 4 5 6 [326] 5 4 3 2 3 2 1 0 -1 0 1 2 1 2 3 2 3 4 3 4 5 4 5 6 5 [351] 6 5 4 3 4 3 4 5 6 5 4 3 2 1 2 1 2 1 0 -1 0 -1 0 -1 -2 [376] -1 0 -1 -2 -1 -2 -1 0 1 2 1 2 1 0 -1 -2 -1 -2 -3 -4 -5 -4 -5 -6 -5 [401] -4 -3 -2 -1 -2 -1 0 1 0 -1 0 -1 0 -1 -2 -3 -4 -3 -4 -3 -4 -3 -2 -3 -2 [426] -3 -2 -1 -2 -3 -4 -5 -4 -5 -6 -5 -4 -5 -6 -5 -4 -3 -2 -1 -2 -1 0 -1 0 1 [451] 0 1 2 3 4 3 2 3 4 5 6 7 6 7 6 5 6 7 8 9 10 9 8 7 6 [476] 5 6 7 8 7 6 7 6 7 6 5 6 7 8 7 6 5 4 5 4 5 6 7 8 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2mx6v1228230469.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] 5.766550e+03 1.053379e+03 8.247497e+02 5.789932e+02 3.452083e+01 [6] 2.640407e+02 7.193731e+01 7.955321e+01 7.055313e+01 1.450357e+02 [11] 1.360520e+02 7.948410e+01 3.186701e+01 2.961251e+00 3.467129e+01 [16] 7.782836e+00 6.069713e+00 5.990736e+00 2.899615e+01 1.462898e+01 [21] 1.285762e+01 4.165509e+00 1.336388e+01 2.710189e+01 3.484316e+00 [26] 1.661361e+01 6.200887e+00 4.172806e+00 5.639288e+00 7.401538e-01 [31] 1.389422e+01 2.334730e+00 9.595882e+00 1.218869e+01 1.133191e+00 [36] 6.359855e+00 3.694916e-01 1.465850e+00 2.841426e+00 1.495724e+00 [41] 3.869710e+00 1.731325e+00 2.448262e+00 1.217070e-01 4.107847e+00 [46] 1.264676e+00 2.671450e+00 2.342492e-01 2.605138e+00 1.230132e+00 [51] 2.460356e-01 7.403864e+00 5.342305e-02 1.882733e+00 5.468258e-01 [56] 1.047100e+00 4.372162e-01 1.499067e+01 1.803903e-01 1.651241e+00 [61] 1.496246e-01 5.991098e+00 4.760241e+00 2.767025e+00 9.813896e-01 [66] 8.716481e-01 6.258690e-01 1.160685e+00 2.493856e-02 1.226503e+00 [71] 7.817432e-01 2.307983e+00 1.665323e-02 1.634411e+00 1.236350e+00 [76] 6.884178e-02 3.728004e-01 2.350177e+00 2.975897e+00 8.015541e-01 [81] 1.609864e-01 1.877298e-01 9.054338e-01 2.686251e-01 4.460478e+00 [86] 5.875459e-02 2.292734e+00 1.468046e+00 2.997289e-01 1.006581e+00 [91] 7.724491e-02 7.539987e-01 8.777932e-02 3.037935e-01 4.845035e-01 [96] 1.674079e+00 6.076886e-01 1.212701e+00 7.463342e-01 2.835025e-01 [101] 2.557066e-01 2.910094e-01 5.939139e-01 2.020070e+00 5.843671e-01 [106] 1.429093e-01 7.667956e-01 4.908611e-01 4.083879e-01 6.248230e-02 [111] 9.428339e-01 9.256873e-03 4.650605e-01 3.032359e+00 2.773203e-03 [116] 7.464998e-02 1.859598e-01 3.190590e-01 8.574208e-02 8.889824e-01 [121] 2.808241e-01 1.381545e-01 2.198340e-01 3.396410e-01 1.417372e+00 [126] 9.262148e-01 4.624343e-02 5.602140e-01 3.078937e-02 5.519523e-01 [131] 2.450308e-01 9.403223e-01 2.631580e-01 1.220393e-01 1.389993e+00 [136] 1.836367e-01 6.074696e-02 3.376671e-01 4.238590e-01 1.554295e-01 [141] 4.266565e-01 5.541705e-02 1.279285e+00 5.378779e-01 2.223092e-02 [146] 2.781779e-01 1.721160e-02 5.082385e-01 5.595445e-02 8.357054e-01 [151] 2.392753e-01 3.410350e-01 3.177382e-01 3.869849e-01 6.047433e-01 [156] 1.602704e-01 1.573194e-01 6.473924e-01 4.137382e-01 9.251921e-01 [161] 5.210368e-01 1.747238e-01 3.652556e-01 7.828927e-01 7.395657e-01 [166] 5.886808e-02 8.250683e-02 1.450986e-01 4.752907e-01 1.924674e-02 [171] 2.684491e-01 2.766905e-02 4.212778e-01 3.405603e-02 4.639614e-01 [176] 3.298421e-01 7.261966e-01 1.468567e-01 1.505335e-02 1.859649e-01 [181] 2.689896e-01 2.784040e-01 6.406945e-01 8.616585e-02 8.545189e-01 [186] 5.113334e-01 3.042893e-01 2.903811e-01 6.593845e-02 9.955898e-01 [191] 8.123292e-02 1.571449e-01 4.659728e-01 1.773396e-01 8.950583e-01 [196] 3.132823e-01 4.255738e-01 1.753608e-02 1.805860e-01 3.833520e-01 [201] 6.703737e-01 1.112769e-01 2.611763e-01 7.304239e-02 2.902719e-01 [206] 5.861072e-02 8.158921e-01 1.272695e-01 2.880378e-01 4.991331e-01 [211] 4.532567e-01 9.536065e-03 5.121771e-01 9.969370e-02 4.190774e-01 [216] 2.561257e-01 5.495127e-01 1.028382e-01 4.745363e-03 1.121836e-01 [221] 2.525471e-01 3.288336e-01 3.818094e-01 1.754630e-01 2.749993e-01 [226] 1.986061e-01 6.923433e-02 2.766492e-01 5.413792e-01 6.161808e-03 [231] 9.170797e-02 1.636375e-01 4.795360e-01 3.873202e-02 1.092794e-02 [236] 4.163443e-02 1.982400e-01 2.981240e-02 1.638775e-01 5.052791e-01 [241] 1.365071e-02 1.773355e-02 7.084075e-01 1.398674e-01 1.066408e-01 [246] 4.866225e-02 5.083306e-02 7.877266e-01 7.624480e-02 1.017292e+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/3ef7i1228230469.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/1vy1e1228230469.ps tmp/1vy1e1228230469.png") > system("convert tmp/2mx6v1228230469.ps tmp/2mx6v1228230469.png") > system("convert tmp/3ef7i1228230469.ps tmp/3ef7i1228230469.png") > > > proc.time() user system elapsed 0.834 0.603 0.981