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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/1mcdb1227815099.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 -5 -4 -5 -4 -3 -4 -3 -2 -1 -2 -1 -2 -3 -4 -5 -6 -5 -4 [26] -3 -2 -3 -4 -3 -2 -1 0 1 2 1 0 1 2 1 2 1 0 1 0 1 0 1 0 1 [51] 2 1 2 3 2 1 2 1 0 1 2 3 2 3 4 5 6 7 8 7 6 5 4 3 2 [76] 1 2 3 2 3 2 3 4 5 6 5 4 3 4 3 2 1 0 -1 0 1 0 1 2 3 [101] 4 3 4 3 4 5 4 5 4 3 4 5 4 5 4 5 6 5 6 7 6 7 8 7 6 [126] 5 4 3 2 1 2 3 4 3 2 1 0 -1 0 1 0 1 0 1 2 3 2 3 4 3 [151] 4 5 4 5 4 3 4 5 6 7 8 9 10 11 10 11 10 9 10 9 10 9 8 9 8 [176] 7 8 7 6 5 6 5 6 7 8 9 10 11 12 11 10 9 10 11 12 11 12 13 12 11 [201] 10 9 8 7 8 9 10 11 10 11 12 11 12 11 12 13 12 13 12 13 14 13 12 11 10 [226] 9 10 9 10 11 10 9 8 9 10 11 12 11 10 11 10 9 8 9 10 9 8 7 6 5 [251] 6 5 6 7 6 5 6 5 4 5 4 3 4 3 2 1 0 1 0 1 0 -1 -2 -1 0 [276] 1 2 3 2 1 0 -1 0 1 0 1 2 3 4 5 4 3 4 5 4 5 6 5 4 3 [301] 4 3 4 3 2 3 4 3 4 5 6 7 8 9 8 9 10 11 12 13 12 13 12 11 10 [326] 11 12 13 12 13 14 15 14 15 14 15 14 15 16 17 18 17 18 17 18 19 18 19 18 19 [351] 20 21 22 23 22 21 22 21 22 21 20 19 20 21 20 19 18 19 18 17 18 17 16 15 16 [376] 15 16 17 16 15 14 15 14 13 12 11 10 11 10 9 8 7 8 9 8 9 8 7 8 7 [401] 6 5 6 5 6 7 8 7 6 5 6 7 8 9 10 11 10 11 10 11 10 9 10 9 10 [426] 11 10 11 10 9 8 9 10 9 8 9 10 9 8 9 10 9 8 7 8 9 8 7 6 5 [451] 6 7 6 5 6 7 6 7 8 7 6 7 8 9 10 11 10 11 10 11 12 11 12 11 12 [476] 13 14 13 14 13 12 11 12 11 10 11 12 13 12 13 12 11 10 9 10 11 12 11 10 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2vp571227815099.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] 2.310785e+02 4.463008e+02 2.062252e+03 1.285680e+03 7.749672e+01 [6] 5.775685e+01 5.661710e+01 2.392236e+02 2.221697e-01 7.291906e+01 [11] 6.880700e+01 3.226067e+01 2.944060e+01 1.205014e+01 1.189227e+01 [16] 5.220649e+01 1.653391e+00 2.403252e+00 9.265058e+00 4.522854e+01 [21] 4.388139e+00 1.535679e+01 8.559588e+00 3.251832e+01 2.990829e+00 [26] 2.060185e+01 7.808615e+00 4.307155e+00 1.697740e+01 9.340538e+00 [31] 8.653671e+00 1.400558e+01 6.941885e-01 1.230572e+00 3.393067e-01 [36] 1.839786e+00 6.474455e-01 5.437441e+00 9.018059e+00 5.715261e-02 [41] 7.132430e+00 7.412334e-01 1.919722e+00 2.647594e+00 9.486835e+00 [46] 6.567355e+00 1.668541e+00 8.754302e+00 2.697904e-02 3.179259e+00 [51] 3.033225e+00 7.442633e-01 4.161147e+00 2.698512e-01 3.961121e+00 [56] 6.206225e-01 3.680127e-01 9.025831e-01 4.247370e+00 2.204268e+00 [61] 2.802522e+00 3.768017e+00 5.629290e-01 1.160810e-01 9.593454e-01 [66] 2.311142e+00 6.723490e-02 2.024637e+00 2.173965e-02 1.431235e+00 [71] 4.168175e-01 1.338845e+00 1.354635e+00 8.933477e-01 1.046031e+00 [76] 7.725337e-01 7.417208e-01 6.217908e-02 6.449828e-01 7.419378e+00 [81] 5.802527e-01 6.333844e-01 3.636684e-01 5.782913e-01 2.732360e+00 [86] 6.550131e-01 1.859259e+00 1.250981e-01 4.843382e-01 1.112132e+00 [91] 5.722763e-01 1.070389e+00 1.398906e-01 9.611945e-02 7.489187e-01 [96] 1.281023e-01 8.131609e-01 2.350670e-01 8.091272e-02 2.369056e-02 [101] 7.602642e-01 9.025983e-01 1.784223e-02 1.421984e+00 2.319891e+00 [106] 2.870627e-01 2.122332e-01 4.653814e-01 7.580978e-01 9.153545e-02 [111] 5.000353e-01 6.955168e-02 8.789022e-01 8.273686e-01 8.695359e-01 [116] 3.557522e-03 9.765720e-01 6.864068e-01 2.223259e-02 6.152636e-01 [121] 5.944964e-01 1.182952e-01 3.785688e-01 5.458887e-01 8.361631e-05 [126] 4.985618e-02 6.684961e-02 1.043383e+00 9.200294e-01 7.920644e-03 [131] 3.325558e-01 3.516800e-01 6.837045e-01 2.943264e-02 3.146558e-01 [136] 4.479604e-01 9.288475e-01 2.819279e-01 3.151713e-01 2.294122e-02 [141] 9.120967e-02 1.039554e+00 6.927222e-02 1.195554e-01 3.653253e-01 [146] 1.266150e-01 6.368682e-01 6.209113e-01 3.396081e-01 3.405732e-01 [151] 1.575398e+00 8.985798e-01 9.998860e-01 1.855221e-01 5.691638e-01 [156] 6.548895e-02 1.117826e-01 4.448559e-01 3.249446e-01 2.581014e-02 [161] 7.675412e-01 1.754241e-01 1.653345e-01 2.738519e-01 4.504819e-01 [166] 1.374289e-03 6.935804e-02 4.409215e-01 7.864563e-01 5.200939e-01 [171] 4.845245e-01 1.889123e-01 7.660387e-01 9.451988e-02 1.419023e+00 [176] 2.602003e-01 3.969049e-01 1.415865e-01 9.536029e-02 7.543312e-02 [181] 3.246910e-01 3.870582e-01 7.996089e-01 4.478131e-03 7.649524e-02 [186] 3.251094e-01 8.045087e-03 6.315219e-01 1.151281e-01 2.016873e-01 [191] 6.701395e-01 1.024412e+00 7.674236e-02 3.912584e-01 6.581416e-02 [196] 5.705037e-02 4.207188e-01 2.982612e-02 2.357838e-01 5.903378e-01 [201] 2.298474e-01 2.258808e-01 4.051891e-01 5.019035e-01 1.317590e-01 [206] 2.188626e-01 6.697786e-01 4.978591e-02 4.598479e-02 2.580975e-01 [211] 9.372412e-03 5.583143e-01 2.206807e-01 3.221153e-02 1.204522e-01 [216] 5.320940e-02 7.591684e-01 2.653448e-01 1.322196e+00 6.118490e-01 [221] 3.279303e-02 4.627842e-01 2.926142e-02 4.202112e-01 2.104953e-02 [226] 8.719113e-02 6.465773e-02 1.517484e-02 4.007788e-02 4.734503e-01 [231] 6.198237e-03 7.450419e-02 5.726121e-02 4.863543e-01 1.194270e-01 [236] 1.472784e-01 3.165610e-01 5.079022e-02 4.183906e-01 1.415170e-01 [241] 5.491948e-01 2.560889e-01 3.883159e-02 4.210294e-02 2.984493e-01 [246] 1.122750e-02 8.109298e-02 1.938066e-01 4.208060e-02 1.234652e-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/3p92n1227815099.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/1mcdb1227815099.ps tmp/1mcdb1227815099.png") > system("convert tmp/2vp571227815099.ps tmp/2vp571227815099.png") > system("convert tmp/3p92n1227815099.ps tmp/3p92n1227815099.png") > > > proc.time() user system elapsed 1.960 1.058 2.062