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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/1aau51228169704.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 0 -1 -2 -3 -2 -3 -4 -5 -4 -5 -6 -7 -6 -7 -8 -7 [19] -8 -9 -10 -9 -10 -9 -10 -9 -10 -9 -8 -9 -8 -9 -10 -11 -12 -13 [37] -12 -13 -12 -11 -10 -9 -10 -11 -12 -13 -12 -11 -10 -9 -8 -7 -8 -9 [55] -10 -11 -10 -11 -10 -11 -12 -13 -12 -11 -12 -11 -12 -13 -12 -11 -12 -13 [73] -12 -11 -10 -9 -10 -9 -10 -11 -12 -11 -10 -11 -12 -11 -10 -9 -10 -9 [91] -10 -9 -8 -9 -10 -9 -8 -9 -8 -7 -6 -5 -4 -3 -2 -3 -4 -3 [109] -2 -3 -2 -1 -2 -1 0 -1 -2 -1 0 -1 0 -1 0 1 0 1 [127] 0 1 0 1 0 -1 -2 -1 -2 -3 -4 -5 -6 -7 -6 -5 -6 -7 [145] -6 -5 -6 -7 -8 -9 -8 -7 -8 -7 -6 -7 -8 -9 -10 -11 -10 -11 [163] -10 -9 -10 -9 -10 -9 -8 -7 -8 -7 -8 -7 -8 -9 -8 -7 -6 -5 [181] -4 -5 -4 -3 -4 -3 -4 -5 -4 -3 -4 -3 -2 -3 -2 -1 0 -1 [199] 0 -1 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 -2 -3 -4 -3 -4 -3 [217] -2 -1 -2 -3 -4 -5 -6 -7 -8 -7 -8 -7 -8 -7 -6 -7 -8 -9 [235] -10 -9 -10 -9 -8 -7 -6 -7 -6 -5 -6 -5 -4 -5 -6 -7 -8 -9 [253] -8 -9 -10 -11 -10 -9 -10 -9 -8 -9 -10 -11 -12 -13 -12 -11 -12 -11 [271] -12 -13 -12 -13 -12 -11 -12 -13 -14 -15 -14 -13 -14 -15 -14 -15 -16 -17 [289] -16 -17 -18 -17 -16 -15 -16 -17 -18 -19 -20 -21 -22 -23 -24 -23 -24 -23 [307] -24 -25 -26 -27 -26 -25 -24 -23 -24 -25 -24 -25 -24 -23 -24 -23 -22 -23 [325] -22 -21 -20 -21 -22 -23 -24 -25 -26 -25 -26 -27 -26 -27 -26 -27 -28 -29 [343] -28 -27 -28 -27 -28 -29 -30 -31 -32 -33 -34 -33 -32 -33 -32 -33 -32 -33 [361] -34 -35 -34 -33 -32 -31 -32 -33 -34 -35 -36 -35 -34 -33 -32 -31 -32 -31 [379] -32 -33 -34 -35 -36 -35 -36 -35 -34 -35 -36 -37 -38 -39 -38 -37 -38 -39 [397] -38 -39 -40 -41 -42 -41 -40 -41 -40 -39 -38 -39 -40 -39 -38 -39 -40 -41 [415] -42 -43 -44 -45 -46 -47 -48 -47 -48 -47 -48 -47 -46 -47 -46 -47 -48 -49 [433] -50 -49 -48 -47 -48 -49 -48 -49 -50 -51 -50 -51 -52 -51 -52 -53 -54 -53 [451] -54 -55 -56 -57 -58 -59 -60 -59 -60 -59 -58 -59 -58 -59 -58 -59 -58 -59 [469] -58 -59 -58 -57 -56 -57 -58 -57 -58 -57 -58 -59 -60 -59 -58 -59 -60 -61 [487] -62 -61 -62 -61 -62 -61 -60 -61 -60 -61 -62 -61 -62 -61 > x <- b > postscript(file="/var/www/html/rcomp/tmp/258ws1228169704.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] 1.429019e+04 5.542474e+02 1.134731e+02 1.363439e+03 9.467438e+02 [6] 6.542975e+01 3.062448e+02 1.625780e+02 3.498292e+01 2.531636e+01 [11] 4.819473e+01 1.899489e+01 5.916198e+01 2.412524e+01 1.772138e+01 [16] 1.548596e+01 1.424388e+01 4.891028e+01 1.713495e+00 9.579585e+00 [21] 2.722202e+01 9.607998e-01 3.105511e+00 9.450663e+00 4.911835e+00 [26] 2.118229e+00 1.798399e+00 3.599546e+00 5.121234e+00 1.623036e+01 [31] 2.003942e+01 4.853569e+00 2.985455e+00 2.805142e+00 6.249982e-01 [36] 2.371974e+00 2.149978e-01 4.029484e+00 2.099126e+01 2.360556e+00 [41] 2.225876e+00 4.442579e+00 6.926943e+00 1.362454e+00 2.542929e+00 [46] 5.293310e-01 7.700618e+00 1.412214e+01 8.627478e+00 2.812238e+00 [51] 7.501204e+00 5.896078e+00 2.117109e+00 2.690791e+00 2.101635e+00 [56] 1.216830e-01 7.056147e+00 1.763665e+00 6.558135e-01 1.110776e+00 [61] 9.594554e-01 2.752502e+00 8.072333e-02 1.612188e-01 7.644291e-01 [66] 2.445676e+00 2.547009e+00 1.898094e+00 1.427485e+00 3.549950e-01 [71] 2.271674e+00 1.964339e-01 2.450322e-01 1.557265e+00 1.252952e-01 [76] 1.395030e+00 7.288714e-01 2.838452e+00 5.022828e-01 3.213612e-02 [81] 2.613661e-01 2.074173e+00 1.644174e-01 5.493635e-02 1.694133e+00 [86] 3.922168e-01 6.458308e-01 5.054719e-01 1.487878e+00 2.702116e-01 [91] 1.069521e+00 7.910362e-01 7.420135e-01 9.516940e-01 2.758824e-01 [96] 3.302217e-01 3.011945e-02 8.339867e-01 4.762509e-02 2.527136e-01 [101] 6.621709e-02 8.142201e-03 7.600304e-01 6.180124e-01 6.748667e-01 [106] 5.715027e-01 2.186963e-01 1.237375e+00 6.354362e-01 1.116932e-01 [111] 2.677810e+00 1.166155e+00 2.714789e-01 2.881405e-01 1.579445e-01 [116] 4.094540e-01 9.497366e-02 2.337700e-01 1.067206e+00 5.451797e-01 [121] 5.349888e-01 1.647966e-02 6.092056e-01 6.862143e-01 5.988015e-01 [126] 1.615249e-01 3.282160e-01 2.157988e-01 2.025556e-01 8.107912e-01 [131] 2.328850e-01 1.823822e-01 7.489004e-01 6.473987e-01 3.151643e-01 [136] 7.323173e-01 4.124147e-01 4.856419e-01 2.343809e-01 9.221548e-01 [141] 5.508177e-02 6.893306e-01 5.225952e-01 1.303153e-01 4.473013e-02 [146] 9.688185e-01 2.520031e-01 3.942959e-03 4.455058e-02 5.589995e-01 [151] 6.365816e-01 4.602329e-02 3.833227e-01 6.491050e-01 4.102777e-01 [156] 7.848577e-01 3.180341e-01 2.804154e-01 2.674642e-01 1.458083e-01 [161] 7.146198e-01 9.469057e-01 1.963474e-01 9.040063e-02 5.810438e-01 [166] 4.538370e-01 9.320594e-01 5.404593e-02 1.445088e-01 1.349972e+00 [171] 1.036016e-01 4.562511e-01 6.394759e-01 3.846071e-02 3.633924e-01 [176] 8.728622e-02 6.345363e-03 5.670127e-01 2.176054e-01 2.719171e-01 [181] 1.203947e-01 1.512186e-01 1.932978e-01 7.939270e-02 1.085479e-01 [186] 1.034227e+00 1.378143e-01 1.651138e-01 3.399131e-01 2.287437e-01 [191] 7.996792e-02 1.852797e-01 5.633563e-02 4.156318e-02 1.429676e-01 [196] 2.343928e-01 1.583111e-01 5.090121e-02 2.812665e-01 6.092124e-01 [201] 1.184566e-01 6.173786e-01 3.481314e-01 6.060217e-01 4.485673e-01 [206] 9.876977e-02 4.132157e-01 5.285144e-01 2.029797e-01 6.242530e-02 [211] 1.477326e+00 1.464940e-01 6.187203e-02 7.306116e-02 1.522601e-01 [216] 3.478676e-01 1.505269e-01 4.735919e-02 8.848396e-02 2.281370e-02 [221] 1.807444e-02 5.924702e-01 9.898605e-02 3.724906e-01 5.099305e-01 [226] 2.146096e-01 5.742072e-01 5.776915e-03 1.357325e-01 2.927914e-01 [231] 1.964563e-01 1.825563e-02 7.283892e-02 1.744906e-01 7.528420e-02 [236] 7.156513e-01 2.483674e-01 3.721733e-01 3.038949e-01 5.687912e-01 [241] 3.361710e-02 7.166218e-02 6.110406e-01 6.968691e-02 1.961761e-02 [246] 1.711623e-02 1.544765e-02 7.774706e-02 1.283599e-01 8.832162e-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/3gg891228169704.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/1aau51228169704.ps tmp/1aau51228169704.png") > system("convert tmp/258ws1228169704.ps tmp/258ws1228169704.png") > system("convert tmp/3gg891228169704.ps tmp/3gg891228169704.png") > > > proc.time() user system elapsed 0.785 0.589 0.927