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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/1vebn1228201284.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 -2 -1 -2 -3 -2 -1 -2 -1 -2 -3 [19] -4 -5 -4 -3 -4 -5 -6 -7 -6 -5 -4 -5 -6 -5 -6 -7 -6 -7 [37] -8 -9 -8 -9 -8 -9 -8 -7 -6 -5 -6 -7 -8 -7 -6 -5 -6 -7 [55] -8 -7 -6 -7 -6 -5 -6 -7 -6 -5 -4 -5 -4 -3 -4 -5 -6 -5 [73] -6 -5 -4 -5 -6 -5 -4 -5 -6 -5 -4 -3 -4 -5 -4 -5 -6 -5 [91] -6 -5 -6 -5 -6 -5 -4 -3 -4 -5 -4 -3 -2 -3 -4 -5 -6 -7 [109] -8 -7 -8 -9 -10 -9 -8 -7 -8 -9 -10 -9 -8 -7 -6 -7 -8 -9 [127] -8 -9 -8 -7 -6 -7 -8 -9 -8 -9 -10 -11 -10 -9 -8 -9 -8 -9 [145] -8 -9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 0 1 0 -1 [163] 0 -1 -2 -1 -2 -3 -2 -3 -4 -5 -6 -7 -6 -7 -6 -5 -4 -5 [181] -4 -5 -6 -7 -8 -9 -10 -11 -10 -9 -8 -7 -6 -7 -6 -5 -4 -3 [199] -2 -3 -2 -3 -2 -3 -4 -3 -2 -1 0 1 0 -1 -2 -1 0 -1 [217] -2 -1 0 -1 -2 -3 -2 -1 -2 -3 -2 -1 -2 -3 -4 -5 -6 -5 [235] -4 -3 -2 -1 0 -1 -2 -1 0 1 2 1 2 3 4 3 4 3 [253] 2 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -1 0 -1 0 -1 -2 -3 [271] -2 -3 -2 -1 0 1 2 1 2 3 2 3 2 1 2 3 4 3 [289] 2 3 4 3 2 1 2 1 2 1 2 1 0 1 0 -1 -2 -1 [307] 0 -1 -2 -3 -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 -6 -5 -6 -7 [325] -6 -5 -4 -5 -4 -5 -6 -5 -4 -5 -4 -3 -4 -3 -4 -3 -4 -5 [343] -4 -3 -2 -3 -2 -1 0 1 0 -1 -2 -1 0 -1 0 -1 -2 -1 [361] 0 1 2 1 2 1 0 -1 0 -1 0 1 0 1 0 1 0 1 [379] 0 -1 -2 -3 -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 [397] -12 -11 -10 -9 -10 -11 -10 -9 -8 -9 -10 -11 -10 -11 -12 -13 -14 -13 [415] -14 -13 -14 -13 -14 -15 -14 -13 -14 -13 -14 -13 -12 -11 -10 -9 -8 -9 [433] -10 -11 -10 -9 -8 -9 -10 -11 -12 -13 -12 -11 -10 -11 -10 -9 -8 -9 [451] -10 -11 -12 -11 -12 -13 -14 -13 -12 -13 -14 -13 -12 -11 -12 -11 -12 -13 [469] -14 -15 -14 -13 -12 -13 -14 -15 -16 -15 -16 -17 -18 -17 -16 -17 -18 -17 [487] -16 -15 -14 -13 -14 -15 -16 -17 -16 -17 -18 -19 -20 -19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2h3op1228201284.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] 2.421276e+03 4.319493e+02 1.089418e+02 2.367935e+02 3.149526e+02 [6] 6.064584e+01 5.091684e+02 2.088617e+01 3.287543e+01 3.306550e+01 [11] 1.595597e+02 7.226879e+01 5.874598e+01 5.650214e+00 2.140503e+00 [16] 3.348359e+01 1.092911e+01 3.212558e+01 3.406897e+00 2.694524e+01 [21] 1.349553e+00 1.248324e+01 2.558556e-02 2.349448e+01 1.098466e+01 [26] 1.400527e+01 7.557755e+00 8.486794e+00 2.958273e-01 9.140182e+00 [31] 5.965940e+00 2.909257e+00 2.261731e+00 2.140528e+00 8.111635e+00 [36] 3.178264e+01 5.820263e+00 1.148773e+00 3.750216e+00 3.219468e+00 [41] 1.134896e+01 7.804807e-01 1.740440e+00 1.207814e+00 6.111734e-01 [46] 8.939357e-01 6.011254e-01 4.868670e-02 1.363706e+00 3.641206e+00 [51] 1.043017e+01 6.062761e+00 3.260541e+00 4.937311e+00 1.504507e+00 [56] 1.026220e+00 2.147960e+00 8.060639e-01 2.218493e+00 1.789599e-01 [61] 1.555826e+00 1.247510e+00 1.144251e+00 1.113191e+00 1.414637e+00 [66] 6.502465e-01 2.732125e+00 1.730001e+00 1.890180e+00 5.644292e+00 [71] 5.837577e-01 1.195515e-01 1.906952e+00 6.488152e-02 2.497262e+00 [76] 7.631220e-01 4.357740e-01 1.821881e+00 1.682455e+00 1.775239e+00 [81] 2.252457e+00 7.314672e-01 9.898452e-01 1.496390e-02 1.718392e+00 [86] 9.002303e-01 1.440355e+00 1.374613e-01 2.576822e+00 2.633802e-01 [91] 4.955150e-01 2.747111e+00 7.316476e-01 7.400834e-01 4.746975e-01 [96] 2.930798e+00 8.206215e-01 1.605989e-01 1.344390e-01 4.306260e-01 [101] 3.516558e-02 2.512142e+00 1.398386e+00 6.649057e-01 1.085942e+00 [106] 1.006880e+00 1.452816e+00 8.430559e-01 1.766601e+00 6.542138e-01 [111] 1.027937e+00 5.077994e-02 1.493547e+00 3.417315e-01 5.856976e-01 [116] 6.869330e-02 6.505281e-02 2.076993e-03 1.314035e+00 1.046284e+00 [121] 2.858655e-01 4.372005e-02 1.787686e-01 3.635449e-02 1.823891e+00 [126] 7.571063e-01 1.446609e-01 1.569720e+00 9.279210e-02 1.485424e+00 [131] 1.986137e-01 7.735769e-01 3.574460e-01 6.347013e-01 3.273002e-03 [136] 1.286777e+00 2.072739e-01 9.697810e-01 5.775449e-01 3.146673e-01 [141] 4.768344e-01 1.826969e-01 3.999455e-01 1.343855e-02 3.934593e-02 [146] 2.983107e-02 1.966667e-01 2.831045e-02 1.150078e-01 2.700818e-02 [151] 5.992913e-02 6.319518e-02 8.005683e-01 3.845402e-01 7.650412e-02 [156] 1.902364e-01 2.393906e-02 8.774832e-02 3.799604e-01 1.202551e-01 [161] 1.622410e-02 3.901269e-01 7.559992e-01 2.367608e-01 9.624523e-01 [166] 5.586127e-02 1.333924e-01 4.590064e-01 5.815449e-02 5.005404e-01 [171] 2.837781e-01 6.734389e-01 2.353479e-01 4.182526e-03 2.669913e-01 [176] 1.332407e-02 2.290327e-01 1.589158e-01 2.827701e-01 5.787710e-01 [181] 1.419528e-02 2.253876e-01 9.913641e-02 1.293685e-01 1.966259e-01 [186] 3.268893e-01 2.034422e-01 1.449664e-01 5.743611e-02 1.949510e-01 [191] 8.624712e-02 3.615263e-02 3.272914e-02 2.777398e-02 1.909001e-02 [196] 1.619130e-01 2.923150e-01 6.565237e-01 5.016293e-02 1.310173e-01 [201] 1.773811e-01 5.031045e-01 1.966695e-02 6.496144e-03 1.245075e-01 [206] 2.290168e-02 6.917341e-01 5.720715e-02 3.099679e-01 2.657718e-02 [211] 4.811151e-01 5.242419e-01 1.888748e-02 7.494629e-02 4.763903e-02 [216] 1.189016e-02 4.145248e-01 1.984463e-01 2.765034e-01 1.826370e-02 [221] 1.164955e-01 2.102645e-02 1.898317e-01 9.498205e-01 2.918944e-01 [226] 4.170998e-01 2.128823e-01 7.176654e-01 9.505703e-01 8.732962e-02 [231] 1.035178e-01 9.250631e-02 6.187626e-02 3.356782e-02 4.801659e-01 [236] 1.581197e-01 4.399336e-01 3.562931e-01 3.634060e-01 1.407558e-01 [241] 7.746559e-02 1.718748e-01 7.408828e-02 1.027158e-01 1.860307e-01 [246] 3.321676e-01 4.689950e-01 5.082412e-02 6.177630e-01 4.120950e-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/3e8rf1228201284.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/1vebn1228201284.ps tmp/1vebn1228201284.png") > system("convert tmp/2h3op1228201284.ps tmp/2h3op1228201284.png") > system("convert tmp/3e8rf1228201284.ps tmp/3e8rf1228201284.png") > > > proc.time() user system elapsed 0.813 0.592 1.237