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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/1i3cl1228286649.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 0 1 2 3 2 3 4 3 4 3 2 1 2 1 [19] 0 1 2 3 2 3 4 5 6 7 8 9 8 9 8 7 8 7 [37] 6 7 6 7 8 7 6 5 4 3 4 5 6 5 4 3 4 5 [55] 6 7 6 5 6 7 8 9 8 9 8 7 8 9 8 9 8 7 [73] 6 7 8 7 8 7 6 5 4 3 2 1 0 1 0 1 0 1 [91] 0 1 0 1 0 1 2 3 4 5 4 3 4 3 2 1 2 3 [109] 2 1 2 1 2 1 2 3 2 3 2 3 4 5 4 3 2 1 [127] 2 3 4 5 4 3 4 3 4 5 4 3 4 5 6 5 6 7 [145] 6 7 6 7 8 9 8 7 6 5 6 5 4 3 2 3 4 3 [163] 4 3 2 3 4 3 2 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 [181] 0 1 0 -1 0 -1 0 1 2 3 2 3 2 1 0 -1 0 -1 [199] 0 -1 -2 -3 -2 -3 -4 -5 -4 -5 -4 -3 -2 -3 -4 -5 -4 -5 [217] -6 -7 -8 -7 -6 -7 -8 -9 -8 -7 -6 -5 -4 -3 -2 -3 -2 -1 [235] -2 -1 -2 -1 -2 -1 0 1 0 -1 0 1 0 -1 0 1 0 -1 [253] -2 -3 -2 -3 -4 -5 -6 -7 -6 -5 -4 -5 -4 -5 -6 -5 -6 -7 [271] -8 -7 -8 -9 -8 -9 -8 -9 -10 -11 -10 -11 -10 -11 -12 -11 -10 -9 [289] -10 -9 -10 -9 -8 -9 -8 -7 -8 -7 -8 -9 -10 -11 -10 -9 -8 -9 [307] -10 -11 -12 -11 -12 -13 -12 -13 -14 -13 -12 -11 -12 -11 -10 -9 -8 -9 [325] -8 -9 -8 -9 -8 -9 -8 -7 -6 -7 -8 -7 -6 -7 -6 -7 -8 -9 [343] -10 -9 -10 -9 -8 -7 -6 -7 -8 -7 -8 -7 -6 -5 -6 -5 -6 -5 [361] -6 -5 -6 -5 -4 -3 -2 -1 0 1 0 1 0 -1 0 -1 0 1 [379] 2 1 2 3 2 1 0 1 0 1 0 -1 0 -1 0 -1 -2 -1 [397] 0 -1 0 1 0 -1 -2 -1 0 1 0 1 2 1 2 3 4 5 [415] 4 5 6 7 8 7 6 7 6 5 4 3 2 3 4 5 4 5 [433] 6 5 6 7 6 7 8 7 6 7 8 9 8 9 8 9 8 9 [451] 10 11 12 11 10 9 8 9 10 9 8 9 10 9 10 9 8 9 [469] 8 7 8 7 6 5 4 3 2 1 0 -1 -2 -1 0 -1 -2 -3 [487] -2 -3 -2 -3 -2 -1 -2 -1 0 -1 0 1 2 3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/23b6q1228286649.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] 4.523771e+03 1.703418e+03 4.659405e+02 7.704596e+01 7.871247e+02 [6] 2.837095e+01 4.632364e+01 1.302320e+02 4.810620e+01 2.625491e+01 [11] 1.653448e+02 9.369901e+01 1.220924e+02 2.401931e+00 2.115908e+01 [16] 5.873003e+00 4.849906e+01 1.566437e+01 6.434376e-01 7.694709e+00 [21] 3.613307e-01 3.033625e+01 1.239076e+01 1.201099e+01 3.620710e+00 [26] 2.255823e+00 7.305666e+00 1.822739e+00 9.421191e+00 1.480853e+01 [31] 4.555394e+00 1.574004e+01 9.026722e-01 4.087632e+00 4.835951e+00 [36] 9.362410e-01 3.022153e-03 1.137191e-01 4.496120e+00 1.739064e+00 [41] 2.476648e+00 3.933665e+00 1.098030e+00 2.929498e+00 3.410251e+00 [46] 1.832483e-01 3.928343e+00 1.279083e+01 1.194224e+00 8.572131e+00 [51] 2.370613e+00 1.660453e-02 2.553171e+00 2.066530e-01 2.392753e-01 [56] 5.727547e-02 9.367935e-01 1.340635e+00 5.898642e-01 2.494365e+00 [61] 8.331253e-01 8.358688e-01 3.359238e-01 6.920762e-01 5.890217e-01 [66] 8.472986e-01 4.991676e+00 2.798859e+00 2.162419e-01 2.593630e+00 [71] 1.613635e+00 1.362650e+00 3.178744e-01 5.996113e+00 2.871424e+00 [76] 2.337909e+00 9.399152e-01 6.636299e-01 4.903072e-01 1.642743e+00 [81] 4.427595e-01 9.717064e-01 4.429141e-03 2.552473e+00 9.106054e-01 [86] 3.697147e-01 1.695368e-01 7.146604e-01 5.665376e-01 2.441372e+00 [91] 8.794368e-01 1.352642e-02 1.788321e+00 2.053135e+00 9.633054e-01 [96] 6.770777e-01 2.245638e-01 1.595252e-01 2.707776e+00 3.107516e-01 [101] 3.377601e-01 7.579919e-02 9.515173e-01 6.172880e-01 4.662834e-01 [106] 5.461344e-01 1.550309e-01 1.140848e-02 1.072206e+00 7.549841e-01 [111] 4.543336e-01 1.741965e-01 6.547315e-01 9.796607e-01 3.188788e-01 [116] 1.042566e+00 6.538209e-01 4.876907e-02 5.311358e-01 2.650260e-01 [121] 1.443744e-01 5.619057e-01 2.759585e-01 2.183266e-01 1.871664e-01 [126] 3.769923e-01 5.986330e-01 1.900151e-02 4.853763e-01 1.200944e-01 [131] 5.380459e-01 1.664630e+00 3.029607e-01 1.074150e-01 7.328213e-01 [136] 4.974574e-01 5.954176e-01 1.603342e-01 1.278422e-01 8.293673e-01 [141] 2.851252e-01 2.154177e-01 1.124646e-01 2.271169e-01 1.495835e-02 [146] 2.635622e-01 5.519712e-01 3.048222e-02 4.101170e-01 2.625853e-01 [151] 1.072021e+00 5.667924e-01 6.062274e-03 5.326709e-02 8.327950e-01 [156] 5.661065e-01 2.617166e-02 1.367271e-02 1.347986e-01 3.069115e-01 [161] 3.139308e-02 1.415408e-01 7.408396e-01 8.561622e-02 1.929855e-02 [166] 3.482075e-01 1.378515e+00 3.633097e-01 9.307701e-01 2.705596e-02 [171] 4.819645e-01 5.080910e-02 1.619515e-01 2.663098e-01 1.655362e-01 [176] 2.851095e-01 6.331159e-02 4.652630e-01 2.217850e-02 7.509440e-01 [181] 6.146899e-02 5.420889e-01 3.811097e-01 3.391958e-01 1.021633e-01 [186] 4.497539e-01 1.417192e-01 3.406175e-02 6.588549e-02 1.996103e-01 [191] 5.444437e-01 2.941511e-02 5.494476e-01 1.100657e+00 2.136929e-01 [196] 3.883984e-02 5.335635e-01 5.708367e-02 2.037577e-01 6.248617e-01 [201] 2.153134e-01 2.747501e-01 9.063168e-01 1.781899e-01 9.413949e-02 [206] 1.925300e-03 3.484707e-01 3.854375e-01 1.585758e-01 3.741745e-01 [211] 1.133274e-01 1.191999e-01 2.990722e-02 4.708379e-01 2.764131e-01 [216] 3.016411e-01 5.787220e-01 3.625948e-01 2.580400e-01 3.351181e-01 [221] 1.618615e-02 7.957109e-02 1.555138e-01 1.549356e-01 6.864380e-02 [226] 2.403517e-01 1.160969e-01 3.724989e-01 4.709079e-01 8.752694e-01 [231] 3.761127e-02 4.568186e-01 1.210886e+00 1.211344e-01 1.860435e-01 [236] 5.512685e-02 1.076595e-02 2.200388e-01 2.839500e-01 1.809293e-01 [241] 7.698314e-01 4.973191e-01 8.100756e-01 2.161683e-01 1.663429e-01 [246] 1.004414e-02 1.585407e-01 2.191440e-01 3.320191e-01 8.957846e-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/3nqa31228286649.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/1i3cl1228286649.ps tmp/1i3cl1228286649.png") > system("convert tmp/23b6q1228286649.ps tmp/23b6q1228286649.png") > system("convert tmp/3nqa31228286649.ps tmp/3nqa31228286649.png") > > > proc.time() user system elapsed 1.906 1.017 2.035