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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/1p0kf1228220169.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 -1 0 1 0 1 2 3 2 3 2 1 [19] 0 -1 0 1 0 1 0 1 2 1 2 3 2 3 2 1 2 1 [37] 2 1 0 1 2 1 2 3 2 3 2 1 0 -1 -2 -3 -2 -1 [55] -2 -1 -2 -3 -2 -1 -2 -1 -2 -1 0 1 0 1 2 3 4 5 [73] 4 5 4 3 2 3 4 3 2 1 0 -1 0 1 2 3 2 3 [91] 2 3 4 5 6 7 8 7 8 7 6 5 4 3 2 3 2 3 [109] 2 3 4 5 4 3 4 3 4 5 6 7 6 7 6 5 4 3 [127] 4 5 6 7 6 7 8 7 6 5 4 3 4 3 2 1 2 1 [145] 0 -1 0 1 0 1 2 1 0 1 0 1 0 1 0 1 2 3 [163] 2 1 2 3 4 3 2 3 2 1 0 -1 0 -1 -2 -1 0 -1 [181] 0 -1 0 -1 -2 -1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 -2 -3 [199] -2 -3 -4 -5 -6 -5 -4 -5 -4 -3 -4 -3 -4 -3 -4 -3 -2 -3 [217] -4 -5 -4 -3 -4 -3 -4 -5 -6 -5 -4 -3 -4 -3 -4 -5 -4 -3 [235] -2 -1 -2 -1 -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 -4 -5 -4 -3 [253] -4 -3 -2 -1 0 -1 0 -1 -2 -3 -2 -3 -4 -5 -6 -5 -6 -5 [271] -4 -3 -4 -3 -4 -5 -4 -5 -6 -5 -4 -3 -4 -3 -4 -3 -2 -3 [289] -4 -3 -4 -3 -2 -3 -4 -5 -6 -5 -6 -5 -6 -7 -8 -9 -10 -11 [307] -10 -9 -10 -11 -12 -11 -12 -13 -14 -15 -14 -13 -14 -15 -16 -17 -16 -17 [325] -16 -15 -14 -13 -12 -11 -10 -9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 [343] -2 -3 -4 -3 -2 -3 -4 -3 -2 -3 -2 -3 -2 -1 -2 -1 0 1 [361] 0 -1 0 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -1 0 1 2 1 [379] 2 3 4 5 6 7 6 5 6 5 4 3 2 1 0 1 0 1 [397] 0 1 2 1 0 1 0 1 2 3 4 5 6 5 4 3 2 3 [415] 4 5 4 3 4 3 4 5 6 5 4 5 6 7 8 7 6 5 [433] 6 7 8 7 6 7 8 9 10 9 8 7 6 7 8 7 6 7 [451] 6 7 8 7 8 9 8 9 8 7 6 5 6 5 6 5 4 5 [469] 6 5 6 5 4 3 4 3 4 3 2 1 2 1 2 3 4 5 [487] 4 3 2 3 2 3 4 3 4 3 2 1 0 -1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2s1qc1228220169.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] 2.753111e+03 1.511018e+03 7.269411e+02 1.783615e+02 1.616820e+02 [6] 3.747999e+02 4.563551e+01 2.598734e+01 8.847883e+01 7.316726e+01 [11] 6.318082e+01 8.339137e+01 2.404678e+01 1.348328e+01 9.585307e+00 [16] 5.255552e+01 1.476838e+01 1.545805e+01 3.450138e+01 2.215720e+01 [21] 7.109559e+01 1.121779e+01 1.159069e+01 2.266880e+01 7.375723e+00 [26] 5.328219e+00 8.129914e-01 1.794629e+01 5.795070e+00 3.979506e-01 [31] 3.134653e+00 7.048649e-01 1.131201e+01 3.053338e+00 5.841622e+00 [36] 1.150305e+00 4.339323e+00 1.947502e-01 3.232046e+00 5.651331e+00 [41] 1.373848e-01 1.375128e-01 5.068117e+00 6.432464e+00 4.236216e+00 [46] 2.110068e+00 6.956345e+00 5.607546e-01 5.151997e-01 5.697585e+00 [51] 1.936670e+00 5.505707e+00 3.146433e+00 1.955595e+00 7.581280e-01 [56] 1.360890e+00 2.438584e+00 3.627537e-01 2.605092e+00 1.006726e+00 [61] 3.870601e+00 1.505100e+00 2.400779e+00 2.149336e+00 3.074369e-02 [66] 1.449546e-01 7.268155e-01 2.369127e+00 4.050704e-02 2.014424e+00 [71] 3.519123e-01 1.846437e-01 2.259062e+00 6.806233e-01 2.667161e+00 [76] 4.401534e-01 1.217457e+00 2.067063e+00 2.705853e+00 7.064066e-01 [81] 2.196712e-02 2.704004e+00 1.188601e+00 2.030022e+00 2.926339e+00 [86] 1.572951e+00 1.586649e+00 7.228664e-01 7.529399e-01 1.038772e-01 [91] 9.199552e-01 6.118328e-01 2.585418e-01 7.610633e-01 3.138305e-01 [96] 7.889010e-02 3.406909e-01 7.747593e-01 1.008745e+00 6.659818e-02 [101] 2.618214e-02 7.352442e-03 2.643795e+00 3.803027e-01 5.147633e-01 [106] 1.144353e+00 1.007994e+00 6.778187e-01 3.643083e-01 6.712144e-01 [111] 5.343097e-01 4.627148e-01 1.280441e-01 1.219763e-01 8.840285e-01 [116] 1.397196e+00 1.954654e-01 2.137691e-01 1.768712e+00 3.685056e-02 [121] 4.575564e-01 8.955804e-02 6.292045e-01 6.476395e-01 2.572632e+00 [126] 2.650231e-01 9.085833e-01 1.115572e-01 3.178845e-03 5.215867e-02 [131] 2.271100e-01 1.462611e-01 2.338772e-01 5.326775e-01 3.226251e-01 [136] 8.043158e-03 5.981884e-01 8.996470e-01 5.596828e-01 2.745437e-01 [141] 3.941338e-01 1.096173e-02 3.471906e-01 8.525451e-01 4.565733e-01 [146] 2.336441e-01 1.185524e-01 2.466841e-02 4.793505e-02 5.750894e-02 [151] 2.492444e-01 3.032807e-01 4.708020e-01 2.498303e-01 2.311857e-02 [156] 5.582619e-01 1.530083e-01 2.112831e-01 6.991417e-01 5.432349e-01 [161] 4.208110e-01 4.677720e-02 1.026580e-01 5.134157e-01 1.561543e+00 [166] 5.801855e-01 4.219405e-02 4.057947e-02 8.482518e-01 2.480337e-03 [171] 4.102416e-01 9.993805e-01 2.663220e-01 1.131151e-01 2.488237e-01 [176] 1.584826e-01 7.358870e-01 4.748609e-02 2.929305e-01 1.882918e-01 [181] 2.893721e-01 9.197590e-01 1.666958e-01 3.577176e-01 2.043533e-02 [186] 2.432757e-01 7.854753e-02 1.981188e-01 1.084269e+00 6.397187e-02 [191] 1.742428e-01 3.543536e-01 4.814399e-01 1.656653e-01 5.985029e-01 [196] 1.387697e-01 5.421580e-01 4.004867e-02 2.854030e-01 1.404547e-01 [201] 1.626685e-01 1.010436e-01 2.509430e-01 3.919655e-01 2.487175e-01 [206] 3.902937e-01 2.497789e-01 1.938404e-01 8.231921e-02 2.795507e-01 [211] 3.733792e-02 3.304231e-01 1.707535e-01 2.653429e-01 1.276947e-01 [216] 7.800932e-01 3.822774e-01 1.338155e-01 9.067641e-01 1.047409e-01 [221] 2.149286e-01 3.103952e-02 5.640884e-02 7.682116e-02 5.124966e-01 [226] 2.526557e-01 5.506980e-02 2.272254e-01 8.891518e-02 1.052673e-02 [231] 1.446380e-01 1.440447e-04 5.550758e-01 3.639056e-01 4.778988e-02 [236] 1.435641e-01 2.359925e-02 5.214140e-01 6.512078e-02 2.828281e-01 [241] 6.481892e-01 1.015826e-01 3.824277e-01 2.237064e-01 9.818900e-06 [246] 1.287429e-02 3.283215e-01 2.995120e-01 1.897620e-01 9.376643e-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/3s9ib1228220169.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/1p0kf1228220169.ps tmp/1p0kf1228220169.png") > system("convert tmp/2s1qc1228220169.ps tmp/2s1qc1228220169.png") > system("convert tmp/3s9ib1228220169.ps tmp/3s9ib1228220169.png") > > > proc.time() user system elapsed 0.808 0.600 0.977