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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/1ukpg1228250233.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 -3 -4 -3 -4 -3 -2 -3 -2 -3 -2 -3 -4 -3 -4 -3 [19] -2 -1 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 0 -1 0 1 0 1 [37] 2 3 2 1 0 1 0 -1 0 -1 -2 -1 -2 -3 -2 -3 -2 -3 [55] -4 -5 -4 -3 -2 -1 0 1 0 -1 -2 -3 -2 -1 0 -1 -2 -3 [73] -2 -3 -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 -4 -5 [91] -6 -5 -4 -3 -2 -1 -2 -1 0 1 2 3 4 3 2 3 4 5 [109] 4 5 4 3 4 3 4 5 6 5 6 5 6 5 4 3 4 3 [127] 2 1 0 1 0 -1 0 -1 0 1 2 1 2 3 4 5 4 3 [145] 2 3 2 1 2 3 2 3 4 3 2 1 2 1 0 1 2 1 [163] 2 1 0 1 2 3 4 3 4 3 4 3 4 3 2 1 0 -1 [181] -2 -3 -2 -1 0 -1 0 -1 0 1 0 1 2 1 0 -1 -2 -1 [199] -2 -3 -4 -5 -6 -7 -6 -7 -6 -7 -8 -7 -8 -7 -6 -7 -6 -7 [217] -8 -7 -8 -7 -8 -9 -10 -11 -10 -11 -10 -9 -8 -7 -6 -7 -6 -7 [235] -8 -7 -8 -9 -10 -11 -12 -11 -10 -9 -8 -7 -6 -5 -4 -5 -6 -7 [253] -8 -9 -8 -9 -10 -11 -10 -9 -10 -11 -10 -9 -10 -11 -12 -13 -14 -13 [271] -14 -15 -16 -15 -16 -17 -18 -17 -18 -17 -16 -15 -16 -17 -18 -19 -18 -17 [289] -18 -17 -18 -17 -16 -17 -18 -17 -18 -19 -18 -19 -20 -19 -20 -19 -20 -21 [307] -20 -19 -18 -19 -18 -19 -20 -19 -18 -17 -16 -15 -16 -17 -16 -15 -14 -13 [325] -14 -15 -14 -13 -12 -11 -12 -11 -12 -11 -12 -11 -10 -9 -10 -9 -8 -9 [343] -8 -7 -6 -7 -6 -5 -4 -3 -2 -3 -4 -3 -4 -5 -6 -5 -4 -3 [361] -2 -3 -4 -3 -4 -5 -4 -5 -4 -3 -4 -3 -4 -5 -4 -5 -6 -5 [379] -6 -5 -4 -5 -4 -3 -2 -3 -2 -1 -2 -1 0 1 0 1 0 1 [397] 0 -1 0 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -4 -5 [415] -6 -5 -4 -5 -4 -3 -4 -3 -2 -1 -2 -3 -4 -5 -4 -5 -6 -7 [433] -8 -9 -10 -9 -10 -11 -12 -13 -12 -13 -14 -13 -14 -15 -16 -17 -16 -17 [451] -18 -19 -20 -21 -22 -21 -20 -21 -22 -23 -22 -21 -22 -21 -20 -19 -18 -19 [469] -18 -19 -20 -21 -20 -19 -20 -19 -18 -17 -16 -17 -18 -19 -20 -19 -20 -19 [487] -20 -19 -18 -17 -16 -15 -16 -17 -16 -17 -16 -15 -16 -15 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2qfdo1228250233.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] 3.584810e+02 5.167577e+03 1.005763e+03 8.650163e+02 2.387657e+01 [6] 3.625269e+02 2.006587e+02 1.415829e+02 1.512310e+00 4.310122e+00 [11] 1.068600e+02 2.459881e+01 1.045854e+01 9.983987e+01 3.875835e+00 [16] 2.160899e+01 6.595251e-01 1.678340e+01 4.657895e+00 3.434760e+01 [21] 4.996416e-03 1.918270e+01 1.971955e+01 4.572198e+00 3.113228e+00 [26] 4.393079e+01 1.309615e+01 2.538978e+01 1.391502e+00 2.637385e+00 [31] 1.016251e+01 1.221543e+01 7.209211e+00 6.872212e+00 6.302607e+00 [36] 1.856903e-01 1.823510e+00 1.501746e+00 5.718256e-01 1.585064e+00 [41] 6.225072e-01 7.122610e-02 1.027168e+01 1.386644e-02 4.317710e+00 [46] 2.682645e+00 1.206038e+00 4.156714e+00 4.627304e-01 2.400691e+00 [51] 3.011943e-01 6.090032e-01 2.274123e-01 1.390834e+00 2.766132e-01 [56] 1.320839e+00 5.142949e+00 1.039065e+00 2.205213e+00 1.162183e+00 [61] 2.876045e+00 2.278074e+00 4.410524e-01 2.712931e-01 2.277115e+00 [66] 4.173653e-01 1.718106e+00 5.757483e+00 6.442231e-01 8.396094e-01 [71] 6.291166e-02 4.189916e+00 1.486830e+00 3.207638e+00 1.116797e+00 [76] 1.670604e+00 2.194065e+00 8.223145e-01 1.571611e+00 4.136859e+00 [81] 3.364126e-01 1.758604e-01 1.438235e+00 1.702612e-01 2.793270e-01 [86] 2.178461e-01 1.813461e-01 1.366641e+00 2.535231e+00 2.092601e-01 [91] 9.141832e-03 1.735065e+00 5.853711e-01 1.441413e+00 1.190883e-02 [96] 1.856918e+00 5.298471e-01 1.799397e-01 1.082740e+00 3.525659e-02 [101] 4.666656e-01 1.052026e+00 1.740097e-01 7.473723e-01 6.390492e-01 [106] 1.982684e-01 1.536064e-02 3.935686e-02 3.582108e-01 1.116410e-01 [111] 4.767012e-01 1.201922e+00 1.291479e-01 1.827835e-02 1.172189e-01 [116] 2.293252e-01 8.039215e-01 1.167259e-02 3.311331e-01 1.035770e+00 [121] 3.407683e-01 7.088739e-01 6.588424e-01 1.156308e+00 3.801073e-01 [126] 3.621933e-01 4.760329e-02 2.564952e-01 8.880816e-02 8.619337e-01 [131] 8.854204e-01 2.819499e-01 2.162507e-01 1.828182e-01 1.888945e-01 [136] 8.497405e-01 1.199609e+00 4.224735e-02 2.440441e-01 6.183638e-02 [141] 8.846550e-01 1.478154e-01 1.932647e-02 6.589978e-01 3.240295e-01 [146] 4.354821e-02 1.268089e+00 1.922510e-01 1.171015e+00 2.113683e-01 [151] 4.002024e-01 6.061704e-01 1.186968e-01 2.930785e-01 9.390918e-02 [156] 1.950756e-02 1.458045e-01 1.200704e-01 7.046155e-01 7.604659e-02 [161] 1.796490e-01 2.825048e-01 9.239368e-02 2.399111e-01 6.824151e-01 [166] 4.941468e-01 1.537851e-01 1.811056e-01 1.877762e+00 9.444178e-01 [171] 3.848763e-01 1.025614e-01 1.638362e-01 1.437799e-02 1.010181e+00 [176] 6.132404e-01 5.222005e-01 3.443548e-01 6.653605e-01 3.573430e-02 [181] 7.262430e-02 5.604592e-01 8.040113e-01 9.112883e-01 1.068749e-02 [186] 3.004056e-02 1.200549e-01 3.945187e-01 3.757936e-01 9.230313e-02 [191] 1.042143e+00 2.066992e-01 8.694852e-02 2.531984e-01 1.326255e-01 [196] 2.141755e-01 5.456399e-01 1.029522e-02 4.150287e-01 1.576092e-02 [201] 1.496588e+00 1.107853e-02 3.059793e-01 9.894729e-02 5.226129e-02 [206] 2.989397e-01 3.634636e-01 3.099283e-02 2.248772e-01 8.801931e-03 [211] 9.159503e-02 1.651273e-01 2.880613e-01 1.021570e-01 4.251443e-01 [216] 1.145157e-01 1.525966e-01 2.259249e-01 6.351595e-02 1.290480e-01 [221] 5.245147e-01 3.258683e-01 2.516634e-01 5.079107e-01 1.665606e-01 [226] 4.798668e-01 3.914354e-01 3.677183e-01 4.630061e-02 1.809394e-01 [231] 6.771134e-02 1.054600e-01 5.194425e-01 1.231203e-01 5.910312e-02 [236] 1.686202e-02 1.468935e-02 5.723545e-02 3.608894e-01 3.081292e-01 [241] 3.397066e-01 4.658134e-01 5.771896e-02 7.155619e-02 7.985853e-02 [246] 3.329775e-02 3.928214e-02 3.139348e-01 5.808939e-01 6.292686e-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/3zszp1228250233.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/1ukpg1228250233.ps tmp/1ukpg1228250233.png") > system("convert tmp/2qfdo1228250233.ps tmp/2qfdo1228250233.png") > system("convert tmp/3zszp1228250233.ps tmp/3zszp1228250233.png") > > > proc.time() user system elapsed 1.938 1.031 2.053