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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/1fato1228146424.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 -5 -6 -7 -6 -5 -4 -3 -2 -1 0 1 0 -1 [19] -2 -3 -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 -2 -3 -4 -5 -6 -5 [37] -4 -5 -4 -3 -4 -5 -4 -5 -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 [55] -8 -9 -8 -7 -8 -9 -10 -9 -10 -11 -12 -13 -14 -15 -14 -13 -14 -15 [73] -14 -13 -12 -11 -10 -9 -8 -7 -6 -7 -8 -7 -8 -9 -8 -7 -8 -9 [91] -8 -7 -6 -7 -8 -9 -8 -9 -10 -11 -12 -13 -12 -13 -12 -13 -14 -15 [109] -14 -15 -16 -17 -16 -15 -14 -15 -14 -13 -14 -13 -14 -13 -14 -13 -12 -11 [127] -10 -11 -10 -9 -10 -9 -10 -11 -12 -11 -10 -11 -10 -9 -10 -9 -10 -11 [145] -12 -11 -10 -9 -8 -9 -8 -9 -8 -9 -8 -9 -8 -7 -8 -7 -8 -7 [163] -8 -7 -8 -7 -8 -7 -8 -7 -6 -7 -8 -7 -8 -7 -6 -5 -6 -7 [181] -6 -7 -6 -7 -6 -5 -6 -7 -8 -9 -8 -7 -8 -7 -6 -5 -4 -3 [199] -2 -3 -2 -3 -2 -3 -2 -3 -2 -3 -2 -1 0 -1 0 -1 0 1 [217] 2 3 4 3 4 3 4 3 4 5 4 5 6 5 4 3 2 3 [235] 2 3 4 3 2 3 2 3 4 3 2 3 4 3 4 5 4 3 [253] 4 3 4 5 4 3 2 1 2 1 2 1 2 1 2 1 2 3 [271] 2 1 0 -1 0 1 2 1 0 -1 -2 -1 -2 -1 0 1 2 3 [289] 4 3 4 3 4 3 4 5 4 3 4 3 2 3 2 3 4 5 [307] 6 5 6 7 6 5 4 5 6 7 6 7 6 5 4 5 6 5 [325] 6 7 6 5 6 5 6 7 8 7 8 7 8 9 10 9 8 7 [343] 8 7 8 9 10 11 12 11 10 9 8 9 8 9 10 9 10 9 [361] 8 7 8 9 10 11 10 9 8 9 8 9 10 11 10 11 12 13 [379] 14 15 16 15 14 13 14 15 14 13 12 11 10 11 12 13 12 11 [397] 12 13 14 13 14 15 14 13 14 13 12 11 10 11 12 13 12 11 [415] 10 11 10 11 12 13 12 11 12 11 10 9 8 9 10 11 12 11 [433] 10 11 12 13 14 15 14 13 14 15 14 15 16 15 16 17 18 17 [451] 18 17 18 17 16 17 16 15 16 17 16 15 14 13 14 13 12 11 [469] 12 11 10 9 8 7 8 7 6 7 8 7 8 7 8 7 8 9 [487] 8 9 10 11 10 9 10 9 8 9 8 7 6 7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/27k5e1228146424.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] 1.386009e+03 2.908294e+02 7.462737e+02 6.159488e-01 2.026083e+02 [6] 2.654686e+01 2.631973e+02 7.636752e+01 4.344736e+00 1.036324e+02 [11] 1.250814e+02 7.572947e+01 1.767255e+00 4.712125e+01 3.683071e+01 [16] 2.062972e+00 8.560868e+00 1.123665e+00 5.568531e-01 8.005515e+00 [21] 1.046873e+01 2.037975e+01 1.661837e+01 3.899630e+00 7.384096e+00 [26] 6.802575e+00 5.782235e+00 2.356660e+01 1.501369e+00 4.992160e+00 [31] 5.875307e+00 1.823515e+00 5.429017e+00 1.091002e+00 1.637045e+00 [36] 2.973970e+00 1.827794e+00 1.990401e+00 1.678699e+00 1.085895e+00 [41] 2.819386e+00 1.257576e+00 1.558410e+00 5.490969e+00 1.792499e+00 [46] 1.140660e+00 1.457602e+00 1.282622e+00 4.541227e+00 1.084051e+01 [51] 7.923133e+00 1.656200e+00 1.937646e+00 1.752326e+00 3.123380e+00 [56] 8.530570e-01 4.564103e+00 2.497115e+00 6.254956e-02 5.603950e-01 [61] 1.080862e+00 4.557265e+00 3.691693e+00 3.484090e+00 1.682297e+00 [66] 8.828832e-01 2.151316e-01 8.027135e-02 2.476257e+00 6.857007e-01 [71] 1.625104e+00 1.349365e+00 3.120570e+00 8.582797e-01 2.719547e+00 [76] 8.856269e-01 2.788481e+00 2.509775e+00 1.034877e+00 1.624781e+00 [81] 1.469578e-01 2.815326e+00 1.690345e+00 2.276417e-01 8.508038e-01 [86] 4.857499e-01 1.697068e+00 2.965884e-01 1.755640e+00 2.829559e+00 [91] 4.698577e-01 1.055357e+00 6.161266e-02 3.058559e-01 1.813086e-02 [96] 7.042363e-01 2.023002e-01 1.943076e-01 3.024642e-02 1.561242e-01 [101] 9.531695e-01 7.746503e-01 6.640805e-02 6.958350e-01 5.966765e-02 [106] 2.900871e-01 7.376372e-02 4.307868e-03 4.155396e-01 5.998237e-01 [111] 4.949365e-02 5.931831e-02 1.408172e+00 3.724642e-01 2.687160e-01 [116] 1.253170e+00 4.744057e-01 7.656995e-01 1.231818e+00 4.362524e-01 [121] 2.725758e-01 5.462162e-02 2.309928e-01 4.652217e-01 8.340808e-01 [126] 3.321063e-01 1.626159e-01 5.422912e-01 2.935470e-01 1.726910e-02 [131] 2.332788e-02 2.112614e-02 9.802130e-01 1.208432e+00 4.958534e-01 [136] 6.702920e-01 7.048076e-01 1.526275e-01 3.579171e-01 2.441156e-01 [141] 7.312916e-01 7.508541e-02 3.903033e-01 5.331290e-01 8.012960e-01 [146] 9.790222e-01 8.776858e-02 2.309910e-01 1.102092e-01 5.150443e-01 [151] 1.076603e+00 1.660692e-01 2.057073e-01 4.798630e-01 5.173813e-02 [156] 5.203159e-01 3.953951e-01 8.668191e-02 3.630459e-01 3.997400e-03 [161] 6.238606e-01 6.754749e-01 8.235938e-02 1.934709e+00 6.740865e-02 [166] 2.394513e-02 1.385430e+00 6.402816e-01 1.245256e-01 1.744446e-01 [171] 1.787680e-01 2.295511e-01 6.994974e-02 2.531193e-01 2.104814e-01 [176] 6.044814e-02 2.556079e-01 2.533729e-01 6.150991e-02 2.832070e-01 [181] 1.576272e-01 1.106488e-01 1.951153e-01 5.875994e-01 6.535901e-01 [186] 2.351759e-01 3.513417e-01 3.165466e-01 9.453314e-02 3.324762e-01 [191] 2.721055e-01 1.443784e-01 4.938479e-02 3.683876e-01 6.838598e-03 [196] 1.307744e-01 1.143413e-01 2.659817e-01 1.056997e-01 5.232919e-03 [201] 3.500833e-02 3.396689e-01 3.113516e-01 2.487818e-01 5.305642e-02 [206] 1.399280e-01 4.425608e-01 1.503167e-02 3.292429e-01 3.217655e-02 [211] 9.621399e-02 1.485722e-02 5.401503e-01 3.082988e-01 3.185166e-01 [216] 1.990316e-01 1.127767e-01 5.723762e-01 5.354159e-02 3.119380e-02 [221] 4.017318e-01 6.175071e-01 9.318324e-03 2.036446e-01 2.202145e-01 [226] 2.231333e-01 2.416642e-01 1.529026e+00 1.095562e-02 3.822266e-01 [231] 3.167670e-01 3.482964e-01 2.232236e-01 2.357998e-01 2.910813e-02 [236] 8.350856e-01 5.107489e-01 1.850851e-01 1.073347e-01 8.396481e-01 [241] 4.319650e-01 1.018944e+00 4.663447e-01 3.904124e-01 2.882764e-02 [246] 6.541896e-01 6.451705e-02 3.526241e-01 9.273506e-02 9.469054e-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/3mrn81228146424.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/1fato1228146424.ps tmp/1fato1228146424.png") > system("convert tmp/27k5e1228146424.ps tmp/27k5e1228146424.png") > system("convert tmp/3mrn81228146424.ps tmp/3mrn81228146424.png") > > > proc.time() user system elapsed 1.908 1.013 2.038