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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/1fq6y1228217800.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 2 1 0 1 0 -1 0 1 2 1 0 -1 0 1 [19] 0 -1 0 -1 -2 -3 -2 -3 -2 -3 -2 -3 -4 -5 -6 -7 -6 -5 [37] -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 -4 -5 -6 -5 -6 -7 -6 -5 [55] -6 -5 -6 -7 -6 -7 -6 -5 -6 -5 -6 -5 -4 -5 -6 -5 -6 -5 [73] -4 -3 -2 -1 0 1 2 1 0 -1 0 -1 -2 -3 -4 -3 -4 -5 [91] -6 -5 -6 -7 -6 -7 -8 -7 -8 -9 -10 -9 -10 -11 -12 -11 -12 -11 [109] -12 -13 -14 -13 -12 -11 -10 -11 -12 -11 -10 -9 -8 -7 -8 -7 -6 -5 [127] -6 -5 -6 -5 -6 -5 -6 -7 -6 -7 -6 -5 -6 -5 -6 -7 -6 -5 [145] -4 -3 -4 -5 -4 -5 -4 -3 -4 -3 -4 -5 -6 -5 -6 -5 -4 -5 [163] -4 -3 -2 -1 -2 -1 0 1 0 1 2 3 4 5 4 3 2 3 [181] 4 3 2 1 2 3 2 1 0 1 0 1 0 1 2 1 2 1 [199] 2 3 4 3 4 3 4 5 4 3 2 1 2 1 0 -1 -2 -3 [217] -4 -3 -2 -3 -4 -5 -4 -5 -4 -5 -6 -5 -6 -5 -6 -7 -8 -9 [235] -10 -9 -8 -7 -8 -9 -10 -9 -8 -7 -6 -5 -4 -3 -4 -5 -4 -3 [253] -4 -3 -4 -5 -6 -7 -6 -7 -6 -7 -8 -9 -10 -11 -10 -11 -10 -11 [271] -10 -9 -8 -9 -10 -11 -10 -9 -8 -9 -10 -9 -8 -7 -6 -5 -6 -5 [289] -4 -3 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -12 -13 -14 -15 [307] -14 -13 -14 -13 -14 -15 -14 -13 -12 -13 -14 -13 -14 -15 -16 -17 -18 -19 [325] -18 -19 -18 -19 -18 -19 -18 -19 -18 -17 -16 -15 -16 -17 -18 -17 -18 -17 [343] -18 -17 -16 -17 -16 -15 -16 -15 -14 -15 -14 -15 -16 -15 -14 -15 -16 -15 [361] -14 -15 -16 -17 -16 -15 -16 -17 -16 -17 -18 -19 -20 -21 -20 -19 -18 -17 [379] -18 -17 -18 -17 -18 -19 -18 -19 -20 -19 -20 -19 -18 -17 -16 -15 -14 -13 [397] -12 -13 -12 -11 -10 -9 -8 -7 -6 -7 -6 -7 -6 -7 -6 -5 -6 -7 [415] -6 -7 -8 -7 -6 -5 -6 -7 -6 -7 -6 -7 -8 -7 -8 -7 -6 -7 [433] -6 -5 -4 -3 -2 -3 -2 -3 -4 -3 -4 -5 -6 -5 -6 -7 -6 -5 [451] -4 -3 -4 -5 -6 -7 -6 -5 -4 -5 -4 -5 -4 -3 -4 -5 -6 -7 [469] -6 -7 -8 -7 -8 -7 -6 -7 -8 -9 -10 -11 -12 -11 -12 -11 -10 -9 [487] -10 -11 -10 -9 -8 -7 -6 -5 -6 -7 -8 -7 -8 -9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/24e3h1228217800.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] 6.561895e+02 3.779272e+03 7.697230e+01 1.077095e+03 6.271406e+01 [6] 1.177164e+02 1.463803e+02 3.310006e+01 3.680754e+02 2.247083e+01 [11] 7.702811e+01 1.252331e+02 1.068209e+02 3.716446e+01 1.909102e+01 [16] 3.592583e+00 6.070345e+01 2.080338e+01 3.685990e+01 5.766815e+00 [21] 2.746140e+01 1.327770e+01 1.947957e+01 3.952589e+01 9.190159e-01 [26] 2.406244e+00 5.040976e-01 1.768687e+01 2.680589e+00 5.813416e-01 [31] 3.385097e+00 5.120536e-01 6.872562e+00 6.921325e+00 7.853514e+00 [36] 3.326285e-01 5.123405e+00 3.318596e+00 9.549669e-01 2.268476e+00 [41] 1.380448e+00 2.389818e+00 2.558772e+00 2.377430e+00 5.541624e-01 [46] 2.287216e+00 2.953742e+00 4.802074e-01 1.444261e+00 7.069055e-01 [51] 4.083722e-01 2.797873e+00 5.367422e-01 1.859521e-01 7.572378e-01 [56] 2.075072e+00 4.894006e+00 7.704978e-01 1.132830e+00 5.859152e+00 [61] 2.865538e+00 4.275522e-02 6.847351e-01 2.594925e+00 4.819755e+00 [66] 5.249460e-01 4.713400e-01 4.740606e-01 1.017629e+00 4.662369e-01 [71] 1.960974e-01 7.263262e-01 4.973164e-01 7.897736e-01 1.374868e+00 [76] 1.456037e+00 2.074686e+00 2.965873e-01 3.082922e-01 6.251238e-01 [81] 1.971319e+00 5.695828e+00 3.455590e+00 1.670120e-01 1.639252e+00 [86] 1.339582e+00 1.461556e+00 4.392377e-01 6.798566e-02 1.200480e+00 [91] 1.591982e-01 1.870010e+00 7.306409e-01 1.882168e-01 5.599133e-01 [96] 7.639554e-01 4.176234e+00 1.212362e+00 6.750068e-02 5.855605e-01 [101] 1.592300e-01 1.097935e+00 1.015921e+00 8.633809e-01 3.195621e-02 [106] 1.106561e+00 3.807580e-01 5.614110e-02 2.779297e-01 5.341107e-02 [111] 3.558315e-02 7.766422e-01 8.471747e-01 6.937827e-01 4.146567e-02 [116] 8.010668e-02 1.046628e+00 4.389579e-02 6.039243e-01 7.323076e-01 [121] 2.770375e-01 3.862515e-01 2.748388e-01 5.991330e-02 1.607594e-02 [126] 3.456109e-02 1.942155e-01 1.417160e+00 6.048433e-01 3.658578e-01 [131] 7.953862e-02 2.401046e-01 1.632149e-01 7.417836e-01 2.699882e-01 [136] 2.836897e-03 5.973060e-01 1.549238e-02 7.882661e-03 5.395354e-01 [141] 3.760128e-01 2.016031e-01 4.115627e-02 3.611150e-01 7.468402e-02 [146] 3.444525e-01 1.461871e-01 2.239779e-01 1.344932e-02 3.302048e-01 [151] 2.791123e-01 1.036741e-01 8.190164e-01 4.494817e-01 6.037436e-01 [156] 2.763515e-02 2.372148e-01 3.563538e-02 3.052198e-02 6.397903e-02 [161] 4.246259e-01 4.435316e-01 4.067343e-01 1.356978e-01 9.924175e-01 [166] 3.539093e-01 1.708694e-01 4.123451e-01 1.211649e-01 8.082570e-02 [171] 1.616230e-01 4.163359e-01 5.785767e-01 1.787801e-01 1.342594e-01 [176] 1.059086e+00 8.421702e-01 5.137468e-01 9.030391e-02 3.726896e-01 [181] 3.100189e-02 8.339463e-03 4.487955e-01 1.536342e+00 4.248442e-01 [186] 1.069722e+00 9.063374e-01 2.370237e-01 7.942479e-02 3.302154e-01 [191] 2.626467e-01 2.028904e-01 2.644187e-01 1.556959e-02 6.431472e-01 [196] 8.496215e-03 3.347308e-02 4.272208e-01 9.828419e-02 2.982713e-01 [201] 2.432068e-01 3.130686e-01 1.111049e-01 6.341526e-02 4.801031e-01 [206] 7.490567e-03 5.847840e-01 5.306467e-01 1.845262e-02 9.237364e-01 [211] 9.099650e-02 7.202206e-01 2.098515e-01 6.350269e-02 3.514224e-02 [216] 1.569559e-02 2.252345e-01 1.553599e-02 1.599555e-01 1.475192e-01 [221] 2.831403e-01 5.367733e-01 1.702998e-01 1.866311e-01 1.427066e-01 [226] 8.317666e-01 3.471530e-01 2.628432e-02 3.314067e-02 8.322947e-02 [231] 5.680019e-01 8.207190e-02 2.427351e-01 5.921504e-01 2.324806e-01 [236] 3.301965e-01 1.230502e-02 1.213170e-01 2.671705e-01 2.729125e-01 [241] 4.460908e-01 7.753288e-01 1.672146e-01 5.641861e-02 5.536761e-02 [246] 2.034726e-01 7.150502e-02 3.647015e-01 7.476836e-01 4.948386e-05 $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/3zhfm1228217800.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/1fq6y1228217800.ps tmp/1fq6y1228217800.png") > system("convert tmp/24e3h1228217800.ps tmp/24e3h1228217800.png") > system("convert tmp/3zhfm1228217800.ps tmp/3zhfm1228217800.png") > > > proc.time() user system elapsed 0.831 0.594 1.099