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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/1mlhb1228156829.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 3 2 1 2 1 2 3 4 3 2 1 2 1 [19] 2 3 4 3 4 3 4 5 6 5 4 5 6 7 8 7 8 9 [37] 8 9 10 9 10 9 10 11 12 13 12 11 10 11 10 11 12 13 [55] 12 13 14 13 12 11 10 9 10 9 8 9 10 9 8 7 8 7 [73] 6 5 6 5 4 3 4 3 2 3 2 1 0 1 0 -1 -2 -3 [91] -4 -3 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 -2 -1 0 1 0 -1 [109] 0 1 2 3 2 1 2 1 2 3 4 5 6 7 8 9 8 9 [127] 8 7 6 5 6 5 6 7 8 9 8 9 8 7 6 5 4 3 [145] 2 3 4 5 6 5 4 3 4 3 4 3 4 5 6 5 4 5 [163] 6 5 4 5 4 3 4 3 2 3 4 3 4 5 6 5 4 3 [181] 2 1 2 1 2 1 2 3 2 3 2 1 2 1 0 -1 0 -1 [199] -2 -3 -4 -3 -2 -3 -2 -3 -4 -5 -4 -3 -4 -3 -4 -5 -6 -7 [217] -8 -7 -6 -7 -8 -9 -10 -11 -12 -13 -12 -11 -12 -11 -12 -11 -12 -11 [235] -12 -11 -12 -11 -12 -11 -12 -13 -12 -13 -14 -13 -12 -11 -12 -13 -14 -13 [253] -14 -13 -14 -15 -14 -13 -14 -15 -14 -13 -14 -13 -14 -13 -12 -13 -14 -15 [271] -14 -13 -12 -13 -14 -13 -12 -13 -12 -13 -14 -15 -14 -15 -16 -15 -14 -15 [289] -16 -15 -16 -15 -16 -17 -16 -17 -18 -17 -18 -17 -16 -15 -14 -13 -14 -15 [307] -14 -13 -12 -11 -12 -11 -12 -13 -14 -15 -14 -15 -16 -17 -18 -19 -20 -21 [325] -22 -21 -22 -21 -22 -23 -24 -23 -24 -25 -26 -27 -28 -27 -28 -27 -28 -29 [343] -30 -29 -30 -31 -32 -31 -30 -31 -32 -33 -32 -31 -30 -29 -30 -29 -30 -31 [361] -32 -33 -32 -31 -32 -33 -32 -31 -30 -31 -30 -31 -30 -29 -30 -29 -28 -29 [379] -28 -27 -28 -29 -30 -29 -30 -29 -28 -29 -30 -29 -28 -29 -30 -29 -28 -29 [397] -28 -29 -30 -29 -28 -29 -30 -29 -28 -29 -28 -27 -28 -27 -26 -27 -26 -25 [415] -24 -23 -22 -23 -24 -23 -24 -25 -26 -27 -28 -29 -30 -29 -28 -29 -28 -27 [433] -28 -27 -26 -25 -26 -27 -26 -25 -24 -25 -26 -27 -26 -25 -26 -25 -26 -25 [451] -24 -25 -26 -25 -24 -25 -24 -23 -24 -23 -22 -21 -22 -21 -22 -21 -22 -21 [469] -20 -21 -22 -21 -20 -19 -20 -21 -20 -19 -20 -19 -18 -17 -16 -17 -18 -19 [487] -18 -19 -20 -21 -20 -21 -20 -21 -20 -21 -22 -21 -22 -23 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2nn931228156829.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] 2.979722e+03 1.205875e+03 8.831741e+02 1.109404e+03 3.381049e+01 [6] 6.040881e+02 2.033558e+02 2.013548e+02 2.378838e+00 1.139294e+02 [11] 1.839411e+01 3.566833e+00 2.165595e+01 2.560471e+01 3.283225e+01 [16] 9.529120e+00 6.325054e+00 1.043507e+01 1.018837e+01 1.372979e+01 [21] 8.223380e-01 1.529234e+01 7.996730e+00 1.496025e+01 1.299224e+01 [26] 5.062483e-01 8.316719e+00 7.619133e-01 6.295546e+00 2.134171e+00 [31] 2.530067e-01 4.789048e+00 3.064215e+00 3.594441e-01 4.286559e+00 [36] 1.431894e+01 1.607085e+01 5.336616e+00 1.617784e+01 2.045742e-01 [41] 7.297530e-01 1.050479e+00 4.047064e+00 5.521714e-01 1.683383e+00 [46] 1.291485e+00 3.888739e-01 3.762649e+00 3.633333e+00 1.998654e+00 [51] 1.303871e+00 5.132312e-03 1.755398e+00 1.708810e+00 7.479752e+00 [56] 2.590529e+00 1.064198e+00 7.111643e-02 7.123351e-01 9.814676e-01 [61] 7.199879e-01 5.849730e-01 9.690282e-01 9.397208e-02 3.872190e+00 [66] 3.267034e+00 8.127891e-01 3.487463e-01 1.040259e+00 9.343661e-01 [71] 3.551091e-01 1.442032e+00 6.946368e-01 3.462953e-01 2.496969e-01 [76] 1.513149e+00 1.360046e+00 9.937981e-02 2.856455e-01 4.116996e-01 [81] 1.136060e+00 1.361855e+00 1.479715e+00 2.113996e+00 6.450372e-01 [86] 3.199583e-02 4.483070e-02 1.721981e-01 7.511346e-01 3.041860e-02 [91] 8.102690e-01 6.952161e-01 6.309381e-01 3.563630e-01 1.827064e-01 [96] 5.259563e-01 2.488932e+00 1.260551e+00 3.932810e+00 1.086113e+00 [101] 1.236046e+00 7.474725e-01 6.279229e-01 8.350582e-01 1.616635e+00 [106] 5.414400e-01 2.655571e-01 6.195943e-01 1.650403e+00 1.170376e+00 [111] 5.017184e-01 3.218997e-01 4.997536e-01 5.163829e-01 1.063691e+00 [116] 8.501305e-01 7.907196e-02 5.034588e-01 5.133217e-01 2.023496e-02 [121] 5.883150e-01 1.715334e-02 1.128307e-01 1.550555e+00 7.541136e-02 [126] 7.191098e-01 7.095578e-02 5.821666e-01 8.981431e-02 3.162948e-01 [131] 1.535234e-01 1.227926e+00 9.335281e-01 4.286222e-01 1.561930e+00 [136] 4.130009e-01 1.041394e+00 1.334533e-01 1.544440e-01 7.845653e-01 [141] 7.415510e-01 6.019731e-01 2.434088e-01 3.269200e-01 7.044560e-01 [146] 9.830749e-03 1.452976e+00 1.270468e-01 1.636785e+00 1.732012e-01 [151] 7.245850e-01 5.907304e-02 1.482553e-03 1.319890e+00 1.392755e-01 [156] 1.773419e-01 6.778927e-01 1.969174e-02 1.998476e-01 3.987186e-01 [161] 1.256258e+00 3.906632e-01 6.360004e-01 1.795523e+00 1.936517e-02 [166] 7.665400e-02 2.036807e-01 8.563082e-02 3.847506e-02 3.575949e-02 [171] 1.741123e-01 7.470820e-01 2.666421e-01 1.504789e-01 5.140710e-01 [176] 2.305937e-01 4.647753e-01 1.514451e-01 2.658755e-02 1.219104e-01 [181] 3.020096e-01 1.351698e-01 6.167957e-01 1.638660e-02 2.383351e-01 [186] 6.085223e-02 1.619656e-02 2.743850e-01 6.860125e-02 3.454584e-02 [191] 6.131765e-01 1.308787e-01 1.857582e-01 3.103862e-02 1.367101e+00 [196] 2.128770e-01 1.386343e-01 8.257049e-02 7.996384e-02 1.595382e-02 [201] 2.290023e-01 2.720995e-01 2.424217e-01 4.236072e-01 2.289936e-01 [206] 5.327437e-02 2.977333e-02 1.917182e-02 3.378800e-01 8.020112e-01 [211] 2.465701e-01 1.847232e-01 3.173214e-01 2.640815e-02 1.701124e-01 [216] 1.952745e-01 3.904043e-01 2.997920e-01 2.981598e-02 3.886226e-02 [221] 1.552086e-01 4.749033e-01 7.757611e-01 2.003227e-02 1.900375e-01 [226] 2.076814e-01 4.449905e-01 1.403984e-01 3.721699e-01 2.750441e-01 [231] 2.313831e-02 1.116138e-01 2.304911e-01 1.989888e-01 1.509206e-01 [236] 9.523847e-02 8.577148e-03 8.731380e-01 9.077204e-02 2.698806e-01 [241] 1.961323e-02 4.571786e-02 1.752758e-01 1.682122e-01 5.841958e-01 [246] 7.593294e-01 2.100814e-01 1.864267e-01 3.634787e-01 2.406991e-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/3t49y1228156829.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/1mlhb1228156829.ps tmp/1mlhb1228156829.png") > system("convert tmp/2nn931228156829.ps tmp/2nn931228156829.png") > system("convert tmp/3t49y1228156829.ps tmp/3t49y1228156829.png") > > > proc.time() user system elapsed 1.909 1.012 2.029