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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/1jn471228302879.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 2 3 2 1 0 1 0 1 0 -1 0 -1 0 -1 [19] -2 -3 -2 -3 -4 -5 -4 -5 -4 -5 -4 -5 -4 -3 -4 -5 -6 -5 [37] -4 -3 -4 -5 -4 -3 -4 -3 -2 -1 -2 -1 0 1 0 1 0 1 [55] 0 1 2 3 4 5 4 3 4 3 4 5 4 3 4 5 6 5 [73] 6 5 6 5 4 3 2 3 4 3 4 5 6 5 6 7 6 5 [91] 4 5 4 5 4 3 2 1 0 1 2 1 0 1 2 3 4 3 [109] 2 1 2 3 2 3 2 3 4 3 4 5 4 5 6 5 4 5 [127] 6 5 4 3 4 3 2 3 4 3 4 3 4 5 6 7 6 5 [145] 4 3 2 3 4 3 2 1 0 -1 0 -1 -2 -3 -2 -3 -4 -5 [163] -4 -3 -4 -3 -4 -5 -4 -3 -4 -3 -4 -5 -4 -5 -4 -5 -6 -5 [181] -4 -3 -2 -1 0 1 0 1 2 1 0 -1 -2 -3 -2 -3 -4 -5 [199] -6 -5 -4 -5 -6 -7 -6 -5 -6 -5 -6 -7 -6 -7 -8 -9 -10 -11 [217] -12 -13 -14 -13 -14 -15 -16 -17 -16 -15 -16 -17 -18 -19 -20 -19 -18 -17 [235] -16 -15 -14 -13 -12 -11 -12 -13 -14 -13 -12 -11 -12 -11 -10 -9 -8 -9 [253] -10 -9 -10 -9 -10 -9 -10 -9 -10 -9 -10 -11 -10 -9 -10 -9 -8 -7 [271] -8 -9 -8 -7 -8 -9 -10 -9 -10 -9 -10 -11 -10 -11 -12 -13 -12 -11 [289] -10 -11 -12 -13 -14 -13 -12 -13 -12 -11 -12 -11 -12 -13 -14 -15 -16 -15 [307] -14 -13 -14 -13 -12 -11 -10 -11 -12 -11 -12 -13 -12 -11 -12 -13 -14 -13 [325] -14 -15 -16 -15 -14 -13 -14 -13 -12 -11 -12 -11 -12 -13 -12 -11 -10 -9 [343] -8 -9 -10 -11 -10 -11 -10 -11 -12 -11 -10 -9 -8 -7 -6 -5 -6 -7 [361] -8 -7 -6 -5 -6 -5 -4 -5 -6 -7 -8 -9 -10 -9 -8 -9 -8 -7 [379] -6 -7 -6 -7 -8 -7 -8 -9 -8 -9 -8 -9 -10 -11 -10 -9 -10 -9 [397] -8 -9 -8 -7 -6 -5 -4 -3 -4 -5 -4 -5 -4 -3 -4 -3 -2 -3 [415] -4 -3 -4 -5 -6 -5 -6 -7 -6 -5 -4 -5 -4 -5 -4 -5 -6 -5 [433] -4 -5 -4 -3 -2 -3 -2 -1 0 1 0 -1 -2 -3 -4 -5 -6 -7 [451] -6 -7 -8 -9 -10 -9 -8 -9 -10 -9 -10 -9 -10 -11 -10 -11 -12 -13 [469] -12 -13 -14 -13 -12 -13 -12 -11 -12 -13 -12 -11 -12 -11 -12 -13 -12 -11 [487] -12 -11 -12 -13 -12 -11 -12 -11 -12 -11 -12 -13 -12 -11 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2o2wh1228302880.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] 2.033614e+03 2.268835e+03 4.323008e+02 6.992519e+01 1.051601e+02 [6] 2.357398e+02 3.348979e+02 3.812831e+02 8.540362e+01 3.838058e+01 [11] 2.221405e+00 2.901156e+01 3.750383e+01 1.001841e+01 5.136053e+01 [16] 4.033355e+01 1.341792e+01 5.693903e+00 1.196392e+00 4.208834e+01 [21] 1.061749e+01 4.647608e+00 2.672043e+01 3.629249e+01 4.091535e+00 [26] 5.853076e+00 1.240204e+01 2.112826e+00 4.793073e+00 5.859703e+00 [31] 1.963734e+01 2.148236e+00 3.805098e-01 7.468287e+00 6.090316e+00 [36] 1.272300e+00 4.015227e+00 9.956422e-02 6.018829e+00 1.906737e+00 [41] 2.163882e+00 1.835354e+01 3.088312e+00 1.076804e+01 1.174896e-01 [46] 8.991348e+00 2.267398e+00 2.803745e+00 1.354847e+00 4.194159e-01 [51] 9.577656e-01 1.858128e+00 1.288136e+00 1.326728e-01 9.744809e-01 [56] 6.993841e-01 9.628860e-01 1.402886e+00 1.670942e-02 1.319736e+00 [61] 3.209456e-01 1.435639e-01 1.164126e+00 1.250459e-01 5.462455e+00 [66] 4.377125e-01 1.979361e+00 3.453652e-01 8.465368e-02 7.201626e-01 [71] 2.222886e+00 2.509274e+00 1.765789e+00 2.005871e+00 1.352653e+00 [76] 9.561541e-02 2.417996e-01 7.490717e-02 1.069303e+00 3.272119e+00 [81] 7.027145e-01 1.690227e+00 1.687170e+00 8.616566e-01 1.576377e+00 [86] 1.055497e-01 1.495514e+00 8.713634e-02 3.804362e+00 3.135569e-01 [91] 5.477498e-02 2.147777e-01 1.073076e-01 1.425579e+00 8.648356e-01 [96] 1.466415e+00 3.506562e-01 3.941863e-01 1.010233e-01 7.033227e-01 [101] 3.777214e+00 1.150391e+00 8.342092e-02 3.317265e-01 7.706184e-01 [106] 1.724923e+00 3.709351e-01 1.119832e+00 4.173444e-01 6.071557e-01 [111] 9.007341e-01 1.672419e-02 4.078943e-01 1.355940e-01 5.273332e-01 [116] 3.896246e-01 2.217377e-01 1.142133e+00 8.393734e-01 1.012591e+00 [121] 6.521418e-01 2.190946e-01 1.226799e+00 1.375363e-01 1.066739e+00 [126] 1.960894e-01 9.747433e-02 7.732412e-01 1.491667e+00 6.089054e-01 [131] 2.538580e-01 1.343439e-01 4.878484e-01 3.084577e-02 1.189762e-01 [136] 5.675613e-01 5.845022e-01 6.601131e-01 2.804102e-01 7.960470e-01 [141] 1.015629e+00 1.672273e-01 5.217705e-01 5.591425e-01 2.763832e-01 [146] 6.852382e-02 1.118523e-01 1.598868e-01 3.383969e-01 4.380693e-01 [151] 5.624996e-01 9.509725e-01 4.499002e-01 2.915963e-01 9.865566e-01 [156] 5.988608e-01 4.844198e-01 5.663996e-02 5.186798e-01 7.104348e-01 [161] 3.287176e-03 1.539031e-01 6.167636e-02 6.452595e-02 1.553018e-01 [166] 3.815789e-01 2.410338e-01 6.510193e-01 8.962361e-02 4.675259e-01 [171] 1.386968e-01 3.775735e-01 1.610755e-01 9.056410e-01 6.436448e-01 [176] 7.269591e-01 2.806713e-01 2.492606e-01 2.481244e-01 1.687167e-01 [181] 7.775008e-01 2.981400e-02 7.768944e-01 7.535386e-02 1.267712e-01 [186] 8.260846e-02 7.864818e-02 2.248110e-01 3.854523e-02 1.837366e-02 [191] 5.059272e-01 1.143144e-01 2.528600e-01 3.349950e-03 1.335944e-01 [196] 3.881293e-01 5.255907e-03 9.216760e-01 2.727624e-01 2.221470e-01 [201] 2.456767e-01 4.271082e-01 1.630804e-01 2.265618e-01 1.432044e-01 [206] 8.724988e-02 5.267210e-01 2.513132e-01 2.932068e-02 3.660065e-01 [211] 9.696208e-02 1.463689e-01 7.093299e-02 7.725947e-03 1.860877e-02 [216] 6.625111e-02 4.118354e-01 8.223934e-02 1.198939e-02 1.396555e-02 [221] 2.173903e-02 1.420165e-01 5.046657e-01 4.507078e-01 1.335012e-01 [226] 7.512762e-02 5.450880e-02 5.862750e-01 4.391174e-02 5.294611e-02 [231] 3.289332e-01 2.548925e-01 1.419996e-01 2.729580e-01 5.352038e-02 [236] 2.184740e-01 1.329216e-01 1.294726e-01 7.223317e-01 4.966686e-01 [241] 3.317683e-01 1.988539e-01 7.015234e-01 2.693863e-02 6.502957e-02 [246] 2.564283e-02 3.370844e-02 7.410625e-01 3.914933e-01 9.494861e-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/363e21228302880.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/1jn471228302879.ps tmp/1jn471228302879.png") > system("convert tmp/2o2wh1228302880.ps tmp/2o2wh1228302880.png") > system("convert tmp/363e21228302880.ps tmp/363e21228302880.png") > > > proc.time() user system elapsed 0.801 0.598 1.061