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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/1jcxo1228225844.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 -2 -3 -4 -5 -4 -3 -2 -1 -2 -1 0 -1 [19] -2 -3 -4 -3 -2 -3 -4 -3 -4 -3 -2 -1 -2 -1 -2 -3 -4 -3 [37] -4 -5 -6 -5 -4 -5 -6 -5 -4 -5 -6 -5 -6 -7 -6 -7 -8 -7 [55] -8 -9 -10 -9 -8 -7 -8 -9 -10 -9 -10 -11 -12 -13 -12 -13 -12 -13 [73] -12 -11 -10 -9 -10 -11 -12 -13 -12 -11 -10 -9 -10 -9 -10 -9 -8 -9 [91] -8 -9 -10 -9 -8 -9 -10 -9 -8 -9 -8 -7 -6 -5 -4 -5 -4 -3 [109] -4 -5 -4 -5 -4 -5 -6 -5 -4 -3 -4 -5 -6 -5 -4 -3 -4 -5 [127] -6 -7 -8 -9 -10 -9 -10 -11 -10 -11 -10 -9 -10 -9 -10 -11 -12 -13 [145] -14 -13 -12 -13 -14 -15 -16 -15 -14 -13 -12 -13 -12 -13 -14 -15 -14 -13 [163] -12 -11 -12 -13 -14 -13 -12 -13 -14 -15 -14 -15 -14 -13 -12 -11 -10 -9 [181] -8 -9 -8 -7 -6 -7 -8 -9 -8 -9 -10 -9 -10 -11 -12 -11 -10 -11 [199] -10 -9 -10 -9 -8 -9 -8 -9 -8 -7 -8 -9 -8 -7 -6 -7 -8 -7 [217] -6 -5 -4 -5 -4 -5 -6 -7 -6 -5 -6 -7 -8 -9 -10 -9 -8 -7 [235] -8 -9 -10 -11 -12 -13 -14 -13 -14 -15 -14 -15 -14 -13 -14 -13 -12 -13 [253] -12 -11 -12 -13 -12 -13 -12 -13 -14 -13 -14 -15 -14 -15 -16 -17 -16 -17 [271] -16 -15 -14 -15 -14 -13 -14 -13 -12 -13 -12 -13 -14 -13 -14 -13 -14 -13 [289] -14 -15 -16 -15 -14 -15 -14 -13 -12 -11 -12 -11 -10 -9 -10 -11 -12 -11 [307] -10 -11 -10 -9 -8 -9 -10 -9 -8 -9 -10 -11 -10 -9 -8 -7 -6 -5 [325] -4 -5 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -12 -11 -12 -13 -14 -15 [343] -14 -13 -14 -13 -14 -13 -14 -13 -14 -13 -12 -11 -12 -13 -12 -11 -12 -11 [361] -12 -13 -14 -15 -14 -13 -14 -15 -16 -17 -18 -19 -20 -19 -20 -19 -20 -21 [379] -20 -19 -18 -19 -20 -19 -20 -19 -20 -19 -20 -19 -20 -19 -18 -19 -18 -19 [397] -18 -17 -18 -19 -18 -19 -18 -17 -18 -17 -18 -17 -18 -19 -18 -17 -18 -19 [415] -18 -17 -16 -15 -14 -15 -14 -15 -16 -15 -14 -15 -14 -13 -12 -13 -12 -11 [433] -12 -13 -12 -13 -12 -13 -14 -15 -16 -15 -14 -13 -12 -13 -12 -11 -10 -11 [451] -12 -11 -10 -9 -10 -9 -10 -9 -8 -9 -10 -9 -8 -7 -6 -5 -6 -5 [469] -6 -7 -6 -7 -6 -7 -6 -5 -4 -3 -2 -3 -4 -5 -4 -5 -6 -5 [487] -4 -3 -2 -1 -2 -3 -4 -3 -4 -3 -2 -1 0 1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ecth1228225844.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] 2.634172e+02 3.829488e+02 3.080690e+02 7.865854e+02 5.679558e+02 [6] 2.051760e+02 1.438396e+02 5.521781e+01 1.776338e+00 7.752105e+01 [11] 2.899326e+01 8.346456e+00 3.495827e+00 7.874923e+01 6.019156e+01 [16] 3.087319e+00 5.599695e+00 7.827625e+00 2.655437e+00 4.097803e+01 [21] 3.032559e+01 1.056490e+01 6.843447e+00 4.669470e+00 1.177161e+01 [26] 1.006575e+01 9.683391e+00 7.025734e+00 3.639697e+00 5.174897e-01 [31] 7.244728e+00 2.465433e+01 9.048736e-03 8.227219e+00 1.651504e+00 [36] 4.516118e+00 9.295598e+00 1.144060e+01 1.494348e+00 6.311842e-01 [41] 3.358634e+00 5.012403e+00 4.540498e-01 7.792017e-01 8.063486e-01 [46] 1.604526e+00 2.259362e+00 2.475364e+00 4.584802e-01 3.622765e+00 [51] 1.323425e+00 8.735546e-01 1.325994e-01 5.198497e-01 1.134694e+00 [56] 4.356414e-01 3.017341e+00 1.056909e-03 4.558589e-01 1.120764e-01 [61] 3.126305e-01 1.537646e+00 3.498922e+00 4.771702e+00 1.178900e-01 [66] 5.581505e-01 4.006765e-01 1.036438e+01 5.834945e+00 1.798836e+00 [71] 1.789360e+00 5.787747e-01 1.178362e+00 6.784407e-01 5.874876e-01 [76] 1.848288e+00 6.220706e-02 9.322732e-01 4.204205e-01 1.434688e-02 [81] 2.520506e-01 1.221870e+00 8.312794e-02 1.090791e+00 8.021449e-01 [86] 2.276303e+00 4.546152e-01 4.632572e-01 1.929458e+00 1.096284e+00 [91] 1.244103e+00 7.440980e-01 9.458069e-02 1.781641e-01 3.172667e+00 [96] 2.445791e-02 6.414026e-01 5.971790e-01 5.482867e-02 1.363398e+00 [101] 7.901141e-01 1.396266e+00 5.656763e-01 1.307480e+00 3.959390e-01 [106] 8.613999e-01 7.442381e-01 1.133140e+00 2.347691e+00 5.289591e-01 [111] 1.570040e+00 3.581305e-01 4.113100e-01 4.968614e-01 6.542761e-01 [116] 8.683803e-01 2.058189e-01 7.828686e-01 6.172363e-01 1.203830e-01 [121] 4.267841e-01 2.304131e-01 8.419878e-01 3.356727e-01 7.186627e-01 [126] 2.000615e-01 2.727817e-01 5.415742e-01 1.498236e+00 3.559310e-01 [131] 6.802597e-01 2.762246e-01 1.802989e-01 2.752951e-02 3.544340e-01 [136] 1.806001e-01 3.232107e-01 3.118604e-01 1.547184e-01 3.813266e-01 [141] 2.507144e-01 2.641699e-02 1.199364e-01 6.984225e-01 8.032815e-02 [146] 1.573349e-01 1.300926e+00 6.100467e-01 1.521547e-01 6.250834e-01 [151] 4.691482e-02 5.073929e-01 6.414738e-01 1.169663e-01 3.786975e-01 [156] 6.897771e-02 1.516991e-02 8.595991e-01 2.880324e-01 2.620757e-01 [161] 7.064816e-01 1.651562e-01 5.373426e-01 3.553565e-01 3.142306e-01 [166] 2.607952e-02 4.259528e-01 4.563481e-01 7.555501e-02 1.576317e-01 [171] 5.294204e-01 2.454268e-02 6.489836e-01 6.493410e-03 1.216134e-02 [176] 1.417661e-01 6.880759e-01 7.334970e-01 6.879183e-01 2.014974e-01 [181] 1.627237e-01 3.100167e-01 1.861732e-01 1.179162e+00 1.226634e+00 [186] 3.237900e-01 3.840934e-01 1.117875e-01 3.375737e-01 3.979318e-01 [191] 1.584432e-01 6.881090e-01 3.792036e-02 9.801092e-02 5.078800e-01 [196] 6.643795e-02 4.030158e-01 6.291195e-02 2.198155e-01 1.364121e-01 [201] 9.287511e-02 2.398939e-01 1.224852e-01 1.559469e-01 7.724030e-01 [206] 1.597942e-02 8.826678e-02 9.287875e-01 5.458842e-01 4.042749e-01 [211] 5.491021e-02 2.772910e-01 2.184578e-01 3.203319e-01 1.406054e-01 [216] 1.315271e-01 4.829091e-01 1.042217e-02 1.235154e-01 2.677353e-02 [221] 5.011100e-01 2.978878e-01 5.706164e-04 2.211000e-01 1.633315e-01 [226] 1.568486e-01 4.534713e-01 1.982137e-01 1.184575e-01 2.438108e-01 [231] 1.654367e-01 2.448583e-02 4.324474e-01 5.733798e-02 2.047272e-01 [236] 3.418779e-01 8.372821e-02 1.457551e-01 8.115584e-03 3.949646e-01 [241] 6.968023e-01 7.700455e-02 5.815879e-02 6.561330e-01 1.129087e-01 [246] 2.472642e-01 2.504834e-01 3.347145e-01 2.433673e-01 1.047764e-03 $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/3pk491228225844.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/1jcxo1228225844.ps tmp/1jcxo1228225844.png") > system("convert tmp/2ecth1228225844.ps tmp/2ecth1228225844.png") > system("convert tmp/3pk491228225844.ps tmp/3pk491228225844.png") > > > proc.time() user system elapsed 0.815 0.586 0.981