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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/1zagk1228250793.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 -1 0 1 2 1 2 1 0 -1 -2 -1 -2 -1 [19] -2 -3 -2 -1 -2 -1 -2 -1 -2 -1 0 1 0 1 2 1 0 1 [37] 0 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -1 [55] -2 -3 -2 -3 -4 -5 -4 -5 -6 -5 -6 -7 -6 -7 -6 -7 -8 -9 [73] -10 -9 -10 -9 -10 -11 -12 -13 -14 -13 -14 -15 -14 -15 -14 -13 -14 -13 [91] -12 -11 -12 -13 -14 -15 -14 -13 -14 -15 -16 -15 -14 -13 -12 -13 -14 -13 [109] -14 -13 -14 -15 -16 -15 -14 -13 -14 -15 -16 -17 -16 -17 -16 -15 -16 -17 [127] -16 -17 -18 -19 -18 -17 -16 -15 -16 -17 -16 -15 -16 -15 -14 -13 -12 -13 [145] -12 -13 -14 -15 -14 -15 -14 -15 -16 -15 -14 -13 -14 -15 -14 -15 -14 -13 [163] -12 -11 -10 -11 -10 -9 -10 -11 -10 -11 -12 -13 -14 -15 -14 -15 -16 -15 [181] -14 -13 -12 -11 -10 -11 -12 -13 -14 -13 -12 -11 -10 -11 -12 -11 -12 -13 [199] -14 -15 -16 -17 -16 -17 -18 -17 -16 -15 -16 -17 -16 -15 -14 -13 -14 -13 [217] -12 -11 -10 -9 -8 -9 -10 -9 -8 -7 -8 -7 -6 -7 -8 -7 -8 -7 [235] -6 -5 -6 -7 -8 -7 -6 -5 -4 -3 -4 -3 -2 -3 -2 -3 -2 -3 [253] -4 -3 -4 -5 -6 -7 -8 -7 -6 -7 -8 -7 -8 -7 -8 -7 -8 -9 [271] -10 -9 -10 -9 -8 -9 -10 -11 -10 -11 -10 -11 -12 -13 -12 -11 -12 -11 [289] -10 -9 -10 -9 -8 -7 -6 -5 -4 -3 -4 -3 -2 -1 0 -1 -2 -1 [307] -2 -3 -2 -3 -4 -3 -2 -3 -4 -5 -4 -3 -2 -1 0 1 2 1 [325] 2 3 4 5 6 5 6 7 6 7 8 7 8 9 10 9 8 7 [343] 6 5 6 7 6 7 8 9 10 9 10 9 8 9 8 7 6 5 [361] 6 5 4 3 4 5 6 5 6 7 6 5 6 7 6 7 6 5 [379] 6 5 4 5 4 3 4 5 4 5 6 5 4 3 4 3 4 5 [397] 4 5 4 3 2 3 2 1 2 1 0 1 2 3 2 1 0 -1 [415] -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 -2 -3 -2 -1 [433] -2 -1 0 -1 0 -1 -2 -1 0 -1 0 1 2 1 0 -1 0 -1 [451] 0 1 0 -1 0 -1 -2 -3 -2 -3 -4 -3 -2 -1 0 1 0 1 [469] 2 3 2 1 2 1 2 1 0 1 2 1 2 1 2 1 0 1 [487] 2 3 2 3 2 1 2 3 4 5 6 7 6 7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2i0f01228250793.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] 3.251975e+03 1.640118e+03 1.931379e+03 1.549656e+01 7.875558e+02 [6] 7.898609e+01 2.693535e+02 7.487928e+01 1.030497e+01 7.623394e+01 [11] 2.291819e+01 1.830411e+01 4.566050e+01 3.223207e+01 2.092580e+01 [16] 4.403294e+00 5.324364e+00 7.069291e+01 7.648969e+01 2.114457e+01 [21] 6.967981e+00 1.217912e+01 4.128826e+00 3.092808e+00 1.666686e+01 [26] 6.959555e+00 6.673274e+00 1.172720e+01 2.938508e+00 4.318727e+00 [31] 1.648474e-01 6.887897e+00 4.085627e+00 6.724817e-01 7.563005e+00 [36] 4.369074e-01 3.183590e+00 7.804437e+00 5.409171e+00 6.824839e-01 [41] 1.589107e+00 7.289239e+00 5.640099e-01 4.441100e+00 1.628087e+00 [46] 8.704975e-01 1.730364e+00 2.044455e+00 3.770050e+00 8.403366e-01 [51] 4.097024e+00 3.664934e+00 5.575398e+00 1.275472e+00 7.318919e-02 [56] 6.977976e-02 6.915507e-01 3.861023e+00 5.813813e+00 1.530325e-01 [61] 1.206326e+00 2.056163e-01 6.071484e-01 1.634902e+00 4.914489e-01 [66] 2.760844e+00 2.137620e-01 1.814290e+00 3.164469e+00 1.207595e+00 [71] 1.638294e+00 2.391368e+00 2.141076e+00 1.495223e+00 1.245788e+00 [76] 1.046119e+00 1.166015e+00 1.892142e-01 1.370647e+00 9.977909e-02 [81] 4.098842e-02 5.227605e-01 1.677336e+00 1.179900e+00 2.615312e+00 [86] 1.825706e+00 3.185869e+00 2.096077e+00 2.225124e-01 1.491468e-01 [91] 2.138645e+00 1.178887e+00 2.572587e-01 3.928541e-01 7.968413e-01 [96] 8.486810e-01 2.157766e-02 8.897137e-02 7.339611e-02 1.637543e-01 [101] 9.491033e-01 4.092562e-01 4.544990e-01 2.814071e-01 1.189300e+00 [106] 7.867214e-01 4.076748e-01 6.400608e-03 4.360876e-01 5.337531e-02 [111] 2.978487e-01 5.313943e-01 6.098148e-01 1.640426e+00 8.257993e-02 [116] 1.018781e+00 8.854213e-02 5.285015e-02 7.710098e-01 3.336182e-02 [121] 2.122284e-02 6.729263e-02 1.142991e+00 1.028264e+00 6.575424e-01 [126] 2.153825e-01 4.793623e-01 3.434493e-01 2.690056e-01 1.149149e-01 [131] 9.080938e-02 2.801283e-01 1.748745e-01 6.156627e-03 1.233838e-02 [136] 1.922149e-01 2.131627e+00 8.060227e-01 4.149380e-01 2.129964e-01 [141] 1.315899e+00 2.279609e+00 3.427014e-01 1.707440e-01 3.585665e-01 [146] 3.906468e-02 5.804788e-01 1.492534e-01 1.896292e+00 3.067349e-01 [151] 1.510164e+00 1.013310e-01 2.664648e-01 3.117829e-03 3.212512e-01 [156] 1.023475e+00 3.056804e-01 1.424716e+00 4.823951e-01 5.310291e-02 [161] 1.182014e-01 8.816732e-02 1.190364e+00 6.132141e-02 2.490459e-01 [166] 2.187841e-01 2.826720e-02 4.145383e-02 8.435659e-02 6.299783e-01 [171] 5.939475e-02 3.791133e-01 9.091139e-01 5.606382e-01 9.112000e-02 [176] 1.761814e-01 4.655794e-01 8.575703e-01 1.591337e-01 7.881184e-01 [181] 1.488955e-01 7.514044e-02 9.422962e-01 1.443039e-01 3.995981e-01 [186] 8.069946e-02 1.277863e-03 2.185818e-01 5.545020e-02 1.408463e+00 [191] 5.942029e-02 3.663162e-01 7.531340e-01 3.468503e-01 4.722675e-01 [196] 1.589883e-01 6.391125e-01 7.659154e-02 1.232375e-01 2.963262e-01 [201] 1.543514e-01 8.108794e-02 3.961938e-02 1.168734e-01 3.201762e-01 [206] 1.692318e-01 5.491878e-02 2.366412e-01 1.692242e-02 1.422859e-01 [211] 9.020195e-01 4.381486e-02 4.256116e-01 1.895178e-01 9.011858e-02 [216] 4.554708e-01 1.821588e-01 3.984901e-03 2.178971e-01 2.218004e-02 [221] 2.846750e-03 1.169035e-01 7.359533e-02 1.827122e-01 1.285550e-01 [226] 3.103339e-02 3.310957e-01 3.661104e-02 2.787729e-02 1.169129e-01 [231] 2.059155e-01 6.182541e-01 2.904174e-01 2.336101e-01 2.392165e-01 [236] 1.235977e-01 5.217597e-01 3.846617e-02 3.469411e-02 1.146400e-02 [241] 5.820111e-02 2.612752e-01 1.420029e-01 6.651202e-02 3.031439e-01 [246] 1.661065e-01 6.462282e-01 5.571833e-01 6.789993e-02 6.504899e-04 $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/3v6951228250793.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/1zagk1228250793.ps tmp/1zagk1228250793.png") > system("convert tmp/2i0f01228250793.ps tmp/2i0f01228250793.png") > system("convert tmp/3v6951228250793.ps tmp/3v6951228250793.png") > > > proc.time() user system elapsed 0.822 0.597 1.129