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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/16pu71228250094.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 -1 -2 -3 -4 -3 -2 -3 -4 -5 -4 -3 -2 -3 -4 -5 [19] -4 -5 -6 -5 -4 -3 -4 -5 -4 -5 -4 -3 -2 -3 -2 -1 -2 -3 [37] -2 -3 -4 -5 -4 -5 -4 -3 -4 -5 -6 -7 -6 -7 -8 -9 -10 -11 [55] -12 -13 -12 -13 -14 -13 -12 -11 -10 -9 -10 -11 -12 -13 -12 -13 -14 -13 [73] -12 -13 -12 -13 -12 -13 -14 -13 -14 -13 -14 -13 -14 -13 -12 -13 -14 -13 [91] -14 -15 -16 -15 -16 -17 -16 -17 -18 -19 -20 -19 -18 -17 -18 -17 -18 -19 [109] -18 -19 -18 -17 -18 -17 -18 -19 -20 -21 -22 -23 -22 -21 -20 -19 -18 -17 [127] -18 -17 -16 -15 -16 -17 -18 -17 -16 -17 -18 -17 -16 -17 -16 -15 -14 -13 [145] -12 -13 -14 -13 -12 -11 -12 -13 -14 -15 -16 -15 -14 -13 -14 -13 -12 -13 [163] -12 -11 -12 -11 -12 -13 -12 -13 -14 -13 -14 -15 -14 -13 -12 -11 -12 -13 [181] -12 -13 -14 -13 -14 -13 -12 -13 -14 -15 -16 -15 -14 -15 -14 -13 -14 -13 [199] -12 -13 -12 -13 -14 -13 -14 -13 -14 -13 -12 -13 -12 -13 -12 -13 -12 -11 [217] -12 -13 -12 -13 -14 -13 -14 -15 -16 -15 -16 -15 -16 -17 -16 -17 -18 -19 [235] -20 -19 -20 -19 -18 -19 -20 -21 -20 -19 -20 -21 -20 -21 -20 -19 -20 -19 [253] -20 -19 -18 -17 -18 -17 -18 -19 -20 -19 -20 -19 -18 -17 -18 -17 -16 -17 [271] -18 -19 -20 -19 -18 -17 -16 -15 -14 -13 -14 -13 -14 -15 -14 -13 -12 -11 [289] -12 -11 -12 -11 -10 -9 -8 -9 -8 -7 -6 -7 -8 -7 -6 -7 -8 -9 [307] -8 -9 -8 -7 -8 -9 -8 -9 -10 -11 -12 -13 -14 -15 -14 -15 -14 -13 [325] -12 -13 -12 -11 -12 -13 -14 -13 -14 -15 -16 -17 -18 -17 -16 -15 -16 -17 [343] -18 -19 -18 -17 -16 -17 -16 -17 -16 -15 -16 -17 -16 -17 -16 -15 -16 -17 [361] -18 -19 -18 -17 -16 -15 -14 -15 -16 -15 -16 -15 -14 -15 -16 -17 -16 -17 [379] -16 -17 -16 -17 -18 -17 -16 -15 -14 -13 -14 -13 -12 -13 -12 -11 -12 -13 [397] -14 -13 -14 -13 -12 -11 -10 -11 -12 -11 -12 -11 -10 -11 -12 -11 -10 -9 [415] -10 -11 -10 -9 -8 -7 -8 -9 -10 -11 -10 -11 -10 -9 -10 -9 -8 -9 [433] -8 -9 -8 -7 -6 -7 -8 -7 -8 -7 -8 -7 -6 -7 -8 -7 -6 -7 [451] -6 -5 -6 -5 -4 -5 -6 -5 -6 -5 -6 -5 -4 -5 -4 -3 -2 -1 [469] 0 -1 0 1 2 3 2 1 2 3 2 3 4 3 4 3 4 3 [487] 4 5 6 7 8 9 10 9 8 9 8 9 8 9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2q34r1228250094.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] 1.789481e+03 5.721197e+02 2.282856e+02 1.436829e+03 8.331199e+00 [6] 3.559798e+02 5.000275e+01 1.478322e+02 1.050772e+02 1.485122e+00 [11] 4.597602e+01 1.346804e+01 4.313046e+00 3.012881e+01 5.602112e+00 [16] 3.483827e+00 7.133072e+00 3.447850e+00 2.190544e+00 1.574472e-01 [21] 1.331908e+01 1.041014e+00 2.498755e+01 3.988174e+00 1.539842e+01 [26] 1.420647e+01 1.580119e+01 3.881161e+00 1.608447e+01 9.715591e+00 [31] 1.407094e+01 9.291782e+00 3.406900e+00 7.537116e+00 3.670288e-01 [36] 7.936670e+00 9.604047e-01 3.989377e+00 6.504765e+00 7.221066e+00 [41] 9.510730e-01 3.285225e+00 2.845900e+00 2.068275e+00 1.322233e+00 [46] 1.067564e+00 4.018256e-01 1.208072e+00 1.082781e+01 1.284114e+00 [51] 2.723107e+00 2.053891e+00 1.472084e-01 1.290039e-01 3.063921e+00 [56] 8.801441e+00 2.355150e+00 1.730355e+00 1.715763e-01 5.099776e-01 [61] 3.019613e-02 1.348864e+00 2.575920e+00 2.168081e+00 1.372157e+00 [66] 5.834481e-01 3.435880e-01 9.065483e-01 9.761648e-01 4.174727e+00 [71] 1.712163e-01 1.584465e+00 1.005351e+00 5.089755e+00 3.045072e-01 [76] 3.100449e+00 1.662541e-01 7.046995e-01 1.532362e+00 9.666007e-01 [81] 4.826130e-01 9.522652e-01 2.423093e+00 1.113998e+00 1.561474e+00 [86] 1.594026e+00 4.096899e-01 8.376680e-01 3.029277e-01 1.488771e-01 [91] 1.643908e+00 7.469961e-01 6.395789e-01 3.424397e-01 1.623918e+00 [96] 1.658444e-01 3.741871e-01 1.181218e-01 1.084339e-01 1.021756e+00 [101] 1.075981e-01 2.877203e-01 3.321940e-01 9.385493e-01 1.520035e-01 [106] 7.725504e-01 1.232803e-02 7.824257e-01 1.917208e-01 6.161596e-01 [111] 3.979471e-01 1.419138e-02 6.470432e-01 4.790731e-01 1.144807e-01 [116] 4.059365e-01 3.474818e-01 1.112478e-01 8.213591e-02 1.160211e+00 [121] 3.035840e-03 2.999932e-01 5.448922e-02 3.120138e-01 1.983622e-01 [126] 2.669109e-01 8.905778e-01 3.522139e-01 2.332148e+00 3.639990e-02 [131] 4.771640e-01 2.977424e-01 2.198687e-01 1.394402e+00 5.363714e-01 [136] 1.694270e-01 6.139057e-01 2.957118e-03 5.645620e-02 5.333492e-01 [141] 1.081596e+00 6.800056e-01 1.329761e+00 2.073832e-01 1.661329e-01 [146] 6.844895e-02 2.041639e-01 8.604412e-01 3.616022e-01 4.586456e-02 [151] 8.255009e-01 1.600261e-01 2.806675e-01 2.897257e-01 2.762416e-01 [156] 1.720430e-01 1.789473e-01 2.103914e-01 2.830135e-01 2.862788e-01 [161] 1.544055e-01 3.990449e-02 4.601022e-01 9.671456e-02 5.986311e-01 [166] 1.991448e+00 1.942582e+00 1.897588e-01 1.129854e-01 9.861848e-01 [171] 1.440837e-02 1.148411e+00 1.809254e-01 1.558393e+00 5.617885e-01 [176] 6.800746e-02 1.645253e-01 5.155664e-01 1.638204e-01 2.970915e-01 [181] 2.361355e-01 8.094501e-01 3.288939e-01 2.129251e-02 1.309158e+00 [186] 2.402961e-01 1.683886e-01 1.337994e-01 1.896011e-02 7.288413e-02 [191] 2.161941e-01 1.309928e-01 2.276810e-01 1.148689e-01 2.067950e-01 [196] 4.757412e-02 7.247000e-01 7.272091e-01 3.345760e-01 6.837837e-02 [201] 1.158125e+00 4.947336e-01 1.315868e-01 2.704858e-01 3.315862e-01 [206] 4.730240e-01 6.628128e-01 1.065073e-02 1.967568e-01 1.379897e-01 [211] 2.302349e-02 1.214535e-01 4.574426e-01 2.411087e-01 7.445442e-02 [216] 2.802203e-01 2.146551e-01 3.039285e-01 1.573585e-02 1.272879e-01 [221] 4.018311e-01 5.990260e-01 2.456968e-01 1.206081e-02 1.180893e-01 [226] 2.827463e-01 8.967389e-02 1.045596e-01 1.889868e-01 3.439039e-01 [231] 3.829183e-01 4.219741e-01 3.379148e-02 1.396633e-03 3.571143e-01 [236] 5.286385e-01 9.862895e-02 7.411405e-02 7.157781e-02 3.644767e-02 [241] 2.082372e-01 3.537998e-01 4.124702e-02 2.283222e-01 1.139529e-01 [246] 1.489457e-01 6.577180e-01 1.240819e-01 2.161749e-01 4.810814e-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/319q21228250094.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/16pu71228250094.ps tmp/16pu71228250094.png") > system("convert tmp/2q34r1228250094.ps tmp/2q34r1228250094.png") > system("convert tmp/319q21228250094.ps tmp/319q21228250094.png") > > > proc.time() user system elapsed 0.797 0.583 0.919