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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/11k2o1227878648.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 4 5 6 5 4 3 4 3 2 3 4 3 4 5 [19] 4 5 6 5 6 7 6 7 6 5 6 5 6 5 6 5 6 5 [37] 4 5 4 5 6 7 8 9 8 7 8 9 8 7 8 7 8 7 [55] 8 7 6 5 4 5 6 7 8 9 8 7 6 5 6 7 8 7 [73] 6 5 6 7 6 5 6 5 6 7 8 9 10 11 12 13 14 13 [91] 12 11 12 11 12 11 12 11 12 13 14 15 14 15 14 15 14 15 [109] 14 15 14 13 14 13 14 15 14 13 12 13 14 15 14 15 14 13 [127] 12 11 12 13 14 13 12 13 14 13 14 15 14 15 16 17 18 19 [145] 20 21 22 21 20 21 20 19 18 19 20 21 22 21 22 23 22 21 [163] 22 23 22 23 22 21 22 21 22 23 22 23 22 23 24 23 24 25 [181] 24 23 24 25 26 25 24 23 24 25 24 23 22 21 22 21 22 21 [199] 22 21 20 21 22 21 20 19 20 21 20 19 18 17 18 17 18 19 [217] 18 17 16 17 16 17 18 17 18 19 18 17 18 19 18 17 18 19 [235] 20 19 20 21 22 23 24 25 26 25 24 25 26 25 26 27 26 25 [253] 24 23 24 23 24 23 24 25 24 23 24 25 24 23 22 23 24 25 [271] 26 25 24 25 24 23 22 23 24 25 24 23 22 21 22 21 22 21 [289] 20 19 18 17 16 15 14 15 14 15 14 15 16 15 16 15 16 15 [307] 14 13 12 13 12 13 14 13 14 15 14 13 14 15 14 15 14 13 [325] 14 13 12 13 12 13 12 11 12 11 10 9 8 9 10 9 10 11 [343] 12 13 14 15 16 17 18 17 16 15 14 15 14 13 12 11 10 11 [361] 10 9 8 7 6 5 6 5 6 7 6 5 4 3 2 1 0 -1 [379] -2 -3 -4 -3 -4 -3 -2 -1 -2 -1 0 -1 -2 -1 -2 -3 -2 -3 [397] -2 -3 -2 -3 -2 -3 -4 -5 -4 -5 -4 -3 -2 -3 -4 -3 -4 -5 [415] -4 -3 -4 -5 -4 -3 -2 -3 -2 -3 -2 -1 0 -1 -2 -1 -2 -3 [433] -4 -5 -6 -5 -6 -5 -6 -5 -4 -5 -6 -5 -6 -7 -8 -7 -8 -7 [451] -8 -9 -10 -9 -8 -9 -10 -9 -10 -11 -10 -9 -8 -7 -6 -7 -8 -7 [469] -8 -7 -6 -5 -6 -7 -6 -7 -6 -5 -6 -7 -8 -9 -10 -9 -8 -7 [487] -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -2 -1 -2 -3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2tfcb1227878648.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] 1.482917e+04 8.240768e+02 1.086128e+03 4.116605e+02 1.322414e+02 [6] 1.027547e+03 9.621128e+01 1.045152e+02 2.295266e+01 4.515513e+01 [11] 1.440904e+01 6.854042e+01 7.679574e+01 3.864100e+01 3.043568e+01 [16] 1.028807e+01 3.956587e+00 5.385539e-01 5.053253e+00 2.707734e+01 [21] 2.073085e+01 3.597824e+00 1.000988e+01 7.664375e+00 6.212303e+01 [26] 1.191190e+01 4.002149e+00 1.373604e+01 6.751551e-01 8.146534e-01 [31] 3.292651e-01 4.683828e+00 3.620528e+00 4.639363e-03 1.626991e+01 [36] 4.426775e+00 7.412707e+00 2.918085e+00 3.125883e-01 2.666154e+00 [41] 4.695283e-01 4.006050e+00 8.152103e-01 7.807406e+00 5.880537e-01 [46] 1.623474e+00 1.485087e+00 3.347701e+00 4.072898e+00 6.610193e-01 [51] 2.855502e+00 1.878561e+00 8.472114e-01 9.170139e-01 1.851962e+00 [56] 1.172416e+00 2.607591e+00 2.111036e+00 7.232946e-01 2.957697e+00 [61] 6.194126e-01 1.954724e+00 1.515517e+00 1.979883e-01 5.527908e+00 [66] 3.536818e-01 2.709411e+00 7.664429e-03 9.840444e-01 3.442661e+00 [71] 6.784535e-01 1.665153e+00 1.155188e+00 1.744444e+00 3.803041e+00 [76] 8.829874e-01 1.621695e-01 1.583366e+00 1.259738e+00 4.273281e-01 [81] 2.760112e-01 5.129193e-01 2.212582e+00 5.294826e-01 4.843610e-01 [86] 7.216882e-01 6.066022e-01 1.177714e+00 7.052995e-01 7.765425e-01 [91] 6.104935e-01 1.831784e-01 2.921969e-01 2.414483e-01 4.480357e-01 [96] 3.738977e-01 5.183741e-01 2.856377e-01 1.515444e-01 3.376685e+00 [101] 8.149339e-01 3.533208e-01 7.941574e-01 1.772025e-01 7.290565e-01 [106] 7.525550e-01 4.581269e-01 1.550853e+00 6.735513e-03 1.074481e+00 [111] 6.093454e-01 8.088626e-01 8.324768e-01 1.157636e+00 1.307059e+00 [116] 8.756014e-01 2.039107e-01 3.462417e-03 8.117643e-02 1.629102e+00 [121] 1.023425e+00 4.764721e-02 2.727337e-01 3.390270e-02 9.593162e-02 [126] 4.309554e-01 2.825664e-01 1.830586e-02 9.191771e-01 1.850953e-01 [131] 4.669566e-02 8.887954e-01 4.505215e-02 2.329420e-02 9.087309e-01 [136] 4.080400e-01 7.314251e-02 2.197413e-02 7.710794e-02 1.712785e-01 [141] 3.735728e-01 9.538036e-01 6.186468e-02 1.824375e+00 1.447654e+00 [146] 1.289327e-01 2.537055e-01 1.103636e-01 2.854130e-01 1.071559e-01 [151] 2.125335e+00 1.084463e-02 4.732327e-01 1.673293e-01 5.114478e-01 [156] 8.171013e-02 8.574801e-01 5.246955e-01 2.729747e-01 6.763700e-01 [161] 2.046531e-01 1.565467e-01 4.027772e-01 2.807076e-03 9.682084e-02 [166] 5.604836e-01 3.326723e-01 5.178400e-02 5.324815e-02 3.642772e-02 [171] 5.537832e-01 3.881881e-01 2.238876e-01 6.839568e-02 1.256676e-01 [176] 5.616033e-01 2.715147e-01 3.558292e-02 5.216274e-01 6.492529e-01 [181] 7.711950e-02 9.243006e-02 2.672964e-03 1.911004e-01 1.376337e-01 [186] 5.235353e-01 3.337589e-01 3.185367e-02 6.503518e-01 1.077665e-01 [191] 6.517381e-01 4.761141e-02 4.909891e-02 1.861329e-01 8.995524e-01 [196] 1.629967e-01 1.125732e-01 5.618912e-01 4.657332e-01 4.818136e-01 [201] 4.794184e-02 1.892807e-01 1.037874e-01 5.396743e-01 2.659167e-01 [206] 7.005188e-01 2.478471e-02 1.166239e-01 3.278306e-02 3.262577e-02 [211] 2.171772e-01 1.696646e-01 7.755581e-02 1.402689e-01 2.108681e-01 [216] 5.430772e-01 1.728547e-01 8.888045e-01 2.915204e-01 1.109421e-01 [221] 6.308023e-01 3.266411e-02 9.383311e-02 8.094816e-01 1.354488e-01 [226] 5.974578e-01 4.755493e-01 3.749133e-01 2.234588e-01 3.840304e-02 [231] 2.773534e-01 6.794377e-01 3.505496e-01 2.789906e-01 2.544209e-01 [236] 6.600528e-02 9.516480e-02 8.162700e-02 3.527497e-02 1.565798e-01 [241] 7.619900e-01 1.018120e-01 1.997002e-01 3.540774e-01 2.026990e-01 [246] 4.970702e-02 7.323960e-01 4.354241e-02 7.769231e-02 9.779315e-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/3ejy41227878648.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/11k2o1227878648.ps tmp/11k2o1227878648.png") > system("convert tmp/2tfcb1227878648.ps tmp/2tfcb1227878648.png") > system("convert tmp/3ejy41227878648.ps tmp/3ejy41227878648.png") > > > proc.time() user system elapsed 0.787 0.576 0.951