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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/1mhnv1227879294.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 0 -1 0 1 0 -1 0 -1 -2 -1 -2 -1 0 1 [19] 2 3 4 5 4 5 6 5 6 7 6 7 8 7 8 7 8 7 [37] 8 9 8 7 8 9 10 9 10 11 12 13 12 13 14 15 16 15 [55] 16 15 16 17 16 17 18 17 16 17 18 19 20 21 22 21 22 23 [73] 22 23 24 25 26 25 26 27 28 27 28 27 28 29 28 29 30 29 [91] 30 31 30 31 30 31 32 33 34 35 34 35 36 37 36 37 38 37 [109] 36 37 38 39 40 39 38 39 38 37 36 35 34 33 32 33 34 35 [127] 34 35 34 35 36 35 34 33 34 35 34 33 34 35 34 33 34 33 [145] 32 33 34 35 34 33 32 31 32 33 32 31 32 31 30 29 28 27 [163] 28 29 30 29 28 27 28 27 28 29 30 31 32 31 32 31 30 29 [181] 28 27 26 25 26 27 28 27 26 25 24 25 26 25 26 25 24 25 [199] 24 23 24 23 22 21 22 21 22 23 24 25 24 23 22 23 22 21 [217] 22 21 20 19 20 19 18 19 20 19 18 17 18 17 16 17 18 17 [235] 16 17 18 17 16 15 16 17 16 15 16 15 16 15 16 15 14 13 [253] 14 13 14 15 14 13 14 13 14 15 14 13 12 11 12 13 14 13 [271] 14 15 14 13 12 13 14 13 12 11 10 9 8 9 8 7 6 5 [289] 4 3 2 3 2 3 2 1 2 1 2 3 4 5 4 3 2 1 [307] 0 -1 -2 -3 -2 -1 -2 -1 0 -1 -2 -3 -4 -5 -6 -5 -6 -5 [325] -4 -3 -4 -3 -4 -5 -6 -7 -6 -7 -6 -7 -8 -7 -6 -5 -4 -5 [343] -6 -7 -8 -9 -10 -11 -10 -11 -12 -11 -10 -11 -12 -13 -14 -13 -14 -15 [361] -14 -15 -16 -17 -16 -15 -14 -13 -12 -13 -12 -11 -10 -9 -8 -9 -8 -9 [379] -8 -9 -10 -9 -10 -11 -10 -11 -12 -13 -14 -13 -12 -13 -12 -11 -10 -11 [397] -10 -11 -10 -11 -12 -11 -12 -11 -12 -13 -12 -13 -14 -13 -14 -15 -16 -17 [415] -16 -17 -18 -19 -20 -19 -20 -19 -18 -17 -18 -17 -18 -17 -16 -15 -14 -15 [433] -16 -17 -16 -17 -18 -17 -18 -19 -18 -17 -18 -17 -16 -17 -18 -19 -20 -19 [451] -18 -19 -20 -19 -20 -21 -20 -19 -20 -21 -22 -21 -22 -23 -22 -23 -22 -21 [469] -22 -21 -22 -21 -22 -21 -22 -23 -24 -23 -24 -25 -26 -25 -26 -27 -28 -27 [487] -28 -29 -30 -31 -32 -31 -30 -31 -30 -29 -30 -31 -30 -29 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2axy11227879294.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] 1.501146e+04 3.441276e+03 2.395245e+03 1.092664e+03 9.098266e+02 [6] 1.922285e+02 8.105921e+00 1.344367e+02 1.699983e+02 4.983340e-01 [11] 7.943024e+00 2.629569e+01 9.488522e+00 4.554680e-01 1.120888e+02 [16] 4.431977e+01 1.552700e+01 3.260638e+00 1.584814e+01 4.718448e+01 [21] 1.988531e+00 1.674605e+00 2.914508e+00 1.673894e+01 1.312235e+01 [26] 6.380254e-01 1.077391e+01 4.877616e+00 7.069931e-01 4.876027e+00 [31] 2.127768e+00 9.568867e+00 2.318535e+00 1.300478e+00 1.294191e+01 [36] 5.294214e+00 5.426926e+00 1.157659e+01 6.377489e+00 3.062408e+00 [41] 2.918871e+00 8.124980e+00 1.004932e+01 1.148762e+00 2.461474e-01 [46] 9.127342e-01 2.316854e+00 1.953689e+00 1.007052e+00 1.358769e+00 [51] 5.053513e+00 8.937909e-01 8.018182e-02 1.126065e+00 1.189841e+00 [56] 1.200587e+00 2.032304e+00 7.434951e-01 1.020378e+00 1.262306e+00 [61] 1.264254e+00 2.506951e+00 1.814064e-01 2.403253e+00 1.494794e+00 [66] 7.924907e+00 2.009223e+00 1.127684e+00 1.377200e+00 2.574935e-01 [71] 7.364356e-01 4.047790e+00 5.402789e-01 1.702023e+00 3.169149e-01 [76] 2.170613e-01 2.502655e+00 1.162078e+00 2.869867e-01 1.192464e+00 [81] 5.186050e-01 1.620418e-01 6.404485e-02 1.168164e+00 1.761726e-01 [86] 1.049667e-01 8.465106e-01 1.101600e+00 2.768250e+00 7.441668e-01 [91] 8.739239e-01 2.554002e-01 1.197639e-01 1.647752e-01 6.440297e-01 [96] 8.211839e-02 3.265867e-01 4.339616e-01 4.103717e-01 4.712506e-01 [101] 4.101368e-02 1.105865e+00 5.695025e-01 1.122127e-01 4.691660e-01 [106] 6.264312e-01 5.787502e-01 2.924824e+00 4.930002e-02 3.134570e-01 [111] 1.409872e-01 5.271743e-01 5.038752e-01 2.390755e-01 6.493842e-01 [116] 3.369021e-01 3.362861e-01 2.257256e+00 3.009084e-01 2.115927e-01 [121] 3.139783e-01 5.211035e-01 1.285101e-02 2.426032e+00 3.960962e-01 [126] 3.917027e-01 2.013294e+00 1.161870e+00 1.114890e+00 4.130557e-01 [131] 2.453685e-01 3.830655e-02 1.873363e-01 1.041969e+00 4.605269e-01 [136] 7.879352e-02 4.744662e-02 1.647541e-01 4.426386e-01 9.078458e-01 [141] 1.589194e-01 2.562360e-01 1.817023e-01 2.483461e-01 1.293796e-01 [146] 1.639488e+00 1.250245e-01 4.948923e-01 3.150986e-02 9.868715e-01 [151] 9.797601e-01 6.400415e-03 7.857451e-02 1.508230e-01 1.017062e-01 [156] 8.595405e-01 2.057459e-02 1.120936e+00 4.680879e-01 3.566538e-02 [161] 1.238414e-01 5.727857e-02 8.898928e-01 2.890329e-01 2.304855e-01 [166] 2.508783e-02 6.800908e-01 3.238672e-02 7.610530e-01 2.586175e-01 [171] 8.677201e-01 4.011588e-01 1.704043e-01 2.667256e-01 3.757967e-02 [176] 5.925351e-02 3.584714e-01 4.948287e-02 2.822840e-01 5.792664e-01 [181] 4.084934e-02 2.654536e+00 1.954165e-01 1.822180e-01 2.649032e-01 [186] 4.678867e-02 2.029001e-01 5.070517e-02 1.840416e-01 4.044512e-02 [191] 3.280877e-01 1.032435e-01 1.375921e+00 4.773736e-02 7.621621e-01 [196] 2.885218e-01 1.060977e-01 2.130521e-02 8.407634e-01 2.779524e-01 [201] 7.805932e-02 4.142957e-01 5.072689e-01 4.992518e-02 5.023435e-01 [206] 4.065323e-01 3.625343e-02 3.842332e-02 7.340761e-02 3.238267e-01 [211] 1.611242e-01 7.551641e-02 1.291879e-01 5.275861e-02 8.411508e-02 [216] 1.501805e-01 5.440619e-02 7.766197e-02 4.085887e-01 4.082812e-01 [221] 2.609867e-01 8.544626e-03 2.295514e-01 1.450422e-01 1.551398e-01 [226] 2.175707e-01 1.080913e-01 6.839163e-03 3.939221e-01 5.397773e-02 [231] 5.671315e-02 2.790559e-01 2.109775e-01 9.685431e-02 1.962087e-01 [236] 3.198261e-02 6.299579e-02 1.068602e-01 3.137501e-01 7.482823e-02 [241] 1.316352e-03 8.613376e-02 1.402454e-01 5.861142e-02 5.244684e-01 [246] 1.137907e-01 1.287968e+00 3.331865e-02 3.798909e-01 3.384625e-01 $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/3quhv1227879294.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/1mhnv1227879294.ps tmp/1mhnv1227879294.png") > system("convert tmp/2axy11227879294.ps tmp/2axy11227879294.png") > system("convert tmp/3quhv1227879294.ps tmp/3quhv1227879294.png") > > > proc.time() user system elapsed 0.787 0.566 0.920