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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/1o8os1228810256.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 -4 -5 -6 -5 -4 -3 -4 -5 -4 -3 -4 -3 -2 -1 0 1 2 1 2 [26] 3 2 1 0 1 2 3 4 5 6 5 6 5 4 5 4 3 2 3 4 5 4 3 2 1 [51] 2 3 4 5 6 5 4 3 4 3 2 3 4 5 6 7 8 9 8 7 6 5 4 5 6 [76] 7 6 7 8 9 10 11 10 9 10 11 12 13 14 13 14 13 12 13 12 11 12 13 14 13 [101] 12 11 12 11 10 11 12 11 10 9 10 9 8 7 6 5 6 7 8 7 8 9 8 9 8 [126] 7 6 5 4 5 4 3 4 5 4 5 6 5 4 5 6 5 4 5 6 5 6 7 6 7 [151] 8 9 10 9 8 7 6 5 4 3 4 3 2 3 4 5 4 5 4 5 4 3 2 3 2 [176] 1 2 3 4 5 6 7 8 7 6 7 8 9 10 9 10 9 8 9 8 9 8 7 6 7 [201] 6 7 6 7 8 9 8 9 8 7 6 7 8 7 8 7 6 7 8 9 8 9 8 9 10 [226] 11 12 11 10 11 10 11 12 11 12 13 14 13 12 11 12 13 14 13 12 11 10 9 8 9 [251] 10 9 10 9 10 11 10 11 12 11 12 11 10 9 8 9 10 9 8 9 8 7 6 7 6 [276] 5 6 7 6 7 6 5 6 5 6 5 4 5 4 5 6 7 6 7 8 9 8 7 8 9 [301] 10 9 10 11 12 11 10 11 12 13 14 15 14 13 12 13 12 13 14 13 14 13 14 13 12 [326] 13 12 11 12 11 10 9 8 7 6 7 6 5 4 5 4 3 2 3 4 3 4 3 2 1 [351] 2 3 4 3 4 3 4 3 4 5 4 5 6 5 4 3 2 3 2 1 2 3 4 3 2 [376] 3 4 5 4 3 2 1 2 1 2 3 4 5 4 3 2 3 4 5 6 7 6 5 6 7 [401] 6 7 8 9 8 7 8 7 8 9 10 9 10 11 10 9 10 9 10 11 10 11 10 9 10 [426] 11 12 11 12 11 12 11 10 9 10 9 10 11 12 13 14 13 12 11 10 11 10 9 8 7 [451] 6 5 6 7 6 5 4 3 2 3 2 1 0 1 2 3 4 3 2 3 4 5 6 7 8 [476] 7 8 9 10 11 10 11 12 13 14 13 14 15 14 15 16 15 16 15 16 17 18 17 16 17 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2v9m31228810256.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] 4.738958e+02 1.387056e+02 5.366558e+02 1.889704e+02 5.297840e+02 [6] 3.969138e+02 4.842374e+01 7.332244e+01 2.714888e+02 2.206858e+01 [11] 2.341574e+01 1.264275e+02 1.200544e+00 4.245421e+01 2.699678e+00 [16] 8.173630e+00 5.036519e+01 2.862919e+00 8.166360e-01 4.950338e-01 [21] 4.865382e+00 8.347403e+00 3.452015e+00 5.114938e+00 3.825116e+00 [26] 6.492647e+00 1.303773e+00 3.032877e+00 2.339920e+01 6.635442e+00 [31] 1.395483e+01 1.389154e-01 3.678023e+00 9.720202e+00 1.442288e+01 [36] 1.314360e+01 1.834868e+00 7.603791e+00 3.694149e+00 3.657834e+00 [41] 5.321104e-01 2.341804e-01 5.829017e-01 1.149373e+01 8.056677e+00 [46] 7.519577e-01 1.171896e+01 1.165308e+00 1.934763e+00 4.543289e-01 [51] 4.202029e-01 4.001236e-01 9.530899e-01 1.865212e+00 2.885231e-01 [56] 7.973283e+00 3.117435e-01 4.559102e+00 8.819931e+00 6.896680e+00 [61] 1.189967e+00 4.735970e-01 2.818682e+00 1.188216e+00 6.416283e-01 [66] 5.087589e+00 4.696423e-03 1.101434e-01 9.177363e-01 2.314689e+00 [71] 5.408393e-01 7.413803e-01 7.573067e-01 1.499061e+00 4.011612e+00 [76] 5.213777e-01 5.113581e-01 5.612353e-01 1.452254e+00 7.500715e-03 [81] 1.325170e+00 3.271190e-01 5.697543e+00 1.175736e+00 1.098217e+00 [86] 3.431807e-01 1.068827e+00 9.967068e-01 1.030463e-01 2.710743e-02 [91] 1.034028e+00 4.729033e-01 5.139196e-01 5.130112e-01 1.213886e+00 [96] 1.585257e+00 4.127605e-01 4.992170e-01 1.006839e-01 4.080804e-01 [101] 7.751384e-02 7.733881e-01 4.270693e-01 1.550673e+00 4.171835e-01 [106] 5.342082e-02 8.999874e-02 5.195724e-01 6.413891e-03 9.199458e-01 [111] 1.818891e+00 6.939681e-01 9.099654e-01 4.700613e-01 3.918691e-01 [116] 4.097379e-01 9.150853e-02 8.106046e-01 9.739069e-01 5.412737e-01 [121] 5.658457e-02 3.991331e-01 8.967405e-01 2.276168e-01 2.375151e-01 [126] 8.827780e-01 6.796582e-02 2.220499e+00 4.949021e-02 3.815829e-01 [131] 9.271116e-01 2.806662e-01 3.051288e-01 1.789000e-02 2.244948e+00 [136] 2.918260e-01 8.987222e-01 7.550069e-02 6.820915e-01 1.573923e-01 [141] 3.359537e-01 4.825831e-01 7.392509e-01 1.924614e-01 5.972489e-01 [146] 7.711466e-01 8.683805e-01 1.216446e-01 5.777679e-01 1.494622e-01 [151] 3.455855e-01 3.497282e-01 4.725661e-01 1.791678e-01 1.680811e-02 [156] 6.992033e-02 1.897709e-01 8.101519e-02 1.070177e-01 5.022564e-02 [161] 8.374879e-01 4.783408e-02 2.956066e-02 3.550181e-01 1.264706e-01 [166] 7.228263e-01 1.686299e-01 2.155041e-01 6.003519e-01 5.925869e-01 [171] 6.890609e-01 2.655269e-02 4.958610e-02 9.408787e-02 3.233454e-01 [176] 3.442884e-01 2.998110e-01 1.089533e-01 2.316863e-01 3.572053e-01 [181] 8.607717e-01 1.138373e-01 1.521317e-01 1.633132e-01 4.416828e-01 [186] 5.872151e-01 2.573527e-01 1.728196e-01 4.633789e-02 9.074716e-02 [191] 1.191570e-01 6.381404e-01 1.597303e+00 1.735398e-01 3.548546e-01 [196] 2.490449e-01 3.750690e-02 4.125414e-01 4.134202e-02 3.160933e-02 [201] 3.816360e-01 9.535585e-03 2.795244e-01 1.518027e-01 3.848957e-02 [206] 1.856488e-01 2.840974e-02 1.072096e+00 2.480357e-01 1.956106e-02 [211] 2.059904e-01 1.412757e-01 1.105173e-01 2.366115e-01 6.337896e-02 [216] 2.956319e-02 6.006391e-02 2.317172e-01 3.821499e-03 1.045720e-01 [221] 1.039768e-01 3.275910e-01 1.389672e-01 1.235661e-02 3.194038e-02 [226] 4.841380e-01 3.801423e-01 2.130845e-01 3.903446e-01 6.332962e-01 [231] 2.504377e-01 4.310281e-01 4.685755e-01 1.484381e-01 3.390895e-01 [236] 1.413051e-01 3.288415e-03 3.328853e-01 8.534103e-02 9.712415e-02 [241] 1.245475e-01 5.541930e-01 2.239534e-02 4.067213e-01 1.986221e-01 [246] 8.243659e-02 1.931502e-01 1.247641e-01 2.840852e-01 1.991264e-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/34idz1228810256.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/1o8os1228810256.ps tmp/1o8os1228810256.png") > system("convert tmp/2v9m31228810256.ps tmp/2v9m31228810256.png") > system("convert tmp/34idz1228810256.ps tmp/34idz1228810256.png") > > > proc.time() user system elapsed 0.834 0.599 0.997