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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/freestat/rcomp/tmp/1o2zg1228154592.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 0 -1 0 1 2 3 2 3 2 3 4 [26] 5 6 7 8 9 8 7 6 5 6 7 8 9 10 9 8 7 6 7 6 7 8 7 6 7 [51] 6 7 8 7 6 7 8 9 10 11 12 13 12 11 12 11 12 11 10 11 10 9 8 7 8 [76] 9 8 9 10 11 10 11 12 11 10 9 8 7 8 7 8 7 8 9 10 11 12 11 10 11 [101] 12 13 12 11 10 9 8 9 10 9 8 9 8 7 8 9 8 9 10 9 10 9 10 11 12 [126] 11 12 13 12 11 12 13 12 13 12 11 12 13 14 13 14 13 12 13 14 15 16 15 14 15 [151] 14 15 14 13 14 15 16 15 14 15 16 17 18 17 16 17 18 19 18 17 18 17 16 15 16 [176] 15 16 15 16 17 18 17 18 17 18 17 18 19 18 19 20 19 18 17 16 17 18 19 18 19 [201] 20 19 18 17 18 19 18 19 18 19 20 19 18 17 16 17 16 17 18 17 16 17 18 17 16 [226] 17 18 19 20 19 20 19 18 17 16 17 16 17 18 17 16 17 16 15 16 15 14 13 14 13 [251] 12 13 14 13 12 13 14 13 14 13 14 13 14 15 14 13 12 13 12 13 12 11 12 11 12 [276] 11 12 11 10 9 8 9 8 9 10 9 8 7 6 5 4 3 2 1 2 3 2 1 2 1 [301] 2 1 0 -1 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 0 -1 -2 -1 0 -1 -2 -1 0 1 2 [326] 1 0 1 2 1 2 1 0 -1 0 1 2 1 2 1 0 1 2 1 2 1 2 1 0 -1 [351] 0 1 0 -1 0 1 2 3 2 3 4 5 6 7 6 7 8 7 6 5 6 5 6 5 6 [376] 5 4 3 4 5 4 3 2 1 0 -1 0 1 2 1 0 1 2 3 4 3 2 3 2 3 [401] 2 1 2 1 2 3 2 3 4 5 4 3 2 1 2 1 0 -1 -2 -1 0 1 0 1 2 [426] 3 4 5 4 3 2 1 0 -1 -2 -1 0 1 0 1 0 -1 -2 -3 -4 -5 -6 -7 -6 -5 [451] -4 -3 -2 -1 -2 -1 0 1 2 1 2 3 4 5 4 5 4 3 4 3 4 3 4 5 6 [476] 7 6 7 6 7 6 5 6 7 6 5 4 5 6 5 6 5 4 5 4 3 2 1 2 3 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/29eq61228154592.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] 3.730334e+03 2.167483e+03 3.312487e+02 3.349352e+02 2.591915e+02 [6] 2.876111e+01 9.250451e+01 1.779482e+01 1.139266e+01 8.376795e+01 [11] 7.944109e+01 3.678192e+00 5.458525e+00 4.973194e+00 1.329837e+02 [16] 1.344052e+01 5.823158e+00 1.682245e+01 9.928847e-01 1.036411e+01 [21] 4.250558e+00 7.416759e+00 1.854871e+01 1.236796e+01 2.566982e+01 [26] 2.278583e-03 4.465876e+00 3.341135e+00 1.455796e+01 1.666197e+01 [31] 8.665887e+00 1.791528e+01 8.084148e+00 1.813474e+00 1.122192e+01 [36] 6.909973e+00 1.525701e+00 7.227006e-01 5.027193e+00 4.997577e+00 [41] 9.023168e-01 4.514040e+00 1.744958e+00 4.883007e-01 2.298807e+00 [46] 7.282065e+00 6.992076e+00 1.462408e+00 1.509555e+00 6.562144e+00 [51] 2.092450e+00 1.903385e+00 1.863039e+00 7.632499e-03 3.693498e+00 [56] 2.155859e-01 5.050053e-01 5.390288e-01 9.497341e-02 1.107277e+00 [61] 5.107770e-01 7.568818e-01 3.471196e+00 8.344486e-01 1.222646e+00 [66] 8.084480e-01 3.258811e-01 2.262312e+00 4.810425e+00 3.644246e+00 [71] 1.496201e+00 1.330157e+00 4.715212e-01 1.003565e-01 9.130356e-01 [76] 5.955223e-01 2.195439e+00 3.343625e-02 9.835396e-01 2.080794e+00 [81] 6.191899e-01 6.411851e-01 4.297836e+00 9.166250e-02 5.572019e-01 [86] 2.668297e-01 8.835325e-01 6.736447e-01 1.550559e+00 1.139225e+00 [91] 7.984791e-01 1.590955e+00 1.877688e+00 9.091295e-01 1.038669e+00 [96] 1.855243e+00 7.863990e-01 7.889235e-01 7.532648e-01 4.405764e-01 [101] 6.314319e-01 3.211904e-01 3.841666e-01 3.196426e-01 2.388032e+00 [106] 3.964401e-01 1.537257e+00 8.608806e-01 5.423442e-01 8.865719e-01 [111] 9.163650e-01 1.795968e-01 3.987148e-01 8.089086e-02 2.780749e+00 [116] 1.201600e-02 6.030552e-01 3.153491e-01 8.491434e-01 7.264466e-02 [121] 9.246099e-01 8.374938e-01 7.316559e-01 3.465470e-02 2.994066e-01 [126] 1.090522e-01 2.042951e-01 6.939269e-01 1.328121e-02 5.560200e-02 [131] 5.543263e-01 4.489892e-01 6.121836e-04 7.795828e-01 6.025244e-01 [136] 1.823837e+00 2.191899e-01 5.633446e-01 8.749817e-01 3.166969e-01 [141] 2.633878e-01 1.262543e-01 2.643579e-01 4.940704e-01 8.826918e-01 [146] 7.845470e-02 6.151558e-02 1.190982e-01 4.444392e-01 3.186515e-01 [151] 2.152090e-02 8.961978e-01 6.277008e-01 4.995220e-01 4.633015e-01 [156] 4.723341e-01 7.601678e-01 1.842191e-01 5.569589e-01 3.237186e-01 [161] 1.295064e-01 1.696694e-01 1.793710e-01 1.822085e-01 5.609460e-01 [166] 1.535793e-01 5.389889e-01 1.304362e-01 3.458096e-01 1.050281e-01 [171] 5.910367e-01 3.979551e-03 2.036205e-01 3.734530e-01 1.088722e-01 [176] 8.567567e-02 1.036343e+00 1.629434e-01 1.278308e-01 2.687963e-01 [181] 4.727757e-01 1.550044e-01 1.916950e-02 1.038808e-01 2.113198e-01 [186] 3.549245e-01 8.930849e-02 9.072105e-01 5.075010e-01 1.360310e-01 [191] 5.584527e-02 2.208659e-02 1.274520e-01 3.014186e-01 8.208659e-01 [196] 8.639983e-01 2.966991e-01 7.112646e-01 2.207495e-02 1.069982e-01 [201] 8.153719e-02 2.111147e-02 2.211397e-01 1.548365e-01 1.004670e-01 [206] 2.231802e-01 3.958662e-01 2.105782e-02 1.456572e-01 2.125409e-01 [211] 5.182746e-02 4.095552e-01 4.976028e-02 5.428132e-01 1.004232e+00 [216] 4.231872e-01 3.413524e-01 2.355978e-01 1.037242e-02 1.450086e-01 [221] 5.931667e-01 1.864337e-01 1.153397e-01 6.335008e-01 3.990258e-02 [226] 9.210036e-02 2.262785e-02 1.516063e-01 5.594540e-01 7.462825e-02 [231] 1.716947e-01 4.044418e-01 1.440828e-01 3.802813e-01 3.101171e-03 [236] 8.096185e-02 3.534361e-01 5.080783e-01 3.129599e-02 2.588315e-01 [241] 1.965475e-01 3.629646e-02 2.369895e-01 1.696615e-01 2.287090e-01 [246] 5.280013e-02 1.826989e-01 2.012254e-01 3.185068e-01 2.151562e-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/freestat/rcomp/tmp/3clcl1228154592.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/1o2zg1228154592.ps tmp/1o2zg1228154592.png") > system("convert tmp/29eq61228154592.ps tmp/29eq61228154592.png") > system("convert tmp/3clcl1228154592.ps tmp/3clcl1228154592.png") > > > proc.time() user system elapsed 1.052 0.729 1.186