R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. 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/1jvg21228167233.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 -1 -2 -3 -4 -5 -4 -5 -6 -5 -4 -5 -6 -5 -4 -3 -2 -3 -4 -3 -2 [26] -1 0 1 2 3 2 1 2 1 2 3 4 3 4 3 2 3 4 5 6 5 6 5 4 5 [51] 4 3 2 1 0 1 2 1 2 3 2 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -3 -2 -1 -2 [76] -3 -2 -3 -4 -3 -2 -3 -4 -3 -4 -3 -4 -5 -6 -5 -4 -5 -4 -3 -2 -3 -2 -1 0 1 [101] 2 1 2 3 4 3 2 3 4 3 2 1 0 -1 0 -1 -2 -3 -4 -5 -4 -5 -6 -7 -8 [126] -9 -8 -7 -8 -7 -6 -7 -8 -7 -6 -7 -6 -5 -4 -3 -2 -1 0 -1 0 1 0 -1 -2 -1 [151] -2 -3 -4 -5 -4 -3 -2 -1 -2 -3 -2 -1 0 1 0 -1 -2 -3 -4 -3 -2 -3 -2 -1 -2 [176] -1 -2 -3 -2 -3 -2 -3 -2 -1 -2 -1 0 -1 -2 -1 0 1 2 3 4 5 6 7 6 7 [201] 8 7 6 7 6 7 6 7 8 7 8 7 8 7 6 5 6 5 4 3 2 3 4 3 2 [226] 1 0 1 2 1 0 -1 -2 -1 0 1 0 -1 -2 -1 0 -1 0 -1 0 1 2 3 4 3 [251] 4 3 4 5 6 5 6 7 8 9 10 9 8 9 8 9 10 11 12 13 12 11 10 11 12 [276] 11 10 9 10 11 12 11 12 13 14 15 16 15 14 13 12 13 14 13 14 15 14 13 14 13 [301] 14 13 14 13 12 13 12 13 14 13 14 13 12 13 14 15 16 15 14 15 14 13 14 13 12 [326] 13 14 15 16 15 16 17 18 19 20 19 18 19 20 21 20 19 18 19 18 17 18 17 18 19 [351] 20 19 18 19 18 19 18 19 20 21 20 21 22 21 20 19 20 19 18 19 18 19 20 21 20 [376] 19 20 21 22 21 22 23 22 21 22 23 24 25 26 25 24 23 24 23 22 21 22 21 22 23 [401] 24 25 24 25 26 25 24 23 22 21 22 23 22 23 24 23 22 21 22 23 22 21 20 21 22 [426] 21 20 19 18 19 20 21 20 19 20 21 22 23 22 23 22 21 22 23 24 25 24 25 24 23 [451] 22 21 22 23 22 21 20 19 20 19 18 19 18 17 16 15 16 15 14 15 16 17 16 17 18 [476] 19 18 19 18 19 18 17 16 17 16 17 18 17 18 19 20 19 18 19 20 21 20 19 18 19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2eqlq1228167233.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] 1.830420e+03 7.988903e+02 5.217099e+02 2.933441e+02 5.527078e+01 [6] 2.885050e+02 1.101776e+02 9.412142e+01 3.576189e+02 2.866290e+02 [11] 2.076420e+01 1.533438e+01 5.638025e+01 4.673706e+00 4.470268e+01 [16] 7.138943e+01 4.428809e+00 2.326401e+01 3.961386e+00 3.965521e+00 [21] 1.746144e+01 5.660825e+00 9.382021e+00 2.395291e+00 5.935849e+00 [26] 2.395889e+00 7.535094e+00 3.183073e+00 2.359246e+01 1.998618e+00 [31] 4.916216e+00 9.897387e-01 5.868239e+00 3.424255e+00 1.321335e+01 [36] 4.754217e+00 1.612258e+00 1.318800e+00 6.863188e+00 6.115579e+00 [41] 1.927733e+00 8.547082e+00 4.702788e+00 1.272099e+00 2.890208e+00 [46] 2.511037e+00 2.167835e-01 8.779886e+00 1.546654e-01 3.388276e-01 [51] 9.252818e-03 2.176769e-01 7.604365e-01 3.955175e+00 7.612072e-01 [56] 5.132018e-01 4.203640e-01 1.479352e+00 1.912334e+00 5.238794e-01 [61] 5.164916e-01 9.411283e+00 1.868142e-01 1.104069e+00 1.293975e-01 [66] 1.352139e+00 2.623718e+00 5.706781e-02 1.404287e+00 2.306312e+00 [71] 1.844451e+00 1.643986e+00 5.312375e-01 1.072406e-01 1.008886e+00 [76] 6.167284e+00 1.922431e+00 3.050623e-01 1.396645e+00 8.723458e-01 [81] 1.040711e+00 2.524683e+00 2.867379e+00 3.293717e+00 1.706065e+00 [86] 1.564548e+00 3.214135e+00 1.145177e+00 9.361077e-01 3.834337e-02 [91] 1.286982e+00 1.355826e+00 1.361107e+00 6.009625e-01 3.194639e-02 [96] 1.012659e+00 1.474409e+00 1.054619e-01 3.082057e-01 1.411391e+00 [101] 1.589157e-01 1.280136e-01 5.468881e-01 4.731679e-01 2.943461e-01 [106] 2.935975e+00 1.477489e-01 1.474792e-01 5.254109e-01 3.029953e-01 [111] 6.640713e-03 2.005721e-01 7.782714e-01 1.748747e+00 1.577785e-01 [116] 5.778989e-02 1.116843e+00 3.803437e-01 1.218993e-01 1.611343e-01 [121] 4.683292e-01 3.407191e-01 8.292157e-02 2.669243e-01 2.798234e-01 [126] 1.281291e-01 4.464072e-01 1.483869e+00 5.864723e-01 1.768474e+00 [131] 2.289015e-01 6.152098e-01 6.623330e-01 9.795227e-01 1.774785e-01 [136] 4.840864e-01 2.860139e-01 8.487309e-02 1.140802e-01 3.202851e-03 [141] 1.154234e-01 4.858033e-01 1.638269e-01 3.609667e-01 8.180633e-01 [146] 8.130280e-01 6.043153e-01 4.824074e-01 2.248456e-01 9.270952e-01 [151] 4.354811e-01 7.522807e-02 1.702060e-01 5.773767e-02 3.862740e-01 [156] 6.706096e-01 3.220045e-01 1.299239e-01 1.410271e-01 2.277700e-01 [161] 7.584208e-01 1.095726e-01 8.119957e-01 5.343800e-01 2.544201e-01 [166] 2.078090e-01 5.741120e-01 8.635881e-03 1.643494e+00 1.147907e-01 [171] 5.184249e-01 9.017713e-01 6.062655e-02 2.476722e-01 1.000461e-01 [176] 5.196103e-01 1.239266e-01 1.287554e-03 2.015696e-01 9.293493e-01 [181] 1.348869e-01 1.866451e-01 3.525637e-01 1.862475e-01 1.712946e-01 [186] 2.556587e-01 3.450526e-01 1.676329e-01 9.641298e-01 2.697045e-01 [191] 2.608591e-01 2.664030e-01 6.082495e-01 8.254431e-02 1.346328e-01 [196] 2.055366e-01 2.514225e-01 9.692514e-02 1.034847e+00 1.295333e-01 [201] 2.116141e-01 3.104681e-02 2.127099e-02 3.291413e-01 4.247461e-01 [206] 6.946400e-02 1.144055e-01 1.401742e-01 1.887685e-01 1.641415e-02 [211] 8.169259e-02 1.784859e-01 3.589273e-02 3.181392e-01 2.397216e-02 [216] 5.519593e-02 9.503959e-01 5.367875e-02 2.072494e-01 3.555278e-01 [221] 6.357647e-01 1.771596e-02 9.608435e-04 1.866290e-01 2.435207e-01 [226] 2.666710e-01 1.699252e-02 4.909787e-01 4.346411e-02 2.782588e-02 [231] 5.765412e-02 5.387102e-02 3.600064e-01 9.712930e-02 8.709047e-02 [236] 6.711347e-01 1.176150e-01 2.869393e-01 3.773297e-02 9.016763e-02 [241] 4.009055e-02 1.366141e-02 3.805679e-01 7.355025e-02 2.318561e-01 [246] 2.080662e-01 8.963744e-02 1.207446e-01 1.592116e-01 2.114143e-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/3un731228167233.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/1jvg21228167233.ps tmp/1jvg21228167233.png") > system("convert tmp/2eqlq1228167233.ps tmp/2eqlq1228167233.png") > system("convert tmp/3un731228167233.ps tmp/3un731228167233.png") > > > proc.time() user system elapsed 0.822 0.627 1.300