R version 2.7.0 (2008-04-22) 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/1urt41227969748.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 7 8 9 8 9 10 9 10 9 10 11 [19] 12 11 12 11 10 11 12 11 12 11 12 13 14 15 14 13 14 13 [37] 12 13 12 11 12 13 14 13 12 11 10 9 10 9 8 7 6 7 [55] 6 7 6 5 4 5 4 5 6 5 6 5 4 3 4 3 2 3 [73] 4 3 4 5 6 5 4 3 4 5 6 5 4 5 4 3 2 1 [91] 0 -1 0 -1 -2 -3 -2 -1 -2 -1 0 1 2 1 2 1 2 3 [109] 2 1 0 -1 0 1 0 1 0 1 0 -1 -2 -3 -4 -5 -4 -3 [127] -4 -3 -4 -5 -6 -7 -8 -7 -8 -9 -10 -9 -8 -7 -8 -7 -6 -7 [145] -8 -7 -8 -9 -8 -9 -10 -11 -10 -9 -10 -9 -8 -7 -8 -9 -8 -7 [163] -8 -9 -10 -9 -8 -9 -10 -11 -10 -9 -8 -7 -8 -7 -6 -7 -8 -9 [181] -8 -9 -8 -9 -10 -11 -10 -9 -10 -9 -8 -9 -10 -9 -10 -11 -10 -9 [199] -10 -9 -10 -9 -8 -7 -8 -9 -10 -9 -8 -9 -8 -9 -10 -11 -10 -11 [217] -10 -11 -12 -11 -12 -13 -14 -15 -14 -15 -16 -17 -16 -17 -18 -19 -18 -19 [235] -18 -17 -18 -17 -16 -17 -16 -17 -16 -15 -16 -15 -14 -15 -16 -17 -18 -17 [253] -16 -17 -18 -19 -18 -19 -20 -19 -18 -17 -18 -17 -16 -17 -16 -15 -16 -15 [271] -14 -13 -14 -13 -12 -13 -14 -13 -12 -11 -12 -11 -10 -9 -10 -11 -10 -9 [289] -8 -7 -8 -7 -8 -7 -6 -5 -6 -5 -4 -3 -4 -5 -4 -5 -6 -5 [307] -4 -3 -4 -3 -4 -5 -4 -5 -4 -5 -4 -5 -6 -5 -6 -5 -6 -7 [325] -8 -9 -10 -11 -10 -11 -10 -11 -12 -13 -12 -13 -12 -11 -10 -9 -10 -9 [343] -10 -11 -10 -11 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -4 -3 -2 -1 [361] -2 -1 -2 -1 0 -1 -2 -3 -2 -3 -2 -3 -4 -5 -4 -3 -2 -1 [379] 0 -1 0 1 2 1 2 1 2 3 2 1 0 1 2 3 4 3 [397] 4 5 4 5 6 7 8 7 6 7 8 7 8 7 6 7 8 9 [415] 8 7 6 5 4 3 2 3 2 1 0 -1 0 -1 0 -1 0 -1 [433] -2 -3 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 0 1 2 3 2 1 [451] 0 1 2 3 4 5 4 3 2 3 4 5 4 5 6 7 6 7 [469] 8 7 6 5 6 7 6 7 8 9 10 11 12 11 12 11 10 9 [487] 10 9 8 7 8 7 6 7 6 5 4 3 4 5 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2tjrz1227969748.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] 1.108271e+04 8.105435e+02 3.217833e+02 8.284317e+02 3.328389e+02 [6] 7.013544e+02 1.999443e+02 1.949803e+02 1.431617e+02 1.108686e+02 [11] 6.022851e+01 9.020195e+01 4.796752e+00 2.771172e+01 6.103314e+01 [16] 9.957419e+00 7.877129e+00 1.607460e+01 2.799068e+00 4.329732e+00 [21] 1.438271e+01 2.332731e+01 5.902992e+00 1.534853e+00 2.072515e+01 [26] 4.470120e+00 8.738885e+00 3.528491e+00 3.056180e+00 1.842453e+00 [31] 1.143041e+01 2.655870e-01 6.846385e+00 9.239905e+00 2.242455e+00 [36] 6.934951e+00 3.265910e-01 2.306071e+00 2.071042e-01 4.625480e+00 [41] 1.745421e+00 1.550417e+00 1.521074e+00 4.327273e-01 2.076115e+00 [46] 1.105147e+00 9.824063e+00 9.826581e-01 2.883627e+00 3.530489e-01 [51] 1.645348e+00 1.707499e+00 1.958180e-01 6.076859e-01 2.591061e+00 [56] 2.538201e+00 4.593489e+00 2.366093e+00 2.491746e+00 6.690593e-01 [61] 3.485679e+00 9.238874e-01 2.249151e-01 3.166235e+00 1.441712e+00 [66] 7.269166e-01 1.123900e-01 1.702617e+00 7.743772e-02 1.378929e-01 [71] 3.751067e+00 1.796887e+00 3.200584e-01 3.579415e-01 2.927406e+00 [76] 5.093438e-02 8.587680e-01 3.982290e+00 4.839905e-01 3.595505e-01 [81] 1.617916e+00 4.524688e-01 8.558778e-02 1.556155e+00 8.977703e-01 [86] 2.842874e-01 3.974670e-01 3.744806e-01 2.272041e-01 7.432155e-01 [91] 7.170674e-02 2.165665e-01 4.051811e+00 1.673351e+00 2.460437e+00 [96] 1.502161e-01 5.170552e-01 3.940218e-01 1.114748e+00 1.023710e+00 [101] 2.649410e-01 8.686892e-01 3.018031e-02 1.100652e+00 3.371409e-01 [106] 2.563953e+00 8.650944e-01 1.713997e-02 4.047268e-01 1.134280e+00 [111] 1.303505e+00 1.122074e+00 1.078075e-02 3.424687e-01 1.135519e+00 [116] 3.336273e-01 9.298664e-01 8.449965e-01 9.951637e-01 1.774478e-01 [121] 1.671116e+00 2.653951e-02 4.795047e-01 1.213911e+00 5.842216e-02 [126] 4.863070e-01 8.992826e-01 4.405572e-01 2.094702e-01 1.864612e-01 [131] 9.148771e-01 1.273124e-01 2.434584e-01 1.421880e-01 1.299838e+00 [136] 1.835316e-01 2.019340e-01 8.857941e-02 1.951755e-03 5.430563e-01 [141] 7.380534e-01 5.039395e-01 1.498365e+00 2.083453e+00 5.497356e-01 [146] 1.644146e-01 4.788506e-01 3.911988e-01 8.342266e-01 1.152778e-01 [151] 9.008995e-02 3.720400e-01 3.622201e-02 5.566623e-01 6.389682e-01 [156] 3.074021e-01 3.026402e-01 3.010472e-02 1.764914e-02 2.634633e-01 [161] 6.981867e-02 2.802889e-01 2.767647e-01 1.003968e-02 8.715995e-02 [166] 1.018939e-01 8.082935e-01 6.685734e-01 7.046010e-01 1.323920e-01 [171] 1.950353e-02 3.618946e-01 3.484446e-01 5.466299e-02 2.638242e-01 [176] 5.444345e-02 2.506655e-01 3.687191e-02 7.351585e-01 6.294498e-02 [181] 4.815708e-02 5.375915e-01 5.810481e-02 2.710918e-01 3.296748e-01 [186] 8.788466e-02 8.009764e-01 5.899183e-01 1.848010e-01 5.145436e-02 [191] 2.351844e-01 1.666415e-01 7.767904e-02 2.440403e-01 2.917578e-01 [196] 3.637773e-01 1.535698e-01 5.765608e-01 2.379032e-01 1.971783e-01 [201] 6.544468e-01 1.302963e-01 1.026430e-03 9.315929e-02 2.147170e-01 [206] 2.468594e-02 3.524190e-01 4.934167e-01 1.775919e-02 3.066984e-01 [211] 1.705648e-01 4.055890e-01 1.322561e-03 4.529863e-01 1.656820e-01 [216] 8.965168e-01 9.353375e-01 7.894260e-02 1.038968e-01 4.278960e-01 [221] 2.113278e-01 1.502809e-01 1.098614e-01 3.122075e-01 6.938901e-01 [226] 9.175011e-02 7.771468e-02 2.611164e-03 3.898893e-01 1.100541e-01 [231] 1.163881e-01 4.203598e-01 1.248020e-01 1.007332e-01 3.130756e-01 [236] 1.420887e-01 2.869412e-01 4.801276e-02 3.881180e-02 6.975086e-01 [241] 3.218193e-01 2.415975e-02 4.628271e-01 4.791280e-01 7.210294e-02 [246] 1.089412e-01 7.874131e-01 4.797993e-03 3.830235e-02 1.833741e-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/3gi1k1227969748.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/1urt41227969748.ps tmp/1urt41227969748.png") > system("convert tmp/2tjrz1227969748.ps tmp/2tjrz1227969748.png") > system("convert tmp/3gi1k1227969748.ps tmp/3gi1k1227969748.png") > > > proc.time() user system elapsed 1.907 1.028 2.033