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. > 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/1vss11228225200.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 -2 -3 -2 -1 0 -1 -2 -3 -2 -3 -4 -3 [19] -2 -3 -4 -3 -2 -1 0 1 0 1 0 -1 -2 -3 -2 -1 0 -1 [37] 0 -1 0 -1 0 1 0 -1 -2 -3 -4 -3 -2 -1 -2 -3 -2 -3 [55] -2 -3 -2 -1 0 -1 0 -1 -2 -3 -2 -3 -2 -3 -2 -1 0 1 [73] 2 1 2 1 2 1 0 1 2 1 0 -1 -2 -1 -2 -1 -2 -3 [91] -4 -3 -2 -3 -2 -1 -2 -1 0 1 0 -1 0 -1 -2 -3 -4 -5 [109] -6 -7 -6 -5 -4 -5 -4 -5 -4 -5 -6 -5 -6 -7 -6 -5 -6 -7 [127] -6 -5 -6 -7 -6 -7 -8 -9 -8 -7 -6 -5 -6 -7 -6 -7 -6 -7 [145] -6 -7 -8 -7 -8 -7 -6 -5 -4 -3 -4 -3 -4 -3 -4 -5 -6 -5 [163] -4 -5 -6 -5 -6 -7 -6 -7 -8 -7 -8 -7 -8 -9 -10 -9 -8 -7 [181] -6 -7 -8 -9 -10 -9 -10 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 [199] -20 -19 -18 -19 -18 -19 -18 -17 -18 -17 -16 -17 -16 -15 -14 -13 -14 -15 [217] -16 -15 -14 -13 -12 -11 -10 -9 -8 -9 -8 -7 -8 -7 -8 -9 -8 -7 [235] -6 -5 -6 -7 -6 -7 -8 -7 -8 -9 -8 -7 -6 -7 -6 -7 -6 -7 [253] -6 -7 -8 -9 -8 -9 -8 -9 -10 -11 -10 -11 -12 -11 -10 -11 -10 -9 [271] -8 -7 -6 -5 -6 -5 -4 -5 -4 -5 -6 -7 -6 -7 -8 -7 -6 -5 [289] -6 -5 -6 -7 -6 -7 -8 -9 -10 -9 -8 -7 -8 -9 -10 -11 -10 -9 [307] -8 -7 -6 -7 -6 -5 -6 -5 -4 -5 -4 -3 -4 -3 -2 -1 -2 -3 [325] -2 -1 -2 -3 -2 -3 -4 -5 -6 -5 -4 -3 -4 -5 -4 -5 -6 -7 [343] -8 -7 -6 -7 -8 -7 -8 -9 -10 -11 -12 -11 -12 -13 -12 -11 -12 -13 [361] -14 -15 -16 -17 -16 -15 -14 -15 -16 -17 -16 -17 -16 -15 -16 -15 -16 -17 [379] -18 -17 -18 -17 -18 -19 -18 -17 -18 -17 -16 -17 -18 -17 -18 -19 -18 -17 [397] -16 -15 -14 -15 -14 -15 -14 -15 -14 -13 -14 -15 -16 -17 -16 -17 -16 -15 [415] -14 -15 -14 -15 -14 -15 -14 -15 -16 -17 -18 -17 -18 -17 -18 -17 -16 -15 [433] -16 -15 -16 -15 -16 -15 -16 -17 -18 -17 -18 -17 -18 -19 -18 -19 -20 -19 [451] -18 -17 -18 -19 -20 -19 -18 -19 -20 -21 -20 -19 -18 -17 -18 -17 -18 -19 [469] -18 -17 -18 -19 -18 -19 -20 -21 -22 -23 -22 -21 -22 -21 -22 -23 -22 -23 [487] -24 -23 -24 -23 -22 -21 -20 -19 -20 -21 -22 -21 -22 -23 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2tp1l1228225200.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] 3.200507e+02 1.427641e+03 4.102852e+02 4.134105e+01 1.485886e+02 [6] 7.171258e+02 6.541288e+01 8.061066e+01 8.362383e+01 9.166124e+01 [11] 3.709400e+01 2.614253e+01 4.708758e-01 2.834971e+01 5.439392e+00 [16] 4.649975e+01 7.441174e+00 1.853761e+01 6.785281e+00 5.161760e+00 [21] 7.785203e+00 1.380661e+01 3.152655e+01 8.298220e+00 7.913279e+00 [26] 5.590569e+00 4.778406e+00 1.454424e+01 2.120736e+00 8.267002e+00 [31] 6.029867e+00 8.819752e+00 6.363297e+00 1.804899e+00 1.231943e+00 [36] 8.571320e+00 5.071726e+00 5.872241e+00 3.865402e-02 7.604472e+00 [41] 5.484752e+00 3.831461e+00 8.551180e-01 2.828021e-01 3.008494e+00 [46] 9.052766e+00 4.930977e-01 5.546602e-01 2.807034e+00 7.732846e-01 [51] 5.472947e+00 7.434459e+00 2.972403e-01 1.160994e+00 1.268765e+00 [56] 3.753845e-01 3.033494e-01 1.879326e+00 2.027438e+00 1.181954e+00 [61] 7.766423e-01 4.769611e+00 1.181023e+00 7.975323e-01 5.534122e+00 [66] 2.063195e+00 1.365884e+00 1.371983e+00 2.120454e-01 4.829103e+00 [71] 5.642865e-01 8.523545e-01 1.051119e-01 8.188729e-01 1.855020e+00 [76] 2.214500e+00 5.534591e-01 2.500636e+00 4.115383e-01 1.392854e+00 [81] 8.268608e-01 1.868990e-02 1.392406e+00 6.065735e-01 9.822376e-01 [86] 6.607316e-01 8.428489e-01 1.162036e+00 2.406523e-02 1.630965e-01 [91] 7.127856e-01 2.523429e+00 1.013679e-01 4.085023e-01 1.554170e-01 [96] 2.255644e-01 1.394450e+00 7.310346e-01 8.661127e-01 1.467237e-01 [101] 1.265415e-01 1.370783e-01 5.856501e-01 4.754564e-01 4.051896e-01 [106] 4.706263e-01 4.713681e-01 1.402439e+00 7.286582e-02 4.936467e-01 [111] 1.279276e+00 1.202322e+00 4.799666e-02 1.271939e-01 5.095219e-01 [116] 4.605589e-01 4.393652e-01 3.225265e-02 1.094681e+00 1.717996e-01 [121] 6.247845e-02 8.159958e-01 1.192528e-01 1.735349e-01 2.058021e-01 [126] 7.134717e-01 4.400663e-01 8.156706e-01 1.229091e+00 9.250347e-01 [131] 9.603387e-02 1.119702e-01 2.696990e-01 1.671789e-01 2.431065e-01 [136] 2.098099e-01 2.909974e-01 7.481581e-02 2.885432e-01 2.919994e-01 [141] 5.100043e-01 4.301477e-01 1.108606e+00 1.017170e+00 4.488015e-01 [146] 1.254984e-01 1.030057e+00 3.109549e-01 4.571663e-02 1.850400e-01 [151] 1.526974e-01 4.548872e-01 2.624601e-01 3.870105e-01 1.438504e+00 [156] 2.163227e-01 5.654825e-01 1.475201e-01 2.065742e-01 3.773187e-01 [161] 1.019317e+00 9.063536e-01 2.377078e-01 6.433036e-01 5.145191e-01 [166] 4.019805e-01 2.459059e-01 2.392727e-01 1.304442e-02 3.649738e-01 [171] 4.148778e-01 9.733822e-03 2.129399e-01 7.891834e-02 3.610585e-01 [176] 7.294546e-01 3.960947e-01 3.611357e-01 1.353327e-01 9.436631e-01 [181] 1.544381e-01 3.642301e-01 2.126178e-01 4.444116e-01 6.502384e-01 [186] 1.364046e-01 4.583507e-02 5.925698e-02 1.532886e-01 2.257373e-01 [191] 4.017839e-01 9.644244e-02 5.841038e-02 1.752329e-01 2.298536e-01 [196] 1.561476e-01 1.968761e-03 9.138572e-01 6.771220e-01 3.460689e-01 [201] 1.523840e-01 1.385579e-02 1.188098e-02 3.292112e-02 4.073308e-01 [206] 3.484834e-01 3.530952e-01 2.682272e-01 1.177057e-01 1.881005e-01 [211] 3.217503e-01 4.004186e-01 1.188489e-01 1.630055e-01 3.160074e-02 [216] 4.160454e-01 7.243912e-01 3.712715e-02 7.398486e-02 3.709855e-02 [221] 2.865726e-01 2.021278e-01 2.452333e-01 2.072138e-01 1.383128e-01 [226] 2.550308e-01 6.792908e-02 1.106471e-01 2.351314e-01 2.943873e-02 [231] 8.554248e-03 1.024736e+00 1.624086e-01 1.099753e-01 2.564798e-01 [236] 9.842685e-02 6.209858e-01 2.867049e-01 3.326806e-02 9.938972e-01 [241] 4.983307e-01 4.561571e-02 1.456831e+00 3.329142e-01 1.107820e-02 [246] 2.681101e-01 7.572070e-01 6.391090e-01 8.755494e-02 1.956432e-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/3v9pi1228225200.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/1vss11228225200.ps tmp/1vss11228225200.png") > system("convert tmp/2tp1l1228225200.ps tmp/2tp1l1228225200.png") > system("convert tmp/3v9pi1228225200.ps tmp/3v9pi1228225200.png") > > > proc.time() user system elapsed 0.846 0.646 2.296