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/1ayfz1228152966.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 -3 -2 -1 -2 -3 -2 -1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 -2 -1 0 [26] 1 0 -1 0 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -4 -3 -2 -3 -4 -3 -4 -5 -6 -7 [51] -6 -5 -4 -3 -4 -5 -4 -3 -2 -1 0 -1 0 1 0 -1 -2 -1 0 1 0 1 2 3 4 [76] 3 4 5 4 3 4 3 2 1 2 3 2 1 2 1 0 1 2 1 2 3 4 3 4 5 [101] 4 5 4 5 4 5 6 5 4 3 4 5 4 5 6 5 4 3 2 1 2 1 0 1 2 [126] 1 2 3 4 3 2 1 2 1 0 -1 -2 -3 -2 -3 -4 -3 -2 -1 -2 -3 -2 -1 -2 -1 [151] 0 1 2 1 0 -1 -2 -1 0 1 2 1 0 1 0 1 2 3 4 5 6 7 8 7 6 [176] 7 6 5 4 5 6 5 4 3 4 5 4 5 4 3 4 5 6 5 4 3 2 1 0 -1 [201] -2 -1 0 1 2 3 2 3 4 5 4 5 6 7 6 5 6 7 8 7 6 7 6 5 4 [226] 3 4 5 6 5 4 3 2 3 2 3 2 1 2 1 0 -1 -2 -3 -2 -1 -2 -1 -2 -1 [251] 0 1 2 3 4 3 2 1 0 -1 -2 -3 -2 -3 -4 -3 -2 -3 -4 -5 -4 -3 -4 -5 -4 [276] -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -1 -2 -1 -2 -3 -4 -3 -4 -3 -4 -5 -4 -5 -6 -5 [301] -4 -3 -4 -3 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 -2 -1 -2 -1 -2 -1 -2 -1 0 1 0 [326] -1 -2 -1 0 -1 -2 -3 -2 -1 -2 -1 0 1 2 1 2 3 4 3 4 5 4 5 4 3 [351] 2 1 2 3 2 3 4 5 4 5 6 5 6 5 6 7 8 9 8 9 8 7 6 7 6 [376] 7 6 7 8 7 6 7 8 7 6 7 8 7 6 5 4 3 2 3 4 3 4 3 2 3 [401] 2 1 0 -1 -2 -3 -2 -1 -2 -1 -2 -1 0 -1 0 -1 -2 -1 -2 -3 -4 -5 -6 -7 -6 [426] -7 -8 -7 -6 -5 -4 -5 -6 -5 -4 -5 -6 -5 -4 -5 -4 -5 -6 -5 -4 -3 -2 -3 -4 -3 [451] -4 -3 -2 -3 -2 -1 0 -1 -2 -3 -2 -3 -2 -1 0 1 2 1 2 1 2 1 2 1 0 [476] -1 -2 -1 0 1 0 -1 0 -1 -2 -3 -4 -3 -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 -6 -7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/26ndy1228152966.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] 1.469349e+02 4.972030e+02 6.006153e+02 9.008315e+02 3.445856e+02 [6] 1.125515e+01 1.328986e+02 2.499125e+00 5.560272e+01 1.233069e+02 [11] 1.997595e+01 4.945742e+00 3.537026e+01 2.961873e+01 1.655576e+01 [16] 3.990410e+01 1.081028e+01 3.426769e+00 2.837732e+01 1.357143e+00 [21] 6.659988e+00 1.381417e+01 5.658318e+01 7.817191e+00 7.532369e+00 [26] 1.838669e+01 2.069246e+01 3.074596e+01 2.103183e-01 2.620752e-01 [31] 1.699353e+01 6.927040e-01 6.637532e+00 7.782463e+00 5.091431e+00 [36] 6.169058e-02 5.067261e+00 2.853649e-01 3.668214e+00 3.019777e+00 [41] 1.103829e-01 8.666768e+00 7.329846e-01 3.782798e+00 3.491127e-01 [46] 7.173783e+00 2.865055e-01 1.797071e+00 3.296296e+00 1.538952e+00 [51] 4.105387e+00 5.022530e-01 2.614059e+00 1.336856e+00 5.005415e-02 [56] 4.074094e+00 6.272235e+00 7.261201e-01 2.995969e+00 6.957334e+00 [61] 4.744521e-01 1.019085e+00 1.675681e-01 8.518920e-01 8.155851e-01 [66] 1.874527e+00 1.051595e+00 4.539501e-02 2.561969e-01 2.448070e+00 [71] 6.879100e-02 4.929628e-02 8.099146e-02 1.843751e+00 2.721898e+00 [76] 3.228636e-02 1.129850e+00 4.241512e-01 1.192150e+00 5.451794e-01 [81] 5.255563e-01 1.097830e-01 4.577038e-01 6.020190e-01 1.492022e+00 [86] 3.098854e-01 7.688820e-02 1.564469e-01 2.003702e+00 8.921489e-01 [91] 9.009574e-02 2.232419e-01 3.471683e+00 4.008493e+00 9.820439e-01 [96] 3.485898e-02 1.142269e+00 2.084102e-01 1.603663e-01 6.179538e-01 [101] 7.888239e-02 1.360666e-01 6.676445e-01 6.116420e-01 1.973520e+00 [106] 1.394500e+00 6.000054e-01 2.114315e+00 7.507249e-01 4.886141e-01 [111] 1.116153e-01 2.448594e-01 1.723590e+00 3.517054e-01 1.155648e-01 [116] 4.386289e+00 8.736481e-02 5.550291e-01 1.117650e-01 5.616346e-01 [121] 2.714903e+00 1.532018e+00 1.954049e-01 5.806665e-01 3.372990e-01 [126] 5.774061e-01 4.425484e-01 2.632696e-02 1.464235e+00 2.965490e-02 [131] 1.662432e-01 4.191731e-01 1.185070e-02 1.099383e+00 3.860843e-02 [136] 1.871540e+00 2.691323e-01 7.138929e-01 1.526444e-01 1.836752e+00 [141] 3.713905e-01 2.647913e-01 4.918412e-01 5.010868e-01 3.389022e-02 [146] 8.751900e-02 2.004404e-01 5.190482e-01 2.182553e-01 9.124339e-02 [151] 9.163953e-02 3.971064e-02 5.021055e-01 8.256913e-03 3.238313e-01 [156] 2.211021e-01 4.447735e-01 4.025137e-01 2.406862e-01 3.730154e-01 [161] 1.320037e+00 4.296833e-02 1.357290e-01 7.899783e-01 1.209400e+00 [166] 2.080716e-02 1.891495e-01 1.118004e-01 2.428950e-02 2.025082e-01 [171] 1.103742e-01 1.130839e+00 6.768559e-01 4.674692e-01 3.133469e-02 [176] 2.634606e-01 3.949658e-01 7.479683e-02 9.406836e-02 6.138227e-01 [181] 1.293283e-01 2.492917e-01 2.354668e-01 4.598717e-02 4.653325e-01 [186] 3.371001e-02 9.889089e-02 2.047023e-01 2.563924e-01 4.745674e-01 [191] 5.311562e-01 6.573821e-02 1.591912e-01 5.749760e-01 1.308333e-01 [196] 2.117484e-01 3.172457e-01 1.581922e-01 1.439497e-01 8.642367e-02 [201] 3.684904e-01 1.610756e-01 4.726060e-01 4.642079e-03 1.141828e+00 [206] 2.157581e-01 6.069688e-01 3.110213e-01 2.501818e-01 4.381491e-02 [211] 1.679931e-02 9.112394e-02 4.409311e-01 9.182687e-02 6.324592e-01 [216] 1.355256e-01 1.860108e-01 7.506888e-02 1.321558e-02 2.560761e-01 [221] 3.310383e-02 4.296227e-01 8.826412e-03 2.761139e-01 1.182791e-01 [226] 1.569794e-01 1.342198e-02 5.530515e-02 8.107772e-02 1.881580e-01 [231] 4.633448e-02 1.882187e-01 4.680847e-02 1.341907e-01 3.956359e-01 [236] 2.301611e-01 1.795430e-01 4.728896e-01 1.002655e-01 5.205676e-02 [241] 1.570031e-01 1.292761e-01 1.549343e-01 8.997119e-03 1.903157e-01 [246] 1.552039e-01 1.411400e-01 1.291467e-01 6.901311e-01 2.352361e-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/3ddox1228152966.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/1ayfz1228152966.ps tmp/1ayfz1228152966.png") > system("convert tmp/26ndy1228152966.ps tmp/26ndy1228152966.png") > system("convert tmp/3ddox1228152966.ps tmp/3ddox1228152966.png") > > > proc.time() user system elapsed 0.810 0.594 1.265