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/1vdxf1227992852.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 -2 -3 -2 -3 -4 -3 -2 -3 -2 -3 -2 -3 -2 -1 [19] -2 -1 -2 -3 -2 -3 -2 -3 -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 [37] -4 -3 -2 -1 -2 -1 0 -1 -2 -1 0 1 0 1 2 3 4 3 [55] 2 1 2 1 0 1 2 1 0 -1 -2 -1 0 1 2 1 2 1 [73] 0 1 2 1 0 1 2 1 2 1 2 1 2 3 2 3 4 3 [91] 4 5 6 5 4 5 6 5 6 7 8 9 10 9 10 11 10 11 [109] 10 11 12 11 10 11 10 9 8 9 10 11 12 11 10 9 10 11 [127] 12 13 14 13 14 15 14 13 12 13 14 15 14 15 14 15 14 13 [145] 12 13 14 15 16 17 16 17 16 17 16 15 14 13 14 15 16 15 [163] 14 15 14 13 12 11 12 13 14 15 16 15 16 15 16 15 14 13 [181] 12 13 14 13 14 15 16 15 14 13 12 13 14 13 12 11 12 13 [199] 12 11 10 9 8 9 8 7 6 7 8 7 6 5 6 5 4 5 [217] 4 3 2 1 0 1 2 3 4 5 4 3 4 5 4 3 4 3 [235] 2 3 2 3 4 3 4 5 4 5 4 5 4 3 4 5 4 3 [253] 2 1 0 1 2 1 2 1 0 -1 0 -1 0 -1 -2 -1 -2 -3 [271] -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 -4 -5 -6 -7 -6 -5 -6 -7 [289] -6 -5 -4 -5 -4 -5 -4 -3 -4 -3 -2 -3 -2 -1 0 1 2 3 [307] 4 5 4 3 2 1 0 -1 -2 -1 -2 -3 -4 -3 -4 -5 -6 -7 [325] -6 -7 -6 -5 -4 -5 -4 -5 -4 -5 -4 -3 -2 -3 -2 -1 -2 -1 [343] 0 1 0 1 2 3 2 3 2 3 2 3 2 1 0 1 0 -1 [361] 0 -1 -2 -3 -4 -5 -4 -5 -6 -5 -4 -3 -2 -3 -4 -5 -4 -5 [379] -6 -7 -8 -7 -8 -9 -10 -9 -8 -9 -8 -9 -10 -9 -8 -7 -8 -9 [397] -10 -11 -10 -9 -8 -9 -10 -11 -12 -13 -14 -13 -12 -13 -12 -11 -12 -13 [415] -12 -13 -12 -11 -12 -13 -14 -15 -14 -15 -14 -15 -16 -17 -16 -15 -16 -17 [433] -16 -17 -18 -19 -20 -19 -18 -19 -18 -19 -18 -19 -20 -21 -22 -23 -24 -23 [451] -24 -23 -22 -21 -22 -23 -24 -23 -24 -25 -24 -25 -24 -23 -22 -21 -20 -19 [469] -20 -19 -20 -19 -20 -21 -22 -23 -22 -23 -22 -21 -22 -21 -20 -19 -20 -19 [487] -20 -21 -20 -21 -22 -23 -24 -25 -24 -23 -22 -21 -22 -21 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2yrhz1227992852.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] 5.957635e+03 2.039115e+03 1.826770e+03 5.884030e+02 8.240859e+01 [6] 2.074321e+02 3.247410e+01 2.586805e+02 1.014085e+02 1.490842e+02 [11] 9.906322e+00 1.363773e+02 3.037414e+01 1.843169e+01 2.818640e+01 [16] 5.900079e+00 7.308371e+00 7.200391e+00 1.167651e+01 1.014333e+01 [21] 7.922631e+00 1.655203e+01 1.606291e+01 2.663659e+00 1.520048e+01 [26] 2.925188e+00 3.681378e+00 2.596759e+00 1.080889e+01 3.165255e+00 [31] 7.776804e+00 1.804425e+00 9.917157e-01 1.176112e+00 1.216192e+00 [36] 3.615689e+00 1.946783e+01 7.524494e+00 3.230936e+00 1.842324e+00 [41] 6.458667e+00 2.879614e+00 7.409755e+00 1.856930e+00 5.556055e+00 [46] 3.291693e+00 2.533579e-01 1.112535e+01 6.364774e-01 5.728283e+00 [51] 4.510881e+00 8.874709e-02 3.321145e+00 1.382203e+00 7.613364e-02 [56] 6.204545e-01 2.966464e+00 2.691973e+00 1.310232e+00 1.398962e+00 [61] 3.235850e-01 2.862170e+00 2.967104e+00 5.780861e-01 1.504644e+00 [66] 5.313512e-01 1.612906e+00 2.896587e-01 5.532415e+00 5.007769e-01 [71] 1.062468e-01 6.018159e-01 1.574572e+00 8.720438e-01 1.017638e+00 [76] 1.064365e+00 3.707930e+00 1.978649e-01 2.015771e-02 6.319405e-01 [81] 5.065889e-02 4.156306e-01 1.838306e-01 9.645174e-01 2.057276e-01 [86] 9.509523e-01 2.621441e+00 2.825016e+00 2.104979e+00 6.877446e-01 [91] 9.929965e-01 2.993166e+00 6.788368e-01 8.245505e-02 3.511542e-01 [96] 4.916659e-02 1.244031e+00 2.617685e+00 1.482907e-01 4.053319e-01 [101] 1.849796e-01 1.050883e-01 2.424638e-01 6.228822e-01 5.525257e-01 [106] 1.046190e+00 9.355562e-02 1.324338e-01 1.755648e-01 3.510667e-01 [111] 3.404244e+00 1.712369e+00 3.822185e-01 8.703114e-01 7.343246e-01 [116] 4.456499e-01 3.700818e-01 5.930094e-01 4.994870e-01 1.930062e-01 [121] 1.631231e-01 4.010197e-01 8.752004e-01 1.509647e-01 4.830535e-01 [126] 2.345438e-01 2.236625e-01 3.159851e-01 3.104755e-02 3.618863e-01 [131] 7.862807e-01 4.853481e-01 6.727913e-01 1.413397e-01 3.185100e-01 [136] 6.451751e-02 1.855260e-01 2.148880e+00 7.898387e-02 2.329109e+00 [141] 8.367496e-01 9.682209e-02 6.676669e-01 1.054304e-01 1.044147e+00 [146] 3.285767e-02 3.287595e-02 2.141557e-01 2.691386e-01 3.095972e-01 [151] 5.425580e-02 1.041614e-01 5.364183e-01 1.132450e-02 9.434869e-02 [156] 2.861822e-01 2.115796e-01 6.013928e-03 2.276650e-01 8.090324e-01 [161] 3.287661e-01 3.194599e-01 4.685486e-01 2.199538e-01 2.420123e-01 [166] 6.923396e-01 4.231504e-01 1.647343e+00 8.546522e-02 1.040439e-02 [171] 5.068998e-01 9.445609e-02 1.158980e+00 3.604169e-02 6.528502e-02 [176] 7.484697e-01 1.156967e-01 2.765385e-01 4.094961e-02 5.492837e-01 [181] 2.059815e-01 2.892641e-01 3.588703e-01 4.990209e-01 2.055265e-01 [186] 1.850216e-01 1.384064e-01 1.207807e-01 1.421112e-01 6.783534e-02 [191] 6.125022e-02 3.721063e-02 2.934431e-01 4.649430e-01 9.299138e-02 [196] 8.642957e-01 3.325596e-01 2.917365e-01 1.817824e-01 2.019954e-01 [201] 3.791768e-02 1.678326e-01 8.913709e-01 2.301584e-02 2.191011e-01 [206] 3.282164e-01 7.871629e-02 6.092584e-02 7.822068e-02 2.832732e-01 [211] 8.327469e-01 2.034718e-01 1.163464e-01 4.184662e-02 1.778541e-01 [216] 8.866931e-02 1.146129e-01 1.945475e-01 3.348868e-02 4.607383e-01 [221] 2.408275e-02 1.534424e-01 9.957572e-02 2.856752e-01 2.266227e-02 [226] 8.095587e-02 1.077865e-02 4.679870e-01 1.004596e-01 1.092163e-01 [231] 3.401870e-01 5.135071e-03 1.205850e-01 8.325347e-02 1.053315e+00 [236] 6.299049e-01 5.927800e-01 4.528413e-01 5.056742e-03 8.399253e-01 [241] 2.426735e-02 1.492671e-01 2.511729e-02 5.065672e-01 3.488222e-01 [246] 4.314074e-01 2.001444e-01 9.195377e-03 6.993483e-02 4.976301e-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/3nofi1227992852.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/1vdxf1227992852.ps tmp/1vdxf1227992852.png") > system("convert tmp/2yrhz1227992852.ps tmp/2yrhz1227992852.png") > system("convert tmp/3nofi1227992852.ps tmp/3nofi1227992852.png") > > > proc.time() user system elapsed 0.779 0.556 0.924