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/1dor71227877905.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 1 2 3 2 3 2 3 2 1 0 -1 0 -1 [19] -2 -3 -4 -3 -2 -1 0 1 0 -1 0 -1 0 -1 0 1 2 1 [37] 2 1 0 -1 -2 -1 0 1 0 1 2 1 0 -1 0 -1 0 -1 [55] -2 -3 -4 -3 -2 -3 -4 -5 -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 [73] -8 -9 -10 -9 -10 -9 -8 -9 -8 -7 -6 -5 -4 -5 -4 -5 -4 -5 [91] -4 -3 -2 -1 -2 -3 -2 -1 -2 -1 0 -1 0 1 2 1 2 1 [109] 2 1 2 3 2 3 2 1 0 -1 0 -1 0 1 0 -1 0 -1 [127] -2 -3 -4 -5 -4 -3 -4 -3 -2 -1 0 -1 -2 -1 0 1 0 1 [145] 2 1 0 1 0 1 0 -1 0 1 0 1 2 3 4 5 4 5 [163] 6 5 6 5 4 5 4 3 4 3 4 5 4 5 6 5 4 5 [181] 4 5 4 5 4 5 6 7 8 7 8 9 10 11 10 9 8 7 [199] 6 7 8 7 6 7 6 7 6 7 8 9 8 9 10 9 10 9 [217] 8 9 8 7 8 7 8 9 10 11 10 11 12 11 10 9 8 7 [235] 8 9 10 11 12 13 14 15 16 17 16 15 16 17 16 17 18 17 [253] 16 17 16 17 18 17 16 15 14 13 14 15 16 17 18 17 16 17 [271] 16 15 16 17 16 15 16 17 18 17 16 15 16 17 18 19 18 19 [289] 20 19 20 21 22 23 22 21 22 23 24 23 22 21 22 23 22 21 [307] 20 21 20 19 18 19 18 17 16 15 16 17 16 17 16 17 16 17 [325] 18 17 18 17 18 17 18 19 20 21 20 21 22 23 24 23 22 21 [343] 22 23 22 23 22 23 22 23 24 25 26 25 24 23 24 25 24 23 [361] 24 23 24 23 22 21 22 21 20 19 18 19 20 21 22 23 24 25 [379] 24 25 26 25 26 27 26 27 26 27 28 27 26 27 28 27 26 27 [397] 26 25 26 27 28 29 28 29 28 27 28 29 30 31 32 31 32 33 [415] 32 31 30 31 30 29 28 27 28 29 28 29 30 29 28 29 30 31 [433] 32 31 32 33 32 33 32 33 32 31 32 33 32 33 34 35 34 33 [451] 34 33 34 33 34 35 36 37 36 37 38 39 40 41 42 41 40 39 [469] 38 37 38 37 38 37 38 39 38 39 40 41 40 39 40 41 42 43 [487] 44 45 46 45 46 45 44 43 42 41 40 41 40 39 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2nnq81227877905.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] 3.141654e+02 5.603503e+02 2.493251e+00 8.564743e+01 1.049682e+01 [6] 1.374748e+02 2.032801e+02 2.132291e+02 9.913519e+00 2.336056e+02 [11] 6.554427e+01 1.985057e+01 1.404246e+01 5.109766e-02 7.741395e-01 [16] 2.405829e+00 4.259056e+00 5.450036e+01 6.894330e+01 3.436908e+01 [21] 3.455580e+00 5.720915e+00 2.833235e+00 8.649127e+00 3.597928e+00 [26] 3.707843e+00 1.343870e+01 2.136159e+01 9.672454e+00 8.281057e+00 [31] 1.234831e+01 1.090896e+01 6.626058e-02 3.317451e+00 4.641198e+00 [36] 2.409880e+00 1.080669e+01 1.005736e+01 6.499695e-01 6.321861e+00 [41] 8.869091e+00 7.217160e-02 1.231712e+00 2.962316e+00 5.610568e+00 [46] 8.115160e-01 1.602465e-02 2.348736e+00 1.006569e+00 5.485978e+00 [51] 1.298947e+00 3.867934e+00 3.830863e-01 1.858539e-01 2.597423e+00 [56] 2.446476e+00 8.000477e-01 6.073002e-01 1.437495e-02 3.010653e+00 [61] 1.781755e-01 1.044283e+00 3.845425e+00 1.821826e-01 1.528538e-01 [66] 1.096379e+00 1.353880e+00 4.348972e-01 2.266565e+00 1.744442e+00 [71] 8.072258e-01 1.332301e+00 5.485365e+00 5.677613e-01 2.969500e+00 [76] 2.958696e-01 1.116580e+00 6.769349e-01 1.343554e+00 7.204126e-01 [81] 4.386093e-02 2.016224e+00 2.830502e-01 7.092333e-01 1.320470e-01 [86] 9.397434e-01 2.518234e-01 3.312374e-02 9.649092e-01 4.516405e-01 [91] 1.489828e-01 2.129669e-01 1.874281e-02 7.480688e-02 1.754518e+00 [96] 3.040504e-01 2.565478e-01 3.112481e-01 2.185527e-01 3.579891e+00 [101] 1.642254e+00 1.985213e+00 3.966181e-02 1.436739e+00 7.435588e-02 [106] 3.127586e-01 6.311672e-01 2.628010e+00 2.693409e-01 1.606996e-01 [111] 2.859148e-01 1.845902e-01 3.198848e-01 4.304173e-01 5.697360e-01 [116] 9.500009e-02 2.869678e+00 5.182134e-01 9.996183e-02 6.810389e-01 [121] 7.471142e-01 4.468403e-01 3.016430e-01 1.736854e-01 4.221913e-01 [126] 1.032670e+00 7.931143e-01 2.990895e-01 3.072771e-03 6.436627e-01 [131] 5.096214e-01 6.491426e-01 1.840830e-01 1.162284e-01 5.494943e-01 [136] 2.938672e-01 2.105822e-01 7.399180e-02 2.530298e-01 6.655040e-01 [141] 7.272872e-02 1.170868e-02 2.034098e-02 9.224856e-01 3.434935e-01 [146] 2.371368e-01 5.671854e-01 2.347633e-02 5.701103e-02 1.109885e+00 [151] 3.917471e-01 7.132954e-02 3.284774e-02 3.058189e-01 8.099638e-01 [156] 4.463892e-01 2.229358e-01 1.108271e-01 1.318335e+00 2.792712e-01 [161] 8.212840e-01 2.033303e-01 6.218667e-01 7.094938e-02 4.826527e-02 [166] 2.176429e-01 3.219294e-01 8.707275e-02 1.177320e+00 4.621077e-01 [171] 6.297445e-01 1.476131e+00 1.987819e-02 8.461492e-01 4.135789e-02 [176] 1.883891e-01 4.389264e-02 5.909989e-01 7.258002e-01 2.287484e-01 [181] 3.349876e-01 1.043094e+00 3.980808e-03 3.966168e-01 1.880405e-01 [186] 6.619427e-02 6.705675e-02 3.130201e-02 1.457335e-01 6.764185e-02 [191] 8.259742e-01 1.713400e-01 2.300380e-01 2.091003e-02 7.093163e-01 [196] 4.250950e-02 3.080340e-01 4.640788e-01 2.465629e-01 5.325516e-01 [201] 1.982874e-01 3.970147e-01 2.063258e-01 1.607141e-01 1.048658e-01 [206] 9.287080e-02 1.064443e+00 1.056010e-01 8.759697e-02 3.980448e-01 [211] 4.352395e-01 3.190587e-01 2.164712e-01 6.569475e-01 1.765957e-02 [216] 4.108625e-02 3.923704e-03 2.743495e-01 2.611168e-01 4.289538e-02 [221] 9.136338e-01 1.635658e-01 1.070321e-01 5.350959e-01 2.382357e-01 [226] 9.771896e-02 5.751647e-01 2.323899e-01 2.050901e-01 6.670824e-02 [231] 2.113798e-01 5.900326e-01 2.690354e-02 1.143339e-01 6.169220e-01 [236] 1.649297e-01 7.719832e-02 1.723809e-01 1.365897e-01 1.209073e-01 [241] 2.291713e-02 4.077452e-01 2.473446e-02 1.556861e-01 1.315973e-02 [246] 2.115350e-01 1.075362e-01 3.784557e-01 2.574673e-01 1.309860e-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/34dqz1227877905.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/1dor71227877905.ps tmp/1dor71227877905.png") > system("convert tmp/2nnq81227877905.ps tmp/2nnq81227877905.png") > system("convert tmp/34dqz1227877905.ps tmp/34dqz1227877905.png") > > > proc.time() user system elapsed 0.816 0.610 0.952