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/1rtmc1228247803.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 3 4 5 4 5 6 7 6 5 4 5 4 3 2 3 4 5 4 [26] 5 6 5 4 3 2 3 4 5 6 5 6 7 8 9 8 9 8 7 6 7 8 9 10 9 [51] 10 9 10 9 8 9 10 11 10 9 10 9 10 11 10 11 10 11 10 11 12 13 12 11 12 [76] 13 14 15 14 15 16 15 16 15 16 17 16 15 14 13 12 13 14 15 16 15 14 15 14 13 [101] 12 13 12 13 14 13 12 11 12 13 12 11 12 13 12 13 12 11 12 13 14 13 14 13 14 [126] 13 14 15 14 13 12 11 12 13 14 13 12 11 10 11 10 11 12 13 14 13 12 11 12 13 [151] 14 13 12 13 14 15 14 13 14 15 16 15 16 17 18 19 18 19 18 17 16 15 14 15 16 [176] 17 16 15 14 13 14 13 12 13 12 11 10 9 10 11 10 11 10 11 12 11 10 11 10 9 [201] 8 7 6 7 6 7 6 7 8 7 8 7 6 7 8 9 10 11 10 11 10 9 8 7 6 [226] 5 6 7 6 5 4 5 6 7 6 7 6 7 8 9 10 11 10 9 8 7 8 9 10 11 [251] 10 11 10 9 10 11 12 11 10 9 10 9 10 11 12 13 14 13 14 13 14 15 16 15 16 [276] 17 16 15 16 17 16 17 16 17 18 19 20 21 20 21 22 23 24 25 26 25 26 25 26 25 [301] 26 25 24 23 24 25 24 23 24 23 22 21 20 21 20 19 20 19 20 21 22 21 22 21 20 [326] 19 20 21 20 19 20 19 20 21 22 21 20 19 18 19 20 19 20 19 20 21 22 23 24 25 [351] 26 27 28 29 30 31 32 31 32 33 34 35 36 35 34 33 34 35 34 35 36 35 36 37 38 [376] 37 38 39 40 41 42 41 40 39 38 37 36 37 38 37 38 37 36 37 36 37 36 37 36 35 [401] 34 33 34 33 34 33 32 31 32 33 34 35 36 35 34 33 34 35 36 35 36 37 36 35 34 [426] 35 36 35 36 37 38 39 40 39 40 39 40 39 40 39 40 41 42 43 42 41 40 41 40 39 [451] 38 37 36 37 38 39 38 37 38 37 38 39 38 39 40 41 40 39 38 37 38 39 38 39 40 [476] 41 42 43 42 41 40 39 38 37 36 35 36 37 38 37 38 37 38 39 38 39 40 39 40 41 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2chb31228247803.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] 3.971938e+03 2.463432e+03 6.190562e+01 2.660700e+02 7.285020e+02 [6] 1.813972e+02 5.018737e+02 1.406352e+02 5.504829e+00 4.682268e+00 [11] 3.932147e+01 3.495289e+01 3.020557e+01 1.485820e+01 2.335526e+00 [16] 7.608104e+00 1.861961e+01 6.527157e+01 1.552839e+01 1.118692e+01 [21] 4.983990e+00 1.948546e+01 1.920202e-01 9.397315e+00 1.676936e+01 [26] 1.911844e+00 1.987126e+00 1.100248e+01 4.756487e+00 4.506915e+00 [31] 1.478595e+00 1.203791e+01 6.214947e-01 2.008630e-01 1.167428e+01 [36] 5.518603e+00 3.160448e+00 2.389494e-01 2.669922e+00 1.633353e+00 [41] 2.999142e-01 9.088252e+00 6.929445e-01 7.575149e+00 3.155650e+00 [46] 3.611368e-01 1.064139e+01 2.764525e+00 6.935363e+00 8.426174e-01 [51] 2.350626e+00 1.899694e+00 4.317038e+00 3.579811e-01 7.082096e-01 [56] 8.815713e-01 5.943559e-02 4.024960e+00 1.748088e+00 2.704296e-01 [61] 6.288431e+00 6.128893e+00 3.351735e+00 5.759604e-02 7.461644e+00 [66] 4.175905e-01 4.777926e+00 1.845406e+00 4.245320e-01 6.311447e+00 [71] 1.046655e+00 2.263906e+00 2.505506e+00 5.389237e-01 2.481995e+00 [76] 1.804531e+00 6.351664e-01 5.599663e-01 1.197165e+00 2.804321e-01 [81] 5.680170e-01 4.574025e-01 3.180852e-01 5.936753e-01 1.783474e+00 [86] 1.280903e+00 2.465059e+00 7.115647e-01 1.004989e+00 2.220736e+00 [91] 3.542490e-01 1.032023e+00 4.343811e-01 3.189198e-01 2.657540e-01 [96] 3.083087e-01 1.070167e+00 1.336420e+00 1.745690e+00 4.096761e-01 [101] 5.658291e-01 1.409342e+00 2.732626e+00 3.710688e-02 2.577618e+00 [106] 4.049756e-01 7.060082e-01 1.514594e-01 9.188882e-02 3.399639e-02 [111] 2.409752e-01 2.936750e-01 5.011608e-01 3.393376e-01 1.680341e-01 [116] 1.274624e+00 1.409388e-01 6.380116e-02 1.332184e-01 1.173597e+00 [121] 6.109125e-02 1.066998e-01 1.938553e-01 1.763133e-01 1.645650e-02 [126] 5.921298e-01 3.675387e-02 2.214033e-01 1.005801e-01 5.387802e-01 [131] 4.723075e-02 2.840051e-01 6.840398e-01 4.286598e-01 7.059199e-01 [136] 3.474013e-01 7.912769e-01 4.539907e-01 6.890696e-02 7.012910e-01 [141] 1.326545e-01 7.273774e-01 1.924742e-01 1.227891e-01 2.983535e-01 [146] 6.065032e-02 5.180716e-01 6.153887e-01 3.407464e-02 2.144503e-01 [151] 4.014024e-02 1.000959e-01 2.812535e-01 3.519509e-01 2.330530e-01 [156] 2.892013e-01 4.532201e-02 1.198317e-02 6.538006e-02 6.623729e-02 [161] 1.210425e-01 8.018199e-02 6.665834e-01 2.396932e-01 8.685331e-03 [166] 1.658799e-01 1.080487e-01 1.628525e-02 1.353865e+00 4.266105e-02 [171] 2.224768e-01 9.290515e-01 1.200243e-01 6.371923e-02 9.855029e-02 [176] 1.687083e-01 3.919770e-01 2.292853e-03 3.531896e-01 2.065816e-01 [181] 1.293372e-01 1.572582e-01 8.707832e-01 8.084289e-01 1.963049e-02 [186] 1.025725e+00 6.572429e-02 3.817607e-01 4.164453e-02 1.799787e-01 [191] 3.083199e-01 2.813559e-02 4.610566e-02 9.287558e-02 1.915597e-01 [196] 8.718338e-02 9.369992e-02 6.611804e-01 2.057690e-02 1.583739e-01 [201] 1.057842e-01 2.154118e-01 2.541925e-01 4.351475e-01 5.099915e-02 [206] 5.117029e-01 3.340550e-01 2.497407e-01 9.271302e-01 6.829341e-01 [211] 2.916759e-01 7.462264e-02 5.553483e-01 5.779530e-02 1.682887e-01 [216] 8.029986e-01 2.979063e-01 1.011447e-02 6.473004e-01 8.887406e-02 [221] 2.169113e-01 9.875105e-02 7.374568e-02 2.418108e-01 5.570434e-02 [226] 8.667014e-03 1.143920e-01 9.758469e-02 6.884348e-01 1.919160e-01 [231] 9.901582e-02 7.932274e-01 4.171343e-01 2.624489e-01 2.915723e-02 [236] 7.924797e-01 2.740930e-02 2.681638e-01 1.996367e-01 9.900155e-02 [241] 2.601827e-01 1.478563e-01 1.323255e-01 5.405573e-02 1.921354e-01 [246] 1.445024e-01 2.918062e-01 4.624724e-01 7.980558e-01 1.541873e-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/3tpbt1228247803.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/1rtmc1228247803.ps tmp/1rtmc1228247803.png") > system("convert tmp/2chb31228247803.ps tmp/2chb31228247803.png") > system("convert tmp/3tpbt1228247803.ps tmp/3tpbt1228247803.png") > > > proc.time() user system elapsed 0.802 0.591 1.039