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/1uldw1227974725.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 -3 -2 -1 -2 -1 -2 -3 -4 -3 -2 -1 -2 -1 0 -1 [19] 0 -1 -2 -3 -4 -3 -2 -1 -2 -1 0 -1 -2 -1 0 1 0 -1 [37] -2 -1 -2 -3 -2 -3 -4 -5 -4 -3 -2 -3 -4 -3 -4 -5 -4 -5 [55] -6 -5 -6 -7 -8 -9 -8 -7 -8 -7 -8 -7 -8 -9 -10 -11 -10 -9 [73] -10 -11 -12 -11 -12 -11 -12 -13 -12 -13 -12 -13 -14 -15 -16 -15 -14 -15 [91] -16 -15 -14 -13 -14 -13 -12 -13 -12 -13 -14 -13 -14 -15 -16 -15 -16 -17 [109] -18 -19 -20 -19 -20 -19 -18 -17 -18 -17 -18 -17 -18 -19 -18 -17 -18 -17 [127] -18 -19 -20 -21 -20 -19 -20 -19 -20 -19 -20 -21 -22 -21 -20 -21 -20 -21 [145] -20 -21 -20 -19 -18 -17 -18 -19 -20 -21 -22 -21 -22 -23 -24 -23 -24 -23 [163] -22 -23 -22 -21 -22 -21 -20 -19 -20 -21 -22 -23 -22 -21 -22 -23 -24 -25 [181] -26 -27 -28 -29 -30 -31 -32 -33 -34 -35 -36 -35 -36 -37 -36 -37 -36 -35 [199] -34 -35 -36 -35 -34 -33 -34 -33 -32 -33 -32 -33 -32 -33 -34 -33 -34 -35 [217] -34 -33 -34 -35 -36 -35 -36 -35 -34 -33 -32 -31 -30 -31 -30 -31 -32 -33 [235] -32 -31 -32 -33 -32 -33 -34 -33 -32 -31 -30 -31 -32 -33 -34 -35 -36 -35 [253] -34 -33 -32 -33 -32 -33 -32 -33 -32 -31 -32 -31 -30 -29 -30 -29 -30 -31 [271] -32 -33 -34 -33 -34 -35 -36 -37 -36 -37 -38 -37 -36 -35 -34 -35 -36 -37 [289] -36 -37 -36 -35 -34 -35 -36 -35 -34 -33 -32 -31 -32 -31 -30 -29 -28 -29 [307] -28 -29 -30 -31 -30 -31 -32 -31 -32 -31 -30 -29 -28 -27 -28 -27 -28 -27 [325] -26 -25 -24 -23 -24 -25 -26 -25 -26 -27 -28 -29 -30 -29 -28 -27 -26 -25 [343] -24 -23 -24 -25 -24 -25 -26 -25 -26 -25 -26 -27 -26 -27 -28 -27 -26 -25 [361] -26 -27 -26 -25 -26 -25 -26 -27 -28 -27 -26 -27 -26 -27 -26 -25 -24 -25 [379] -24 -25 -26 -25 -24 -25 -24 -25 -26 -25 -24 -23 -22 -21 -20 -21 -22 -21 [397] -22 -23 -24 -23 -24 -23 -22 -21 -20 -19 -18 -19 -18 -19 -18 -17 -16 -15 [415] -14 -15 -14 -13 -14 -13 -12 -11 -10 -9 -8 -7 -6 -7 -6 -7 -8 -7 [433] -8 -7 -8 -7 -8 -9 -10 -11 -12 -13 -12 -13 -14 -13 -14 -13 -12 -11 [451] -10 -11 -10 -11 -10 -11 -10 -11 -10 -11 -12 -13 -14 -13 -12 -13 -12 -11 [469] -12 -13 -12 -13 -14 -15 -14 -15 -16 -15 -16 -15 -16 -15 -16 -15 -16 -17 [487] -16 -17 -16 -17 -16 -17 -18 -17 -16 -15 -14 -13 -14 -15 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ojh91227974725.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] 1.798356e+04 6.456052e+02 5.667052e+02 1.074270e+03 1.638232e+03 [6] 2.933034e+01 1.076527e+02 7.821210e+01 5.986181e+01 4.920075e+01 [11] 1.129702e+01 8.995563e+01 9.691915e+00 4.177016e+01 3.431129e+01 [16] 7.043067e+01 2.615243e+01 6.320673e+01 6.641746e+00 3.298560e+01 [21] 5.183883e+00 8.988800e+00 1.072793e+01 3.262323e+01 1.564908e+01 [26] 1.180523e+01 2.212635e+01 7.111043e-01 8.591613e+00 4.110080e+00 [31] 1.811073e+01 3.544089e+00 1.611393e+01 5.967452e+00 4.430453e-01 [36] 3.729393e+00 1.000020e+00 6.487364e-01 2.012251e+00 7.148952e+00 [41] 5.915681e+00 2.271819e+00 1.799241e-01 8.862126e-01 1.772480e+00 [46] 3.330960e+00 6.858800e+00 1.385252e+00 2.794230e-01 6.036810e+00 [51] 1.353686e+00 2.798643e+00 4.319344e+00 2.165586e+00 7.695069e-01 [56] 2.404092e-02 5.125841e+00 2.860955e+00 1.051336e+00 2.564965e+00 [61] 2.114546e+00 5.239128e-01 1.402533e+00 5.043884e-01 4.184541e-01 [66] 4.180843e+00 3.585504e-01 2.113796e+00 6.499958e-01 3.881466e+00 [71] 2.202369e-01 4.168305e-02 1.667673e+00 2.750535e+00 1.349560e+00 [76] 3.624409e-01 1.746300e+00 1.003439e-01 1.281058e-01 1.333587e-01 [81] 2.335455e+00 2.625599e+00 2.934879e-01 8.853795e-02 2.107577e-01 [86] 3.858681e-01 4.709418e-01 3.027583e-02 5.264886e-01 4.989568e-01 [91] 1.590333e-01 1.659701e+00 3.011741e-01 9.731533e-01 6.768388e-01 [96] 1.325007e+00 5.853378e-01 1.045263e-02 4.618960e-01 1.347428e-01 [101] 4.769641e-01 8.813173e-01 9.540172e-02 2.004824e-01 8.903643e-01 [106] 3.948771e-01 5.198828e-02 3.001399e-01 3.907262e-01 4.236006e-01 [111] 1.271327e-01 7.476638e-01 2.283440e-01 4.555042e-02 6.414328e-01 [116] 1.490861e+00 6.313901e-01 2.794736e-01 6.051837e-01 3.430957e-02 [121] 1.367606e+00 5.091888e-02 9.209448e-02 4.741058e-01 2.716089e-01 [126] 3.347740e-01 5.041218e-01 9.642851e-01 4.511363e-01 2.413800e-02 [131] 1.322379e-01 9.266762e-02 4.407061e-02 1.043926e+00 3.342998e-01 [136] 1.200084e-01 8.563347e-01 2.985477e-01 3.841001e-01 1.915053e+00 [141] 1.960788e-01 2.171608e-01 1.196835e-01 4.797087e-01 1.632418e-01 [146] 2.565265e-01 9.476095e-02 4.914260e-01 9.293672e-02 7.257765e-01 [151] 2.138802e-01 7.028291e-01 1.619735e-01 1.192232e-01 2.704771e-01 [156] 5.993835e-02 1.141313e+00 7.657214e-02 6.067635e-01 3.818801e-02 [161] 2.887673e-01 1.120905e-01 5.115863e-01 2.179588e-01 2.017747e-01 [166] 2.387785e-01 2.162735e-01 5.251060e-01 3.622528e-01 1.013949e+00 [171] 1.702122e-01 2.827675e-01 1.958893e-01 8.155269e-02 8.117993e-02 [176] 3.514155e-01 7.450705e-01 4.157864e-01 1.873635e-01 6.679505e-02 [181] 4.930105e-01 1.423341e+00 1.640784e-01 6.664322e-01 1.127728e-01 [186] 5.954814e-01 2.995322e-01 5.472760e-02 2.797113e-01 6.388330e-02 [191] 2.094660e-02 2.280920e-01 1.101025e-02 1.506041e-02 3.770623e-01 [196] 1.432919e-01 4.507897e-01 6.443465e-02 7.986744e-01 1.778862e-01 [201] 1.431519e-01 4.992384e-01 2.856886e-01 6.022919e-02 4.055793e-01 [206] 1.947606e-01 5.243671e-01 6.320844e-02 1.660129e-01 4.357040e-01 [211] 2.353975e-01 2.503423e-01 8.127701e-02 1.827123e-01 7.871878e-01 [216] 1.929813e-01 1.634208e-01 2.504287e-01 1.214354e+00 1.119998e+00 [221] 1.060877e-01 9.287457e-02 9.992141e-02 1.583795e-01 1.029734e-01 [226] 1.923857e-01 3.892424e-01 1.171768e-01 4.760795e-01 2.000759e-01 [231] 2.729548e-01 1.667637e-01 3.501799e-01 2.061044e-02 3.921211e-01 [236] 1.584402e-01 2.078710e-01 5.808487e-01 4.555045e-01 3.608282e-01 [241] 3.428690e-01 4.513415e-02 2.231013e-01 1.579197e-01 1.801455e-01 [246] 1.097405e-02 7.802541e-02 5.744157e-01 2.401191e-01 2.251753e-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/36s811227974725.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/1uldw1227974725.ps tmp/1uldw1227974725.png") > system("convert tmp/2ojh91227974725.ps tmp/2ojh91227974725.png") > system("convert tmp/36s811227974725.ps tmp/36s811227974725.png") > > > proc.time() user system elapsed 0.807 0.587 0.941