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/freestat/rcomp/tmp/13ih21227638436.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 0 -1 0 -1 0 1 0 1 2 3 2 3 4 3 2 3 4 5 4 [26] 5 6 5 6 7 8 9 10 11 12 13 12 11 12 11 10 9 8 9 8 7 6 5 6 7 [51] 6 7 8 7 6 7 6 5 4 3 4 3 4 5 4 3 2 1 0 -1 -2 -1 0 -1 0 [76] -1 0 1 2 3 4 3 2 3 2 3 2 1 0 1 0 1 2 1 2 1 0 -1 -2 -3 [101] -4 -3 -2 -3 -4 -3 -2 -1 0 -1 0 -1 -2 -3 -4 -5 -6 -7 -6 -5 -6 -7 -6 -5 -6 [126] -7 -6 -7 -6 -5 -4 -5 -4 -3 -2 -1 -2 -1 0 1 2 3 4 5 4 5 4 3 4 5 [151] 4 3 2 1 0 -1 0 -1 0 -1 0 -1 0 -1 0 1 2 1 2 1 2 3 4 3 2 [176] 3 4 5 6 5 4 3 2 1 2 3 2 3 2 1 2 3 4 5 4 5 4 3 4 5 [201] 6 7 8 9 10 11 12 13 14 13 14 13 12 11 10 11 12 11 10 9 10 9 8 7 6 [226] 7 6 7 8 9 8 7 6 7 6 5 6 7 8 9 10 11 12 13 14 13 12 13 12 13 [251] 12 11 10 9 8 9 8 9 10 11 12 13 12 11 10 11 10 9 10 11 10 11 12 13 14 [276] 13 14 15 16 17 18 19 20 19 20 19 18 17 18 17 16 15 16 17 16 15 16 15 14 13 [301] 14 15 16 15 14 15 16 15 16 15 16 17 18 17 16 17 16 17 16 15 14 15 14 13 12 [326] 11 10 11 10 11 12 11 12 13 12 11 10 9 10 9 10 9 10 9 8 9 8 7 6 5 [351] 4 5 4 5 4 3 4 3 4 5 6 5 4 3 4 5 4 3 4 5 6 5 6 7 6 [376] 7 6 5 4 5 6 5 4 5 6 7 6 5 6 5 4 5 4 3 4 3 2 1 2 1 [401] 0 1 2 3 2 3 4 3 2 1 2 3 4 5 4 5 4 5 6 5 6 5 6 7 6 [426] 5 4 5 6 7 6 5 6 7 6 7 6 7 6 7 8 9 10 11 10 11 12 13 12 11 [451] 10 11 10 9 8 9 10 11 12 13 14 13 12 13 14 13 12 11 10 9 8 7 6 5 4 [476] 5 4 3 4 5 6 7 8 9 8 9 10 9 10 11 10 9 8 9 8 9 8 9 8 7 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2gf8g1227638436.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] 1.158816e+03 3.641219e+03 4.619969e+01 5.982522e+02 1.819486e+01 [6] 1.989249e+02 5.958328e+01 7.949484e+01 1.562831e+02 7.635669e+01 [11] 2.467770e+01 8.055326e+01 1.386285e+01 1.582547e+02 1.506519e+02 [16] 3.701275e+01 1.254101e+01 3.746091e+01 6.437873e-02 4.280952e+01 [21] 1.093482e+01 1.803576e+01 1.776436e+00 3.971009e-02 1.080933e+01 [26] 5.157062e+00 3.440896e+01 1.358739e+01 7.345638e+00 1.844139e+01 [31] 5.098294e+00 8.090073e-01 4.061212e+00 1.773306e+01 1.019590e+01 [36] 1.720655e+01 5.214727e+00 3.506722e-02 4.635481e+00 5.578275e+00 [41] 5.912422e-04 1.050180e+00 2.745680e+00 2.414179e-02 2.469757e+00 [46] 4.325572e+00 3.224923e-01 6.650669e+00 4.043700e+00 5.202791e+00 [51] 8.464771e-01 2.486739e+00 1.712296e+00 1.124250e+00 2.209720e+00 [56] 2.992319e-01 1.881109e+00 2.235105e-02 1.745408e+00 1.211951e+00 [61] 8.097532e-01 4.233730e-01 1.746720e-01 8.070597e-01 9.739057e-01 [66] 2.650880e+00 1.191105e-01 1.454795e+00 3.357542e+00 4.277996e+00 [71] 8.819499e-01 7.590860e-01 2.476675e-01 2.600453e-01 3.801910e-01 [76] 7.433188e-01 9.384358e-01 7.912485e-01 1.563831e-03 1.050595e+00 [81] 1.650461e-01 3.493735e-01 1.732586e-01 1.462658e+00 3.166532e-01 [86] 1.586453e+00 1.336438e+00 1.599324e+00 1.083747e+00 1.831701e+00 [91] 1.216223e+00 3.810144e-01 8.652878e-01 6.752835e-01 2.782195e+00 [96] 9.638782e-01 1.274150e-01 1.790764e-01 1.238263e-01 7.388776e-02 [101] 9.403872e-02 1.341526e-02 1.600792e+00 3.670317e+00 2.504131e-02 [106] 3.786335e-01 3.081655e-01 1.059986e-01 2.704422e-01 2.552584e+00 [111] 1.078156e+00 1.099410e-01 1.409943e+00 1.278431e-01 7.316939e-01 [116] 1.066484e-01 1.860161e-02 1.249317e+00 4.880148e-01 1.057259e+00 [121] 3.123578e-01 2.488416e-01 9.220737e-01 9.245541e-01 2.883049e-01 [126] 1.469129e+00 1.556502e-03 3.956187e-01 6.180778e-01 1.201012e+00 [131] 3.274773e-01 1.235541e+00 8.066220e-01 3.005626e-01 7.079514e-02 [136] 7.185539e-01 4.543908e-02 3.672017e-01 3.659613e-02 1.816638e-01 [141] 9.496597e-02 2.797776e-01 5.659256e-01 1.283830e-01 2.059576e-01 [146] 1.835221e-01 6.908834e-03 2.405688e-01 6.305192e-03 1.168162e+00 [151] 1.527820e-01 9.515918e-02 7.333321e-02 3.795748e-01 4.318198e-01 [156] 2.360955e-02 2.835208e-01 1.729923e-02 2.060881e-01 1.172718e-01 [161] 3.104048e-01 6.793907e-01 1.085565e-02 9.069915e-01 6.718179e-02 [166] 1.876043e-01 2.750043e-03 3.702216e-01 3.746859e-01 3.569651e-03 [171] 4.122816e-01 3.381460e-01 6.829673e-02 5.663096e-01 1.662949e-01 [176] 6.945406e-01 3.353865e-01 3.922901e-01 6.900010e-02 4.561475e-01 [181] 1.414212e-01 4.388418e-01 6.339606e-01 3.855156e-01 4.583896e-02 [186] 1.595845e-01 1.320795e+00 2.183864e-01 4.105940e-01 6.056181e-03 [191] 5.301378e-02 8.386927e-02 5.630570e-02 1.494603e-01 1.298637e-01 [196] 4.105805e-02 1.748360e-01 2.078846e-01 8.313695e-02 1.521908e+00 [201] 7.035995e-03 3.038315e-01 1.805053e-01 4.021018e-01 2.657645e-01 [206] 1.544379e-01 8.619187e-02 4.843475e-01 1.669341e-01 4.318500e-01 [211] 9.827046e-02 1.931596e-01 9.122737e-02 1.058620e-01 5.910366e-02 [216] 9.976676e-02 5.856873e-02 1.634675e-01 1.415638e-01 5.259335e-01 [221] 1.796747e-01 3.262409e-01 1.373226e-01 6.069107e-02 1.247905e-01 [226] 1.527469e-01 6.641054e-02 3.204216e-02 5.050647e-02 2.037618e-01 [231] 4.054299e-01 2.579553e-02 9.988365e-01 1.214553e-01 3.417577e-01 [236] 1.183869e-01 2.960187e-02 3.627614e-01 4.599493e-01 3.016755e-01 [241] 3.504841e-01 7.821333e-01 9.161640e-02 9.085821e-02 3.464070e-01 [246] 1.436836e-01 3.464334e-01 2.418812e-01 2.571904e-01 1.317053e-04 $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/freestat/rcomp/tmp/3ke101227638436.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/13ih21227638436.ps tmp/13ih21227638436.png") > system("convert tmp/2gf8g1227638436.ps tmp/2gf8g1227638436.png") > system("convert tmp/3ke101227638436.ps tmp/3ke101227638436.png") > > > proc.time() user system elapsed 1.064 0.739 1.202