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/143dk1228056767.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 -4 -5 -4 -5 -4 -5 -6 -7 -8 -7 -6 -5 [19] -4 -5 -4 -3 -2 -3 -4 -5 -6 -5 -4 -5 -4 -5 -6 -7 -8 -9 [37] -10 -11 -10 -11 -10 -11 -12 -11 -12 -11 -12 -11 -12 -13 -12 -13 -14 -15 [55] -16 -15 -14 -13 -14 -15 -14 -13 -12 -13 -14 -13 -14 -15 -14 -15 -16 -17 [73] -16 -15 -14 -13 -14 -15 -16 -17 -18 -19 -20 -21 -20 -21 -22 -21 -20 -19 [91] -20 -19 -18 -19 -18 -17 -18 -17 -18 -19 -18 -19 -20 -21 -22 -23 -22 -23 [109] -24 -23 -22 -21 -22 -21 -22 -23 -24 -25 -26 -25 -26 -27 -28 -27 -28 -27 [127] -28 -29 -30 -29 -28 -27 -26 -27 -26 -25 -26 -27 -26 -25 -26 -25 -24 -23 [145] -22 -21 -22 -21 -22 -23 -22 -21 -20 -21 -22 -23 -22 -23 -24 -23 -24 -25 [163] -26 -25 -26 -27 -26 -27 -28 -27 -28 -27 -26 -25 -24 -25 -26 -27 -26 -27 [181] -26 -25 -26 -27 -26 -25 -24 -25 -26 -25 -26 -27 -28 -29 -30 -31 -30 -29 [199] -28 -29 -30 -31 -32 -33 -34 -33 -32 -33 -32 -33 -34 -33 -32 -31 -30 -31 [217] -30 -29 -28 -27 -28 -27 -26 -25 -26 -27 -28 -29 -28 -29 -30 -31 -30 -31 [235] -32 -33 -32 -31 -30 -29 -30 -29 -28 -29 -28 -27 -28 -27 -28 -27 -28 -29 [253] -30 -29 -30 -29 -30 -31 -32 -33 -34 -35 -36 -37 -38 -37 -36 -37 -36 -35 [271] -36 -37 -38 -39 -40 -39 -40 -39 -38 -37 -36 -35 -36 -37 -38 -37 -36 -35 [289] -36 -35 -34 -33 -32 -31 -32 -31 -32 -33 -32 -31 -32 -33 -34 -35 -34 -35 [307] -36 -35 -34 -33 -32 -31 -30 -29 -30 -29 -30 -31 -32 -33 -32 -33 -32 -31 [325] -30 -29 -28 -27 -28 -29 -28 -27 -28 -29 -30 -29 -28 -27 -28 -27 -28 -27 [343] -26 -25 -26 -27 -28 -27 -28 -29 -28 -27 -26 -25 -26 -25 -26 -25 -26 -25 [361] -26 -25 -26 -25 -24 -23 -24 -25 -24 -23 -22 -23 -22 -21 -22 -23 -24 -23 [379] -24 -23 -22 -21 -20 -19 -18 -17 -18 -19 -20 -21 -20 -21 -20 -19 -18 -19 [397] -20 -19 -20 -21 -22 -21 -22 -23 -22 -21 -20 -19 -20 -21 -20 -21 -22 -23 [415] -22 -21 -22 -21 -20 -19 -20 -21 -22 -23 -24 -23 -24 -25 -26 -25 -26 -25 [433] -24 -23 -22 -21 -22 -21 -22 -21 -22 -23 -22 -21 -22 -23 -22 -21 -20 -19 [451] -18 -17 -18 -17 -18 -17 -18 -19 -20 -21 -22 -21 -20 -19 -18 -17 -16 -17 [469] -18 -17 -16 -15 -14 -15 -14 -15 -16 -17 -18 -19 -20 -21 -20 -19 -20 -21 [487] -22 -21 -22 -21 -22 -21 -20 -19 -18 -19 -20 -19 -18 -17 > x <- b > postscript(file="/var/www/html/rcomp/tmp/20bcc1228056767.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] 8.190557e+03 3.656866e+02 7.195940e+02 6.714371e+01 2.896654e+02 [6] 1.051898e+02 4.631176e+02 5.454077e+01 3.673293e+01 3.059441e+01 [11] 4.746680e+01 8.666733e+00 1.344392e+02 6.279486e+01 3.584072e+01 [16] 2.911456e+01 1.119790e+01 1.197919e+01 2.684196e+00 3.453343e+01 [21] 1.229526e+01 1.460889e+01 9.559423e+00 5.784373e+00 1.265231e+01 [26] 2.135126e-02 1.810850e+00 4.841550e+01 5.092535e+00 6.117284e-01 [31] 6.891897e+00 3.096285e+01 5.698355e+00 4.418686e+00 5.531391e+00 [36] 4.036680e+01 1.894898e+00 2.804220e+00 5.838612e+00 1.046142e+00 [41] 2.610780e+00 7.497543e+00 8.369957e+00 1.716241e+01 2.780018e+00 [46] 5.198492e-01 5.357012e+00 9.213561e+00 1.147095e+00 1.181748e+00 [51] 1.407659e+00 2.276627e+00 2.050573e+00 3.948171e+00 5.454053e-01 [56] 1.073032e-01 1.915917e+00 7.875414e-01 2.951464e-01 1.850458e+00 [61] 1.512162e+00 3.274666e+00 5.445143e-01 3.036097e+00 4.477478e-02 [66] 2.154768e-01 8.982976e-01 3.195828e-01 2.492835e-01 3.941630e-01 [71] 2.409986e+00 6.834918e-01 1.895253e+00 6.527248e-01 1.412885e+00 [76] 1.290904e+00 1.056601e+00 8.934866e-01 2.941028e-01 3.020836e+00 [81] 8.271068e-01 1.858575e-02 6.134705e-01 2.669989e-01 2.954552e-01 [86] 2.071857e-01 4.254368e-01 3.725510e-01 4.364632e+00 2.889577e-01 [91] 9.128873e-01 1.306478e+00 2.966262e+00 5.594690e-02 1.759608e-01 [96] 1.522288e+00 1.685277e+00 1.028693e-01 8.973223e-02 9.597454e-02 [101] 4.599584e-02 8.585886e-01 1.753792e-01 2.195928e-01 4.894481e-01 [106] 3.186354e-01 1.219056e+00 6.158184e-01 1.011206e+00 9.333224e-01 [111] 7.067595e-01 4.528879e-01 2.997653e-01 3.780432e-01 2.944865e-01 [116] 1.246333e-01 6.869952e-01 1.336030e+00 1.766067e-01 2.000285e+00 [121] 4.111243e-01 2.670136e+00 3.817114e-01 2.643367e-01 1.642654e-01 [126] 2.754356e-02 9.437967e-01 8.690562e-01 8.832706e-03 7.960209e-01 [131] 2.292773e-01 3.250082e-01 4.862253e-01 3.918485e-01 1.722508e-01 [136] 1.335562e-01 2.065271e-01 1.390719e-01 4.867566e-01 3.918553e-02 [141] 1.045629e+00 3.710335e-02 7.375227e-01 1.210205e-01 1.443965e-01 [146] 4.090092e-02 8.149991e-01 1.167380e-01 4.640573e-01 2.175030e-01 [151] 2.107888e-01 4.109279e-01 1.239194e-03 7.806473e-03 1.842805e-01 [156] 1.389246e-01 3.976018e-01 4.823307e-01 7.086386e-01 6.353783e-01 [161] 3.123460e-01 3.529697e-01 8.097712e-02 5.396345e-01 7.323478e-01 [166] 6.642043e-01 1.031738e-01 1.740927e-02 3.377056e-01 2.141218e-01 [171] 2.018082e-02 3.452453e-01 1.230241e-01 3.521947e-01 5.745756e-02 [176] 1.184245e-01 1.137667e-01 1.706746e-02 3.994975e-01 5.465491e-01 [181] 4.819953e-01 1.717056e-01 2.613714e-02 1.028985e+00 2.023713e-01 [186] 2.248268e-01 1.736395e-01 1.769094e-01 1.946038e-02 4.083745e-01 [191] 2.983250e-01 1.098706e-01 6.088253e-02 8.879970e-02 9.495650e-02 [196] 2.142935e-01 1.378237e-02 2.089864e-01 4.331132e-01 2.915839e-01 [201] 2.403050e-01 1.265518e+00 3.540746e-01 2.507238e-02 5.391114e-02 [206] 5.920357e-01 1.292572e-01 4.192487e-02 1.112500e-02 2.010157e-01 [211] 3.109063e-01 3.414854e-02 1.459910e-01 1.039586e-02 7.102702e-02 [216] 5.023104e-02 4.890032e-02 6.415040e-01 1.613163e-01 1.469243e-01 [221] 1.768829e-02 5.808773e-01 6.376835e-02 3.102113e-01 1.638563e-01 [226] 4.516626e-01 4.766223e-01 7.239744e-02 6.418765e-01 2.619837e-02 [231] 4.389506e-01 6.739906e-02 3.350163e-01 1.087398e-01 3.465154e-01 [236] 3.000562e-02 9.404267e-02 1.894369e-01 5.907733e-02 9.941019e-02 [241] 2.799495e-02 1.470571e-01 1.777012e-01 3.585071e-01 4.564529e-01 [246] 5.200978e-02 3.765232e-01 1.864208e-01 4.208986e-01 1.631724e+00 $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/3v28j1228056767.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/143dk1228056767.ps tmp/143dk1228056767.png") > system("convert tmp/20bcc1228056767.ps tmp/20bcc1228056767.png") > system("convert tmp/3v28j1228056767.ps tmp/3v28j1228056767.png") > > > proc.time() user system elapsed 0.760 0.567 0.926