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/1yywj1228217846.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 -4 -3 -2 -3 -4 -3 -4 -5 -6 -5 -6 -7 -6 -7 -6 -7 -6 -7 -8 -7 -6 [26] -7 -6 -5 -4 -5 -4 -3 -2 -1 0 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -2 -1 [51] 0 -1 -2 -1 0 -1 0 -1 -2 -1 -2 -1 -2 -1 -2 -3 -2 -1 0 -1 0 1 0 -1 -2 [76] -1 0 -1 0 1 0 1 2 3 2 3 2 3 4 5 6 5 6 7 6 5 4 5 6 5 [101] 6 5 4 5 4 3 2 3 2 3 4 5 6 7 8 7 8 7 8 9 8 7 6 5 4 [126] 3 2 1 0 -1 0 1 0 1 2 3 2 3 4 5 6 5 6 7 6 7 6 7 8 7 [151] 6 5 6 5 4 3 4 3 4 5 6 5 4 3 2 3 2 3 4 5 6 7 6 5 4 [176] 5 6 7 6 5 4 3 4 3 4 5 4 5 4 5 4 5 4 5 6 5 6 7 8 9 [201] 8 9 8 9 8 7 8 7 6 7 8 7 8 9 8 7 8 9 10 11 10 11 10 9 8 [226] 9 10 11 12 13 14 13 12 13 14 13 12 13 14 13 12 11 10 9 8 9 10 9 8 7 [251] 6 7 6 5 6 5 4 5 4 3 4 3 4 5 6 7 8 7 8 7 8 9 8 7 8 [276] 9 10 11 12 11 10 11 10 11 10 11 12 11 10 11 12 13 12 13 14 15 14 13 14 13 [301] 12 13 12 13 14 15 16 17 16 15 14 15 16 17 16 15 14 15 16 15 16 15 14 15 14 [326] 13 12 13 14 15 14 15 16 17 18 17 18 17 16 15 14 15 16 15 16 15 14 15 16 17 [351] 16 15 14 15 16 17 16 15 16 15 16 17 16 15 14 13 12 11 12 13 14 13 12 13 14 [376] 13 12 11 10 11 10 11 10 11 12 11 12 13 12 11 12 13 14 13 12 11 10 9 8 7 [401] 8 9 8 7 6 7 8 7 8 9 8 7 8 9 8 9 8 9 8 7 8 9 10 11 10 [426] 9 10 9 8 7 8 7 8 7 8 9 10 9 8 9 8 9 10 11 10 9 10 11 12 13 [451] 12 11 10 9 8 7 6 5 4 3 4 3 4 5 4 3 2 1 0 -1 -2 -3 -2 -3 -2 [476] -3 -2 -3 -4 -5 -6 -5 -4 -3 -4 -5 -6 -5 -4 -5 -6 -7 -8 -7 -6 -5 -6 -7 -8 -7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2bgkm1228217846.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] 2.516147e+03 4.905590e+02 9.371104e+01 2.031158e+02 2.723315e+02 [6] 9.064854e+00 2.700594e+02 3.260214e+01 8.214011e+01 8.691989e+01 [11] 1.502428e+01 3.550726e+01 2.253082e+01 1.696646e+01 1.277781e+01 [16] 4.243667e+01 4.700082e+01 8.283445e+01 1.110540e+01 2.251950e+01 [21] 7.014570e+00 8.962845e-01 2.041080e+01 7.060076e+00 1.605184e+01 [26] 1.191752e+01 1.933360e+00 1.013569e+01 2.706750e+00 5.273736e+00 [31] 4.139268e+00 2.506860e+00 4.252226e+00 8.940440e+00 7.731418e+00 [36] 1.704149e+00 3.980307e+00 1.844431e+01 4.607425e+00 2.283815e+00 [41] 5.043949e-01 5.429349e-01 4.522272e+00 3.913803e-02 5.417167e-01 [46] 1.745409e+00 2.597590e+00 1.991611e+00 8.961064e-01 1.924115e+00 [51] 1.437778e+01 4.632963e+00 1.459586e+00 1.730577e-01 1.237138e+00 [56] 1.883017e+00 5.405374e-01 2.045526e+00 5.611467e+00 7.353163e-01 [61] 2.470518e+00 4.841884e-01 9.560381e-01 9.314490e-01 7.545869e-01 [66] 7.459943e-01 7.581983e-01 1.486346e+00 2.094404e+00 1.019528e+01 [71] 1.169724e+00 7.194303e-01 8.996694e-01 4.256073e+00 8.671640e-01 [76] 3.252297e+00 1.444737e-01 8.121809e-01 1.252764e+00 2.049735e-01 [81] 2.194267e+00 1.667026e+00 6.476480e-01 6.244057e-01 1.876218e+00 [86] 3.313538e-01 1.613072e-01 6.589417e-01 9.498531e-01 2.882183e-01 [91] 2.929440e-01 7.253583e-01 1.081048e-02 5.439037e-01 1.362741e+00 [96] 4.114121e+00 7.474867e-01 5.410404e-01 2.471144e-01 4.128043e-01 [101] 2.183299e-03 3.706231e-01 1.911487e-01 1.561203e-01 1.583396e-01 [106] 6.429277e-01 5.764387e-01 3.149448e-01 8.567545e-01 9.019577e-02 [111] 1.057036e+00 4.210334e-02 4.714783e-01 1.762806e+00 1.292273e-01 [116] 7.713015e-02 3.460842e+00 5.931349e-01 9.401257e-01 3.170284e-01 [121] 3.554325e-01 2.265030e+00 7.866170e-01 2.178332e-01 6.918244e-01 [126] 1.288880e+00 1.249590e-01 6.180891e-03 4.744391e-02 2.363771e-01 [131] 4.752606e-01 1.255860e-01 1.623000e-01 3.653691e-01 1.112733e+00 [136] 8.468403e-01 2.064928e-01 6.427332e-01 2.937092e-01 2.163500e-01 [141] 3.531178e-01 7.410436e-02 3.954355e-01 1.648994e-01 1.717146e-01 [146] 4.751126e-01 9.811703e-03 5.799501e-01 3.102996e-01 3.346590e-01 [151] 2.529243e-01 4.285130e-01 3.803351e-01 1.328450e-01 1.480850e-01 [156] 3.934578e-01 3.831987e-01 2.852122e-01 6.306321e-01 1.837871e-01 [161] 5.710915e-01 3.636554e-02 7.605312e-02 4.111478e-01 1.278919e-01 [166] 4.827130e-01 4.966318e-01 1.853090e-01 2.932633e-01 2.649960e-01 [171] 4.079039e-01 1.613943e-01 3.780922e-01 1.024214e+00 3.489369e-02 [176] 1.847249e-01 1.184671e-01 6.606837e-01 7.268031e-02 6.831306e-01 [181] 1.543700e-01 4.797487e-01 8.545851e-02 1.816302e-01 3.857045e-01 [186] 2.741355e-01 6.915118e-02 5.149240e-01 7.943057e-01 1.206353e-01 [191] 2.944046e-01 3.139715e-01 8.470086e-04 1.789830e-01 7.863779e-03 [196] 2.904065e-01 6.466297e-02 1.499663e-01 1.001224e-01 5.645011e-01 [201] 4.282154e-02 6.601615e-01 5.535502e-01 2.826846e-02 2.239858e-02 [206] 7.389939e-01 6.925734e-01 2.924176e-01 4.276411e-01 1.218453e-01 [211] 7.594416e-01 3.146182e-01 1.542069e-01 6.267336e-01 6.770544e-02 [216] 3.376940e-01 1.686759e-02 1.901164e-01 1.844656e-01 9.228047e-03 [221] 4.675095e-02 4.359453e-01 7.265402e-02 3.089188e-02 4.593251e-01 [226] 4.159417e-01 4.970226e-02 6.938142e-01 1.350055e-01 9.747052e-03 [231] 1.895648e-01 6.887519e-01 1.473822e-01 5.391353e-01 1.987629e-01 [236] 1.470464e-01 2.189497e-01 4.199011e-02 1.336483e-01 7.696857e-02 [241] 1.923061e-01 1.021295e-01 6.946705e-02 3.973844e-02 4.344237e-01 [246] 2.065802e-01 1.400055e-03 4.601138e-02 2.503875e-01 8.357763e-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/33zyl1228217846.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/1yywj1228217846.ps tmp/1yywj1228217846.png") > system("convert tmp/2bgkm1228217846.ps tmp/2bgkm1228217846.png") > system("convert tmp/33zyl1228217846.ps tmp/33zyl1228217846.png") > > > proc.time() user system elapsed 0.794 0.606 0.974