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/1g5421228172474.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 0 1 0 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -2 -1 -2 -1 -2 [26] -3 -2 -3 -2 -3 -2 -3 -2 -3 -2 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -4 -3 -4 -3 [51] -4 -3 -2 -1 -2 -3 -2 -1 0 1 0 -1 -2 -1 -2 -3 -4 -5 -6 -5 -6 -5 -6 -5 -4 [76] -3 -2 -1 0 -1 0 -1 -2 -1 0 1 2 3 4 3 4 5 4 5 4 3 4 3 4 5 [101] 6 5 4 5 4 5 4 5 6 5 6 5 6 7 6 7 8 7 8 9 8 7 6 5 6 [126] 7 6 7 6 5 4 5 4 3 2 1 0 -1 0 -1 0 -1 -2 -3 -4 -5 -6 -5 -6 -5 [151] -4 -3 -2 -3 -4 -3 -2 -1 -2 -1 0 -1 0 1 2 1 2 1 0 1 2 3 4 5 4 [176] 5 6 5 6 7 8 7 6 5 4 3 2 3 2 1 0 1 2 3 2 3 2 3 4 5 [201] 6 5 6 7 8 9 10 9 8 9 10 11 10 11 10 11 12 11 12 11 12 13 14 15 14 [226] 13 14 15 14 15 16 17 18 17 16 17 18 19 20 21 20 21 20 19 20 21 22 23 24 23 [251] 22 21 22 23 22 21 22 23 22 21 22 23 22 23 22 21 20 19 18 19 18 19 20 19 20 [276] 19 18 17 16 15 16 15 16 15 14 15 14 15 16 17 16 17 18 19 18 19 18 19 18 19 [301] 18 19 20 21 22 23 22 23 24 23 24 23 22 23 24 23 22 21 22 21 22 21 22 23 22 [326] 21 22 23 22 23 22 23 24 25 26 27 26 25 24 23 24 23 22 23 24 25 26 25 24 25 [351] 26 25 26 25 24 23 22 21 22 21 22 23 24 25 26 27 26 25 24 25 26 25 24 25 26 [376] 25 24 23 24 23 22 23 22 23 24 23 22 21 20 21 22 23 24 25 26 25 26 27 26 27 [401] 26 27 28 27 28 27 26 27 28 29 30 29 30 31 30 31 32 31 32 33 34 35 36 37 36 [426] 37 36 35 36 37 38 37 38 39 40 41 40 41 42 41 40 39 38 37 38 37 36 35 34 35 [451] 36 35 34 33 34 35 34 35 34 35 34 33 32 31 32 33 32 31 32 33 34 35 36 35 36 [476] 35 34 33 32 31 32 31 32 33 32 33 32 33 32 31 30 29 30 31 30 31 32 31 32 33 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2u8uz1228172474.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] 3.790618e+02 5.008707e+02 1.113885e+03 2.492269e+02 7.271016e+02 [6] 4.117471e+02 9.861113e+01 3.318195e+02 1.059400e+01 2.405326e+01 [11] 9.335901e+01 6.489117e+01 4.541943e+01 1.990091e+01 1.444193e+01 [16] 6.648737e+01 6.346525e+00 8.837709e+00 4.777090e+00 5.025129e+00 [21] 1.879007e+01 1.149907e+00 1.066246e+01 1.589261e+01 1.116891e+01 [26] 3.642758e+00 5.179391e+00 1.489199e+01 1.023529e+01 1.593738e+00 [31] 1.845209e-01 1.201601e+00 1.621426e+01 1.224528e+01 8.745265e+00 [36] 1.690147e+00 2.111496e+00 4.589663e+00 5.263773e+00 3.693123e+00 [41] 6.348888e+00 1.254970e+00 5.401347e-01 1.932170e-01 9.425301e-01 [46] 4.274117e+00 2.918017e+00 4.846375e-01 6.708208e+00 5.066560e+00 [51] 3.735210e+00 1.833476e+00 3.151906e+00 1.881256e+00 4.784817e-01 [56] 9.641168e-01 1.024296e+00 2.604707e+00 1.898333e+00 4.209981e-01 [61] 4.471643e+00 6.177834e+00 2.106110e-01 1.513915e-01 8.590790e-02 [66] 2.161901e+00 5.106624e-01 1.356053e+00 3.668178e-01 1.613283e+00 [71] 1.161244e+00 1.178236e-01 3.456664e-01 2.944422e+00 1.614478e+00 [76] 7.437017e-01 1.927083e+00 7.133502e-01 4.709663e-01 6.884162e-01 [81] 1.295187e+00 1.450010e+00 6.922880e-01 2.186318e-02 2.742513e+00 [86] 1.830914e+00 4.295479e-01 5.686777e-01 7.787746e-01 7.082830e-01 [91] 6.662508e-02 2.332516e+00 9.011538e-02 5.586368e-01 6.764213e-02 [96] 1.787223e+00 5.927003e-01 2.008134e+00 2.034079e+00 6.850090e-01 [101] 1.299891e+00 2.659706e-02 3.923047e-02 3.902865e-03 4.883991e-01 [106] 1.038088e+00 4.156002e-01 4.917342e-01 7.654283e-02 5.706456e-02 [111] 3.075289e-02 1.817459e-01 2.671256e-01 8.146890e-01 1.028662e+00 [116] 6.285859e-01 6.376435e-01 9.085288e-01 5.436940e-01 1.389442e-01 [121] 1.405272e-01 6.628425e-02 5.286684e-03 1.832188e+00 1.907384e-01 [126] 1.306309e+00 4.137439e-02 1.042187e+00 6.272812e-01 4.228309e-01 [131] 9.224828e-02 2.246938e-01 5.527788e-02 4.727396e-02 1.496993e-01 [136] 3.514889e-02 1.869488e-01 2.190858e-01 6.437448e-01 3.424657e-01 [141] 8.869385e-02 3.934047e-01 1.658997e-01 2.135812e-01 8.511620e-02 [146] 3.190052e-01 2.284367e-01 2.048788e-02 1.476065e-01 2.153193e-01 [151] 1.632293e-01 3.325426e-01 1.878925e-01 3.731257e-03 1.103208e-01 [156] 9.173602e-01 2.473998e-01 1.495690e+00 8.884379e-01 6.654677e-01 [161] 1.050152e-01 1.122440e-01 1.508883e-01 2.739282e-01 4.684805e-01 [166] 3.850069e-01 6.724209e-01 5.238218e-01 2.112128e-01 6.904031e-02 [171] 2.286862e-01 9.735159e-01 1.613184e-01 1.682176e-01 5.072420e-01 [176] 1.680040e-01 5.479579e-01 3.097657e-02 2.105586e-02 1.759412e+00 [181] 1.301635e-01 2.038233e-01 9.543483e-01 3.775039e-02 2.635897e-01 [186] 7.197000e-02 1.015061e-01 3.049968e-01 1.785977e-01 5.237415e-01 [191] 7.082154e-01 3.686921e-01 3.868111e-01 1.159283e-01 2.346241e-01 [196] 7.799302e-01 2.466340e-01 2.976476e-02 4.614087e-02 1.956700e-01 [201] 2.732529e-01 2.872701e-01 6.102025e-01 1.667383e-01 6.761327e-01 [206] 9.016266e-01 7.808775e-02 6.472118e-03 2.142345e-01 2.974842e-01 [211] 8.145594e-03 6.622995e-01 5.789703e-01 7.351809e-01 1.912977e-01 [216] 4.040471e-02 6.468632e-02 4.444432e-01 5.198958e-02 2.125129e-02 [221] 5.741696e-01 8.892779e-02 1.164090e-01 4.722141e-01 3.823419e-01 [226] 3.086720e-01 4.170571e-01 1.372874e-01 1.058787e-01 5.118211e-02 [231] 2.607121e-02 7.022899e-01 2.435346e-01 3.234026e-01 6.415531e-01 [236] 3.438048e-01 3.570651e-01 1.892584e-01 3.266935e-01 1.716304e-01 [241] 1.703412e-01 1.343838e-01 5.834161e-02 2.415573e-01 5.586172e-02 [246] 1.349915e-01 6.681296e-02 7.111286e-02 1.007134e-01 1.651733e-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/3f4ks1228172474.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/1g5421228172474.ps tmp/1g5421228172474.png") > system("convert tmp/2u8uz1228172474.ps tmp/2u8uz1228172474.png") > system("convert tmp/3f4ks1228172474.ps tmp/3f4ks1228172474.png") > > > proc.time() user system elapsed 0.762 0.561 1.011