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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/18g351227873947.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 6 7 6 5 6 7 6 5 6 5 4 5 4 5 4 3 2 [26] 1 2 3 2 1 0 -1 0 1 0 1 0 -1 0 1 0 1 0 -1 0 -1 0 1 0 1 [51] 2 3 4 5 4 3 4 3 4 3 2 1 0 1 0 -1 -2 -3 -2 -3 -2 -3 -2 -1 0 [76] -1 0 1 0 1 2 1 2 1 0 1 0 -1 -2 -1 -2 -3 -2 -3 -4 -3 -4 -3 -4 -5 [101] -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 -8 -7 -8 -7 -6 -5 -6 -7 -6 -5 -4 -3 -2 -3 -2 [126] -3 -2 -1 -2 -1 -2 -1 -2 -3 -4 -3 -2 -1 -2 -1 -2 -3 -4 -3 -4 -5 -6 -5 -4 -3 [151] -2 -3 -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 -4 -3 -2 -1 0 1 0 1 2 1 2 1 0 [176] -1 0 1 0 -1 -2 -3 -2 -1 -2 -3 -2 -3 -2 -3 -4 -5 -4 -3 -2 -3 -2 -1 -2 -1 [201] -2 -3 -2 -1 -2 -1 -2 -1 0 1 0 -1 0 -1 -2 -1 0 -1 0 -1 -2 -1 0 1 0 [226] -1 -2 -3 -4 -3 -2 -3 -2 -1 0 1 2 3 2 3 4 5 4 5 4 3 4 3 4 5 [251] 6 7 6 7 8 9 8 9 10 9 10 9 10 11 12 13 14 15 16 15 16 17 16 17 16 [276] 17 18 17 16 15 14 15 14 13 12 13 12 11 10 11 10 11 12 11 10 11 12 11 12 11 [301] 10 11 10 11 10 9 8 7 8 7 8 7 8 7 6 7 8 7 6 7 8 9 8 7 6 [326] 5 4 5 6 7 8 7 8 7 6 5 6 5 6 5 6 5 4 3 4 3 4 5 4 5 [351] 6 7 8 7 6 7 8 9 10 11 12 13 14 13 14 13 12 13 12 11 10 11 12 13 12 [376] 11 10 9 8 7 8 9 8 7 6 7 6 7 6 7 6 5 4 5 6 7 6 7 6 5 [401] 6 7 8 9 8 9 8 9 8 7 8 9 10 11 10 11 10 9 10 9 10 11 10 11 10 [426] 11 12 13 12 13 12 11 12 13 14 13 14 15 16 17 18 19 18 19 20 21 22 21 22 23 [451] 22 21 22 21 20 21 22 23 22 21 22 21 22 21 20 21 22 23 22 23 24 23 24 25 26 [476] 27 26 27 28 29 30 29 30 29 30 31 30 31 32 31 32 33 32 31 32 33 32 33 34 33 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2tsmy1227873947.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] 5.975480e+02 2.159825e+03 4.179346e+02 1.566478e+02 9.418378e+02 [6] 3.234395e+02 1.103444e+01 1.191778e+01 1.419939e+01 7.335729e+01 [11] 1.007181e+02 1.373426e+01 1.223516e+02 5.221518e+01 8.730948e+00 [16] 4.277382e+01 1.173459e+01 2.615005e+01 6.064267e+00 1.168527e+01 [21] 2.244560e+01 1.391560e+01 2.133535e+01 5.236440e-01 8.704785e+00 [26] 1.704252e+00 3.829904e+00 9.524750e-01 3.734514e+00 6.698678e+00 [31] 8.802974e+00 1.735024e+00 2.863234e+00 4.665323e+00 1.931864e+00 [36] 7.544043e+00 5.951269e+00 9.928380e-02 1.770440e+00 1.974063e+00 [41] 5.258267e-01 4.037478e+00 1.566088e+00 1.854982e+00 2.823452e+00 [46] 1.979116e+00 8.223808e+00 3.960365e+00 7.238461e-01 7.153658e-01 [51] 2.837352e-01 2.712405e+00 2.369607e+00 1.194259e-02 7.117800e+00 [56] 2.022190e+00 1.705698e-02 2.662246e+00 1.790623e-01 8.881376e-01 [61] 9.540831e-01 3.361933e+00 4.358365e-01 1.012875e+00 2.191097e+00 [66] 8.254057e-01 2.736562e+00 4.123935e-01 2.014473e+00 9.791025e-01 [71] 2.022557e-02 7.598252e-01 6.536313e-01 1.555683e+00 4.194116e-01 [76] 4.356327e+00 4.170670e-02 1.125960e-01 1.108308e+00 1.490909e+00 [81] 6.075331e-01 1.434602e+00 2.826670e-01 7.617352e-01 9.953418e-01 [86] 1.336854e+00 2.715847e+00 1.704291e+00 2.145476e+00 1.074260e-01 [91] 1.511860e+00 8.246639e-01 3.199134e-01 4.216562e-01 1.734583e-01 [96] 7.977018e-01 1.441442e+00 5.466596e-01 5.667764e-01 6.224453e-01 [101] 9.369913e-01 2.277217e-01 5.479040e-01 2.197813e-01 1.032709e-01 [106] 2.593001e-01 2.085107e-01 3.674432e-01 4.578561e-02 3.435715e-01 [111] 8.936269e-01 5.111689e-02 3.754515e-01 8.601162e-01 3.442811e-01 [116] 6.669617e-01 3.004794e-01 1.414495e+00 3.607183e-03 2.095138e-01 [121] 6.219749e-01 3.788530e-01 5.379752e-01 6.070182e-01 6.958131e-01 [126] 5.280837e-02 3.393077e-01 5.859866e-01 6.102067e-01 3.452980e-01 [131] 1.901733e-01 1.916653e-01 1.998874e-01 2.915087e-02 9.940281e-01 [136] 1.170241e-01 7.092856e-02 8.434123e-01 3.502223e-01 2.637467e-01 [141] 1.311547e-01 6.030784e-02 5.786263e-01 7.374386e-01 3.144850e-01 [146] 1.043820e+00 4.296598e-01 1.155126e-01 6.127217e-02 6.964453e-01 [151] 3.462428e-01 4.752443e-01 8.760617e-03 5.637431e-01 1.625612e-01 [156] 1.667783e-01 3.226983e-01 6.755600e-01 3.085083e-01 2.971600e-01 [161] 1.224718e-02 1.809811e-01 2.836826e-01 9.082842e-02 8.211374e-01 [166] 3.821047e-01 1.292425e+00 1.095438e-01 1.609384e-01 8.107475e-01 [171] 1.504616e-01 6.862939e-01 9.314551e-02 4.907646e-02 1.362064e+00 [176] 6.093701e-02 6.703906e-01 1.720440e-01 2.315710e-01 5.875679e-01 [181] 1.587605e-01 4.204054e-01 1.649402e+00 5.075815e-01 1.990221e-01 [186] 2.955532e-02 7.456015e-01 1.250612e-01 3.173642e-01 3.163551e-01 [191] 3.507378e-01 7.012291e-01 1.339159e-01 3.830661e-01 4.167759e-01 [196] 2.503554e-01 3.862917e-01 4.653762e-01 2.130087e-02 1.825750e-01 [201] 4.362754e-01 1.459690e-01 1.758440e-01 3.843287e-01 1.064364e-01 [206] 3.465733e-01 4.028770e-04 6.456201e-01 6.770378e-02 5.196907e-01 [211] 8.602562e-02 4.741198e-02 1.001257e+00 1.270612e-01 1.135059e-01 [216] 8.618601e-02 3.869267e-02 1.265138e+00 5.993440e-01 1.163368e-01 [221] 7.989877e-01 7.551623e-03 2.623675e-01 7.275304e-02 1.983424e-01 [226] 4.689020e-01 1.246624e-02 1.803224e-01 8.263202e-01 4.581792e-02 [231] 1.902559e-01 3.761369e-02 1.054347e-01 2.769429e-01 1.514064e-02 [236] 4.382441e-01 6.595587e-01 3.794659e-02 8.592396e-02 1.271288e-01 [241] 1.456103e-01 1.984106e-01 7.968818e-02 2.083098e-01 2.352778e-01 [246] 1.090479e+00 3.067066e-01 2.725506e-01 1.301366e-03 3.312810e-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/31ojb1227873947.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/18g351227873947.ps tmp/18g351227873947.png") > system("convert tmp/2tsmy1227873947.ps tmp/2tsmy1227873947.png") > system("convert tmp/31ojb1227873947.ps tmp/31ojb1227873947.png") > > > proc.time() user system elapsed 0.831 0.598 1.121