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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/1plqm1228165037.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 2 3 4 3 4 5 6 7 6 5 6 5 6 5 6 5 6 5 6 5 6 [26] 5 6 7 8 9 10 9 8 9 10 11 12 11 12 11 12 11 10 11 12 11 12 11 12 13 [51] 14 13 14 15 16 15 14 13 12 11 10 9 10 11 10 9 8 9 8 7 6 5 4 3 4 [76] 5 4 5 4 3 4 3 4 3 4 3 4 3 4 3 4 5 4 3 4 5 6 7 6 5 [101] 6 7 6 7 6 5 6 7 6 5 4 5 4 3 4 3 4 5 4 3 2 1 0 -1 0 [126] 1 2 1 2 3 2 3 4 3 4 3 4 5 6 5 4 3 2 1 2 1 0 -1 -2 -3 [151] -2 -1 0 1 2 1 2 1 0 -1 0 1 0 -1 -2 -1 -2 -1 0 1 0 -1 -2 -3 -4 [176] -3 -2 -1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 0 -1 0 1 0 1 2 3 2 1 0 -1 [201] 0 1 0 1 0 -1 -2 -1 0 1 2 3 2 1 2 1 2 1 0 1 2 1 0 -1 -2 [226] -3 -4 -5 -6 -5 -4 -5 -4 -5 -4 -5 -6 -7 -8 -9 -8 -7 -6 -5 -6 -7 -6 -7 -6 -5 [251] -4 -5 -4 -3 -2 -1 0 -1 0 1 0 1 0 -1 -2 -1 0 1 2 1 2 1 2 1 2 [276] 3 4 3 4 3 4 5 4 3 2 1 2 1 2 3 2 1 2 1 2 3 4 3 4 3 [301] 2 1 0 1 2 3 4 3 4 5 6 5 4 3 2 1 0 1 0 1 0 1 0 -1 0 [326] -1 -2 -1 -2 -1 -2 -1 -2 -3 -2 -1 -2 -1 -2 -1 -2 -1 0 -1 0 -1 -2 -1 -2 -1 [351] 0 -1 -2 -1 0 -1 0 -1 -2 -1 -2 -3 -2 -1 0 1 0 1 2 3 2 3 2 3 4 [376] 3 4 3 4 3 4 5 6 5 6 7 6 5 6 7 8 7 8 7 6 5 6 7 8 7 [401] 8 9 10 11 12 11 12 13 12 13 12 11 12 11 10 11 12 13 14 15 16 17 18 17 18 [426] 19 18 17 18 19 18 17 16 15 16 15 16 17 16 15 14 15 14 15 14 15 16 17 18 17 [451] 18 19 20 19 18 17 18 17 16 15 14 13 14 13 12 11 12 13 14 15 14 15 14 15 16 [476] 17 16 17 16 17 16 17 18 19 18 19 18 17 16 15 14 15 14 15 16 15 14 15 16 17 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2wrp71228165037.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] 5.761188e+03 1.656155e+01 8.294422e+02 1.313873e+03 2.251202e+01 [6] 4.053040e+02 1.019718e+02 6.084267e+00 1.702765e+02 4.438161e+01 [11] 1.195276e+01 5.929025e+01 1.187571e+01 2.173028e+01 4.708585e+00 [16] 5.842424e+00 4.821585e+01 9.438585e+00 4.101872e+01 1.595630e+01 [21] 1.344015e+01 3.302947e+00 6.962135e+00 2.274226e+01 1.393633e+01 [26] 1.721601e+01 3.936521e+00 6.166183e+00 5.069417e-01 6.537246e+00 [31] 1.796801e+01 4.546277e+00 1.016664e+00 4.766992e-01 1.132757e+01 [36] 1.038451e+00 4.973441e-01 5.272651e+00 1.623974e+01 8.151847e+00 [41] 8.673385e-01 1.695870e+00 3.896085e-01 2.927725e+00 3.922862e+00 [46] 3.016641e+00 6.074215e+00 3.580844e+00 1.515363e+00 1.882438e+00 [51] 2.040906e+00 1.767830e+00 3.498392e+00 1.114598e+00 4.754570e-01 [56] 3.580106e+00 1.191160e+00 1.249768e+00 1.120699e+00 2.962280e+00 [61] 2.670645e+00 1.659205e+00 2.133779e+00 5.353715e+00 1.090830e+00 [66] 4.128904e-01 1.055732e+00 6.212205e-02 1.351663e+00 2.627964e+00 [71] 9.800523e-01 1.181647e+00 1.369318e+00 1.048875e+00 7.217523e+00 [76] 2.885129e-01 1.514387e+00 1.354934e+00 1.157709e+00 6.944614e-01 [81] 1.489913e+00 4.655287e-01 1.231263e-01 9.097187e-02 4.985869e-02 [86] 7.058542e-01 3.377984e-01 3.469336e-01 5.908330e-01 3.071850e-01 [91] 3.440998e+00 2.039991e-01 1.719639e+00 6.901068e-01 1.765349e-02 [96] 1.056406e-02 1.412072e+00 7.432289e-01 1.625750e-02 2.578074e-01 [101] 1.497042e+00 1.280035e+00 1.019472e+00 1.434680e-01 1.307493e+00 [106] 6.450193e-01 1.041821e-01 1.489464e+00 1.596397e-01 6.705193e-02 [111] 1.492898e-01 7.969999e-01 1.731756e+00 5.632454e-02 7.546045e-01 [116] 4.203918e-01 6.674108e-01 4.882650e-01 4.714848e-01 3.284384e-01 [121] 8.402518e-01 5.480980e-02 5.682442e-01 1.461555e-01 2.217279e-01 [126] 2.819192e-01 5.587630e-01 4.499155e-02 9.823961e-01 8.329397e-03 [131] 2.048406e-02 3.853738e-02 1.541096e-01 1.713725e-01 1.288822e-01 [136] 2.701421e-01 1.457098e-02 1.440109e+00 1.642181e-01 5.078442e-01 [141] 3.975369e-01 8.429908e-02 1.657958e-02 6.822432e-02 3.502097e-03 [146] 3.062461e-01 5.946966e-02 6.527152e-01 6.585625e-01 2.924023e-01 [151] 2.603552e-01 1.846248e-01 6.538626e-01 6.955786e-01 4.341636e-01 [156] 1.704247e-01 2.070611e-02 9.432576e-01 3.021491e-01 1.351687e+00 [161] 1.192365e-01 7.989385e-01 1.220672e-01 4.125613e-03 7.747783e-01 [166] 2.527365e-01 2.339172e-02 3.921526e-01 5.147591e-01 3.409045e-01 [171] 4.355514e-01 3.735528e-01 1.755161e-01 6.561202e-01 8.748912e-02 [176] 1.438696e-01 2.332060e-01 6.526090e-01 8.308261e-01 4.008378e-01 [181] 1.160992e-03 2.144238e-01 3.751776e-01 1.134245e-01 8.839360e-02 [186] 2.002651e-01 2.838645e-01 1.369558e-01 2.730857e-02 3.872190e-01 [191] 3.441395e-01 3.126853e-02 2.709622e-01 7.153411e-01 5.935549e-01 [196] 1.063459e-01 2.945435e-01 3.067693e-01 2.651320e-01 5.071704e-01 [201] 4.036999e-02 4.287862e-01 8.701640e-02 5.396343e-01 3.693801e-01 [206] 4.903649e-01 1.351168e-01 1.351677e-01 2.261801e-01 3.284959e-01 [211] 1.535912e-02 2.323637e-02 1.141155e-01 3.790354e-01 9.842391e-03 [216] 3.398323e-01 2.036861e-01 1.931703e-01 1.312672e-01 3.272842e-02 [221] 2.854231e-01 4.638606e-01 6.095338e-01 1.349892e-01 2.468384e-01 [226] 2.978134e-01 6.706623e-03 1.518182e-01 1.140944e-01 1.583841e-01 [231] 2.740128e-01 1.707562e-01 1.641455e-02 6.341514e-01 8.755623e-01 [236] 9.905534e-03 5.371946e-01 2.724374e-01 2.388641e-01 5.435529e-01 [241] 2.071359e-01 1.264581e-01 2.583879e-01 4.577420e-01 3.138406e-02 [246] 1.047020e+00 7.061593e-01 9.295989e-02 9.662630e-02 1.275590e+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/386zn1228165037.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/1plqm1228165037.ps tmp/1plqm1228165037.png") > system("convert tmp/2wrp71228165037.ps tmp/2wrp71228165037.png") > system("convert tmp/386zn1228165037.ps tmp/386zn1228165037.png") > > > proc.time() user system elapsed 0.787 0.578 1.099