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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/1col61228237098.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 -1 -2 -1 0 -1 -2 -1 -2 -3 -4 -5 -6 -5 -4 -5 [19] -6 -5 -4 -5 -6 -7 -8 -9 -10 -9 -8 -9 -8 -7 -8 -7 -6 -5 [37] -4 -5 -4 -5 -4 -5 -4 -3 -2 -3 -4 -5 -6 -5 -6 -5 -4 -3 [55] -2 -1 0 -1 -2 -3 -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 -4 -3 [73] -2 -3 -4 -3 -4 -5 -6 -7 -6 -5 -4 -5 -6 -7 -8 -9 -10 -11 [91] -10 -11 -10 -11 -10 -11 -10 -9 -10 -11 -10 -11 -10 -9 -10 -11 -12 -11 [109] -12 -13 -12 -11 -10 -11 -12 -13 -12 -13 -12 -13 -14 -13 -14 -15 -14 -13 [127] -14 -15 -16 -17 -18 -19 -18 -17 -18 -17 -18 -17 -18 -19 -20 -21 -22 -21 [145] -22 -23 -24 -25 -24 -25 -26 -25 -26 -27 -28 -29 -30 -29 -30 -29 -30 -31 [163] -32 -31 -32 -31 -32 -33 -32 -31 -32 -33 -32 -31 -30 -29 -28 -27 -28 -29 [181] -30 -31 -30 -31 -32 -33 -34 -33 -34 -35 -34 -35 -34 -33 -32 -31 -30 -31 [199] -30 -29 -28 -27 -26 -25 -24 -23 -22 -21 -22 -21 -20 -21 -20 -21 -22 -21 [217] -20 -21 -22 -21 -22 -21 -22 -23 -22 -21 -20 -21 -22 -21 -20 -21 -20 -21 [235] -20 -21 -22 -23 -22 -21 -20 -21 -22 -23 -24 -25 -26 -25 -24 -23 -24 -23 [253] -22 -23 -22 -23 -24 -25 -26 -27 -26 -27 -26 -25 -26 -25 -26 -25 -24 -25 [271] -26 -27 -28 -29 -28 -29 -28 -29 -28 -27 -28 -27 -28 -29 -28 -29 -28 -27 [289] -26 -25 -26 -27 -28 -27 -28 -27 -26 -25 -26 -27 -26 -27 -26 -27 -28 -29 [307] -28 -29 -30 -31 -30 -31 -30 -31 -32 -33 -32 -33 -32 -33 -32 -31 -32 -33 [325] -34 -33 -32 -31 -30 -31 -32 -33 -32 -31 -30 -31 -30 -29 -30 -29 -30 -31 [343] -32 -33 -34 -35 -36 -35 -36 -35 -36 -35 -36 -37 -36 -35 -36 -37 -36 -37 [361] -38 -37 -36 -37 -38 -39 -38 -39 -38 -39 -38 -37 -36 -37 -36 -37 -38 -37 [379] -38 -39 -38 -37 -38 -37 -38 -39 -40 -41 -42 -43 -44 -43 -44 -43 -44 -45 [397] -46 -45 -46 -45 -46 -47 -48 -47 -46 -45 -44 -45 -46 -45 -46 -45 -46 -47 [415] -46 -45 -44 -43 -42 -43 -44 -43 -44 -45 -46 -47 -48 -49 -48 -47 -48 -49 [433] -50 -49 -48 -47 -46 -45 -44 -45 -44 -45 -44 -45 -46 -45 -44 -43 -44 -43 [451] -44 -45 -44 -43 -42 -43 -44 -43 -42 -41 -42 -43 -44 -43 -42 -41 -40 -41 [469] -42 -41 -42 -41 -40 -39 -38 -37 -38 -37 -38 -37 -38 -37 -36 -37 -36 -37 [487] -36 -37 -36 -35 -34 -33 -32 -31 -32 -33 -32 -33 -32 -31 > x <- b > postscript(file="/var/www/html/rcomp/tmp/274051228237098.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] 2.038692e+02 3.449604e+03 7.058286e+02 1.146669e+03 5.503312e+01 [6] 4.322898e+02 4.904658e+01 7.912563e-01 1.555605e+01 1.826188e+01 [11] 1.860839e+01 1.118081e+02 5.943945e+01 1.899879e+00 7.410856e+01 [16] 3.577204e+01 3.039421e+01 2.448032e+00 2.580694e+01 4.916641e+00 [21] 6.001755e+00 1.287645e+00 8.482938e+00 1.905276e+00 2.565974e+01 [26] 4.295816e+00 3.880943e+00 3.337846e+00 6.776155e+00 1.192549e+01 [31] 1.007027e+00 1.147487e+00 1.034105e+01 2.803333e-01 9.161834e+00 [36] 4.011067e+00 7.453058e+00 6.470704e+00 5.563811e+00 8.413045e-01 [41] 5.355662e+00 3.092255e+00 1.379065e+01 1.424332e+00 1.566349e+00 [46] 4.096780e+00 2.472184e+00 3.569828e+00 3.130931e+00 8.968119e-01 [51] 6.394892e+00 2.008166e-01 3.659237e+00 4.856837e+00 1.739063e+00 [56] 2.914882e+00 4.376974e-01 5.701124e-01 2.470348e+00 1.300491e-01 [61] 1.151685e+00 2.929829e+00 2.404721e+00 8.112452e-01 2.280369e+00 [66] 2.000901e+00 3.093193e-01 1.281033e+00 3.486666e+00 1.750349e+00 [71] 1.308056e-01 4.450981e-01 2.886711e+00 6.362667e-01 5.460794e-01 [76] 1.527493e+00 4.262192e-01 2.197998e-01 3.254698e+00 7.644546e-02 [81] 1.796643e+00 1.560614e+00 4.367235e+00 6.884033e-01 8.623841e-01 [86] 9.440116e-02 1.668495e+00 1.238886e-01 2.709999e-01 5.198407e-01 [91] 6.450990e-01 1.657013e+00 5.487977e-01 1.324814e-01 6.057687e-01 [96] 2.349042e-01 4.608060e-01 2.630619e+00 1.424447e-02 4.761724e-01 [101] 1.459312e-01 1.249859e+00 3.512718e-01 9.770083e-01 3.087303e+00 [106] 1.637801e-01 1.895497e-01 5.996775e-01 1.169098e-01 6.853373e-01 [111] 7.532468e-01 2.178912e-01 1.523294e+00 1.133757e+00 8.192859e-01 [116] 3.669215e-01 6.109822e-02 7.702821e-02 1.584430e-01 2.361491e-01 [121] 5.425622e-01 5.294084e-01 5.723386e-01 8.692645e-01 3.446312e-02 [126] 3.287512e-01 3.601556e-01 4.562765e-01 4.148748e-02 2.473205e-01 [131] 2.773450e-01 2.787962e-01 2.029887e-01 1.518705e-01 6.611884e-01 [136] 4.156660e-01 1.216805e+00 6.114420e-01 1.758180e-01 2.025573e-01 [141] 3.773279e-02 8.506683e-02 6.290955e-01 4.282650e-02 2.154182e-01 [146] 4.775166e-01 2.230238e-02 3.365159e-01 1.036136e-01 6.655059e-02 [151] 1.253549e-01 1.271130e-01 4.430784e-02 6.998277e-01 4.331184e-01 [156] 2.967238e-01 3.260897e-01 1.233254e-01 5.271036e-01 1.529974e+00 [161] 3.287694e-01 2.689016e-01 1.835665e-03 3.967981e-02 4.587207e-01 [166] 8.367568e-03 7.240539e-02 9.323413e-02 8.192716e-02 6.189099e-01 [171] 2.660136e-01 5.746501e-02 2.394995e-01 2.132533e-01 2.644722e-01 [176] 2.231784e-01 4.962842e-02 1.577189e-01 4.637613e-01 9.833218e-01 [181] 1.395780e+00 6.869086e-01 1.106133e-01 4.967267e-01 1.042395e-01 [186] 2.300911e-01 4.954742e-01 5.190175e-01 8.997944e-02 1.222165e-01 [191] 5.374159e-01 5.182852e-01 1.801093e-01 1.692712e-01 5.701837e-02 [196] 2.056353e-01 6.773269e-02 8.748860e-02 1.428371e-01 9.623193e-02 [201] 5.431446e-01 1.024647e-01 2.253662e-02 5.443388e-01 4.319778e-03 [206] 7.716562e-02 3.370000e-01 5.140513e-01 1.543277e-01 3.319122e-01 [211] 2.873686e-01 6.178622e-02 1.070739e-01 3.294166e-01 9.716428e-01 [216] 2.661438e-01 3.215414e-01 1.913137e-01 1.810562e-01 7.788049e-02 [221] 4.749572e-01 1.203349e-01 1.196413e-01 2.615395e-01 1.943058e-01 [226] 2.724445e-01 1.968788e-01 1.334271e-01 8.746331e-02 2.392165e-01 [231] 7.853019e-01 5.752255e-01 5.028730e-02 2.748816e-01 1.402312e-01 [236] 1.607420e-01 9.059086e-03 2.742906e-01 5.806765e-01 1.075259e-01 [241] 5.751569e-01 7.271890e-01 2.755258e-01 2.659449e-01 1.437542e-01 [246] 3.909578e-01 7.321617e-02 8.372384e-01 1.318588e-01 6.073541e-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/31n711228237098.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/1col61228237098.ps tmp/1col61228237098.png") > system("convert tmp/274051228237098.ps tmp/274051228237098.png") > system("convert tmp/31n711228237098.ps tmp/31n711228237098.png") > > > proc.time() user system elapsed 2.692 1.734 2.881