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Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > 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/1l3kl1228157806.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 0 1 0 1 2 1 0 1 2 3 [19] 2 1 0 -1 0 -1 0 -1 -2 -1 -2 -3 -2 -3 -2 -3 -2 -3 [37] -2 -1 -2 -3 -2 -1 -2 -3 -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 [55] -4 -3 -2 -1 -2 -1 -2 -3 -4 -3 -4 -3 -2 -1 0 -1 -2 -1 [73] -2 -1 0 -1 0 -1 0 1 0 1 0 -1 0 1 0 1 0 1 [91] 2 1 0 -1 -2 -3 -2 -3 -4 -3 -2 -1 0 1 0 1 2 3 [109] 4 5 6 7 8 9 8 9 8 9 8 9 10 9 8 7 6 5 [127] 4 5 4 5 4 5 4 3 2 1 2 1 2 3 2 3 4 5 [145] 4 3 4 5 4 3 2 1 0 1 2 3 2 3 2 1 0 1 [163] 2 1 0 1 0 1 2 3 2 1 2 3 2 1 0 1 0 1 [181] 2 1 0 -1 -2 -1 0 1 2 1 0 -1 0 -1 0 -1 -2 -1 [199] 0 -1 -2 -3 -2 -3 -4 -3 -4 -3 -4 -5 -4 -3 -4 -3 -2 -1 [217] -2 -3 -4 -3 -4 -5 -4 -3 -2 -1 -2 -3 -2 -3 -4 -5 -4 -5 [235] -6 -7 -8 -9 -8 -9 -8 -7 -6 -7 -6 -7 -8 -7 -8 -9 -10 -9 [253] -8 -7 -8 -7 -6 -5 -6 -7 -6 -5 -4 -3 -2 -3 -2 -1 0 1 [271] 0 -1 -2 -3 -4 -3 -2 -1 0 1 0 1 2 3 2 1 0 -1 [289] 0 -1 -2 -1 -2 -3 -4 -3 -4 -3 -4 -5 -4 -3 -4 -3 -2 -1 [307] 0 -1 0 1 2 1 0 -1 0 -1 -2 -1 -2 -3 -4 -3 -4 -5 [325] -6 -7 -8 -7 -6 -7 -6 -5 -6 -7 -6 -5 -4 -5 -4 -3 -4 -5 [343] -4 -3 -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 -6 -7 -6 -5 -6 -5 [361] -4 -3 -4 -3 -4 -5 -4 -3 -2 -1 0 -1 0 -1 0 1 0 -1 [379] 0 1 2 3 4 3 4 3 2 3 2 3 2 3 2 3 4 3 [397] 4 3 4 5 6 7 6 7 6 5 4 3 4 3 2 1 0 1 [415] 2 3 4 5 4 5 6 7 8 9 8 7 8 9 8 9 8 7 [433] 8 9 10 11 12 11 12 13 12 13 12 11 10 11 10 11 12 11 [451] 10 11 10 11 12 13 14 13 12 13 12 13 14 15 16 17 18 17 [469] 18 17 16 15 14 13 14 13 12 11 12 13 12 11 12 13 12 11 [487] 10 11 12 13 14 13 14 15 14 15 14 15 14 13 > x <- b > postscript(file="/var/www/html/rcomp/tmp/24qip1228157806.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] 2.954415e+03 9.186976e+02 1.096444e+03 1.011280e+02 2.427924e+01 [6] 3.369606e+02 1.359775e+01 2.554558e+01 7.801259e+01 9.781454e+01 [11] 2.194549e+01 1.804835e+01 1.291088e+02 1.424214e+01 2.160934e+01 [16] 5.043007e+01 6.480251e+01 3.707166e+01 8.355698e-01 2.220486e+01 [21] 2.553644e+00 2.088677e+01 6.540248e+00 1.315090e+00 1.353441e+01 [26] 2.532433e+01 1.034704e+00 7.248504e-01 2.484765e+01 1.099018e+00 [31] 7.247052e-01 1.922836e+00 3.834216e+00 3.118639e+00 4.015583e+00 [36] 7.319733e+00 1.171956e+01 9.277708e+00 4.877675e+00 8.267206e+00 [41] 5.593058e-02 4.425984e-01 8.689053e-01 4.515987e+00 6.787781e+00 [46] 4.151375e+00 6.481135e-01 6.923839e+00 2.515209e-01 1.729595e+00 [51] 4.290850e-02 3.907138e+00 1.347743e+00 3.934846e+00 1.414164e-01 [56] 7.376559e-01 4.418932e+00 3.585137e+00 5.140245e-01 1.282180e+00 [61] 1.255716e+00 6.188081e-01 1.958408e+00 4.047394e-01 7.021830e-01 [66] 1.558276e+00 1.525276e+00 6.986381e-02 6.080557e-01 1.183811e-01 [71] 2.663395e-01 1.100209e+00 2.138040e+00 1.068028e+00 5.767057e+00 [76] 2.681261e+00 5.285590e+00 4.389936e-01 1.122954e+00 7.248007e-01 [81] 3.803052e-01 4.266947e-01 1.755029e+00 7.461361e-01 8.122648e-01 [86] 4.674535e-01 1.221360e-01 3.259493e-01 1.301417e+00 3.567390e-01 [91] 2.119243e-01 2.467828e-01 1.129806e+00 7.227889e-02 1.204621e+00 [96] 4.024076e-01 2.517224e-01 1.564581e-01 1.291932e+00 4.977094e-01 [101] 1.247265e-01 1.236970e+00 1.959872e-02 6.197385e-01 2.060328e-01 [106] 9.449628e-01 6.607159e-02 1.002396e-01 5.035167e-01 6.424980e-01 [111] 4.269393e-01 1.461474e+00 2.303331e-01 8.289657e-01 1.513056e-01 [116] 1.886127e+00 9.868205e-01 4.779777e-01 5.469711e-02 4.604834e-01 [121] 1.003047e+00 3.918886e-01 3.479380e-02 8.424181e-02 3.442370e-01 [126] 1.030466e-01 4.079356e-01 2.590454e-01 2.417546e-02 7.860404e-02 [131] 5.933174e-01 1.943492e+00 8.413295e-01 1.881346e-01 1.002087e-01 [136] 1.252728e+00 1.633307e-01 1.039887e+00 5.284005e-02 4.509727e-02 [141] 5.194021e-01 5.346093e-01 1.329426e-03 2.467395e-01 6.733928e-02 [146] 6.223740e-01 5.032627e-02 2.727742e-02 1.786874e-01 1.619651e-01 [151] 3.944801e-01 1.146874e+00 5.469853e-01 1.980546e-02 2.015275e-02 [156] 2.930612e-01 7.974291e-01 1.216165e-01 6.045493e-01 1.034808e+00 [161] 5.551990e-01 1.069832e+00 2.490433e-01 4.011658e-02 9.538681e-01 [166] 1.686312e+00 1.660471e+00 1.936440e-01 2.031151e-02 2.018386e-01 [171] 4.290168e-01 7.494127e-02 1.662215e-02 3.148473e-01 5.139040e-01 [176] 2.190433e-01 1.160059e-02 4.572887e-01 1.004761e+00 1.798861e-01 [181] 7.260242e-02 2.227673e-01 2.246780e-01 1.000691e-01 1.628266e-01 [186] 6.366230e-02 2.724978e-01 2.235200e-02 8.666607e-02 9.491975e-02 [191] 7.343187e-01 1.982128e-01 2.393589e-01 2.317805e-01 4.159996e-02 [196] 2.163041e-02 3.484545e-01 1.985969e-01 6.303267e-01 6.289082e-02 [201] 2.471968e-01 1.647148e-02 4.880580e-01 1.391428e-01 1.258945e-01 [206] 2.961381e-01 7.527395e-02 6.314027e-01 9.085738e-02 4.514988e-01 [211] 2.942029e-01 3.779224e-01 5.709098e-01 8.816293e-01 5.579987e-01 [216] 1.203678e-01 6.349475e-01 7.773873e-02 1.526862e-01 1.116239e-02 [221] 7.303920e-02 1.120773e-02 5.579412e-02 1.446329e-02 1.977322e-01 [226] 2.840830e-01 4.269586e-01 4.017504e-01 7.358233e-01 1.281187e-02 [231] 1.735628e-02 4.791522e-02 1.159184e-01 7.620483e-02 8.437707e-01 [236] 7.518126e-02 3.433191e-01 1.846401e-01 1.739544e-01 4.859158e-01 [241] 6.021302e-01 7.048780e-03 2.089499e-01 1.000736e-02 3.589319e-02 [246] 2.040497e-01 3.862657e-01 2.297886e-01 1.643099e-01 9.743638e-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/3mr1b1228157806.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/1l3kl1228157806.ps tmp/1l3kl1228157806.png") > system("convert tmp/24qip1228157806.ps tmp/24qip1228157806.png") > system("convert tmp/3mr1b1228157806.ps tmp/3mr1b1228157806.png") > > > proc.time() user system elapsed 0.802 0.576 1.270