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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/1xmsk1228246405.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 4 5 6 5 4 5 6 5 6 7 8 9 8 7 8 7 8 9 8 7 8 [26] 7 8 9 8 9 10 11 10 11 12 13 12 13 12 13 12 11 12 13 12 11 10 9 8 7 [51] 6 7 8 7 6 7 8 7 6 7 6 7 8 9 8 9 10 11 10 9 10 11 10 9 8 [76] 7 6 7 6 5 6 7 8 7 8 9 10 9 8 9 10 9 10 9 8 7 8 7 6 5 [101] 6 7 8 9 10 11 10 11 10 11 12 13 12 11 12 13 12 11 10 11 12 13 12 13 14 [126] 13 14 15 14 13 14 13 12 11 12 11 10 11 10 9 8 7 6 5 6 7 8 9 8 9 [151] 8 9 8 9 8 7 8 9 8 7 6 7 6 7 8 9 10 11 10 11 10 9 8 9 8 [176] 7 8 7 8 9 10 9 8 9 10 11 12 13 14 13 12 11 10 9 10 9 8 9 10 11 [201] 10 9 10 11 10 11 12 11 12 11 12 11 12 13 14 13 14 13 12 11 12 13 14 15 16 [226] 17 16 15 16 17 18 19 20 19 20 21 20 19 18 19 18 17 16 17 16 15 16 17 16 17 [251] 16 17 18 17 16 17 18 17 16 17 16 17 18 17 16 17 16 15 16 17 18 17 16 15 14 [276] 13 12 13 14 15 14 15 14 15 16 17 16 17 16 17 18 19 18 19 20 19 18 19 18 17 [301] 18 19 18 19 18 19 18 17 16 15 16 15 14 15 16 15 14 15 14 15 16 17 18 19 20 [326] 19 20 21 22 21 20 21 22 23 22 23 24 23 22 23 22 21 20 19 20 19 20 19 20 21 [351] 20 21 22 23 24 23 24 23 22 21 20 19 20 19 18 19 20 21 22 21 20 19 18 19 18 [376] 19 18 17 16 15 14 15 16 17 18 17 16 15 14 15 14 13 12 13 12 13 14 13 14 15 [401] 14 13 12 13 12 13 14 15 16 15 14 15 14 13 12 13 12 11 12 13 14 13 14 13 12 [426] 11 12 13 12 11 10 9 10 11 10 9 8 7 6 5 6 7 8 7 8 7 6 7 8 7 [451] 6 5 6 7 6 5 4 3 4 5 4 5 4 3 2 1 2 1 0 -1 0 1 2 1 0 [476] 1 0 1 0 -1 0 -1 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 0 1 2 3 2 3 2 3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2h0wu1228246405.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] 3.183215e+03 9.628016e+02 2.986528e+02 4.318446e+02 2.327632e+02 [6] 4.894004e+01 4.357663e+01 1.407402e+02 3.871350e+01 3.479555e+01 [11] 6.433177e+00 5.506151e+01 3.134443e+01 2.664688e+01 4.314099e+01 [16] 1.982325e+01 3.251342e+01 1.114601e+01 2.895739e+00 1.358913e+01 [21] 3.215835e+01 8.108702e+00 1.074362e+01 2.053715e+01 4.159889e+01 [26] 3.825017e+00 1.024486e+01 3.558375e+00 7.780566e+00 2.085127e+01 [31] 2.861717e+00 8.814686e+00 6.134695e+00 2.458312e+00 4.400850e+00 [36] 8.737139e-01 4.298061e+00 3.841814e+00 1.675205e+00 1.553681e+00 [41] 5.160038e+00 1.887691e+00 3.702831e+00 5.826145e+00 2.632464e+00 [46] 5.521036e+00 3.515108e+00 1.175959e+01 5.884109e-01 2.425799e+00 [51] 4.723281e-01 1.317730e+00 7.716144e+00 2.079370e+00 7.121487e-01 [56] 1.044884e+00 3.867787e+00 4.533171e-01 4.635257e+00 5.301626e-01 [61] 1.453763e+00 2.027760e+00 8.806226e-01 2.661153e-01 7.152124e-01 [66] 3.477833e+00 1.855479e+00 7.920930e-01 1.694476e+00 7.996136e-01 [71] 2.967860e+00 9.385099e-01 7.920714e-01 1.127326e+00 4.740164e-01 [76] 1.931196e+00 1.990706e+00 5.371380e-01 4.569139e-01 1.308107e+00 [81] 6.008671e-02 2.115175e-01 1.643093e+00 1.003732e+00 4.666253e-01 [86] 4.161666e-01 3.415142e-01 1.315402e-01 9.378677e-02 1.437755e-01 [91] 1.955563e+00 5.386600e-01 3.030133e-01 1.163554e+00 9.465561e-01 [96] 1.236168e-01 3.544515e-01 1.050093e+00 4.803614e-02 1.809758e-01 [101] 3.026377e+00 5.707598e-01 9.703925e-01 1.265858e+00 1.154713e+00 [106] 5.611585e-01 3.596294e-01 1.927736e-01 1.785179e-01 1.257803e+00 [111] 8.852556e-01 9.244576e-01 1.607720e+00 9.438837e-01 3.159374e-01 [116] 8.239157e-02 4.862565e-01 1.782139e+00 1.030415e+00 1.674671e+00 [121] 7.217264e-02 3.539945e-01 1.224781e-02 2.071189e-02 1.146123e-01 [126] 5.185300e-01 1.436631e-01 6.358826e-01 3.413556e-01 2.506823e-01 [131] 1.095014e-01 3.687869e+00 1.114430e+00 2.503124e+00 1.424167e-01 [136] 9.962132e-01 5.306796e-01 4.859504e-01 4.761855e-01 3.780146e-01 [141] 8.557901e-02 1.859917e-01 1.992876e-01 1.785737e-01 5.095935e-01 [146] 1.181239e-01 9.506837e-01 5.800748e-02 2.912546e-01 2.917049e-01 [151] 4.513135e-01 3.244494e-01 2.176334e+00 2.397681e-01 4.646334e-01 [156] 7.336716e-01 7.920148e-01 1.955973e-02 2.930553e-01 6.153833e-01 [161] 3.560205e-01 6.820910e-01 3.702994e-01 2.820152e-01 9.234929e-02 [166] 2.066967e-01 1.599839e-01 2.209794e-01 2.648751e-01 1.715645e-01 [171] 2.453318e-01 1.757744e-01 2.212671e-02 3.040917e-02 5.536802e-02 [176] 4.272173e-01 1.904418e-01 2.354929e-01 5.429368e-02 9.082047e-02 [181] 1.387078e-02 3.931350e-01 1.489412e-01 9.446301e-01 4.469845e-01 [186] 1.854504e-01 1.134709e-01 2.397739e-02 4.452699e-02 2.967503e-02 [191] 3.661164e-01 9.107325e-02 9.093358e-02 2.133334e-01 1.756419e-01 [196] 2.727606e-02 6.477776e-02 6.498989e-03 3.410900e-02 1.008361e-01 [201] 3.765970e-01 2.701220e-01 4.511453e-01 1.418225e-01 7.399657e-01 [206] 1.001715e-02 7.509926e-02 1.596233e-01 2.511737e-01 5.845376e-01 [211] 1.595508e-01 2.292444e-02 1.643950e-01 1.056446e-01 5.328395e-01 [216] 1.212146e-01 3.636464e-01 1.289254e-01 3.368386e-01 2.343366e-01 [221] 9.970211e-02 8.930658e-02 4.057343e-01 5.606708e-01 4.260825e-02 [226] 2.284375e-01 1.504735e-01 3.601676e-02 1.068280e-01 1.059419e-01 [231] 1.798925e-01 1.647705e-01 1.543801e-01 3.709351e-02 1.029349e-01 [236] 4.926796e-02 1.492260e-01 6.694428e-01 6.492986e-01 5.581308e-02 [241] 1.185522e-01 1.203913e-01 2.554928e-01 3.558734e-01 2.236216e-01 [246] 1.384390e+00 8.089277e-02 2.240501e-01 4.978565e-02 6.408812e-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/3xl4c1228246405.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/1xmsk1228246405.ps tmp/1xmsk1228246405.png") > system("convert tmp/2h0wu1228246405.ps tmp/2h0wu1228246405.png") > system("convert tmp/3xl4c1228246405.ps tmp/3xl4c1228246405.png") > > > proc.time() user system elapsed 0.801 0.599 0.964