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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/freestat/rcomp/tmp/14q7b1228067900.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 1 2 3 2 3 2 3 2 3 4 5 4 5 [19] 4 5 4 3 2 1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 0 -1 [37] 0 -1 -2 -3 -4 -3 -4 -5 -4 -3 -2 -3 -4 -3 -2 -1 0 1 [55] 0 1 2 1 0 -1 -2 -1 0 -1 -2 -1 -2 -3 -4 -5 -6 -5 [73] -6 -7 -8 -7 -6 -7 -8 -9 -10 -9 -10 -11 -12 -13 -12 -11 -12 -13 [91] -14 -15 -16 -17 -18 -19 -18 -19 -18 -17 -16 -15 -16 -17 -16 -15 -16 -15 [109] -16 -17 -16 -15 -14 -15 -14 -15 -16 -15 -14 -13 -12 -11 -12 -13 -12 -13 [127] -12 -13 -12 -13 -14 -15 -16 -15 -16 -17 -18 -19 -18 -17 -18 -17 -18 -19 [145] -18 -19 -18 -19 -20 -21 -22 -21 -22 -21 -22 -23 -24 -23 -22 -21 -22 -21 [163] -20 -19 -18 -17 -18 -17 -16 -15 -16 -17 -18 -17 -16 -15 -14 -13 -12 -11 [181] -12 -13 -12 -13 -12 -13 -12 -13 -12 -13 -14 -13 -12 -13 -14 -13 -14 -13 [199] -14 -13 -14 -13 -12 -11 -12 -13 -14 -15 -16 -15 -16 -15 -14 -13 -14 -13 [217] -14 -15 -16 -17 -18 -17 -16 -17 -18 -17 -16 -15 -14 -13 -12 -11 -12 -13 [235] -12 -11 -10 -9 -10 -9 -10 -9 -10 -9 -8 -7 -6 -7 -6 -5 -6 -7 [253] -6 -7 -6 -5 -4 -5 -4 -5 -4 -5 -6 -5 -6 -7 -6 -7 -6 -5 [271] -4 -5 -6 -7 -8 -7 -8 -9 -8 -9 -8 -9 -8 -9 -8 -9 -8 -9 [289] -8 -9 -10 -11 -12 -13 -12 -11 -12 -11 -10 -11 -10 -9 -10 -9 -8 -7 [307] -6 -5 -6 -7 -8 -7 -8 -7 -6 -5 -4 -5 -4 -3 -4 -3 -4 -5 [325] -4 -3 -2 -3 -2 -3 -2 -1 -2 -3 -2 -3 -4 -5 -6 -5 -4 -5 [343] -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -5 -6 -7 -8 -9 -8 -9 [361] -10 -11 -10 -11 -10 -9 -8 -9 -10 -9 -10 -9 -10 -11 -12 -13 -12 -13 [379] -12 -11 -10 -9 -10 -9 -10 -11 -10 -11 -12 -13 -14 -15 -16 -15 -16 -17 [397] -18 -17 -16 -17 -16 -17 -18 -17 -18 -17 -18 -19 -18 -19 -20 -19 -18 -19 [415] -20 -21 -20 -21 -22 -23 -22 -21 -22 -21 -22 -23 -22 -21 -20 -21 -22 -21 [433] -20 -21 -22 -21 -22 -21 -20 -21 -20 -19 -20 -19 -20 -21 -22 -21 -20 -21 [451] -20 -19 -18 -17 -16 -15 -14 -13 -12 -13 -12 -13 -12 -13 -14 -13 -12 -13 [469] -12 -11 -10 -9 -8 -7 -8 -9 -8 -7 -8 -9 -10 -9 -8 -7 -6 -7 [487] -6 -5 -4 -3 -4 -3 -2 -3 -4 -3 -2 -1 -2 -3 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2gwl41228067900.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] 1.168379e+03 4.962213e+03 7.901759e+02 1.267990e+02 4.335742e+02 [6] 1.351658e+01 8.190326e+02 2.287030e+02 9.205725e+01 6.367122e+01 [11] 1.804137e+01 8.618387e+00 4.342201e+00 2.538740e+01 6.459569e+00 [16] 7.041778e+00 2.641905e+01 2.198088e+00 2.184603e+00 1.471176e+01 [21] 1.151324e+00 1.022172e+01 2.069466e+01 1.650150e+01 1.086958e+01 [26] 4.584754e+00 3.879955e+01 7.167807e-01 1.089376e+01 7.595815e+00 [31] 4.108742e+00 1.174900e+01 9.147905e+00 2.808646e-01 1.000913e+01 [36] 9.698539e+00 6.229219e-01 1.279281e+00 1.228950e+01 2.952373e+00 [41] 4.502986e+00 3.436545e+00 6.732963e+00 5.979159e+00 3.039788e+00 [46] 6.438701e-01 1.834775e+00 2.783315e+00 7.112398e-01 7.277207e-01 [51] 1.307819e+00 2.568384e+00 4.559732e+00 3.168851e+00 1.555096e-02 [56] 5.000352e-02 3.766214e+00 6.161502e-01 3.380853e+00 4.403047e+00 [61] 1.785675e-01 3.866885e-02 3.006720e-01 1.033036e+00 6.173004e-01 [66] 1.305135e-01 1.390592e-01 1.980781e-01 8.972533e-02 1.183594e+00 [71] 7.321568e-01 1.573563e-01 3.160229e+00 3.046450e-01 9.282680e-01 [76] 5.659000e-02 5.119658e+00 1.991811e+00 2.120846e-01 1.393485e+00 [81] 3.583073e-01 8.512730e-01 1.542883e-01 2.631425e-01 2.382820e+00 [86] 6.514480e-01 2.051734e+00 2.182282e-01 2.498657e+00 2.031279e-01 [91] 5.828296e-02 1.853570e-01 8.484607e-01 2.430812e-01 3.877137e-02 [96] 4.349249e-01 1.380136e+00 1.869756e+00 1.178050e+00 7.121387e-01 [101] 9.933042e-01 2.470035e+00 1.658401e+00 2.935608e+00 2.312256e-01 [106] 6.128517e-01 3.840874e-01 1.221738e-01 7.018028e-01 1.341709e-01 [111] 8.500346e-01 7.739380e-02 4.819532e-01 3.212860e-01 2.228446e-01 [116] 1.061221e-01 1.062060e-01 1.594102e-01 5.704444e-01 5.505503e-01 [121] 7.048363e-03 1.670374e-01 1.298980e-01 5.773867e-01 1.320463e-02 [126] 1.236479e-01 1.325335e-01 7.692508e-01 5.478738e-01 1.497588e-01 [131] 7.708973e-01 2.533248e-01 6.133872e-01 3.526953e-01 6.060053e-02 [136] 7.455029e-02 9.215233e-02 1.022242e+00 1.463500e-01 2.906762e-01 [141] 3.087460e-01 3.027695e-01 1.376328e-01 2.475764e-02 6.350076e-01 [146] 5.235609e-01 9.642116e-01 1.477633e-01 3.837746e-01 6.495847e-01 [151] 1.675138e-01 1.516544e-01 8.249996e-01 8.084952e-02 4.078815e-01 [156] 3.874949e-04 6.159064e-01 7.467384e-02 5.817746e-02 2.739179e-01 [161] 3.370254e-01 4.916353e-01 6.694085e-01 1.151162e+00 1.487641e-01 [166] 8.133672e-01 1.016357e-01 4.430757e-01 4.029388e-01 1.760535e-02 [171] 1.887342e-01 6.659789e-01 5.387064e-01 4.840135e-01 1.345923e-01 [176] 9.211059e-01 2.011863e-01 3.956889e-01 1.669182e-01 7.836289e-02 [181] 4.927230e-02 6.438650e-03 2.429500e-01 2.584007e-01 1.451746e-01 [186] 5.723075e-02 6.786007e-03 1.852629e-02 7.409876e-01 2.871546e-01 [191] 5.346472e-01 3.604309e-03 7.314370e-02 3.526541e-01 4.833459e-03 [196] 2.582212e-02 2.726625e-01 1.582955e-01 3.113255e-01 1.329867e+00 [201] 7.627334e-01 3.861007e-01 3.808789e-01 3.507924e-01 1.307353e-01 [206] 2.276049e-01 2.316427e-02 7.110046e-01 6.709589e-01 2.177405e-01 [211] 2.718525e-02 4.463293e-01 3.110839e-02 1.409227e-02 4.018254e-01 [216] 9.032338e-02 2.320471e-01 8.662539e-01 1.631838e-01 4.249981e-01 [221] 2.173047e-02 4.661429e-01 2.677963e-02 4.895039e-01 1.906708e-01 [226] 1.119217e-01 1.774864e-01 2.255040e-01 2.530828e-02 2.605004e-01 [231] 1.917097e-01 8.509403e-02 1.569625e-02 1.708168e-01 6.886708e-01 [236] 4.586599e-01 3.148793e-01 1.416413e-01 4.864196e-01 2.865332e-01 [241] 1.648605e-01 3.816416e-02 5.973738e-01 6.384569e-01 1.365172e-01 [246] 2.147658e-01 4.877109e-01 2.408724e-01 2.387292e-01 4.972467e-03 $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/freestat/rcomp/tmp/3hu6y1228067900.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/14q7b1228067900.ps tmp/14q7b1228067900.png") > system("convert tmp/2gwl41228067900.ps tmp/2gwl41228067900.png") > system("convert tmp/3hu6y1228067900.ps tmp/3hu6y1228067900.png") > > > proc.time() user system elapsed 1.063 0.729 1.192