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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/1tx301228749261.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 3 4 3 2 1 0 1 0 1 2 3 2 1 [19] 0 -1 0 1 2 3 4 3 2 1 0 1 2 1 2 3 4 5 [37] 4 5 4 3 2 3 4 3 2 1 0 -1 -2 -3 -4 -5 -4 -5 [55] -4 -5 -6 -5 -6 -5 -6 -7 -6 -7 -6 -7 -8 -7 -6 -5 -6 -7 [73] -8 -9 -8 -7 -6 -5 -6 -7 -6 -7 -8 -9 -10 -9 -8 -9 -8 -7 [91] -8 -7 -8 -9 -8 -7 -6 -7 -8 -9 -10 -11 -10 -11 -12 -11 -12 -11 [109] -10 -9 -10 -9 -8 -7 -8 -9 -8 -7 -6 -5 -4 -5 -6 -5 -6 -5 [127] -4 -3 -4 -3 -2 -3 -4 -3 -2 -3 -2 -1 -2 -3 -2 -3 -4 -3 [145] -4 -5 -6 -7 -8 -7 -6 -5 -4 -3 -4 -3 -4 -3 -2 -1 0 -1 [163] -2 -3 -4 -5 -4 -3 -4 -5 -4 -3 -2 -3 -4 -3 -2 -3 -2 -3 [181] -4 -3 -4 -5 -4 -3 -4 -5 -4 -5 -6 -7 -8 -7 -8 -7 -8 -7 [199] -8 -9 -10 -11 -12 -13 -12 -13 -14 -15 -14 -13 -14 -15 -16 -17 -16 -17 [217] -16 -15 -14 -15 -16 -15 -16 -15 -14 -15 -14 -13 -12 -13 -14 -13 -12 -13 [235] -14 -13 -12 -13 -14 -15 -14 -15 -16 -17 -16 -15 -14 -13 -14 -15 -16 -17 [253] -18 -17 -16 -15 -16 -15 -16 -15 -14 -13 -12 -13 -14 -13 -12 -13 -12 -13 [271] -12 -13 -14 -15 -16 -15 -14 -13 -12 -11 -10 -11 -12 -11 -10 -11 -12 -11 [289] -12 -11 -10 -11 -12 -13 -12 -11 -12 -13 -14 -13 -12 -13 -12 -13 -14 -13 [307] -12 -13 -14 -15 -14 -15 -14 -15 -16 -17 -16 -17 -18 -19 -18 -17 -18 -19 [325] -20 -19 -20 -19 -18 -17 -18 -19 -20 -19 -20 -21 -22 -21 -20 -21 -22 -23 [343] -22 -21 -20 -19 -20 -21 -22 -21 -22 -21 -22 -23 -22 -21 -20 -19 -18 -19 [361] -20 -21 -22 -23 -24 -25 -26 -25 -24 -25 -24 -23 -22 -21 -22 -21 -22 -21 [379] -22 -21 -20 -19 -18 -19 -20 -21 -22 -21 -22 -23 -22 -23 -22 -21 -20 -21 [397] -20 -21 -22 -23 -22 -23 -24 -23 -22 -23 -22 -23 -24 -25 -26 -27 -28 -29 [415] -30 -29 -28 -27 -28 -29 -30 -31 -32 -31 -30 -31 -30 -29 -30 -29 -28 -29 [433] -30 -31 -32 -33 -34 -35 -34 -35 -36 -37 -36 -37 -36 -35 -34 -33 -34 -33 [451] -34 -35 -36 -35 -34 -33 -32 -31 -32 -33 -32 -31 -32 -33 -34 -35 -34 -33 [469] -32 -31 -30 -29 -28 -27 -26 -27 -26 -25 -24 -25 -26 -27 -28 -27 -26 -25 [487] -24 -25 -24 -23 -22 -23 -22 -23 -22 -23 -22 -21 -22 -21 > x <- b > postscript(file="/var/www/html/rcomp/tmp/25oks1228749261.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] 6.531046e+02 5.909730e+00 9.900473e+02 1.060291e+03 2.165011e+02 [6] 8.422511e+01 8.336547e+01 4.211312e+01 6.342085e+01 1.401336e+02 [11] 2.514596e+01 3.554141e+00 4.554881e+01 2.334847e+00 1.514656e+01 [16] 1.858723e+01 2.852600e+00 1.765320e+01 9.134094e+00 1.917515e+01 [21] 4.020193e+01 1.875483e+01 4.932537e+00 1.609316e+01 1.012405e+01 [26] 2.770135e+00 1.591221e+01 2.096649e+00 1.439418e+00 1.237111e+01 [31] 5.824440e+00 4.420855e+00 7.758790e+00 4.600074e+00 3.878883e+00 [36] 4.901115e+00 2.170997e-01 6.725012e+00 5.073929e+00 1.333406e+01 [41] 5.926711e+00 3.624704e-02 8.606091e+00 5.093509e+00 1.565474e+00 [46] 6.602536e+00 1.395489e+01 5.804888e-01 9.660512e-01 9.947447e+00 [51] 1.349486e+00 2.301555e+00 3.251098e-01 3.613475e+00 8.153641e-01 [56] 1.507175e+00 6.090343e-01 3.161537e-02 6.231514e+00 4.854902e+00 [61] 1.505282e+00 1.928347e+00 2.859765e+00 6.038654e-01 2.065115e-01 [66] 3.623546e-01 8.629215e+00 4.843564e+00 1.807335e-01 1.094292e+00 [71] 4.360337e-01 1.972751e-01 1.375352e+00 3.060767e-01 8.356236e-01 [76] 2.972808e-01 4.567386e-01 1.738647e+00 1.064958e+00 7.248929e-02 [81] 1.558053e+00 4.491957e+00 8.681870e-02 5.763743e-01 2.803232e-01 [86] 4.446010e-01 3.535849e-01 6.400603e-01 4.109875e+00 1.294497e+00 [91] 2.766378e+00 3.248174e-01 4.721643e+00 1.022662e-01 1.488528e-01 [96] 1.087660e-01 6.137627e-01 1.399837e-01 3.686476e-01 2.729129e-01 [101] 1.618448e-01 3.289624e-01 9.240043e-01 7.421254e-01 6.104035e-01 [106] 8.813356e-01 1.035285e+00 6.212869e-01 5.499593e-01 6.502337e-01 [111] 7.623315e-01 2.090657e-02 1.617201e+00 7.816700e-01 4.364289e-01 [116] 7.005914e-01 1.317202e+00 1.244951e+00 1.936233e-01 9.923960e-01 [121] 2.606976e-01 5.523996e-02 5.518910e-02 6.575475e-02 3.490367e-01 [126] 4.572804e-01 4.546815e-02 5.509278e-01 9.151427e-01 2.914049e-02 [131] 4.438858e-01 4.780225e-01 1.287913e+00 1.474078e-01 1.835460e-01 [136] 1.421228e+00 8.006647e-01 3.713612e-01 1.728850e-02 1.664548e-01 [141] 1.979125e-01 4.212821e-01 2.537817e-01 5.607103e-01 4.756492e-01 [146] 7.075283e-01 7.210389e-01 7.676271e-01 3.793161e-02 3.832591e-01 [151] 2.150231e-01 3.506552e-02 1.067805e+00 1.169854e+00 6.272733e-02 [156] 9.227692e-01 1.416924e-01 1.625209e-01 2.631263e-01 1.384877e-01 [161] 2.000840e-01 2.300010e-01 9.831279e-03 9.776981e-02 3.544375e-01 [166] 8.396440e-02 1.031584e+00 5.189719e-01 1.075822e-01 1.120167e-01 [171] 3.040098e-01 9.480572e-02 5.550869e-01 1.243941e-01 9.904940e-02 [176] 2.001680e-01 5.451929e-01 8.928013e-02 3.385918e-01 1.107697e-01 [181] 7.208788e-02 3.563239e-02 8.392438e-02 4.227754e-01 2.311478e-01 [186] 6.892918e-02 3.874509e-01 2.087794e-02 3.434202e-01 8.085914e-02 [191] 6.265448e-03 4.448477e-01 1.955692e-01 8.815596e-02 3.072146e-01 [196] 3.020089e-02 2.725378e-01 5.638097e-01 8.828828e-02 3.752388e-01 [201] 3.294303e-01 1.030552e-01 1.741848e-01 7.555529e-01 4.960345e-02 [206] 2.696815e-01 3.424327e-02 8.093697e-02 2.066920e-01 4.132698e-01 [211] 8.407586e-01 3.194239e-01 6.307185e-02 6.272774e-01 4.594663e-02 [216] 1.530873e-01 7.482489e-02 1.016811e-01 1.495600e-01 4.532915e-02 [221] 3.766063e-01 3.818805e-01 7.047045e-02 1.914036e-02 1.215505e-01 [226] 1.641482e-02 4.043328e-01 1.460993e-01 1.840655e-01 4.112028e-01 [231] 2.841118e-01 2.491874e-02 3.967614e-04 4.698239e-01 5.035538e-01 [236] 6.435292e-02 4.824015e-01 6.313128e-01 5.999513e-01 1.310977e-02 [241] 2.084026e-02 2.598227e-02 4.392853e-02 2.196030e-01 1.459649e-01 [246] 1.179638e-01 1.030870e-01 1.024262e-01 2.867539e-02 7.802159e-04 $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/3iqio1228749261.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/1tx301228749261.ps tmp/1tx301228749261.png") > system("convert tmp/25oks1228749261.ps tmp/25oks1228749261.png") > system("convert tmp/3iqio1228749261.ps tmp/3iqio1228749261.png") > > > proc.time() user system elapsed 0.839 0.629 0.976