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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/1ftt81228151990.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 3 2 3 4 5 [19] 4 5 4 5 6 5 4 3 2 3 2 1 0 1 2 3 4 3 [37] 2 1 0 -1 0 1 2 3 4 3 4 5 6 5 6 5 6 7 [55] 6 7 6 7 6 7 6 5 4 3 2 3 4 5 6 5 4 5 [73] 4 5 4 5 6 5 4 5 6 5 6 5 6 5 4 3 4 5 [91] 4 5 6 5 4 5 6 7 6 7 6 7 6 5 6 5 6 7 [109] 6 5 6 7 8 7 8 9 10 9 10 11 10 11 10 11 10 11 [127] 10 9 10 9 10 11 12 11 10 9 8 9 10 9 8 9 8 9 [145] 10 11 10 9 10 11 10 9 8 9 8 7 8 9 10 11 10 9 [163] 10 9 10 9 8 7 6 5 6 5 4 3 2 3 4 3 2 1 [181] 2 1 0 1 2 1 2 3 2 1 0 -1 0 1 0 1 2 3 [199] 4 3 4 3 2 1 2 1 0 1 0 1 0 1 2 3 4 3 [217] 2 3 2 1 2 3 4 5 4 3 2 3 2 1 0 1 2 1 [235] 0 -1 0 1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 0 1 2 3 [253] 2 3 2 3 2 3 2 1 2 3 4 3 4 5 6 5 6 5 [271] 4 3 2 1 0 1 0 -1 -2 -1 0 -1 -2 -3 -2 -1 -2 -1 [289] -2 -3 -4 -5 -4 -5 -4 -5 -4 -5 -6 -5 -4 -5 -4 -5 -6 -5 [307] -4 -5 -6 -5 -4 -5 -4 -5 -6 -7 -8 -7 -8 -7 -6 -7 -8 -7 [325] -8 -9 -8 -9 -8 -7 -6 -5 -4 -5 -6 -5 -6 -7 -8 -7 -6 -7 [343] -6 -7 -8 -7 -6 -7 -6 -7 -8 -7 -6 -5 -6 -7 -8 -9 -10 -9 [361] -8 -9 -10 -9 -10 -11 -10 -9 -10 -11 -10 -11 -10 -11 -12 -11 -12 -11 [379] -10 -9 -8 -7 -6 -7 -6 -5 -6 -5 -4 -3 -2 -3 -4 -5 -4 -5 [397] -4 -5 -4 -3 -4 -3 -4 -3 -4 -3 -4 -5 -4 -3 -4 -5 -4 -5 [415] -4 -5 -4 -5 -4 -3 -4 -3 -4 -5 -6 -5 -6 -7 -6 -5 -4 -5 [433] -4 -3 -2 -1 0 -1 -2 -1 -2 -3 -2 -3 -4 -5 -6 -5 -4 -5 [451] -4 -5 -4 -3 -4 -3 -4 -5 -4 -3 -2 -1 0 1 2 3 4 3 [469] 4 5 6 7 8 7 8 9 8 7 8 7 6 7 6 5 4 5 [487] 4 5 4 3 2 3 4 5 6 5 4 5 4 3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/20n771228151990.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] 1.959131e+03 5.374099e+02 7.528665e+02 1.549242e+02 5.272213e+01 [6] 8.168787e+01 1.261577e+02 1.105483e+02 1.696078e+01 4.373556e+01 [11] 5.465054e+01 9.445901e+01 4.471402e+01 3.979401e+01 1.200746e+01 [16] 4.937381e+00 8.863075e+00 3.258540e+01 1.789688e+01 7.136346e-01 [21] 1.149668e+01 1.850847e+00 8.807390e+00 1.191029e+01 1.514338e-01 [26] 6.090025e-01 7.085168e+00 1.426136e+00 1.439736e+01 2.726163e+01 [31] 1.197970e+00 8.835089e-01 5.745019e+00 7.892425e-03 6.853199e-01 [36] 8.196622e+00 1.865408e+00 1.115731e+01 7.058116e+00 2.248429e+00 [41] 6.386888e-02 7.181226e+00 1.234625e+00 1.014516e+00 6.332306e+00 [46] 1.757611e+00 9.381682e-01 1.213537e+00 3.473487e+00 2.063365e+00 [51] 1.613153e+00 2.585969e+00 1.980119e-01 2.947165e+00 3.406757e+00 [56] 4.224125e+00 1.107486e+00 4.836379e-01 7.098133e-01 1.493107e-01 [61] 4.032341e+00 1.391396e+00 1.018793e+00 1.411517e+00 4.120102e-01 [66] 5.405391e-02 2.198040e-01 1.987191e+00 8.781553e-01 6.032596e-02 [71] 2.174138e-01 3.124124e+00 5.365487e-02 2.053845e+00 7.552574e-01 [76] 6.878348e-01 4.446722e+00 5.759494e-01 8.215506e-01 4.118246e-01 [81] 3.296221e+00 1.324683e+00 1.570790e-01 7.029164e-01 8.384692e-01 [86] 2.856099e-01 3.272754e-01 1.286324e+00 2.067302e-01 1.038048e+00 [91] 6.163755e-01 9.470457e-01 8.783234e-03 6.217151e-01 1.402996e+00 [96] 1.424445e+00 6.113447e-01 9.902092e-02 2.297523e-01 2.616720e-01 [101] 1.955375e+00 2.286312e+00 1.459203e+00 1.083353e+00 8.947869e-01 [106] 2.841580e-01 1.097578e+00 8.839374e-01 1.924034e-02 2.335496e-01 [111] 4.012413e-01 1.049203e-01 6.665312e-01 8.054628e-01 1.453779e+00 [116] 1.472879e+00 2.399533e-01 3.073866e-01 3.645847e-01 5.112798e-01 [121] 2.001916e-01 1.499778e-01 4.352175e-01 5.163374e-01 1.323643e+00 [126] 8.555133e-02 2.846574e-01 5.557589e-03 1.287294e+00 1.207125e-01 [131] 1.136964e+00 3.058484e-01 6.444561e-01 5.469719e-01 1.544504e-02 [136] 2.849040e-01 5.652920e-01 3.660097e-01 2.496901e-01 1.495082e-01 [141] 2.657033e-01 5.266222e-01 5.529642e-01 6.164548e-01 5.172185e-02 [146] 9.790691e-01 1.539999e+00 5.656150e-02 1.107953e-01 4.696793e-01 [151] 1.449408e+00 6.267314e-01 2.862140e-01 7.408383e-01 1.010484e-03 [156] 2.039207e-01 7.904607e-02 3.433500e-01 1.108136e-01 1.406499e-01 [161] 1.248326e-01 1.740172e-01 6.902388e-02 2.275533e+00 9.214910e-02 [166] 9.237819e-01 1.048157e-01 4.958458e-02 1.228798e-01 1.010066e-02 [171] 2.820927e-01 3.360257e-01 2.714063e-01 8.569631e-02 7.528208e-02 [176] 5.695874e-01 4.900905e-01 1.622727e-01 1.949987e-01 4.752169e-01 [181] 5.742401e-01 9.697259e-01 1.485464e-01 7.064496e-02 1.428992e-01 [186] 2.748895e-01 1.553922e-01 1.312894e-01 1.222649e-01 1.697975e-03 [191] 5.335967e-01 7.000586e-01 3.771166e-01 2.827269e-01 2.236342e-01 [196] 8.002945e-02 3.617678e-02 1.153356e-01 3.728839e-01 2.425085e-01 [201] 7.384795e-02 1.899577e-01 1.877765e-01 1.074894e-01 9.138921e-01 [206] 2.932886e-01 5.783179e-01 2.816557e-01 1.045216e-01 1.201555e-01 [211] 2.178406e-01 1.165978e-01 1.374622e-02 4.907701e-01 7.281478e-04 [216] 8.288239e-02 1.050731e+00 2.241123e-02 3.868211e-01 2.231646e+00 [221] 2.376355e-01 2.522139e-01 4.639658e-02 5.696567e-01 3.656868e-01 [226] 2.167810e-01 1.349303e+00 1.709813e-01 3.741111e-01 4.233201e-01 [231] 3.740028e-01 3.050942e-01 4.216566e-02 5.981873e-01 2.474677e-01 [236] 2.442721e-01 3.531160e-01 2.659010e-01 8.134947e-02 7.296300e-02 [241] 1.115370e-03 1.063587e-01 1.494812e-01 8.957084e-02 6.991805e-02 [246] 1.971417e-01 1.325862e-01 1.814141e-02 9.432110e-02 2.287222e-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/3qfvo1228151990.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/1ftt81228151990.ps tmp/1ftt81228151990.png") > system("convert tmp/20n771228151990.ps tmp/20n771228151990.png") > system("convert tmp/3qfvo1228151990.ps tmp/3qfvo1228151990.png") > > > proc.time() user system elapsed 0.809 0.587 0.945