R version 2.7.0 (2008-04-22) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. 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/1wsh91228250351.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 -2 -1 0 1 0 1 0 -1 -2 -1 [19] 0 -1 0 1 0 -1 -2 -3 -4 -3 -2 -3 -2 -3 -4 -3 -4 -3 [37] -2 -1 -2 -3 -4 -5 -6 -7 -8 -7 -8 -9 -8 -7 -6 -7 -8 -7 [55] -6 -5 -4 -5 -6 -7 -6 -5 -6 -5 -4 -3 -4 -5 -6 -7 -8 -7 [73] -8 -9 -8 -7 -6 -7 -8 -9 -8 -9 -10 -11 -10 -9 -10 -11 -10 -9 [91] -8 -9 -10 -9 -8 -7 -8 -7 -8 -7 -6 -5 -4 -3 -4 -3 -2 -3 [109] -2 -3 -2 -3 -2 -1 -2 -1 -2 -1 -2 -1 0 1 2 3 2 1 [127] 2 1 2 1 0 -1 0 1 0 1 2 1 0 1 2 3 2 3 [145] 4 5 6 7 6 5 4 5 6 5 6 5 6 7 6 7 8 7 [163] 8 9 10 11 12 11 10 11 12 11 10 9 10 9 10 9 8 9 [181] 10 11 12 13 14 13 12 13 12 13 12 11 12 11 12 13 12 13 [199] 12 11 10 11 10 11 10 9 10 9 10 9 8 7 6 5 4 3 [217] 2 3 2 1 2 1 0 1 0 1 2 3 2 3 2 1 0 1 [235] 0 1 2 1 2 3 4 3 4 3 4 3 4 3 2 1 2 1 [253] 0 1 2 3 4 5 6 7 6 7 6 5 4 3 2 1 2 3 [271] 2 3 2 1 0 -1 0 1 2 1 0 1 2 3 4 3 4 5 [289] 4 3 4 3 4 5 6 7 8 7 6 5 6 5 6 5 4 3 [307] 2 1 0 -1 -2 -1 -2 -3 -4 -3 -2 -1 -2 -3 -2 -3 -2 -1 [325] -2 -1 -2 -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -1 -2 -3 -2 -1 [343] -2 -3 -2 -3 -2 -3 -4 -3 -4 -5 -6 -7 -6 -5 -6 -7 -6 -7 [361] -8 -9 -8 -7 -6 -7 -6 -5 -4 -5 -6 -5 -6 -7 -8 -9 -8 -9 [379] -10 -11 -10 -9 -8 -7 -6 -7 -8 -7 -8 -7 -8 -7 -8 -9 -10 -9 [397] -10 -11 -12 -13 -12 -11 -10 -11 -10 -9 -8 -9 -8 -9 -8 -7 -8 -7 [415] -8 -9 -10 -9 -8 -9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -3 -4 -3 [433] -2 -3 -4 -5 -6 -5 -6 -7 -6 -5 -4 -3 -4 -5 -4 -3 -4 -5 [451] -6 -7 -6 -7 -6 -7 -6 -7 -6 -7 -8 -7 -8 -7 -6 -7 -6 -5 [469] -6 -7 -6 -7 -8 -7 -6 -7 -8 -7 -8 -9 -10 -11 -12 -11 -10 -11 [487] -12 -13 -12 -11 -10 -9 -8 -7 -6 -7 -8 -7 -6 -7 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2epro1228250351.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] 4.335692e+03 2.076205e+03 1.498003e+03 3.049920e+02 2.043931e+01 [6] 2.257428e+02 9.536138e+00 1.067304e+02 1.546554e+01 1.516797e+01 [11] 2.207888e+02 3.447979e+00 2.529614e+01 4.303021e+00 5.415506e+01 [16] 3.544937e+00 1.396518e+01 5.179435e+00 1.320636e+00 4.053353e+00 [21] 9.733907e-01 3.962133e+00 6.052363e+01 2.493534e+01 3.117828e+01 [26] 4.391824e+00 4.390403e+01 5.588457e+00 3.340072e-01 1.107318e+00 [31] 9.104451e-02 1.104370e+01 7.392630e+00 1.079140e+01 2.697639e+00 [36] 4.856777e+00 2.035524e+00 2.782951e+00 2.666048e+00 2.847445e+00 [41] 1.172707e+01 7.077085e-01 2.454101e+00 1.922807e+00 4.016251e-01 [46] 3.678544e+00 1.142305e+00 2.783755e+00 1.190907e+00 4.871620e+00 [51] 6.008130e-03 3.280056e+00 8.691724e-01 3.195299e-01 4.261171e+00 [56] 2.077409e+00 1.502437e+00 3.138205e+00 5.086568e-02 1.968101e-01 [61] 2.488638e+00 2.153775e-01 1.012054e+00 1.693115e+00 8.781800e-01 [66] 9.887919e-01 1.284124e+00 1.550495e+00 1.400448e+00 6.101192e-01 [71] 2.229003e-01 2.705208e-01 6.579434e-01 1.226059e+00 3.156828e+00 [76] 4.750485e-01 1.596804e+00 1.271018e+00 1.123427e+00 1.551584e+00 [81] 2.140943e+00 3.467251e-01 2.449037e-01 1.257680e+00 2.095776e+00 [86] 7.413758e-02 9.596726e-01 1.410825e+00 3.821738e-03 4.779167e-01 [91] 7.473364e-02 2.248009e-01 1.668623e-01 1.543805e+00 7.581558e-01 [96] 6.973371e-02 8.656153e-01 2.517356e+00 1.770543e+00 1.222099e+00 [101] 1.160840e+00 5.917790e-01 8.006796e-01 9.262697e-01 9.283439e-01 [106] 4.216609e+00 7.683532e-01 7.051796e-01 1.162673e+00 4.892429e-01 [111] 9.507543e-01 3.873526e-01 1.255720e-01 4.810584e-02 8.468485e-01 [116] 4.666298e-01 2.516408e+00 3.937452e-01 1.200049e+00 1.764065e-01 [121] 3.151426e-01 1.917449e-01 1.252816e-02 1.392606e-01 2.017093e-01 [126] 3.490167e-01 8.391820e-01 7.880090e-03 5.076732e-03 2.356177e-01 [131] 2.418555e-01 1.243680e+00 2.028425e-01 1.617917e-01 2.950423e-01 [136] 1.600503e-03 1.080732e+00 4.843911e-01 5.080978e-01 8.101203e-02 [141] 3.552344e-01 5.132049e-02 2.770683e-01 1.588628e-01 5.365203e-01 [146] 9.494163e-04 6.000420e-01 3.828362e-02 7.498188e-01 7.847882e-01 [151] 6.171016e-01 5.822353e-02 1.597083e-01 3.856214e-01 1.038621e-01 [156] 9.203396e-02 4.487813e-01 7.078389e-01 3.960425e-01 3.427865e-01 [161] 3.190069e-01 1.244290e-01 1.507297e-01 1.203757e-01 1.294134e-01 [166] 1.656338e+00 1.247219e-01 9.610210e-02 4.420133e-01 1.527950e-01 [171] 8.114551e-01 4.755444e-02 7.892519e-01 2.179907e-01 2.323262e-01 [176] 8.139408e-03 9.601886e-03 3.027130e-02 8.398368e-02 1.599610e-01 [181] 3.274965e-01 4.769023e-01 9.604889e-02 4.951687e-01 6.809311e-01 [186] 4.241098e-01 5.337954e-01 3.571854e-01 1.523988e-01 3.047045e-01 [191] 2.269397e-02 1.083075e-01 4.666910e-01 9.577707e-02 1.534787e+00 [196] 1.953043e-01 1.873042e-01 1.906428e-01 3.158153e-02 1.001504e-01 [201] 3.552341e-01 3.312025e-01 3.088615e-01 1.860488e-02 4.533198e-01 [206] 1.296940e-01 1.162028e-01 2.372130e-01 7.840734e-02 2.962205e-01 [211] 3.283810e-02 2.600785e-02 6.960172e-02 4.107223e-01 1.751027e-01 [216] 2.133360e-02 2.226478e-01 2.768370e-01 2.487001e-01 4.325636e-01 [221] 3.555458e-01 9.219413e-03 5.640403e-02 7.411489e-01 1.332342e-01 [226] 5.138828e-01 3.467599e-01 5.819718e-01 1.772220e-01 4.644435e-01 [231] 7.872812e-01 5.639091e-01 6.104489e-02 4.117794e-01 3.022666e-01 [236] 4.677066e-02 2.733270e-01 8.480417e-01 5.137658e-02 1.851569e-01 [241] 5.963455e-01 2.233708e-01 2.443607e-01 1.567204e-02 3.146740e-01 [246] 8.770685e-03 7.994016e-02 6.780690e-03 5.264415e-02 1.092329e-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/3ckq61228250351.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/1wsh91228250351.ps tmp/1wsh91228250351.png") > system("convert tmp/2epro1228250351.ps tmp/2epro1228250351.png") > system("convert tmp/3ckq61228250351.ps tmp/3ckq61228250351.png") > > > proc.time() user system elapsed 2.731 1.032 2.877