R version 2.8.0 (2008-10-20) 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. > 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/10srn1228229200.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 2 3 4 5 6 7 6 5 4 3 4 5 [19] 6 5 4 3 2 3 2 1 2 3 2 1 2 3 2 3 2 3 [37] 4 5 4 5 6 7 8 9 10 9 10 9 8 7 8 9 8 7 [55] 8 7 6 5 4 5 6 7 6 5 6 7 8 9 10 9 8 9 [73] 8 9 10 11 12 11 10 11 12 11 12 13 14 13 12 13 14 13 [91] 14 15 14 15 14 15 16 15 14 15 14 13 14 13 14 15 16 15 [109] 14 13 14 13 14 13 14 13 14 15 16 17 16 17 18 17 16 15 [127] 14 15 14 13 14 15 16 17 16 17 16 17 18 17 16 17 18 17 [145] 16 17 16 15 16 15 14 15 16 15 14 13 12 11 10 11 12 13 [163] 14 15 14 15 14 13 14 13 14 13 12 13 14 13 14 13 12 11 [181] 10 9 10 9 10 9 10 9 8 9 10 11 12 11 12 11 10 9 [199] 10 9 10 11 10 11 12 13 12 11 10 9 8 9 8 9 8 7 [217] 6 5 4 5 6 7 8 9 8 9 10 9 10 9 8 9 8 7 [235] 8 9 8 9 10 9 10 11 12 11 10 9 8 9 8 7 8 9 [253] 10 9 10 11 10 9 8 9 8 7 8 9 8 9 10 11 10 9 [271] 8 7 6 7 8 9 8 7 6 5 4 3 4 3 4 3 4 5 [289] 4 3 4 3 2 1 0 1 2 3 4 5 4 3 4 3 4 5 [307] 6 7 6 7 6 7 6 5 4 3 2 1 2 3 4 5 4 3 [325] 4 3 4 3 4 5 6 5 6 5 6 5 4 3 4 3 2 3 [343] 4 3 2 3 4 3 4 5 4 3 2 1 0 -1 -2 -3 -2 -1 [361] -2 -1 -2 -1 0 1 0 -1 0 1 2 3 4 5 6 5 4 3 [379] 2 1 0 -1 -2 -3 -2 -1 -2 -1 0 1 2 1 2 1 0 -1 [397] -2 -1 0 -1 -2 -1 -2 -1 0 1 2 1 0 1 0 -1 0 1 [415] 0 1 2 1 2 3 4 3 4 3 4 5 4 3 4 3 4 3 [433] 2 1 0 1 0 1 0 1 0 1 0 -1 -2 -3 -2 -3 -4 -5 [451] -6 -7 -6 -5 -6 -5 -6 -5 -6 -5 -4 -5 -6 -7 -6 -7 -8 -7 [469] -6 -7 -8 -7 -8 -9 -10 -9 -8 -9 -8 -7 -8 -9 -8 -9 -8 -7 [487] -8 -9 -10 -9 -8 -7 -8 -9 -10 -11 -12 -11 -10 -9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2r3z61228229200.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] 1.339244e+03 6.506997e+02 3.338165e+02 1.317059e+02 8.353915e+01 [6] 2.998429e+02 3.061816e+01 6.065201e+01 8.257506e+01 1.232321e+01 [11] 8.054062e+00 4.812528e+01 2.211933e+01 2.666230e+01 5.397763e+01 [16] 2.203360e+01 2.334710e+01 1.021796e+01 9.898302e+00 2.699594e+01 [21] 9.875862e+00 1.517384e+01 1.813356e+01 1.816595e+01 1.393111e+01 [26] 5.790898e+00 2.477748e+00 1.404227e+01 6.898672e+00 1.767435e+01 [31] 1.088619e+00 3.172356e+00 2.007830e+01 5.032926e+00 7.877014e+00 [36] 5.826878e+00 1.741899e+01 8.172384e+00 1.393661e+00 1.813766e+00 [41] 8.294129e+00 3.742234e+00 1.235518e+00 2.366663e+00 1.094965e+01 [46] 1.732532e+00 1.376542e+01 4.935231e+00 4.840005e+00 1.831590e+00 [51] 5.135184e+00 3.583466e-01 3.234512e-01 2.903861e-01 9.925908e-01 [56] 1.388513e+00 2.547085e-01 8.771852e-02 1.603134e+00 2.515761e-02 [61] 2.384203e+00 2.588251e+00 1.546140e+00 1.396777e-02 9.783748e+00 [66] 2.171277e+00 2.356898e+00 7.122894e-01 2.796310e+00 3.738721e+00 [71] 6.998667e-01 3.055835e-01 8.487355e-01 1.194808e-01 9.278228e-01 [76] 4.444123e-01 5.415087e-01 2.220668e-01 3.136614e-01 1.104400e+00 [81] 2.833833e-01 9.514896e-03 2.171200e-01 3.909740e-01 3.374044e-01 [86] 1.546630e-01 2.167272e-01 1.250677e-01 1.052274e+00 4.806918e-01 [91] 1.108728e+00 4.975782e-01 1.293508e-02 2.020425e-01 8.140075e-01 [96] 5.570459e-01 1.282081e+00 1.884476e-01 1.079990e+00 5.975413e-01 [101] 6.730714e-01 6.129989e-01 1.758408e-01 1.559722e+00 6.784257e-01 [106] 1.996096e-01 7.470775e-02 4.186495e-01 4.392240e-01 1.233935e+00 [111] 9.631861e-02 1.034837e-01 6.861290e-02 6.689816e-02 1.532115e-01 [116] 1.524414e+00 2.640560e-01 2.842350e-01 2.456530e-01 6.576805e-01 [121] 1.916374e-01 3.465113e-01 1.077161e+00 3.675724e-02 4.017527e-01 [126] 2.292387e+00 2.006172e+00 1.083623e+00 2.162337e-01 1.518557e-01 [131] 3.825402e-01 5.068391e-01 2.672753e-01 6.105432e-01 5.880149e-01 [136] 8.871589e-02 8.088966e-01 2.949495e-01 9.102003e-01 6.652526e-01 [141] 1.720329e-01 3.647352e-01 2.564462e-01 1.507271e+00 8.799151e-02 [146] 3.994844e-01 8.052179e-02 4.035949e-01 6.772074e-01 5.261237e-01 [151] 1.246121e-01 4.591150e-01 4.385424e-01 1.869825e-01 4.919353e-01 [156] 3.980225e-02 2.574485e-01 4.987777e-01 1.281156e-02 1.531374e-02 [161] 5.196247e-01 7.179692e-01 1.763239e+00 1.670592e-01 1.458628e-01 [166] 5.918350e-01 2.276393e-01 4.376275e-01 2.099206e-02 1.353253e-03 [171] 5.774069e-02 1.830675e-01 1.732759e-01 1.107479e+00 4.174112e-01 [176] 3.239110e-01 2.807285e-01 5.336630e-01 5.178585e-02 8.777768e-01 [181] 3.141890e-01 3.667771e-01 4.288612e-01 5.263156e-02 8.109775e-01 [186] 1.503098e-01 3.426226e-01 3.101367e-01 3.433315e-01 3.176634e-02 [191] 9.211482e-02 5.216216e-01 1.329826e-01 4.064418e-02 2.650341e-02 [196] 2.403029e-01 3.722404e-01 1.466998e-01 1.447864e-02 1.322943e-02 [201] 3.061278e-02 2.813057e-01 8.165281e-01 4.168999e-01 9.001867e-02 [206] 8.846669e-02 5.040779e-01 1.765492e-01 2.423602e-02 3.576554e-01 [211] 1.190656e-01 3.255057e-01 4.471808e-02 5.034502e-01 5.698831e-02 [216] 5.464806e-01 4.642258e-02 3.748143e-02 2.476921e-01 2.593215e-01 [221] 2.691959e-01 3.031828e-01 2.756213e-01 2.004858e-01 3.660330e-01 [226] 9.393470e-02 1.870431e-01 2.767931e-01 2.227472e-01 3.394049e-01 [231] 2.147671e-02 2.236654e-01 9.568600e-02 5.148394e-01 4.015804e-01 [236] 2.261417e-01 1.039638e-01 7.242411e-02 1.365635e+00 3.508020e-01 [241] 2.454392e-01 2.824719e-01 5.063384e-01 3.419813e-01 1.342824e-01 [246] 1.371195e-01 9.136200e-02 1.510644e-01 4.911931e-02 7.104436e-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/3z6r91228229200.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/10srn1228229200.ps tmp/10srn1228229200.png") > system("convert tmp/2r3z61228229200.ps tmp/2r3z61228229200.png") > system("convert tmp/3z6r91228229200.ps tmp/3z6r91228229200.png") > > > proc.time() user system elapsed 0.807 0.589 0.943