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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/1pfsb1227870267.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 5 6 5 6 5 4 5 6 7 8 7 [19] 8 7 6 5 6 7 8 9 8 9 8 9 10 9 10 9 8 7 [37] 8 9 8 7 6 7 8 9 8 7 6 5 4 5 4 3 4 3 [55] 4 3 4 5 6 5 4 3 4 5 4 3 4 5 6 5 4 5 [73] 6 5 6 7 6 5 6 5 4 5 4 3 4 5 4 3 4 3 [91] 4 5 6 7 6 7 6 7 8 9 10 9 10 11 12 13 12 13 [109] 14 15 16 17 18 17 18 17 16 15 14 13 12 11 10 9 10 9 [127] 8 9 8 7 6 5 6 7 6 7 8 7 8 7 6 7 8 9 [145] 8 9 10 11 10 11 12 11 12 13 12 13 14 13 12 13 12 11 [163] 10 11 12 11 12 11 12 11 12 11 10 9 8 7 8 7 6 7 [181] 6 7 8 7 6 5 4 3 4 3 4 3 4 5 6 7 6 5 [199] 6 5 4 3 4 5 4 3 2 3 2 1 0 1 0 -1 0 1 [217] 0 -1 0 1 0 1 0 1 0 1 0 1 2 1 2 3 4 3 [235] 2 1 2 3 4 5 4 3 4 3 2 3 2 3 2 1 2 1 [253] 0 1 0 -1 -2 -1 -2 -1 -2 -3 -4 -5 -4 -5 -6 -5 -6 -5 [271] -4 -3 -4 -5 -4 -5 -4 -5 -6 -7 -8 -7 -6 -5 -6 -7 -6 -7 [289] -6 -5 -6 -5 -6 -7 -8 -9 -10 -9 -10 -9 -8 -7 -6 -7 -6 -7 [307] -8 -7 -6 -7 -8 -9 -8 -9 -8 -7 -8 -9 -8 -7 -6 -5 -4 -3 [325] -2 -1 0 -1 -2 -3 -2 -1 -2 -3 -4 -5 -4 -5 -6 -7 -6 -7 [343] -6 -7 -8 -9 -8 -9 -8 -7 -6 -5 -6 -5 -6 -5 -6 -5 -6 -5 [361] -6 -7 -8 -7 -8 -9 -8 -7 -6 -7 -6 -5 -6 -7 -6 -7 -8 -7 [379] -8 -7 -8 -7 -6 -5 -6 -7 -8 -7 -8 -7 -8 -7 -8 -7 -6 -7 [397] -8 -7 -8 -7 -8 -7 -8 -9 -8 -9 -10 -11 -10 -9 -10 -9 -10 -9 [415] -10 -11 -12 -11 -12 -11 -12 -11 -10 -11 -12 -11 -10 -11 -10 -11 -12 -13 [433] -12 -13 -14 -15 -16 -17 -18 -19 -18 -19 -20 -21 -20 -21 -22 -23 -22 -23 [451] -24 -23 -24 -25 -24 -25 -26 -27 -26 -27 -28 -27 -28 -29 -28 -29 -30 -29 [469] -30 -29 -30 -29 -30 -29 -30 -31 -30 -29 -30 -29 -28 -29 -30 -31 -32 -31 [487] -30 -29 -28 -29 -30 -31 -30 -29 -30 -31 -32 -33 -32 -33 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2js8r1227870267.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] 1.389552e+03 1.761267e+03 1.760377e+02 6.555553e+02 2.921872e+02 [6] 4.494620e+02 4.127818e+01 1.549574e+02 1.212307e+02 2.343427e+00 [11] 1.799689e+02 1.774015e+02 1.779255e+01 4.595482e+01 4.182238e+00 [16] 3.219466e+01 6.847663e-01 2.963933e+00 2.480949e+01 1.502062e+01 [21] 8.048073e+00 2.578740e+00 9.168669e+00 6.172542e+00 6.393876e+00 [26] 3.917130e+00 6.374833e-01 1.027067e+01 1.080175e+01 1.745903e+00 [31] 4.400760e+00 8.840382e+00 4.729674e+00 2.320075e-01 7.352495e+00 [36] 3.864304e-01 1.175948e+01 6.378228e-01 8.605079e-01 1.250901e+00 [41] 3.556362e-01 3.420398e+00 3.985151e+00 2.559624e+00 4.063219e+00 [46] 8.056602e-01 7.822578e-01 7.937926e-01 3.635895e+00 2.741756e+00 [51] 3.540828e+00 3.210442e-01 2.237824e-01 1.155832e+00 4.486333e-01 [56] 5.478292e-02 1.027488e-01 5.492177e+00 1.432666e+00 1.704959e+00 [61] 1.748897e-01 8.251812e-01 3.677887e-01 6.792914e-01 1.234778e-01 [66] 3.042602e-01 1.969397e+00 5.449164e-02 5.223836e-01 4.630013e-03 [71] 4.437302e-01 2.025886e+00 3.569327e-01 9.015344e-02 6.055927e-01 [76] 5.667733e-01 7.388783e-01 2.115062e-01 2.710341e+00 1.770911e+00 [81] 2.433190e+00 1.575044e+00 1.021532e+00 9.968842e-01 1.348947e-01 [86] 3.701274e-01 2.742915e-01 5.936199e-01 1.146839e+00 3.518985e+00 [91] 4.966500e-01 1.249476e+00 3.516877e-01 5.672976e-01 6.515089e-01 [96] 1.231217e-01 1.367434e+00 1.458586e-01 1.799548e-01 1.213646e+00 [101] 2.520497e-01 1.903479e-01 3.924685e-01 1.682041e-01 3.107150e-01 [106] 1.462425e+00 5.872266e-01 2.277574e-01 1.452679e-01 8.390734e-01 [111] 6.719512e-01 2.470135e-02 8.973505e-02 1.548707e+00 1.086577e+00 [116] 6.686789e-01 2.409581e-01 1.103363e+00 2.394380e-01 2.538590e-01 [121] 3.187467e-01 4.150328e-01 5.234069e-02 3.776611e-01 5.767194e-01 [126] 1.087026e+00 1.845101e-03 1.178580e+00 9.668902e-01 5.278354e-02 [131] 2.562878e-01 6.562073e-02 6.113681e-01 1.170041e-01 7.468603e-01 [136] 4.430781e-01 5.285292e-01 1.387394e-01 1.801872e+00 8.174276e-01 [141] 5.614315e-01 4.250293e-01 1.991146e-03 6.131860e-01 1.623995e+00 [146] 2.730016e-01 8.535950e-01 9.759427e-03 5.825531e-01 2.846750e-01 [151] 8.486394e-02 4.339960e-02 7.709245e-01 2.247392e+00 1.359175e-01 [156] 9.592151e-02 8.625485e-01 4.837691e-01 4.213684e-02 1.296729e-01 [161] 1.442018e-01 1.792972e-01 3.806428e-02 3.560832e-01 1.345595e-01 [166] 2.026503e-01 4.168815e-01 2.952271e-01 7.846092e-01 8.371921e-02 [171] 1.356326e-01 1.855147e-01 2.720999e-01 1.712049e+00 3.274446e-01 [176] 1.078069e-01 2.104141e-01 2.456626e-01 3.442113e-01 5.318479e-02 [181] 8.959005e-02 3.490836e-01 4.510199e-01 7.087217e-01 1.135275e-02 [186] 1.521272e-01 1.889603e-01 3.940072e-01 3.585943e-02 4.461071e-02 [191] 4.522384e-01 4.480258e-01 1.171768e-01 1.818044e-01 4.511095e-01 [196] 1.301357e-01 7.935399e-02 1.253901e-01 4.073714e-01 1.850442e-01 [201] 3.931918e-01 7.031443e-02 1.807452e-01 9.522495e-01 1.432720e-01 [206] 3.548568e-01 7.797140e-01 2.723259e-01 8.008484e-01 5.870199e-01 [211] 4.863934e-01 9.553012e-02 1.897298e-01 1.719549e-04 2.311162e-01 [216] 1.059963e-01 1.834546e-01 1.353959e-01 6.616345e-01 1.877690e-01 [221] 1.636649e-01 1.233581e-01 1.417148e-01 7.077573e-01 1.899729e-01 [226] 1.539378e-01 4.097694e-01 2.439418e-01 4.115052e-02 7.002267e-02 [231] 3.906493e-01 3.271669e-01 8.072940e-01 5.212424e-01 4.834599e-01 [236] 6.808335e-01 1.933033e-02 1.781186e-01 2.227528e-02 1.539844e-01 [241] 3.997666e-01 5.466101e-01 3.248889e-03 3.850668e-01 1.612750e-01 [246] 1.159990e+00 4.727417e-01 1.023370e-01 2.537769e-01 6.089555e-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/3b6u71227870267.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/1pfsb1227870267.ps tmp/1pfsb1227870267.png") > system("convert tmp/2js8r1227870267.ps tmp/2js8r1227870267.png") > system("convert tmp/3b6u71227870267.ps tmp/3b6u71227870267.png") > > > proc.time() user system elapsed 0.816 0.601 1.314