R version 2.7.0 (2008-04-22)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> 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/1ejv11228161194.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 -2 -3 -2 -1 -2 -3 -2 -1 -2 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -2 -3 -4
 [26] -3 -4 -3 -2 -1  0 -1  0  1  2  3  4  5  4  3  2  3  4  5  6  7  6  7  8  7
 [51]  6  5  6  7  8  9  8  9 10  9  8  7  6  7  8  7  8  9  8  7  8  9 10 11 12
 [76] 13 12 13 14 15 16 17 18 17 18 19 18 17 16 17 16 17 16 15 14 15 16 17 16 17
[101] 16 17 18 17 16 17 18 19 20 19 20 21 20 19 18 19 20 19 20 21 20 21 22 23 22
[126] 23 22 23 24 23 22 23 24 23 22 21 20 21 22 23 24 23 24 25 24 23 24 23 24 23
[151] 24 25 26 25 26 27 28 27 28 29 30 31 32 31 30 29 30 31 32 33 32 33 32 31 30
[176] 31 30 29 30 29 30 29 30 29 30 31 30 31 32 33 34 33 32 33 32 31 32 33 34 33
[201] 34 35 34 33 32 33 32 31 30 29 30 29 28 27 26 25 26 27 26 25 24 23 22 21 20
[226] 21 22 21 20 19 18 19 20 19 20 19 20 21 22 23 22 23 22 23 24 23 22 21 20 19
[251] 20 21 22 21 20 21 22 23 22 21 22 23 24 25 24 25 24 23 22 23 22 21 20 19 18
[276] 17 16 15 16 15 14 13 12 11 10  9 10 11 10  9  8  9 10  9 10 11 12 11 12 13
[301] 14 13 14 15 14 15 14 15 16 17 18 19 20 19 20 19 18 19 18 17 16 15 14 13 14
[326] 13 14 13 12 13 12 11 12 13 14 15 14 13 14 15 14 15 14 15 16 17 16 15 16 17
[351] 16 17 16 17 18 17 18 19 18 19 20 21 22 21 22 21 20 21 20 21 20 21 20 19 20
[376] 19 20 19 18 19 18 17 18 17 16 17 16 15 14 13 14 15 14 15 16 17 18 17 18 17
[401] 16 17 18 17 18 19 20 19 18 19 18 17 18 19 20 19 20 21 22 21 20 21 20 21 20
[426] 21 20 19 18 17 18 17 18 17 16 15 14 15 16 17 18 19 20 21 20 19 20 19 20 19
[451] 18 19 18 19 18 17 16 15 14 13 12 11 10  9  8  9  8  9  8  9 10  9 10 11 12
[476] 11 10  9 10  9  8  9 10 11 12 11 12 11 10  9  8  7  6  5  4  3  4  3  4  3
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/2uynr1228161194.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] 5.696284e+03 4.967192e+03 1.983958e+02 6.255861e+01 1.780101e+02
  [6] 4.990255e+02 3.690366e+01 3.300260e+02 2.051131e+02 2.256595e+02
 [11] 1.547152e+02 2.793327e+01 3.778383e+01 1.495097e+02 3.492353e+01
 [16] 2.058372e+01 4.314768e+00 1.252319e+01 6.872077e+01 4.262343e+00
 [21] 3.733165e+00 3.663372e+01 7.617619e+00 4.489025e-01 8.736785e+00
 [26] 5.664292e+00 2.378771e+00 2.626788e+00 3.720598e+00 3.877039e-01
 [31] 2.739959e+00 1.313854e+01 1.897861e+00 5.703018e-01 6.956112e+00
 [36] 9.706353e-01 6.561289e-01 1.612516e+00 5.673364e+00 1.447415e+00
 [41] 2.683234e+00 5.802253e+00 5.114245e+00 1.556165e+00 1.133873e+00
 [46] 7.717895e-01 2.981128e+00 2.147563e+00 5.436884e+00 5.208951e-02
 [51] 3.103589e+00 3.021630e+00 6.467026e+00 1.113104e-01 3.078380e+00
 [56] 5.312345e+00 2.704052e+00 1.162454e+00 2.398552e+00 3.924218e-01
 [61] 1.465935e+00 5.132335e-01 1.500588e+00 1.363405e+00 8.074407e-01
 [66] 9.351528e-01 1.399163e+00 2.166798e+00 6.527879e-01 1.295729e+00
 [71] 1.364009e-02 3.307407e+00 2.189879e-01 6.335646e-01 8.188567e-01
 [76] 1.347044e-01 3.773715e-01 4.920909e-01 1.609654e+00 3.733388e-01
 [81] 1.852244e+00 7.425834e-01 1.675272e-01 2.711790e+00 1.043997e+00
 [86] 8.008847e-01 3.247547e-01 1.552526e-02 1.034881e+00 6.084824e-01
 [91] 8.243413e-01 1.033536e+00 5.468551e-01 7.402615e-01 2.205407e+00
 [96] 1.574406e+00 2.154123e+00 6.420963e-01 1.028564e-01 6.091035e-01
[101] 1.861492e+00 1.032936e-01 3.091341e-01 1.025762e-01 3.650432e-01
[106] 1.128891e-01 1.339227e+00 1.924428e-01 3.663657e-01 3.653894e-01
[111] 2.692506e-01 2.850433e-01 5.030763e-01 1.438676e+00 4.622797e-01
[116] 1.873375e+00 7.647275e-01 1.104259e+00 2.857838e-01 5.685531e-02
[121] 1.964496e-01 1.748092e+00 1.551780e-01 7.623430e-01 2.740324e-01
[126] 2.844787e-01 8.639070e-01 4.693473e-01 7.163430e-01 8.363191e-01
[131] 7.886247e-01 8.475260e-01 8.406837e-01 4.746842e-01 3.537827e-02
[136] 6.498027e-01 2.259852e-01 4.791078e-01 8.227946e-02 8.989671e-02
[141] 3.944007e-02 5.980487e-02 9.715123e-02 9.186231e-02 1.225502e-01
[146] 1.740598e-01 3.105859e-01 5.601160e-01 1.657383e-01 7.604980e-01
[151] 5.066720e-02 1.004005e-01 2.693375e-01 2.387899e-01 5.186447e-02
[156] 1.391625e-02 2.815855e-01 5.667744e-01 6.509660e-01 1.634422e-01
[161] 1.207808e-01 2.132834e-01 5.714068e-01 9.389106e-01 1.947816e-01
[166] 1.418003e-01 7.194753e-02 8.688638e-02 1.080636e+00 4.524138e-01
[171] 5.272738e-01 1.430932e-01 2.847753e-01 8.294541e-02 8.702499e-02
[176] 6.501252e-02 3.449011e-01 2.688026e-01 2.944773e-01 1.805040e-01
[181] 4.444452e-01 1.373406e+00 5.995982e-03 4.172658e-02 9.479249e-02
[186] 1.268479e-01 2.805572e-01 9.964843e-01 3.224546e-01 2.744126e-01
[191] 5.046294e-01 5.360929e-01 3.942579e-01 6.887409e-02 1.511478e-01
[196] 3.132227e-01 5.344934e-02 4.734977e-02 4.278071e-01 6.856944e-03
[201] 3.630125e-01 8.880014e-01 1.124619e-01 4.046314e-01 1.336658e-04
[206] 2.702935e-01 1.584608e-01 9.899103e-02 4.744245e-01 2.730355e-01
[211] 5.980428e-01 6.087113e-01 2.194893e-01 4.986897e-01 1.536619e-01
[216] 7.326909e-01 2.572001e-01 1.553859e-01 4.206796e-01 1.574724e+00
[221] 3.925004e-02 1.844886e-01 1.420724e-01 2.465508e-01 2.437010e-01
[226] 1.404674e-01 3.234164e-02 1.594864e-01 1.781336e-01 4.213674e-01
[231] 5.285009e-03 7.002143e-02 8.378225e-02 3.935896e-03 1.221000e-01
[236] 4.547509e-01 1.411574e-01 6.174055e-01 1.177634e-01 1.552208e-02
[241] 7.338691e-03 2.764491e-03 9.378846e-02 3.807602e-01 8.894823e-03
[246] 4.122332e-01 1.069321e-01 1.723188e-01 5.383988e-02 2.745249e-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/34aql1228161194.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/1ejv11228161194.ps tmp/1ejv11228161194.png")
> system("convert tmp/2uynr1228161194.ps tmp/2uynr1228161194.png")
> system("convert tmp/34aql1228161194.ps tmp/34aql1228161194.png")
> 
> 
> proc.time()
   user  system elapsed 
  1.900   1.013   2.028