Distribution of flux Sample Clauses

Distribution of flux. − In Fig. 5 and Table 2 we show the distribution of flux per pixel for all spectra through the box, the flux probability distribution function (PDF). The flux PDF is the number of pixels in each range of flux, or flux bin, divided by the total number of pixels and then divided by the bin width, which is 0.05. We have 1024 pixels per spectrum and 2000 spectra per redshift. Using this common definition, the values depend on the bin width. Our bins are all the same width starting with the first bin at flux 0 <F < 0.05 with a centre at 0.025, and a last bin at 0.95 < F < 1.0. Our bin centres and the widths of two of our bins differ from Xxx et al. (2007) and Xxxxxx et al. (2008) who choose a first bin at flux 0.025 <F < 0.025 with a centre at 0, and a last bin at 0.975 < F < 1.025 with a centre at 1.0. Since they divided all their bins by the same constant 0.05 (Xxx, private communication), their flux PDF changes slope abruptly in the first Table 2. The flux PDF at different redshifts. The first column is the flux in the bin centre, while the remaining columns give the flux PDF values under the listed redshifts. All bins have a width of 0.05, starting with the first bin from flux 0 to 0.05. The PDF values in the bulk of the table are the fraction of pixels with flux value in the bin, divided by 0.05. The flux PDF values in each column sum to 1/0.05. Flux Redshift 1.6 1.3 1.0 0.7 0.4 0.1 0.025 0.236 0.175 0.110 0.080 0.057 0.0354 0.075 0.057 0.040 0.024 0.015 0.011 0.0069 0.125 0.054 0.036 0.023 0.014 0.009 0.0062 0.175 0.054 0.038 0.023 0.014 0.010 0.0063 0.225 0.057 0.039 0.025 0.016 0.010 0.0070 0.275 0.059 0.040 0.026 0.017 0.011 0.0066 0.325 0.066 0.045 0.030 0.019 0.012 0.0072 0.375 0.073 0.050 0.034 0.022 0.014 0.0086 0.425 0.084 0.055 0.040 0.025 0.015 0.0091 0.475 0.095 0.066 0.047 0.031 0.019 0.0100 0.525 0.110 0.077 0.056 0.036 0.023 0.0128 0.575 0.131 0.093 0.066 0.046 0.030 0.0164 0.625 0.162 0.114 0.081 0.054 0.037 0.0194 0.675 0.207 0.143 0.105 0.070 0.047 0.0261 0.725 0.269 0.188 0.140 0.094 0.063 0.0348 0.775 0.376 0.263 0.193 0.131 0.091 0.0523 0.825 0.563 0.396 0.291 0.198 0.140 0.0849 0.875 0.972 0.693 0.511 0.339 0.250 0.1543 0.925 2.174 1.620 1.197 0.838 0.598 0.3848 0.975 14.201 15.828 16.970 17.937 18.551 19.1107 and last bins, being a factor of 2.0 below the value that we infer for flux zero and 1.0. We do not follow their definition because it is unexpected and hides trends. = = In Fig. 5 we see a smooth and continuous change in the sh...
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