Figure 19: Various -functions. Dotted green line: the “Bekenstein” function of Eq. 46.
Dashed red line: the “simple” function of Eq. 46 and Eq. 49. Dot-dashed black line: the
“standard” function of Eq. 49. Solid blue line: the -function corresponding
to the -function defined in Eq. 52 and Eq. 53. The latter function closely retains the virtues of
the simple function in galaxies ( ), but approaches 1 much more quickly and
connects with the standard function as .
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