Recall that <math>\beta</math> is a function of z, and r is sensitive to the mass-energy density fraction.
Recall that <math>\beta</math> is a function of z, and r is sensitive to the mass-energy density fraction.
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Hartnett plotted the difference <math>M-M_B</math> against redshift for the supernovas studied most recently by Riess and Astier<ref name=Riess/><ref name=Astier/>. He then adjusted the parameters <math>a</math> and <math>\Omega_m</math> to achieve the best statistical fit to the observations. He obtained these values:
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Hartnett plotted the difference <math>M-M_B</math> against redshift for the supernovas studied most recently by Riess and Astier<ref name=Reiss/><ref name=Astier/>. He then adjusted the parameters <math>a</math> and <math>\Omega_m</math> to achieve the best statistical fit to the observations. He obtained these values: