We will issue a free software update within a few weeks that incorporates the corrected formula.
They show, however, that the corrected formula (the binned magnitudes; as employed in this paper by zmap) will strongly reduce the biases of the b-value and its uncertainty; however, the influence of the measurement errors appears negligible compared to the effects of the binned magnitudes: (2 where Mmean denotes the mean magnitude, and Mmin the minimum magnitude, of the employed catalogue.
The use of the corrected formula required the knowledge of the long-term specificity, which varies with the window period.
The corrected formula is shown here: P R (X, Y | Z ) = C X, Y - C X, Z C Y, Z 1 - C X, Z 2 1 - C Y, Z 2 We regret any inconvenience these errors may have caused.
The application of these corrected formulas may improve the consistency of hue as a metric of color and facilitate its use in comparative studies.
When applied to infinite-dimensional modal boundary discontinuities, the method of orthocomplement eliminates the Gibbs oscillations that affect the ordinary spectral sums, and produces the same corrected formulae as it did for finite-dimensional examples.
The following corrected formula substitutes for formula (1) as printed on page 2 of the article by Schäfer et al. [1].
LVM was calculated from the ASE corrected formula (6).
CV was calculated using the sample-size corrected formula (see 32 for details): (1+1/4n) (s/u̅)(100), where n is sample size, s is the standard deviation and u̅ is the mean.
For instance, use of homologous series to project properties of lower hydrocarbons on to higher ones are not affected if the number of carbon atoms in the correct formulae are doubled, which results from taking 6 as the relative atomic weight of carbon, as many of the contemporary organic chemists did.
