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In De proportionibus proportionum ("On Ratios of Ratios") Oresme first examined raising rational numbers to rational powers before extending his work to include irrational powers.
It starts by showing that ratios of lengths can in some cases be invariants, though ratios of ratios of lengths called "cross ratios"—are required in the case of full perspective projection.
Ideally the common reference channels (approximately) cancel out when calculating the ratios (of ratios).
Figure 3 shows the differences between these time points given as ratios, e.g. ratio of metastases/normal bone at week 3 to metastases/normal bone at baseline × 100% (given numbers are thus ratios of ratios).
Similar(56)
To determine the number of transcripts that were preferentially expressed in the eighteen tissues, the ratio of the normalized intensity ratio was calculated for every pair of tissues (ratio-of-ratios) using a Perl script.
The latter formulation reveals the cross ratio as a ratio of ratios of distances.
Through calculation of a ratio of ratios (1/2) for each quantified peptide we filtered out eventual labeling deficiencies and received a ratio that corresponds to (unlabeled drug treated/unlabeled control).
The computed "ratio of ratios" (γ1/γ2) is considered to be equivalent to direct cDNA: cDNA comparisons.
Expression values were log2 ratio of ratios, which is calculated by dividing rim ratio (rim/universal reference) by core ratio (core/universal reference).
To individually compare the ratios of each protein in WT and ESCRT mutant cells during starvation, we analyzed the ratio of ratios.
Note that the log link function transforms the difference-in-differences to a ratio of ratios and the results are in terms of multiplicative effects of team care.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com