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The first component is shown to equal the Friedman rank statistic corrected for ties.
In particular, the linear dimension of the commutant, Aϕ="{Mϕ,Mϕ⁎}′, is shown to equal the number of connected components of the Riemann surface, ϕ−1∘ϕ.
The mean residence time of material in any arbitrarily defined internal region of a continuous flow system is shown to equal the holdup in that region divided by the flow rate through the system as a whole: it is thus independent of the flow rate through the region itself and the manner in which the region connects with the remainder of the system.
The length of a zone Z i, denoted by S Z, is defined as | V l 2 − V l 1 | (which can be readily shown to equal the average length of the two horizonal boundaries of the zone).
The four SI groups have been shown to equal our recently suggested BD-based classification.
Oxaliplatin has been shown to equal the efficacy of cisplatin in this clinical setting (Al-Batran et al, 2008; Cunningham et al, 2008).
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The heat Q transferred in an exchanger may be shown to be equal to.
And Allegra, produced by Aventis, was recently shown to be equal to Zyrtec -- in a study sponsored by Aventis.
This graph invariant is shown to be equal to the size of the largest star subgraph in the graph.
The dispersion coefficient K is shown to be equal to Ko/Π, where K is its inlet value.
Reactivity ratios were determined by several methods and shown to be equal to rAA = 2.6 and rVAc = 0.04.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com