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The phrase "defined with reference to" is correct and usable in written English.
You can use this phrase when you are providing an explanation as to how something is classified or identified. Example: The species of fish in this lake can be defined with reference to their distinctive color patterns.
Exact(43)
While closest to multifunctionality in definition, pleiotropy (the ability of a gene to influence multiple phenotypic traits) is not typically used to refer exclusively to molecular traits and is usually defined with reference to the effect of mutation on phenotype.
The CI was defined with reference to the concentration curve, on which the x-axis referred to the cumulative percentage of the sample, ranked by living standards beginning with the poorest and on which the y-axis to the cumulative percentage of the health variable corresponded to each cumulative percentage of the distribution of the living standard variable.
And I'd have avoided the cultural trivia: Hanukkah need not be defined with reference to Adam Sandler's "Hanukkah Song," and Moses does not, in fact, "figure in" William Faulkner's "Go Down, Moses".
Each theme is described below and defined, with reference to illustrative excerpts taken from each Dataset.
During electrical tests, bias polarity was defined with reference to the Pt bottom electrode.
The bias polarity is defined with reference to the bottom Pt electrode.
Similar(17)
For Mr. Bush, values are defined with references to church, marriage between men and women, and restrictions on abortion.
Irigaray's affirmation of sexual difference does not mean affirming the feminine traits that have been ascribed to women, since these are actually, in her view, the traits of sexual indifference, defined only with reference to men.
If he is right, and goodness cannot be defined wholly with reference to concepts from the empirical sciences, then goodness is a sui generis notion, i.e., is one that can only be understood in its own, evaluative terms.
The frequency separation, denoted as Δ = 2l/G for l = 1, 2, …, L < G, is defined with reference frequency ν m ∼ U μ m - 1 / 2 G, μ m + 1 / 2 G with μ m =0.3 so that the spatial frequencies of the two sources are given by ν1 = ν m - Δ/2, ν2 = ν m + Δ/2.
Conventional measurements define poverty with reference to national or individual income.
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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