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Whenever two unknown quantities are found in final equality, there results a locus fixed in place, and the endpoint of one of these unknown quantities describes a straight line or a curve.
By means of this construction Fermat was able to formulate the fundamental principle of analytic geometry: Whenever two unknown quantities are found in final equality, there results a locus fixed in place, and the endpoint of one of these unknown quantities describes a straight line or a curve.
where the final equality follows from (31).
where the final equality is due to (31) and (32).
where the first equality follows from (13) and the final equality follows from the definition of the lower incomplete gamma function.
end{aligned} (10) In Eq. (9), (M_{2}^{(0)}) is the second moment of the non-interacting density of states, and the final equality follows from the semicircular density of states of the Bethe lattice.
Similar(52)
In this essay, Schutz is concerned not to present a final definition of equality, but to highlight the differences between in-group and out-group understandings that serve as the preconditions of any discussion about it.
"And I think the final frontier [of equality] is on the side of commerce".
When someone as well-heeled as Child invokes his brush with discrimination and systematic oppression in a final plea for equality, it comes off as self-serving.
From married couples of varying genders and sexual preferences, to even dogs of varying breeds Parrott seems to be looking for a new frontier outside of the space program— the final frontier of equality on the Internet— and finding it in cartoon people.
The door is always open for more voices and support as we enter the final stretch towards marriage equality.
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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