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The limits Kρ,ωmay not always exist, and necessary and sufficient conditions for their existence seem to be hard to find.
Surname recognition methods rely on low levels of interethnic marriages and the existence of distinctive surname nomenclatures (which do not always exist for some ethnic groups, eg, Black populations in the USA).
Administration officials acknowledged that such data did not always exist.
The mathematical solution of a control problem may not always exist.
Breeds as they are known today did not always exist, and many are of recent origin.
You could apply it to almost anything, any sort of situation or structure that exists and may not always exist".
Their predictions now face a market discipline that did not always exist before the Internet came along.
And in a market where demand outstrips supply, the option to go elsewhere does not always exist.
Graduates will surely prove gifted code-writers, Mr. Neveu said, but may find themselves restricted to an "extremely precise niche" that may not always exist.
Beamer, who played cornerback for Virginia Tech from 1966 to 1968, was afforded the patience that does not always exist in today's win-now-or-else era.
The second potential outcome to which Dean alludes -- that the Democratic Party, per se, might not always exist in America -- might sound, coming from Dean, characteristically overwrought.
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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