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Discover LudwigExact(1)
Use the reasoning that given that non-renewable resources are finite and over time will vanish, proper remedies must be taken.
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The set of products of harmonic functions on Ω which vanish on a closed proper subset Γ ⊊ ∂ Ω of the boundary is dense in L 1.
It is easy to see that PAP 0 ( R N X X ) is a closed subspace of BC ( R N X X ) and it contains the space of functions which vanish at infinite as a proper subspace.
"The need for collecting large campaign funds would vanish if Congress provided an appropriation for the proper and legitimate expenses of each of the great national parties," President Theodore Roosevelt — that scurrilous Republican radical — told Congress in 1907.
During his election campaign, Mr Abbas said some foolish things referring to Israel as "the Zionist enemy", equivocating on terrorism and suggesting that the refugees of 1948 would one day return to their vanished homes in Israel proper.
While the study showed some health improvements for the primary cook in the household during the first year after installation, the effect vanished over time as proper use and maintenance of the new stove declined.
Any words of wisdom, gleaned from Peter during my practise session, vanish as soon as I pluck up the courage to join in a proper game.
You vanish.
Texts vanish.
I vanish.
"Words vanish.
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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