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Similarly, the essential Proposition 1.2 in [1] is useless for the maximal Hilbert transform.
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But its essential value proposition — a higher-performing, high-margin product — has not changed.
Our faith in that essential liberal proposition is under attack by our own humanitarian impulses in the stem cell debate, and it will be under further attack as biotechnology progresses.
Obviously, Example 3.4 can also show that the weak domination property of is essential for Proposition 3.8.
Yet it's hard not to worry that if medicine goes in the direction of the Cheesecake Factory, where care is administered on the cheap by customer-service technologists plugging data into an algorithm, then an ancient and noble profession will face extinction because of an inability (some might say a haughty unwillingness) to adequately contemplate and communicate its essential value proposition.
Arguably, it is essential to the proposition that Ava believes the proposition expressed by an utterance of (2)—that it is about Jospin and the property of being a Socialist.
But his first priority is regime survival and national security, and for that, he considers the nuclear deterrent is to be essential (a rational proposition, sadly).
"On the contrary, our decision affirms a proposition essential to the integrity of the capital markets: borrowers and lenders may, under New York law, negotiate mutually agreeable terms for their transactions, but they will be held to those terms.
If what is essential to the proposition that Ava believes is that it is about Hesperus and the property of shining, how can she believe one thing and fail to believe the other since both are about Hesperus?
The court directly addressed two propositions essential to the City's claims to secrecy.
A few questions in this week's Essential Report place this proposition in stark relief.
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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