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What's the value, exactly, of those 33 million Facebook fans?
This map is none other than the restriction map from linear functionals on V to linear functionals on U; the kernel of this map consists exactly of those linear functionals that vanish on all of U.
For example, one may consider the idea that whenever there are some things, there exists a whole that consists exactly of those things i.e., that there is always a mereological sum (or "fusion") of two or more parts.
The closure of the set of polynomials in A β is denoted by A β, 0, which is a separable Banach space and consists exactly of those functions f in A β satisfying the condition lim | z | → 1 − ( 1 − | z | 2 ) β | f ( z ) | = 0.
That said, we just can't decide if it's the darker intelligence in the actor's unblinking eyes or the incredibly detailed follicle work on wax-Brad's head that reminds us exactly of those prehistorical reenactment booths at the Natural History Museum... but we'll leave the voting to you.
The closure of the set of polynomials in A β is denoted by A β, 0, which is a separable Banach space and consists exactly of those functions f in A β such that lim | z | → 1 - (1 - | z | 2 ) β | f (z ) | = 0.
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In the last contest held before the rise of the modern primary, just 15 states let voters pick delegates; Hubert Humphrey won exactly zero of those primaries.
But it has never said what exactly each of those updates contained.
Exactly zero of those answering from Birmingham said the same thing about Aston.
"It doesn't match exactly any of those three, but those are the three nearest to it.
Exactly 60% of those from Aston university, which came 22nd in the Guardian's table, identified Birmingham as their peer.
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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