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It's almost like how, in war, you go through this bloody, dehumanizing thing, and then something is defined out of it".
For instance: their precise representative is defined out of a null p -capacity set, exactly as W 1, p -functions; see Theorem 16 below.
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At the very least, this possibility should not be defined out of existence.
On the other hand, the priority weights of attributes are defined out of the internal mechanism of DEA by AHP.
Hájek (2003) argues that conditional probabilities should be taken to be the basic entity, and unconditional probabilities should be defined out of them.
The repulsive function can then be defined out of Eq. (1), where (left( {x, y} right)) is the position of the robot and (left( {r_{ox}, r_{oy} } right)) is the obstacle position.
John Williams includes long-term discouraged workers, who "were defined out of official existence in 1994," to arrive at his underemployment estimate.
He says, "Set the blood quantum at one-quarter, hold to it as a rigid definition of Indians, let intermarriage proceed as it [has] and eventually Indians will be defined out of existence".
Unofficially, what the BLS doesn't acknowledge is that there are something like another 50 million Americans -- over and above those 26 million job seekers -- who could and would choose to work if jobs were available, but who can't find them and who have been defined out of the workforce altogether.
Partly because some skin cancers proved easily tractable (or, like rodent ulcers, were defined out of "cancer"), they tended to become part of dermatology (and marginal to cancer), along with conditions such as ringworm.
A subjective test is defined and carried out to evaluate the facial animation system.
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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