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However, it is invalid for nonlocal problems; for details, see the proof of Corollary 5.1.
The Keystone algorithm can correct the linear MTRC, but it is invalid for the high-order MTRC and phase errors.
Although nanostructures can be fabricated on conductive surfaces by an anodic oxidation process at a given voltage, it is invalid for an insulator surface of quartz [11].
Although contraposition is valid for the material conditional (A ⊃ B iff ~B ⊃ ~A), Sosa suggests that it is invalid for counterfactuals, which is why sensitivity and safety are not equivalent.
(b If and (a constant) and, then is concave, this property is used extensively in the study of one-dimensional -Laplacian problems (see [19]), but it is invalid for.
(b) If w ( t ) ≡ 1 and p ( t ) ≡ p (a constant) and − △ p u > 0, then u is concave, this property is used extensively in the study of one-dimensional p-Laplacian problems (see [21]), but it is invalid for − △ p ( t ).
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For if it is invalid the MTA cannot refute global descriptivism or any other theory of reference.
It is noted that this is invalid for frequencies other than 2.4 GHz.
Then it will be the teaching profession's time to render its pound of flesh, as educators are fired due to the guestimates produced by unreliable value-added models that crunch test data that is invalid for the purposes that it is used for.
This supposed free-market argument likewise is invalid for a fourth reason: It begs the question that cost-benefit analysis is the sole test for regulations.
"The federal statute is invalid, for no legitimate purpose overcomes the purpose and effect to disparage and to injure those whom the state, by its marriage laws, sought to protect in personhood and dignity.
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com