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Exact(6)
We shall only use that ϕ in nondecreasing.
In fact, as we shall only use inequalities (5 - 6), the properties of functions in Φ and in Ψ must only be verified on the image of the quasi-metric q, that is, on q ( X × X ) ⊆ [ 0, ∞ ), which does not necessarily coincide with [ 0, ∞ ) (for instance, if X is q-bounded).
But we can bypass this question altogether if we are constructing a new system from the bottom up; in that case we shall make no further use of the sign A – we shall only use B. We have introduced the sign B to take the place of the complex expression in question by arbitrary fiat and in this way we have conferred a sense on it.
For the proof of Theorems 8 and 12 below, we shall only use the pointwise L-convergence (80).
They shall only use it for contacting other shareholders on company-related matters.
2. Competent authorities and other bodies or natural and legal persons receiving confidential information in the exercise of their duties under this Regulation shall only use it in the course of their duties and shall not be permitted to publish or otherwise make available any such confidential information for any other purpose except as expressly set out in this Regulation.
Similar(54)
"You need to specify, 'Thou shalt only use these numbers,' " Dokka emphasized.
All information shall only be used for the purposes of Yale and shall not be used by any outside party.
Under the guidance of the director [of the school's Quranic and Islamic Studies department], it shall only be used as a learning aid, not for entertainment and amusement purposes".
"Crowd control chemical agents shall only be used if other techniques, such as encirclement and multiple simultaneous arrest or police formations, have failed or will not accomplish the policing goal," the policy stipulates.
We note however that these erroneous predictions are mostly inconsequential, as the intra-cluster topology of each dense region shall only be used in generating the initial candidate solutions for the genetic algorithm.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com