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One reasonable assumption for obtaining validity of questionnaires for any complex disorder or disease is that they are developed for the specific condition that they are intended to be used on.
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When engaging in the maximum collision probability (Pcmax) analysis for short-term conjunctions between two orbiting objects, it is important to clarify and understand the assumptions for obtaining Pcmax.
From the proof of Theorem 1.1 in [7], we see that assumption (B2) is crucial for obtaining the existence of a homoclinic solution for (1.1).
Assumption [A5] is crucial for obtaining prior bounds of periodic solutions and verifying the second condition of Lemma 2.1.
The making of assumptions, which are used as the basis for obtaining the intrinsic physical properties, is inevitable.
The appeals court also asserted that the requirements for obtaining wiretap authorization under the intelligence law were not that different in a constitutional sense from the requirements for obtaining a warrant in a criminal case, challenging a widely held assumption.
He has kept on looking for the truth, on the assumption that obtaining it is of crucial importance for his life.
Setting (u=w) in the above assumption we obtain for some (deltageq0) bigllangle mathcal{G} u),u bigrrangle leq-delta vert u vert ^{6}.
Further evidence for this assumption was obtained by growing pigmented and unpigmented KT71T cells under identical conditions in defined semiaerobic medium containing 6 mM DL-malate as substrate (Table 1).
By the assumption that, we obtain for some.
The asymmetric approximation, which applies to sources away from the jet axis, and the quasi-symmetric approximation, which uses a near-axis source assumption, are both obtained for parallel round jets from a formal Fourier-transform solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com