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Photographic images of a fresh (Fig. 1a) and reduced (Fig. 1b) catalyst showed that such a required profile was indeed obtained.
If u h | s > 0, there exists ε > 0 and β ∈ U h such that β ≥ 0, ∥ β ∥ L ∞ ( s ) = 1 and ( u h − ε β ) | s ≥ 0. For example, one can always find such a required β from one of the shape functions on s.
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Implicit within the design and operation of such processes is a required understanding of the properties of engineering materials and their specific response to such manufacturing methods.
Such claims are a required prelude to suing a government agency.
However, there is no legal requirement to make such a statement, so "required" was changed to "expected".
Unfortunately, it is such a fixture on required reading lists that many people forget to read Dickens's novel for fun.
Any change in her political constitution has led in the past and must lead in the future to her perdition, for she consists of very many and very different parts, each of which has its own civic needs; what save unlimited monarchy can produce in such a machine the required unity of action?
Such a complicated process required research and experimentation in engineering and hydrodynamics before a practical design could be developed.
We believe that such lectures should be a required part of the curriculum during fellowship.
Such a formal review is a required step before an emergency manager may be assigned, but Mr. Dillon said that the review by no means ensured that an outside manager would be brought in, and that the city might still solve its troubles on its own.
Lag times could be caused by ecological barriers, such as delayed arrival of a required mutualist [1].
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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