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In this case, (F s,hat{u}(s))) takes the form (3.4), and also Assumption 2.1 holds.
where with Since is continuous and is uniformly bounded there exists such that Also, assumption (H1) implies that The relation (3.3) together with Lemma 2.1 yields (34).
Also assumption of a language-like, logical mentalese certainly does not preclude other modes of representation and thought, such as imagistic ones, and synergistic interaction with such modes (Paivio 1986; Johnston & Williams 2009).
Theorem 4. Let Assumptions 1 and 2 be satisfied and assume further that constant K satisfies: 2Kk < 1. Denote u(t) the unique solution of (3) in Theorem 1 and vk,j, j = 0, 1,..., n, the unique solution of (5) in Theorem 2. Let also Assumption 3 be satisfied.
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In addition to the facts, there are also assumptions; for example, the probability that Maloney doesn't like consultants.
Also assumptions (F2) and (F3) imply that ω ∈ L ∞ ( R N ) and ω > 0. Assume that ∥ u ∥ X > 1.
Also, assumptions regarding the distribution of pathogens in food products are usually made.
Also, assumptions made by one expert can be contested by another expert.
There are also assumptions in practice that patients "Learn" as is stated on page 6 in the Thematic Template generation.
The deal also involves assumption of about $20.4 million of debt.
Oh, then there's also the assumption of sexual availability.
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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