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Theorem 2.6 Let the following conditions be satisfied 1. E is a Banach space satisfying the uniform multiplier condition, p ∈ ( 1, ∞ ) and 0 < h ≤ h 0 < ∞ are certain parameters; 2.
Suppose that the following conditions are satisfied: 1.
Suppose that the following two conditions are satisfied: 1.
Condition 3.6 Suppose that the following are satisfied 1.
Proposition 3.15 If one of the following conditions is satisfied: 1.
Definition 2. A function is standard, if for all, the following properties are satisfied (1) Positivity:.
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For (18) to be satisfied, 1/2 + v(s) - s > 0 is therefore required, which implies s < s ̄ by (15) and thus f > f ¯.
The result of the outage analysis provides the system operators estimate with which probability the quality of service (QoS) requirement can be satisfied [1].
In the 2013 call for proposals, 16 of the 23 networks received bonus funding (i.e. >100 % of planned funding) because they had satisfied ≥1 of the quantitative or qualitative performance criteria defined by CeNGEPS.
They were categorized very dissatisfied & satisfied = 1, fairly satisfied = 2, and satisfied & very satisfied = 3. Respondents were asked if they currently possessed inherited property or not (yes = 1).
Let us assume that the following inequalities are satisfied: − 1 2 p < α < 1 2 q , β > 1 p ˜, (6).
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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