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Under the assumptions of Problem 4.1, it is known that the following hold; see, for example, [22].
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Under the assumption of, problem (3.1) possesses a unique global attractor.
The necessary assumptions of the problem and the implementation details are presented in the next section.
In the second section, we describe the system structure and the assumptions of the problem.
As mentioned in the assumptions of the problem, the demand for part k in period t ((D_{tk})) is a random variable with normal distribution.
The intervention conducted is based on theoretical assumptions of educational (problem based learning) and leadership theories of the individual [ 25, 26].
Identical processing time jobs, machine-independent and sequence-independent setup times are the main assumptions of their problems.
Though our proposed MIML model in fact considers such relationship, a simple assumption of the problem may lead to simple model.
The selection of countries for inclusion in the analysis is based on the nature of the information source (availability of cross-nationally comparable, sex-disaggregated data) rather than necessarily any a priori assumption of a problem of gender inequality.
These situations can be found in most association rules and sequential patterns problems because the original assumption of these problems is for the analysis of large-scale dataset.
Under the assumptions of Theorem 4.1, problem (7) also has a unique solution.
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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