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The main difficulty of the coincidence of the source and collocation points then disappears.
This means that the hydrodynamic variables must project onto the family of eigenfunctions; this is the second main difficulty of the present problem.
The main difficulty of the electron avalanche equation lies in the fact that the reaction term is positive when a high electric field is applied.
The main difficulty of the problem is due to the existence of Radon measures in the right-hand side of the state system.
For all readers of Trainspotting who do not come from lowland Scotland (and perhaps for some of them too), the main difficulty of the novel is also one of its peculiar pleasures: making out what people are saying.
From the considered dynamics of the plant, it is observed that the main difficulty of the control problem is due to the existing nonlinear coupling effects between the two perpendicular rotors.
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On the other hand, in the case of the whole space (mathbb {R}^{N}), the main difficulty of this problem is the lack of compactness for the Sobolev theorem and we introduce the potential V to the equation.
For the whole space ({mathbb{R}}^{N}) case, the main difficulty of this problem is the lack of compactness for the Sobolev embedding theorem.
Reflection problems are the main difficulty of this video; while the objects of interest are easily detected, the algorithms are usually unable to remove the reflections from the detected foreground.
The main difficulty of this problem is the lack of compactness for Sobolev's embedding theorem.
Certainly, the main difficulty of this study is the limited sample size.
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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