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For solving (30) it is suffices to make the k th element of gradient vector in (26) equal to zero.
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If q>1, then use colors i1,…,i q to color the uncolored vertices in in a way that x j is not colored with i j (it suffices to make a derangement of those colors on the vertices); Let x∈L2 still uncolored be such that there exists v i ∈N W (x) that has some neighbor y∈L1.
If q>1, then use colors i1,…,i q to color the uncolored vertices in in a way that x j is not colored with i j (it suffices to make a derangement of those colors on the vertices); 3.
It suffices to make the following observation.
If you want to avoid a face-to-face confrontation, a polite letter will suffice, but it is best to make your tormentor aware of your feelings before complaining to a manager, since they might be unaware of the effects of their behaviour.
(It was, suffice it to say, an incredible living arrangement).
It is best to make the rice a day ahead of time, but if you cannot do that, then allowing it to cool for several hours will suffice.
There was no certainty of a complete economic boycott which, it was confidently expected, would suffice to make even the most aggressive government prefer to settle its disputes by negotiation rather than by armed attack.
It will suffice to make the following points.
It is thus inappropriate to make comparisons between them, suffice to say that similar orders of magnitudes of neurons project to both targets.
There's a thrill in bringing down a powerful person in the name of equality, but the fact of being powerful doesn't suffice to make you guilty.
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com