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In this paper, a stronger bound, twice that obtained by L'Ecuyer, is derived.
Moreover, we obtain a stronger bound on the memory decay rate.
For Buckley matrices, the stronger bound was obtained by Ikramov [2]: | det A | ≤ ( 1 + 17 4 ) m | det A 11 | | det A 22 |.
A stronger bound results from empirical studies which have shown that infeasible firing configurations do not exist, if the maximum phase advance.
The stronger bound of Theorem 3.11 was neglected due to the fact that most network simulations using the weak upper bound with a random inital configuration have achieved synchronicity.
end{aligned} (4.8)Thus, when (4.7) is satisfied, one not only has (mathrm{Tr}[W] le tr[V]), but the stronger bound (D(W||V) + mathrm{Tr}[W] le mathrm{Tr}[V]).
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Five years later, our community of fellows and alums is now 322 humans strong, bound by the unwavering belief that health is a global human right.
Our OPLS-DA model was based on two-thirds of the 167 strongest bound genes on the X-chromosome and previous studies have indicated that 534-773 genes are bound by the complex [ 17, 19, 20].
By Cheng's eigenvalue comparison theorem ([17], Theorem 1.1), we obtain a stronger upper bound of the first eigenvalue (lambda_{1}) (Theorem 4.1).
The first model, called the node formulation is similar to the Kara Bektaş formulation [2], but produces a stronger lower bound.
Poor people are weak in isolation but very strong when bound together.
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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