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The concentration of methanol solutions is selected in the range of 3 8 M, considering the freezing points of the solution for corresponding operation temperatures (−5 to −15 °C).
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has nontrivial solutions for corresponding Now it is clear that we cannot substitute (5.24).
Publications from Finland and Austria have provided images of sitting postures at microscopes from 2002, 2003 and 2010 as well as potential solutions for corresponding musculoskeletal problems that illustrate these issues [ 3, 8, 34].
In Fig. 6, the empirical queue occupancy PMF obtained with ns-3 simulations is depicted together with the corresponding analytical solution for B=20 corresponding to 6 scenarios with i d x∈{3,4,11,13,14,18}.
The stochastic nature of the process prevents us from applying existing deterministic solution methods for corresponding scheduling problems.
On the other hand, if h i ∉ L 1 ( 0, 1 ), then this regularity of solutions is not true in general; for example, even for scalar case, if we take h ( t ) = ( p − 1 ) t − 1 | 1 + ln t | p − 2, p > 2 and λ = 1, f ≡ 1, then h ∉ L 1 ( 0, 1 ), and the solution u for corresponding scalar problem of ( P λ ) is given by u ( t ) = − t ln t which is not in C 1 [ 0, 1 ].
Under simplifying hypotheses a quasi-analytical solution for the corresponding Riemann problem is obtained.
Furthermore, we prove the existence of a global positive solution for the corresponding limiting SIRS epidemic system.
We first prove the existence and uniqueness of a global positive solution for the corresponding limiting system (7).
Our work mainly focused on the existence of a rank-one solution for the corresponding SDP relaxation (Pε).
For (ngeq1), (overline{x}^{u_{n}}) is the mild solution for (3.1) corresponding to (u_{n}), where (J u_{n})) attains its minimum.
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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