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We propose a novel numerical method, which allows dealing with both evaporation and boiling at the interface between a liquid and a gas.
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A fully model-based approach was followed which allowed dealing with critical issues such as the presence of a conducting shell, the strong coupling of the poloidal field coils and the voltage limits of the power supplies.
Republicans are trying to pass their repeal through a budget process called reconciliation, which allows measures dealing with revenue and spending to pass the Senate with a simple 51-vote majority, and no threat of a filibuster.
It substitutes the classical derivative by a quantum difference operator which allows to deal with sets of nondifferentiable functions.
To that end, the road-vehicle system is transformed into a polytopic LPV form which allows to deal with a large variation range of vehicle speed.
In this case one would need to employ a parameterized version of homology, called persistent homology, which allows to deal with weighted simplices, as for example was done in [31].
The move would signal another step by online publishers to rely more heavily on so-called private exchange technology, which allows them to deal directly with ad agencies without having to use third-party networks.
It substitutes the classical derivative by a difference operator, which allows one to deal with sets of nondifferentiable functions.
Roughly speaking, a quantum calculus substitutes the classical derivative by a difference operator, which allows one to deal with sets of nondifferentiable functions.
A quantum calculus substitute the classical derivative by a difference operator, which allows one to deal with sets of non-differentiable functions.
Next we introduce an extension of Mawhin's continuation theorem [34, 35] which allows us to deal with the more general abstract operator equations, such as BVPs of p-Laplacian equations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com