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Second, we use this formalization to show that the problem is intractable (NP-hard) and identify three sources of intractability: (a) deciding what phenomena to model; (b) deciding how to model the chosen phenomena; and (c) satisfying domain-dependent constraints.
We show that the problem is intractable in general.
"Their visibility tends to give people a sense that the problem is intractable," Mr. Culhane said.
We give efficient algorithms for the problem for trees, and show that, for a general dag, the problem is intractable.
Several years ago, Bernardin, who works as a freelance tour guide, started an anti-noise group called FANNY (Friends Against Noisy New York), but lately he has concluded that the problem is intractable.
Given current publishing arrangements, the problem is intractable, and for the present the best we can do on the reference management side is to provide means of recording these relations in personal libraries when they are identified by individual users.
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Last week consultancy firm Accenture, which along with CSC was in charge of introducing Connecting for Health across the country, pulled out of the project, raising concerns that the problems were intractable.
As the following theorem shows, our protocol achieves the goal of key privacy as long as the RSA problem is intractable.
As the following theorem states, our protocol is a secure gateway-oriented password-based key exchange protocol as long as the RSA problem is intractable.
In a method called data-driven clock-gating, the corresponding covering problem is intractable but can practically be solved by appropriate heuristics.
The error detection problem is intractable.
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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