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Therefore, the problem translates into partitioning the network in the so-called communities.
Therefore, the problem translates into whether two function images can be equal in a same duty cycle.
Finally, the problem translates into the quadratic programming problem as in (1), where C is penalty coefficient, and ξ i is slack variable.
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For some, a version of this problem translates into Spinoza's metaphysics (cf. Section 1.9.4).
By Propositions 4 and 5, any solution to the vertex cover problem translates to a solution to the GKO' problem and vice versa.
Mathematically, the truckload shipper collaboration problem translates into covering a subset of arcs in a directed Euclidean graph by a minimum cost set of constrained cycles.
It also implies that any future improvement to the traditional (zero-threshold) version of the problem automatically translates into a similar improvement to the arbitrary-threshold case.
This difference in convergence rate is intrinsically related to our Newton-based method: the logarithmic transformation linearizes the problem and translates the first derivative of the functional (or Jacobian in our case) to a good estimate of the convergence direction toward the global minimum.
This problem translates as a high detection P-value (i.e. a low quality signal) for the probes concerned.
In the introduction to Kim Hyesoon's All The Garbage of the World, Unite!, translator Don Mee Choi recounts a great example of the type of problem translated works often run into.
Therefore, the topic selection problem translated into parameter estimation problem.
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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