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The problem of coordinated tuning stabilizers in multi-machine power systems is formulated here as a sequence of optimization problems.
Models for radially convergent tracer tests are formulated here as transfer functions, which allow complex tracer test designs to be simulated by a series of simple mathematical expressions.
Trains scheduling problem is formulated here as resource constrained job shop scheduling problem.
In a similar manner, persistence length is formulated here as a proxy for rigidity, assuming some finite persistence independent of temperature.
The problem of associating targets to sensors, as well as determining the sensors with target-informative measurements, is formulated here as the task of decomposing a matrix into sparse factors.
Because the costs in our model can be interpreted as proportional differences in ribosome overhead costs (ROC) due to ribosome pausing, for simplicity we refer to the model formulated here as ROC SEMPPR (see Materials and Methods).
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In the proofs of Theorems 1.2 and 1.3 we use some standard argumentation, which we formulate here as lemmas.
As can be seen in Figure 5, the algorithm as formulated here is quite robust at finding the global optimum quickly, even given varying initial conditions.
23.Stability as formulated here plays little role in procedures in which the participants can be compelled to accept the resulting match.
American policy, as formulated here by the Dulles brothers during their long walks about Washington, is in the hands of "high-minded Protestants in an atmosphere of paranoid nostalgia".
For reasons exactly similar to those given for the case of the analogous reading of the second sentence of (11), these readings can't be captured by DRT as formulated here.
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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