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The method, referred to as Compound Wave Modification (CWM), involves removing the flux associated with non-regular structures and can be used for simulations in two- and three-dimensions because it does not require explicitly tracking an Alfvén wave.
Note that the boundedness property of Theorem 4.1(i) does not require explicitly the condition of Assumption 1 that is asymptotically nonexpansive.
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Motives like benevolence, curiosity, and prudence Hume calls natural in the twofold sense that they exist apart from social convention(s) and that they do not require explicitly ethical thinking (or conscience) or in order to issue in action.
In this context, it is necessary to design an observer which does not require to invert explicitly the output map in order to obtain the estimated output.
Although CUDA requires programmers to write special code for parallel processing, it does not require them to explicitly manage threads in the conventional sense, which greatly simplifies the programming model.
It does not require physicians to explicitly estimate patient risk and it allows for uncertainty in the recommendations.
BF can be applied to compare non-nested models and does not require to be explicitly corrected for the number of model parameters.
In a sharp contrast to related work in this area, the scheme does not require all nodes to explicitly share information.
In this manner, segmentation is done in a nonparametric way: unlike in the case of some other clustering methods such as K-means, mean shift does not require the user to explicitly set the number of classes.
We propose a solution strategy that does not require obtaining this "balance" system explicitly.
The present technique based on finite element analysis does not require the crack to be explicitly modelled.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com