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In particular, both an iterative and a direct version of the so-called projection decomposition method (PDM) are introduced to separate the equations for the internal nodes from the ones governing the interface unknowns.
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Here we implement the direct version of this method [ 46].
The α-process corresponds to a directed version of the Barabási Albert SFN model with growth and preferential attachment, while for the β-process only preferential attachments between pre-existing nodes are made without addition of new nodes.
Considering the directed version of the problem, the theorem follows from the proof of Theorem 9.
Now we turn our attention to the directed version of the problem: This problem can be formulated as a minimum cost flow problem with unit costs as follows.
Meyer, however, is the least direct version of Clinton among the trio because creator Armando Iannucci chooses in this HBO series – as in its British ancestor, The Thick of It – to focus on process rather than personality.
Rice has also directed versions of The Bacchae, Tristan and Yseult and Rapunzel.
But, as the Film Society of Lincoln Center's retrospective of all his feature films (running Dec. 13-Jan. 7) proves, he had been directing versions of the Pygmalion story — most of them based on the lives and passions of actors — since the start of his movie career, in the early thirties.
Thanks, perhaps, to the fact that Mr Asmus had absorbed so much of Beckett's own views on staging from the mid-1970s, the German went on to become Beckett's chosen director of his plays, "Godot" above all, and directed versions of the Dubliner's works in both English and German.
Different approaches have been proposed for inferring causal relations in genetical genomics studies, including likelihood-based model selection [ 7], directed versions of the PC algorithm [ 8], structural equation models [ 9, 10], homogeneous conditional Gaussian regression models [ 11], and mixed graphical Markov models [ 12].
This is based on the Direct Method version of the Gillespie algorithm (Gillespie, 1977) and, thus, we call this the Direct Method.
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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