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A key unsolved issue is how to represent appropriately the dynamical behaviors of a high-dimensional model of a lower scale by a low-dimensional model of a higher scale, so that it can be used to investigate complex dynamical behaviors at even higher scales of integration [ 14].
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Such models are of little to no value if the goal is to carry information to a lower scale of mechanisms, though they are perhaps still useful as predictors of reaction rates (i.e. when information is being carried to higher scales of metabolic networks).
The ADM can reduce the scale of variational inequalities by decomposing the original problem into a series of subproblems with a lower scale.
The alternating direction method (ADM) is a powerful method for solving the structured problem (1.3 - 1.4), since it decomposes the original problems into a series of subproblems with a lower scale, originally proposed by Gabay and Mercier [4] and Gabay [3].
Importantly, CANON was able to incorporate legacy code with a lower scale of resolution than the phytomer.
It was found that the mean flow velocity in the holes and the penetration depth in the blind holes are influenced especially by the roughness of the inner walls and, at a lower scale, by the velocity and the impinging angle of the jet.
In accordance with several experimental data, GSL permits to calculate the values of crack width and crack spacing when the geometry of crack patter is known at a lower scale.
But by any evaluation, these "similarities" are of a significantly lower scale than in the case of the climbing frame in terms of proving typical behaviour.
The intervention is of a much lower scale than suggested two months ago, partly because the Sarraj administration is under attack for being a puppet of the west, and cannot afford to be seen as too dependent on the US or Europe for help.
Readings were measured on bi-exponential plots, consisting of a lower linear scale and a higher exponential scale.
The sky's the limit here, and with a lower-scale slate of fall releases forthcoming -- nothing from Martin Scorsese, Kathryn Bigelow, Ang Lee, Alexander Payne, David O. Russell, Quentin Tarantino, Steven Spielberg, Joel and Ethan Coen, Steve McQueen or Cuarón -- I think "Boyhood" could stay in the race all year and into 2015.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com