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We present a framework developed over the last eight years in which a boundary control design for nonlinear parabolic PDEs has a well defined limit.
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For many years, network testbeds were created to address fairly specific, well defined, limited research goals, and they were implemented for fairly short periods.
In order to verify that a given implementation conforms to such loosely defined specifications, the typical approach is to verify the implementation to be correct within well defined limits of time tolerance.
These active units have very well defined limits and are stable in time, as superoxide flashes can be detected several times at the same place during a 3 min record.
Four templates of PLND have been well defined: limited, standard, extended and super-extended.
Google is seen as doing quite well within defined limits by investors, while Apple's position can hardly be described as rotten.
An important feature of this extended scale (bar {A}_{theta,q b}) is that it is well defined for limiting values (theta =0,1), under certain appropriate conditions on b (see [5, Proposition 2.5]).
The molecular mechanisms that underlie progression of the disease to end stage renal failure are not well defined thus limiting access to potential therapeutic targets.
The major advantages of analyzing this protein category separately are that it is physiologically well defined, is limited in size, and is not affected by accidentally released proteins.
At the same time, the condition is relatively homogenous, and the surgical procedure involved is well defined and limited in extent, thereby reducing the variability within the trial population.
Well defined mass transport limited current plateaux were observed, the diffusion limiting species being the Fe2+ ion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com