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This paper is devoted to dualization of dimension-theoretical results from the small scale to the large scale.
Its economy, however, suffers markedly from the small scale of much of its resource base, from restricted local markets, and from problems of transport to external markets.
Different examples are offered from the small scale of a window to the large scale of a community to explain how the principle can be manifest.
Multi-scale studies can help reduce this uncertainty by investigating how biodiversity responses scale from the small scale of manipulative experiments (i.e., 10-ha plots) to operational forest management and how biodiversity response to CWD levels might vary at different spatial and temporal scales and in different landscape contexts.
Since Ct can uniquely characterize creep crack growth from the small scale creep stage to the extensive steady state creep stage, an engineering estimation method of Ct was proposed for a crack located in the weld with mismatched material properties between the base material and the weld material based on the simulation results of compact tension specimens.
The basic idea of the 'chaos scale-up methodology' proposed in this paper is that the rate of information loss 3hould be kept similar when scaling up a bubbling bed from the small scale to the larger scale, in order to ensure dynamic (i.e. chaotic) similarity between the scaled beds.
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In our numerical examples we demonstrate that the reduced order controller computed from the small scaled problem can be used to control the large scale approximation of the PDE system.
Methane yield, returned from the pilot scale test, was approximately 80% of that from the smaller scale test.
Some of those who live on side streets would arguably benefit from the smaller scale of the proposed town houses but nevertheless oppose the plan.
Constructal design starts from the smallest scale (elemental volume) and proceeds toward larger and more complex assemblies of elements.
Generally, concept modeling involves multiscale analysis, which occurs at two or more levels, from the smallest scale (micro- or even nano-structure) to full system level (macroscopic scale).
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