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The monic representations based on the Kakutani measures are exactly the ones that have a one-dimensional cyclic S⁎i-invariant space.
To this purpose, we have employed a number of structural descriptor variables ranging from representations based on the atom's environment to those that exploit semiempirical molecular orbital information.
Computer-generated material representations, based on the experimentally determined microstructures, were used to simulate the crystallographic orientation of each grain, as function a macroscopic polarization and crystallographic texture.
In addition, in Section 6 we illustrate the use of our approach by presenting an exploratory data analysis that leverages the information contained by the aforementioned representations, based on the data collected by the visual tool.
Coastal models with simplified turbine representations based on the shallow water equation are among the most favorable methods for studying the tidal stream energy extraction processes in realistic sites.
While extracting knowledge from high-dimensional visual representations based on the notions of sparsity and regularization has been successful for several computer vision problems, such techniques have not been fully exploited in the context of the re-identification problem.
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An experimental evaluation and comparison with a model-based representation based on the data sample described in Section 4 is given in Section 5, followed by the summary and conclusions in Section 6.
The Liberal Democrats, supported by the Electoral Reform Society, favor a type of proportional representation based on the so-called single transferable vote.
The deputies of the Third Estate, fearing that they would be overruled by the two privileged orders in any attempt at reform, led in the formation of the revolutionary National Assembly (June 17), signaling the end of representation based on the traditional social classes.
3. Estimate the source representation based on the sparsity assumption.
In this algorithm, sparse representation based on the SSIM index is introduced into the inpainting.
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