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In principle, the idea is to start with an ensemble of data, called snapshots, collected from an experiment or a numerical procedure of a physical system.
The aim of the paper is to show that, using the obtained ensemble of data, POD can be used to model accurately the natural convection.
The ensemble of data collected provides insight into the fate and transport of the injected persulfate solution, and the accompanying treatment of a gasoline the source zone.
For a general LTV system, the input and output Hankel matrices formed by an ensemble of data satisfy a matrix facotrization relation.
These controlled in vitro experiments (anaerobic, aerobic and both aerobic/microaerobicity conditions) provide a unique ensemble of data that were used in an attempt to explain controversial observations of in reservoir biodegradation and that attested to some biodegradation parameters.
The peak was defined as the extremum of the ensemble of data points that exceeded the threshold.
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Next, we employ the SVD-method to deal with ensembles of data obtaining the POD basis.
Such separation of pixels for the forest classes is maintained to enhance the recognition accuracy, but learning ensembles of data need to be agreed for these categories of pixels.
We first compile ensembles of data from the first few L ( L ≪ N ) transient solutions computing a system of equation derived with the classical FDS for the traffic flow LWR model, while in actual applications, one may obtain the ensemble of snapshots from real traffic flow by drawing samples.
In order to obtain the most thorough analysis of an inference algorithm we analyze our method with an ensemble of simulated data and with biological expression data from microarray experiments of an organism for which, at least to a certain degree, information about the underlying regulatory network is known.
The main operational instrument of large ensemble analysis of data patterns requires that their consistency is established.
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