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Since quantized measurements out of each -tuple in are used in actual process of encoding, it would be useful to construct the set of tuples generated from We denote by the set of -tuples obtained from -tuples in where only the quantization bins at positions other than position are stored.
The OLSE residuals are very useful to construct the variance and covariance matrix.
When analyzing motion trajectories, it may be useful to construct the parabolic arc solution for a given pair of line elements.
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For these cases it has been proven very useful to construct effective Hamiltonians like the Heisenberg- or tJ-model.
In this section, it will be introduced the notations and definitions needed forward together with some auxiliary functions useful to construct some ordered functions on the basis of the not necessarily ordered lower and upper solutions of the referred problem.
To help disambiguate the true relationships between the reads from those induced by different copies of repeats, it is useful to construct a graph where all the copies of a repeat are collapsed into a single segment.
From a biological systems perspective, it may be useful to construct such pathway analyses based on homeostasis as the organizing circuitry or network.
In this prevalent situation, it is useful to construct a model that understands rock properties and has the capabilities to make a good prediction.
However, there may be clinical situations in which rapid detection of isoniazid resistance, in the absence of rifampicin resistance, may be useful to construct an effective treatment regimen.
POD, recognized as a useful tool to construct the reduced order models, is employed to reconstruct the flow solutions with respect to a given aerodynamic shape in the system space.
This knowledge provides useful information to construct the Bacillus subtilis Transcriptional Regulatory Network TRNN) and make a deep and careful discussion of the intricate and elegant design that B. subtilis displays in the microbial world.
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