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Frames, or dictionaries, for sparse signal representations may be designed using an iterative algorithm with two main steps: (1) Frame vector selection and expansion coefficient determination for signals in a training set, selected to be representative of the signals for which compact representations are desired, using the frame designed in the previous iteration.
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On the other hand, if the best selection gain for system spectral efficiency is desired, one can employ a certain number of elements for which the compact MIMO system attains its maximum ergodic spectral efficiency, use or less RF chains, and deploy the phase-shift-based selection method.
Genes for which no compact and well-separated clusters could be found, i.e. for which the Davies-Bouldin index for both k = 2 and k = 3 exceeded 0.5, were removed.
For a metric space ( X, d ) we denote by V ( X ) the collection of fuzzy sets A in X for which A α is compact and sup A x = 1 for all α ∈ [ 0, 1 ].
Then there are his good cheer and compact build, for which the Sherpas are known, and the stocky legs that seem made for climbing.
Also characterized are the functions f for which Hf extends to a compact or Schatten class operator on A2.
However, by [30], there does not exist a Kobayashi-hyperbolic Reinhardt domain in ({mathbb {C}}^2) containing the origin for which the automorphism group is compact and 4-dimensional.
Contrary to the case of boundary value problems in compact domains, for which a very wide literature has been produced, in the framework of unbounded intervals many questions are still open and the theory presents some critical aspects.
This method works well for evolved stars that have developed dense cores, as well as for MS stars with (m_{c}equiv0M_{odot}), and compact objects for which (m-m_{c}equiv0M_{odot}). The initial spin periods of the stellar components of the triple are assumed to be similar to that of ZAMS stars.
In this regard, there is a specificity of random motions in a three-dimensional medium with respect to the one- and bi-dimensional cases, for which the exploration is always compact since the fractal dimension D f (less or equal to 1 and 2, respectively) is necessarily smaller than D w.
One is thus reduced to studying those groups for which the semi-simple quotient is compact, i.e. to compact extensions of solvable Lie groups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com