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For example, Pankov and Zakharchenko used a variational method known as Nehari manifolds and a discrete version of the Lions concentration-compactness principle in [1] to establish existence results of nontrivial standing wave solutions for discrete nonlinear Schrödinger equation.
A second order sliding function and corresponding sliding manifold for discrete time system are defined similar to the lines of continuous time counterpart.
Except that opens up two serious and discrete problems.
Each effect or sound remained glittering and discrete.
"Jeremy's smart, loyal, honest and discrete.
Make it quick and discrete.
It was named as PAA functions because they originally presented themselves, in their work in differential geometry, as scalars and tensors on manifolds with (discrete) groups of automorphisms [3].
Fluidic ladders comprise a discrete number of parallel channels, the ends of which are connected to a straight distributor manifold and to a straight collector manifold.
We propose to use the HRTFs as steering vectors for the beamformer filters calculation (cf. figure 3) and replace the unknown array manifold by a discrete distribution of HRTFs on a group of N S a priori chosen steering directions Θ = θ 1,..., θ N S. The HRTFs are measured in an anechoïc room as explained in Section 5. Figure 3 Example of a beam pattern using HRTFs for θ i = 50° (in dB).
The pleasures are manifold and fascinating.
The dual-flow hybrid manifold design combines two different manifold structures: a serpentine hydrogen manifold and a parallel air manifold.
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