Results 241 to 250 of about 418,718 (289)

Twisted optical fibres as photonic topological insulators. [PDF]

open access: yesNat Photonics
Roberts N   +4 more
europepmc   +1 more source

Successive refinement lattice vector quantization

IEEE Transactions on Image Processing, 2002
Lattice Vector quantization (LVQ) solves the complexity problem of LBG based vector quantizers, yielding very general codebooks. However, a single stage LVQ, when applied to high resolution quantization of a vector, may result in very large and unwieldy indices, making it unsuitable for applications requiring successive refinement.
Debargha, Mukherjee, Sanjit K, Mitra
openaire   +4 more sources

On Fragments on Lattice Normed Vector Lattices

Results in Mathematics, 2023
Considering a lattice normed vector space \((V,\|\cdot\|, E)\) with \(E\) a vector lattice, the codomain of \(\|\cdot\|\), the authors call \(z\in V\) a \((bo)\)-fragment of \(x\in V\) provided that \(\|z\|+\|x - z\|=0\). The elementary properties of \((bo)\)-fragments are demonstrated and specified for \(C[0,1]\).
Bolat, Sezer   +2 more
openaire   +2 more sources

Multiband Vector Lattice Solitons

Physical Review Letters, 2003
We predict multiband vector solitons in nonlinear periodic systems, using photonic lattices as a prime example. The solitons consist of two optical fields arising from different bands of the transmission spectrum, which involve both bound state and radiation mode components.
Oren, Cohen   +4 more
openaire   +3 more sources

Free Vector Lattices

Canadian Journal of Mathematics, 1968
This note presents a useful explicit characterization of the free vector lattice FVL(ℵ) on ℵ generators as a vector lattice of piecewise linear, continuous functions on Rℵ, where ℵ is any cardinal and R is the set of real numbers. A transfinite construction of FVL(ℵ) has been given by Weinberg (14) and simplified by Holland (13, § 5).
openaire   +2 more sources

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