The molecular dynamics of [-SiDMe(2)] grafted on two amorphous silica materials, mesoporous SBA and non-porous Aerosil, was investigated by deuteron ((2)H) solid-state NMR spectroscopy. Quadrupole echo (QE), quadrupole Carr-Purcell-Meiboom-Gill (QCPMG) and magic angle spinning (MAS) spectra were recorded as a function of temperature. These were analyzed to determine the rates and trajectories o...

In this note we prove that reconstruction from magnitudes of frame coefficients (the so called ”phase retrieval problem”) can be performed using Lipschitz continuous maps. Specifically we show that when the nonlinear analysis map α : H → R is injective, with (α(x))k = |〈x, fk〉| , where {f1, . . . , fm} is a frame for the Hilbert space H, then there exists a left inverse map ω : R → H that is Li...

Though being a vital part of video indexing and retrieval systems, key-frame extraction algorithms have been based mainly on the analysis of various frame similarities and their later clustering. This work broadens the spectra of the analysis by focusing on the spatio-temporal region relations present in the scene to determine the most representative frame in the shot. It applies efficient vide...

A method of processing digital video signals produced by a sensor that are to be presented on a view?nder, the method involving: a ?rst pair of processing operations for scaling and color interpolation; and a second pair of processing opera tions for the formation of a color matrix and for White bal ancing. The operations of at least one, and preferably of both of the pairs of processing operat...

A Wilson orthonormal basis was constructed in 1991 by I. Daubechies, S. Jaffard and J.L. Journé from Gabor tight frame elements, when the redundancy of the Gabor system is 2. In 1994 P. Auscher gave a characterization of the atoms for which the Wilson system is an orthonormal basis. Afterwards, K. Gröchenig posed a question whether the construction of an orthonormal Wilson basis is possible for...

where A and B are called the lower frame bound and upper frame bound, respectively. In particular, when A= B = 1, we say that {hk}k∈Z is a (normalized) tight frame in H. The 1 Research was partially supported by NSF Grants DMS-9872890, DMS-9706753 and AFOSR Grant F4962098-1-0044. Web: http://www.princeton.edu/~icd. 2 Research was supported by NSERC Canada under Grant G121210654 and by Alberta I...

We have measured the absolute branching ratio of the K+ → π+π0 (γ) decay, using ∼20 million tagged K+ mesons collected with the KLOE detector at DAΦNE, the Frascati φ–factory. Signal counts are obtained from the fit of the distribution of the momentum of the charged decay particle in the kaon rest frame. The result, inclusive of final-state radiation, is BR(K+ → π+π0 (γ))=0.2065± 0.0005stat ± 0...

A new measure of the crystal-field strength, complementary to the conventional one, is defined. It is based on the rotational invariants |Bk0|av or | ∑ k Bk0|av, k = 2, 4, 6, of the crystal-(ligand)-field (CF) HamiltonianHCF parametrizations, i.e. on the axial CF parameters modules averaged over all reference frame orientations. They turn out to be equal to ∣

We study the relations of being substructure and elementary substructure between Kripke models of intuitionistic predicate logic with the same arbitrary frame. We prove analogues of Tarski’s test and Löwenheim-Skolem’s theorems as determined by our definitions. The relations between corresponding worlds of two Kripke models K K′ are studied. —————————————————————————2000 Mathematics Subject Cla...

Open reading frame sll1556 in the cyanobacterium Synechocystis sp. strain 6803 encodes a putative type II isopentenyl diphosphate (IPP) isomerase. The His(6)-tagged protein was produced in Escherichia coli and purified by Ni(2+) chromatography. The homotetrameric enzyme required NADPH, flavin mononucleotide, and Mg(2+) for activity; K(m)(IPP) was 52 microM, and k(cat)(IPP) was 0.23 s(-1).