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961.
962.
Helmut Quast Markus Heubes Anita Dunger Hans-Heinrich Limbach 《Journal of magnetic resonance (San Diego, Calif. : 1997)》1998,134(2):236-244
The first carbon-13 shift thermometer for the temperature range of 100–300 K is based on the very rapid equilibration of a pair of semibullvalene valence tautomers. The temperature dependence of the equilibrium constant is reflected in strongly temperature-dependent shift differences Δδ between averaged signals, e.g.,d(Δδ)/dT= 0.051 ppm K−1at 300, 0.087 ppm K−1at 200, and 0.175 ppm K−1at 110 K for the quaternary carbon atoms C2 and C6. At 37 temperaturesT, which were measured with calibrated platinum resistance thermometers, shift differences Δδ were taken from nondecoupled carbon-13 spectra recorded from solutions of 1 in mixtures of chlorodifluoromethane and deuterated dimethyl ether without spinning. The least-squares fit of these Δδ vsTdata to a polynomial equation of the fourth degree (Eq. [5],r2= 0.9999) allows the calculation of temperatures from measured shift differences with a standard deviation of 0.46 K and an estimated error of about 1 K. The heating effects of WALTZ-16 decoupling and the influence of solvents on Δδ are investigated. A comparison with existing NMR thermometers demonstrates the superior performance of the new carbon-13 shift thermometer with respect to precision and the accessible temperature range. 相似文献
963.
Xiang-Gen Xia 《Journal of Fourier Analysis and Applications》1998,4(1):53-66
In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined
onL-shaped regions. With this construction, one is able to construct local sinusoidal bases and lapped orthogonal transforms
(LOT) on arbitrarily shaped regions. This work is motivated from and useful in object-based video coding, where a segmented
moving object may have arbitrary shape and block transform coding of this object is needed.
Acknowledgements and Notes. His work was partially supported by an initiative grant from the Department of Electrical and Computer Engineering, University
of Delaware, the Air Force Office of Scientific Research (AFOSR) under Grant No. F49620-97-1-0253, and the National Science
Foundation CAREER Program under Grant MIP-9703377. 相似文献
964.
We give a complete classification of the class of connected, simply connected Lie groups whose coadjoint orbits are of dimension smaller or equal to two. 相似文献
965.
966.
Given a simple Lie algebra g, we consider the orbits in g* which are of theR-matrix type, i.e., which possess a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the so-calledR-matrix bracket. We call an algebra quantizing the latter bracket a quantum orbit of theR-matrix type. We describe some orbits of this type explicitly and we construct a quantization of the whole Poisson pencil on these orbits in a similar way. The notions ofq-deformed Lie brackets, braided coadjoint vector fields, and tangent vector fields are discussed as well. 相似文献
967.
968.
969.
970.
Zhian Liang 《Periodica Mathematica Hungarica》1996,33(1):51-54
In this note we show that the special class generated by a prime PI-ring is, up to isomorphism, a left and right equivalence
class of orders in some matrix quotient ring.
This research was supported by Hungarian National Foundation for Scientific Research grant No. T 16432 and by the Natural
Science Foundation of Inner Mongolia Education Department. 相似文献