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61.
We continue our study of those Painlevé V equations which admit a one-parameter family of solutions analytic at the origin and solve the global problem of connecting the 2-parameter expansion about t = 0 with the 2-parameter expansion valid for t → ± i∞. A special case of our results is applied to the study of the one-particle reduced density matrix of the one-dimensional gas of impenetrable bosons. We also use our results to obtain a 2-parameter connection formula for a class of Painlevé III functions. 相似文献
62.
Mark A. McCoy 《Journal of magnetic resonance (San Diego, Calif. : 1997)》1998,130(2):341-345
Triple-resonance NMR experiments are nearly essential for performing backbone assignments of proteins larger than 15 kDa. Our work extends the double constant-time (2CT) evolution scheme to triple-resonance 3D and 4D experiments. The modifications needed to accomplish 2CT evolution in triple resonance experiments are straight forward, are completely general, and consequently, will yield increased resolution for all out-and-back experiments. We expect that the increased resolution of experiments presented here will be useful in the study of larger proteins (>30 kDa) and in the study of highly helical proteins where1HN,15N, and13C dimensions are poorly dispersed. 相似文献
63.
64.
Y.-P. Jeon B. J. McCoy 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,60(4):521-528
Networks are commonly observed structures in complex
systems with interacting and interdependent parts that self-organize. For
nonlinearly growing networks, when the total number of connections increases
faster than the total number of nodes, the network is said to accelerate. We
propose a systematic model for the dynamics of growing networks represented
by distribution kinetics equations. We define the nodal-linkage
distribution, construct a population dynamics equation based on the
association-dissociation process, and perform the moment calculations to
describe the dynamics of such networks. For nondirectional networks with
finite numbers of nodes and connections, the moments are the total number of
nodes, the total number of connections, and the degree (the average number
of connections per node), represented by the average moment. Size
independent rate coefficients yield an exponential network describing the
network without preferential attachment, and size dependent rate
coefficients produce a power law network with preferential attachment. The
model quantitatively describes accelerating network growth data for a
supercomputer (Earth Simulator), for regulatory gene networks, and for the
Internet. 相似文献
65.
McCoy JJ 《The Journal of the Acoustical Society of America》2005,117(6):3393-3401
There are two critical issues when deriving a macro-scale prediction model starting from a more complete, underlying model. The first is the precise relationship of the fields predicted by the more complete model and the fields predicted by the macro-scale model. The second is the manner of solving a closure problem that is invariably encountered in all such derivations. The understanding that moving averages of the fields predicted by the more complete model are the fields predicted by the macro-scale model is challenged on the grounds that accomplishing a moving average does not eliminate micro-scale variation, it only appears to do so in one representation of the moving average field. The solution of a closure problem by assumption is challenged on the grounds that the most common assumptions are demonstrably invalid, even while leading to prediction models that can provide reasonable estimates of the macro-scale response in some scenarios. In presenting the challenges, it is further shown how a multiresolution analysis by an orthogonal wavelet system provides a framework for both precisely defining macro-scale response fields, i.e., fields from which all micro-scale variation has been eliminated, and presenting a formally exact solution for a precisely described closure problem. 相似文献
66.
D.C. Reynolds D.W. Langer C.W. Litton G.L. McCoy K.K. Bajaj 《Solid State Communications》1983,46(6):473-476
A self-reversal model is presented to explain the luminescence dependence of the donor bound exciton intensity. The line broadening mechanism is attributed to rotational interaction with non-rigid rotator states. Line reversal results from absorption by non-broadened states near the crystal surface. The absence of a similar excitation intensity dependence for acceptor bound excitons is explained. 相似文献
67.
S.T. Gibson H.P.F. Gies A.J. Blake D.G. McCoy P.J. Rogers 《Journal of Quantitative Spectroscopy & Radiative Transfer》1983,30(5):385-393
The photoabsorption cross section in the Schumann-Runge continuum of oxygen has been measured with high precision over the wavelength region 140–174 nm at temperatures in the range 295–575 K. Models for the upper state potential and the electronic transition moment were used in the calculation of the cross section and its temperature dependence. By comparing this theoretical cross section with measured values, curves for the upper state potential and the transition moment in the continuum region have been obtained independently for the first time. 相似文献
68.
R.A. McCoy 《Topology and its Applications》1980,11(2):189-197
A study is made of the natural function which maps each point x of a space X to the evaluation function ex:Yx→Y defined by . A consequence of the results is that βX and υX can both be considered as subspaces of spaces of continous functions from appropriate domain spaces into I or R, respectively. 相似文献
69.
B.R. Lewis J.H. Carver T.I. Hobbs D.G. McCoy H.P.F. Gies 《Journal of Quantitative Spectroscopy & Radiative Transfer》1980,24(5):365-369
Predissociation linewidths are presented as a function of rotation for the (3-0)-(14-0) Schumann- Runge bands of molecular oxygen. While there may be a slight tendency overall for the linewidths to increase with rotation, it is shown that previous assumptions of linewidths constant with rotation are generally valid within the experimental error for the range of rotation studied, Nn ? 21. There is no evidence for the sudden increase in linewidth with rotation reported elsewhere. 相似文献
70.