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991.
We extend the range of observed behaviour among length functionsof optimal asynchronously automatic structures. We do so bymeans of a construction that yields asynchronously automaticgroups with finite aspherical presentations where the Dehn functionof the group is polynomial of arbitrary degree. Many of thesegroups can be embedded in the automorphism group of a free group.Moreover, the fact that the groups have aspherical presentationsmakes them useful tools in the search to determine the spectrumof exponents for second order Dehn functions. We contributeto this search by giving the first exact calculations of groupswith quadratic and superquadratic exponents. 2000 Mathematical Subject Classification: 20F06, 20F65, 20F69. 相似文献
992.
Martin V. Day J. Hall J. Menendez D. Potter I. Rothstein 《Computational Optimization and Applications》2002,22(2):261-302
We generalize the analysis of J.A. Ball, M.V. Day, and P. Kachroo (Mathematics of Control, Signals, and Systems, vol. 12, pp. 307–345, 1999) to a fluid model of a single server re-entrant queue. The approach is to solve the Hamilton-Jacobi-Isaacs equation associated with optimal robust control of the system. The method of staged characteristics is generalized from Ball et al. (1999) to construct the solution explicitly. Formulas are developed allowing explicit calculations for the Skorokhod problem involved in the system equations. Such formulas are particularly important for numerical verification of conditions on the boundary of the nonnegative orthant. The optimal control (server) strategy is shown to be of linear-index type. Dai-type stability properties are discussed. A modification of the model in which new customers are allowed only at a specified entry queue is considered in 2 dimensions. The same optimal strategy is found in that case as well. 相似文献
993.
A general version of the maximum pseudolikelihood estimate of parameters within the class of Gauss–Markov random fields is
stated in a rigorous way. Its asymptotic properties, namely the consistency, the asymptotic normality, and the relative asymptotic
efficiency are studied. Explicit formulas for the asymptotic covariance matrix are given, and a decrease of efficiency is
proved. A numerical example is added to show that the efficiency can be improved by enlarging the range of the conditional
distribution used in the estimator.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
994.
995.
P. CrozetF. Martin A.J. RossC. Linton M.J. DickA.G. Adam 《Journal of Molecular Spectroscopy》2002,213(1):28-34
We have recorded laser excitation spectra of the CaOCH3 free radical in a laser ablation molecular beam apparatus, at a spectral resolution of about 0.010 cm−1 and a rotational temperature estimated at 15 K. The two spin-orbit components of the A2E-X2A1 000 origin band between 625 and 630 nm have been analyzed. Five main subbands were revealed, with ΔK=+1 and K″=0,±1,±2. There was clear evidence of lambda-doubling in the A2E1/2-X2A1 000 (F′1) K′=+1←K″=0 component. A nonlinear least-squares fitting program based on the model developed by Endo et al. [Y. Endo, S. Saito, and E. Hirota, J. Chem. Phys.81, 122-135 (1984)] fit the experimental data (514 A-X lines, N″≤37) with a root mean square deviation of 0.003 cm−1, using known molecular constants of the ground state. The main vibronic (T0=15 925.1232(5) cm−1), spin-orbit (aζed=66.974 48(51) cm−1), Coriolis (Aζt=5.437 30(24)) cm−1, rotational (A=5.439 97(24) cm−1, B=0.117 884(2) cm−1), and fine structure constants (ε1=−8.208(14)×10−3 cm−1, h1=1.50(12)×10−4 cm−1, εaa=3.58(89)×10−3 cm−1, εbc=3.20(76)×10−3 cm−1) for the excited state have been obtained. 相似文献
996.
Within the Feynman–Kac path integral representation, the equilibrium quantities of a quantum plasma can be represented by Mayer graphs. The well known Coulomb divergencies that appear in these series are eliminated by partial resummations. In this paper, we propose a resummation scheme based on the introduction of a single effective potential that is the quantum analog of the Debye potential. A low density analysis of shows that it reduces, at short distances, to the bare Coulomb interaction between the charges (which is able to lead to bound states). At scale of the order of the Debye screening length
–1
D, approaches the classical Debye potential and, at large distances, it decays as a dipolar potential (this large distance behaviour is due to the quantum nature of the particles). The prototype graphs that result from the resummation obey the same diagrammatical rules as the classical graphs of the Abe–Meeron series. We give several applications that show the usefulness of to account for Coulombic effects at all distances in a coherent way. 相似文献
997.
Reduction of C70 with alkaline earth and rare earth metals dissolved in liquid ammonia results in metal fulleride solvates AC70.nNH3 (A = Ca, Sr, Ba, Eu, Yb) containing linear polymeric, anionic chains infinity 1 [C70(2-)]. The compounds were characterised by means of Raman spectroscopy and single-crystal structure determination. The accurate crystal structure of [Sr(NH3)8]C70.3NH3, determined with atomic resolution, allowed for a comparison with results of quantum chemical calculations. The nature of the C-C bonds in the fulleride is analysed in detail leading to a model explaining the unexpected polymerisation of C70(2-). 相似文献
998.
Network forming properties of various proteins adsorbed at the air/water interface in relation to foam stability 总被引:4,自引:0,他引:4
Martin AH Grolle K Bos MA Cohen Stuart MA van Vliet T 《Journal of colloid and interface science》2002,254(1):175-183
A series of proteins was studied with respect to their ability to form a network at the air/water interface and their suitability as foaming agents and foam stabilizers. Proteins were chosen with a range of structures from flexible to rigid/globular: beta-casein, beta-lactoglobulin, ovalbumin, and (soy) glycinin. Experiments were performed at neutral pH except for glycinin, which was studied at both pH 3 and pH 6.7. The adsorption process was followed with an automated drop tensiometer (ADT). Network forming properties were assessed in terms of surface dilational modulus (determined with the ADT), the critical falling film length (L(still)) and flow rate (Q(still)) below which a stagnant film exists (as measured with the overflowing cylinder technique), and the fracture stress and fracture strain measured in surface shear. It was found that glycinin (pH 3) can form an interfacial gel in a very short time, whereas beta-casein has very poor network-forming properties. Hardly any foam could be produced at the chosen conditions with glycinin (pH 6.7) and with ovalbumin, whereas beta-casein, beta-lactoglobulin, and glycinin (pH 3) were good foaming agents. It seems that adsorption and unfolding rate are most important for foam formation. Once the foam is formed, a rigid network might favor stabilizing the foam. 相似文献
999.
In situ formation of allyl ketones via Hiyama-Nozaki reactions followed by a chromium-mediated Oppenauer oxidation 总被引:1,自引:0,他引:1
Schrekker HS de Bolster MW Orru RV Wessjohann LA 《The Journal of organic chemistry》2002,67(7):1975-1981
In Hiyama-Nozaki reactions of allylchromium with aldehydes the expected products are homoallylalcohols. However, oxidation products derived from these, predominantly allyl ketones, can be common side products. This can be explained by an Oppenauer-(Meerwein-Ponndorf-Verley)-type mechanism (OMPV-reaction). The amount of oxidation is strongly dependent on the substitution pattern of the reaction partners and the reaction conditions. An appropriate choice of these can lead to preferential formation of ketones instead of the alcohols. In addition to its synthetic usefulness, the oxidation-reduction equilibrium is of the utmost importance for the design of enantioselective Hiyama-Nozaki reactions because it is also a potential racemization pathway. 相似文献
1000.
Reacting imine derivatives of resin-bound amino acids with alpha,omega-dihaloalkanes provides highly versatile intermediates to racemic alpha,alpha-disubstituted amino acids with a wide variety of side-chain functionality. Two strategies were developed to convert the intermediate omega-chloro or omega-bromo derivatives to the desired products. Together, they allow the creation of amino acids with diverse functionalities (omega-chlorides, nitriles, azides, acetates, thioacetates, thioethers, secondary and tertiary aliphatic amines, and anilines) placed at varying chain lengths (2-5) from the alpha-center of the amino acid. 相似文献