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81.
82.
Ka Hin Leung Siu Lun Ma Bernhard Schmidt 《Transactions of the American Mathematical Society》2004,356(11):4343-4358
In 1963 Ryser conjectured that there are no circulant Hadamard matrices of order 4$"> and no cyclic difference sets whose order is not coprime to the group order. These conjectures are special cases of Lander's conjecture which asserts that there is no abelian group with a cyclic Sylow -subgroup containing a difference set of order divisible by . We verify Lander's conjecture for all difference sets whose order is a power of a prime greater than 3.
83.
Helen O. Leung Oluwatoyin M. Ibidapo Mary B. Bianchi 《Journal of Molecular Spectroscopy》2003,222(1):3-14
The rotational spectra of six isotopomers of the linear and bent isomers of HF-N2O have been collected in the 7-18 GHz region with a Fourier transform microwave spectrometer. The nuclear hyperfine structure in the spectra produced by HF spin-spin coupling interaction and nuclear quadrupole coupling interactions due to the D nucleus of DF and the nuclei of N2O have been resolved and analyzed. In the linear isomer, H in HF is bonded to the terminal N in N2O. The NF bond lengths are 2.9808(2) Å for the HF-containing isotopomers and 2.9732(2) Å for the DF-containing isotopomers. The zero point angles are 23.1° for HF and 31-34° for N2O. The hyperfine constants suggest that the HF bond is lengthened by 0.0105 Å upon complexation and that the electric field gradients of the two nitrogen nuclei in N2O are perturbed differently in the complex. In the bent isomer, the hydrogen bond is formed between HF and O in N2O. The intermolecular distances are 3.4942(2) Å for the HF-containing isotopomers and 3.4436(2) Å for the DF-containing isotopomers, with HF and N2O forming angles of 34° and 46°, respectively, with the intermolecular axis. The nuclear quadrupole coupling constants of the two nitrogen nuclei do not indicate electric field gradient perturbation in this isomer. 相似文献
84.
Based on a variational approach, we propose that there are two kinds of low-energy states in the t-J-type models at low doping. In a quasiparticle state an unpaired spin bound to a hole with a well-defined momentum can be excited with spin waves. The resulting state shows a suppression of antiferromagnetic order around the hole with the profile of a spin bag. These spin-bag states with spin and charge or hole separated form a continuum of low-energy excitations. Very different properties predicted by these two kinds of states explain a number of anomalous results observed in the exact diagonalization studies on small clusters up to 32 sites. 相似文献
85.
Let be a surface, and let be a holomorphic curve in representing a primitive homology class. We count the number of curves of geometric genus with nodes passing through generic points in in the linear system for any and satisfying .
When , this coincides with the enumerative problem studied by Yau and Zaslow who obtained a conjectural generating function for the numbers. Recently, Göttsche has generalized their conjecture to arbitrary in terms of quasi-modular forms. We prove these formulas using Gromov-Witten invariants for families, a degeneration argument, and an obstruction bundle computation. Our methods also apply to blown up at 9 points where we show that the ordinary Gromov-Witten invariants of genus constrained to points are also given in terms of quasi-modular forms. 相似文献
86.
87.
An experimental investigation has been performed to determine the effects of different arrangements of obstacles on the
cooling of simulated electronic package. The considered simulated electronic package consisted of a channel formed by two
parallel plates. The bottom plate is attached with five identical electrically heated square obstacles, which are perpendicular
to the mean airflow and arranged with different side-to-side distances. The experimental results show that the conventional
equi-spaced arrangement might not be the optimum option and should be avoided. A better thermal performance could be obtained
when the side-to-side distances between the obstacles followed a geometric series. For example, at Re=800, the highest temperature
of the optimum arrangement could be reduced by 12% compare to the equi-spaced arrangement and the maximum temperature difference
among the five obstacles is lower than that of equi-spaced arrangement by 32.1%.
Received on 17 December 1999 相似文献
88.
Sze-Kar Leung 《Tetrahedron letters》2005,46(15):2709-2712
Cyclopropanations of an 8-oxabicyclo[3.2.1]octene substrate using diazocarbonyl compounds provided exo, exo-cyclopropanated products as the sole or major diastereomeric oxatricyclic products. Reductive cleavage of a meso-oxatricyclic ketone by samarium iodide resulted in desymmetrization without concomitant oxygen bridge cleavage. 相似文献
89.
C.W. Tan Y.C. Chan Bernard N.W. Leung John Tsun Alex C.K. So 《Optics and Lasers in Engineering》2005,43(2):374
For the packaging of a pump laser in butterfly package, the most crucial assembly step is the fiber-to-laser diode coupling and attachment. The use of laser welding as the joining method offers several advantages if compared with the adhesive joints: strong joining strength, short process time and less contamination. This paper reports on laser welding process characteristics; weld strength and its fracture mode. The penetration depth and melt area of laser spot welds were found to be complicated functions of laser pulse energy, intensity, and beam diameter. Effects of pulse width, input power and size of the focal spot on the rate of energy input to the workpieces and consequently, the weld strength were reported. The weld strength was found to be dependent on the overlapping area between the two joining materials. Surface roughness, Ra, has influence on the fraction of energy absorbed, A, and therefore, affecting the penetration depth. Thermal analysis was carried out on the laser-welded joints and its heat-affected zone (HAZ) induced by various power densities was examined. These data are important in order to optimize and utilize the laser welding process as an effective manufacturing tool for fabrication of reliable pump laser. 相似文献
90.
Björn Schwarz Issic K. C. Leung Nils Buchholtz Gabriele Kaiser Gloria Stillman Jill Brown Colleen Vale 《ZDM》2008,40(5):791-811
In this paper, qualitative results of a case study about the professional knowledge in the area of argumentation and proof of future teachers from universities in three countries are described. Based on results of open questionnaires, data about the competencies these future teachers have in the areas of mathematical knowledge and knowledge of mathematics pedagogy are presented. The study shows that the majority of the future teachers at the participating universities situated in Germany, Hong Kong and Australia, were not able to execute formal proofs, requiring only lower secondary mathematical content, in an adequate and mathematically correct way. In contrast, in all samples there was evidence of at least average competencies of pedagogical content reflection about formal and pre-formal proving in mathematics teaching. However, it appears that possessing a mathematical background as mandated for teaching and having a high affinity with proving in mathematics teaching at the lower secondary level are not a sufficient preparation for teaching proof. 相似文献