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61.
This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturbation theory and qualitative analysis, it is proved that the system can have six limit cycles. 相似文献
62.
在隧道通风工程中,为了研究通风过程中风压风速度的变化情况,将隧道中空气的流动看成流体力学中所研究的粘性不可压缩流体的非定常流动。用NS方程作为隧道通风的数学模型,采用三次插值伪质点法求解NS方程。以浙江台州104国道黄土岭隧道风改建工程为研究对象,对不同长度和高度的引洞通风状况给出计算机数值模拟,并进一步分析通风过程中风压风速的变化情况。从达到通风要求、提高通风效率的角度出发,可根据本文的计算结果与数据分析,选择最优化的通风方案。 相似文献
63.
Progress in liquid crystalline dispersions: Cubosomes 总被引:2,自引:0,他引:2
Patrick T. Spicer 《Current Opinion in Colloid & Interface Science》2005,10(5-6):274-279
Dispersed particles of bicontinuous cubic liquid crystalline phase, cubosomes, are self-assembled nanostructured particles that can be formed in aqueous lipid and surfactant systems. Contributions to cubosome research have come from the fields of biology, material science, medicine, and mathematics and much is known about their formation and properties. At the center of much of the discovery and innovation is the technique of cryo-transmission electron microscopy. Most of the research into cubosomes is motivated by potential applications in drug delivery and material synthesis although no commercialized product based on cubosomes is known. Recent advances in understanding and use of cubosomes are discussed in the context of some of the more promising application areas and the opportunities for microscopy techniques to make unique contributions to these areas. 相似文献
64.
In this article, we establish the stability of the orthogonally cubic type functional equation (1.2) for all x1,x2,x3 with xi⊥xj(i,j=1,2,3), where ⊥ is the orthogonality in the sense of Rätz, and investigate the stability of the n-dimensional cubic type functional equation (1.3), where n?3 is an integer. 相似文献
65.
Kil-Woung Jun Hark-Mahn Kim 《Journal of Mathematical Analysis and Applications》2002,274(2):867-878
In this paper, we obtain the general solution and the generalized Hyers-Ulam stability for a cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x). 相似文献
66.
Eckhard Steffen 《Discrete Mathematics》2004,280(1-3):191-214
Cubic bridgeless graphs with chromatic index four are called uncolorable. We introduce parameters measuring the uncolorability of those graphs and relate them to each other. For k=2,3, let ck be the maximum size of a k-colorable subgraph of a cubic graph G=(V,E). We consider r3=|E|−c3 and
. We show that on one side r3 and r2 bound each other, but on the other side that the difference between them can be arbitrarily large. We also compare them to the oddness ω of G, the smallest possible number of odd circuits in a 2-factor of G. We construct cyclically 5-edge connected cubic graphs where r3 and ω are arbitrarily far apart, and show that for each 1c<2 there is a cubic graph such that ωcr3. For k=2,3, let ζk denote the largest fraction of edges that can be k-colored. We give best possible bounds for these parameters, and relate them to each other. 相似文献
67.
Summary A procedure for the simultaneous quantitation of Al(III) and Cr(III) ions by reversed-phase HPLC, after pre-column complexation
with 8-hydroxyquinoline, is described. The deconvolution of the partially overlapped peaks was by the Kalman filter method
which yielded accurate and precise results.
Background removal from the chromatograms was by a new approach employing cubic splines as interpolators between the peak
valleys.
Finally, it is shown that the Kalman filter deconvolution, after subtraction of the background by cubic spline interpolation,
allowed quantitation of Al(III) and Cr(III) down to 25 ppb for each metal. These concentrations were not detectable by conventional
integration methods due to a very low signal-to-noise ratio. 相似文献
68.
In this note we investigate the generalized Hyers-Ulam-Rassias stability for the new cubic type functional equation f(x+y+2z)+f(x+y−2z)+f(2x)+f(2y)=2[f(x+y)+2f(x+z)+2f(x−z)+2f(y+z)+2f(y−z)] by using the fixed point alternative. The first systematic study of fixed point theorems in nonlinear analysis is due to G. Isac and Th.M. Rassias [Internat. J. Math. Math. Sci. 19 (1996) 219-228]. 相似文献
69.
We propose a detailed method for the symmetrization of the standard O(3) or SU(2)⊗CI basis |jτ,m〉 (τ=g or u) into the Oh or Td point group. This is realized by means of an orientation matrix called G. The oriented basis obtained in this way allows matrix element calculations for rovibronic spectroscopic problems concerning octahedral or tetrahedral molecules. Particular attention has been put on careful phase choices. A numerical calculation of all the G matrix elements for both integer and half-integer j values up to 399/2 has been performed. Such high angular momentum values are necessary for the case of heavy molecules with high rotational excitation. To calculate the G coefficients with high precision at high j values we pre-calculated the necessary Wigner functions using symbolic MAPLE software and made then the numerical calculations with quadruple precision. The complete list of these coefficients can be obtained freely at the URL: http://www.u-bourgogne.fr/LPUB/group.html. As an illustration, we also present briefly an application to two typical spectroscopic calculations: the pure rotational levels of SF6 in its ground vibrational state and the ν3 band of ReF6 (an open-shell molecule with an odd number of electrons and a fourfold degenerate electronic ground state). 相似文献
70.
The aim of this paper is to establish the semilocal convergence of a multipoint third order Newton-like method for solving F(x)=0 in Banach spaces by using recurrence relations. The convergence of this method is studied under the assumption that the second Fréchet derivative of F satisfies Hölder continuity condition. This continuity condition is milder than the usual Lipschitz continuity condition. A new family of recurrence relations are defined based on the two new constants which depend on the operator F. These recurrence relations give a priori error bounds for the method. Two numerical examples are worked out to demonstrate the applicability of the method in cases where the Lipschitz continuity condition over second derivative of F fails but Hölder continuity condition holds. 相似文献