多目标非线性规划的对偶理论

单目标数学规划的对偶理论,可以相应的推广到多目标数学规划中去,而且也是多目标数学规划理论的一个重要组成部分。近几年来,J.S.H.Kornbluth和H.Isermann等人,对多目标线性规划的对偶理论,做了许多研究。 本文对多目标非线性规划的对偶理论,进行了初步的探讨。主要是把P.Wolfe等人关于单目标非线性规划对偶理论的主要结果[3]—[5],推广到了多目标非线性规划的     

超图的最优标号与特征值

研究超图的标号性质,首先利用拉普拉斯张量的第二小和最大特征值给出4一致超图的带宽和与割宽的上下界;其次构造与超图对应的简单图,通过其拉普拉斯矩阵的特征值给出超图带宽的下界.     

酰胺类喹唑啉酮衍生物的合成及抗菌活性

本文设计并合成了23个含酰胺结构单元的新型喹唑啉酮类化合物,经1 H NMR、13 C NMR和HRMS确证结构.在100μg·mL-1和50μg·mL-1浓度下,评价了它们对水稻白叶枯病菌、猕猴桃溃疡病菌和柑橘溃疡病菌的抑菌活性.结果表明,化合物对柑橘溃疡病菌有较强的抑制活性,并测定了6个化合物对柑橘溃疡病菌的EC5...     

Ground-state phase diagram of the dimerizedspin-1/2 two-leg ladder

Dimerized spin-1/2 ladders exhibit a variety of phase structures, which depend on the intra-chain and inter-chain spin exchange energies as well as on the dimerization pattern of the ladder. Using the density matrix renormalization group (DMRG) algorithm, we study critical properties of the bond-alternating two-leg Heisenberg spin ladder with diagonal interaction J_×. Two types of spin systems, staggered dimerized antiferromagnetic ladder and columnar dimerized ferro-antiferromagnetic couplings ladder, are investigated. To clarify the phase transition behaviors, we simultaneously analyze the string order parameter (SOP), the twisted order parameter (TOP), as well as a measurement of the quantum information analysis. Based on measuring this different observables, we establish the phase diagram accurately and give the fitting functions of the phase boundaries. In addition, the phase transition of cross-coupled spin ladder (in the absence of intrinsic dimerization) is also discussed.     

溶致性液晶高分子PBT的结构表征

聚苯撑苯并二噻唑(PBT)具有典型的溶致性液晶行为,聚合后期有液晶态搅拌乳光现象。偏光显微镜观察到具有向列型织态结构,溶液粘度随浓度变化,当进入液晶区时有明显的反常突变。对高分子链和凝聚态结构进行了X射线衍射研究,测定了晶胞参数、C轴等同周期和高分子链的取向度,并表明取向的PBT凝聚态是由刚性棒状的分子呈园柱体形态二维有序堆砌而成的。     

Spin Filter Effect in Organic Polymers in the Presence of Local Magnetic Field

Using a nonadiabatic evolution method, we investigate the spin filter effect in organic polymers in the presence of a local magnetic field. Through a spin-dependent magnetic field, polarons （charge carrier） with different spins will feel repulsive or attractive force determined by their spins. Our simulations show that in a single-site magnetic field （affecting electrons at a single site）, for example V150 = 0.35 eV, or V150 = 0.45 eV, a spin-up polaron accelerated to saturated velocity by an electric field can pass through the field while the spin-down polaron is trapped. When the local field extends over several sites （Vn～ exp[-（n - nc）2/nw^2]）, similar behaviour is also found. Simultaneously we find that it is more likely to realize the spin filter effect in a comparatively large field since the polaron which feels attractive force is easily trapped by a local magnetic field.     

吡啶联喹唑啉酮衍生物的设计、合成与抗菌活性研究

以靛红酸酐为起始原料,设计并合成了14个结构新颖的吡啶联喹唑啉酮类衍生物.所有化合物经1 H NMR、13 C NMR和高分辨质谱(HRMS)表征确证其结构.初步抗菌活性结果显示,该类化合物对水稻白叶枯病菌(Xanthomonas oryzae pv.Oryzae,Xoo)、猕猴桃溃疡病菌(Pseudomonassyr...