团队中枢节点的效率模型

集团性是社会网络的显著特征.团队作为一个小规模的社会网络,也存在网络结构的非均匀性以及中枢节点.在阐述团队网络的集团性和中枢节点导致网络的两面性等结构特征的基础上,运用小世界模型的局部效率和集聚系数等指标,建立了团队中枢节点的效率模型,并通过网络结构的调整(如加键和断键重连)研究了网络结构对中枢节点的效率的影响.     

1961～2005年漠河年均温和年均高低温的变化分析

对近四十五年来中国漠河的气温变化作了一个初步分析.根据中国漠河1961～2005年逐日平均、最高、最低气温资料,求得了相应的年均温、年均高温和年均低温,分别对它们进行了线性拟合,结果表明它们在这45年都有所升高,并且由t检验得出线性趋势都是显著的.之后用线性回归模型拟合了年均温与年均高温和年均低温的关系,得出了拟合方程,并由F检验说明了线性回归关系的显著性.最后又采用变系数回归模型的局部线性拟合方法拟合了年均温与年均高温和年均低温的变化关系,从而揭示了年均高温和年均低温对年均温的影响随时间变化的规律,对研究年均温升高的原因具有一定的参考意义.     

Smoothing Newton-Like Method for the Solution of Nonlinear Systems of Equalities and Inequalities

In this paper, we present a smoothing Newton-like method for solving non-linear systems of equalities and inequalities. By using the so-called max function, we transfer the inequalities into a system of semismooth equalities. Then a smoothing Newton-like method is proposed for solving the reformulated system, which only needs to solve one system of linear equations and to perform one line search at each iteration. The global and local quadratic convergence are studied under appropriate assumptions. Numerical examples show that the new approach is effective.     

素数p在Q（6√u）中的素理想分解问题

利用局部域的方法,研究素数p在有理数域的6次根扩张中的素理想分解问题,并完全确定了素数p在Q（6√u）中分解所可能有的形式（pα︱︱u）.为进一步研究素数p在Q（2l√u）中（l为素数）的分解提供了途径.     

广义KdV--BO方程的Cauchy问题的局部适定性的改进结果

In this paper we prove that the Cauchy problem associated with the generalized KdV-BO equation ut ＋ uxxx ＋ λH（uxx） ＋ u^2ux = 0, x ∈ R, t ≥ 0 is locally wellposed in Hr^s（R） for 4/3 〈r≤2, b〉1/r and s≥s（r）= 1/2- 1/2r. In particular, for r = 2, we reobtain the result in [3].     

图的邻点可区别全色数的一个上界

Let G = （V, E） be a simple connected graph, and ｜V（G）｜ ≥ 2. Let f be a mapping from V（G） ∪ E（G） to {1,2…, k}. If arbitary uv ∈ E（G）,f（u） ≠ f（v）,f（u） ≠ f（uv）,f（v） ≠ f（uv）; arbitary uv, uw ∈ E（G）（v ≠ w）, f（uv） ≠ f（uw）;arbitary uv ∈ E（G） and u ≠ v, C（u） ≠ C（v）, where
C（u）={f（u）}∪{f（uv）｜uv∈E（G）}.
Then f is called a k-adjacent-vertex-distinguishing-proper-total coloring of the graph G（k-AVDTC of G for short）. The number min{k｜k-AVDTC of G} is called the adjacent vertex-distinguishing total chromatic number and denoted by χat（G）. In this paper we prove that if △（G） is at least a particular constant and δ ≥32√△ln△, then χat（G） ≤ △（G） ＋ 10^26 ＋ 2√△ln△.     

Enantiomeric separation of acidic compounds using single-isomer amino cyclodextrin derivatives in nonaqueous capillary electrophoresis

The enantiomeric separation of a series of acidic pharmaceuticals (mostly nonsteroidal anti-inflammatory drugs) has been investigated in NACE systems using single-isomer amino beta-CD derivatives. The first part of this study consisted of the selection of the basic experimental conditions to separate efficiently the enantiomers of acidic drugs. Several parameters, such as the nature of the ionic BGE components, were studied and a methanolic solution of ammonium acetate containing the cationic CD was selected as BGE. A D-optimal design with 20 experimental points was then applied and the nature and concentration of the CD were found to have a significant effect on the enantiomeric resolution for all studied compounds. Resolution (R(s)) values were always higher with 6-monodeoxy-6-mono(3-hydroxy)propylamino-beta-CD (PA-beta-CD) compared to those obtained with 6-monodeoxy-6-mono(2-hydroxy)propylamino-beta-CD (IPA-beta-CD). However, the latter led to shorter migration times. Generic NACE conditions were then selected by means of the multivariate approach in order to obtain the highest R(s) values in a minimum amount of time. Finally, dependence of separation selectivity, resolution, as well as mobility difference on chiral selector concentration was discussed and binding constants with PA-beta-CD were estimated for the two enantiomers of one of the model compounds, suprofen in these NACE systems.     

磁场与流场耦合问题中Newton-Laphson方法的收敛性分析(英文)

针对磁场与流场耦合问题的数值分析,提出并证明求解离散化过程所得到的非线性方程组牛顿-拉夫逊方法的-类局部收敛性条件.这-条件不仅给出了时间步长与空间步长、拟压缩因子等之间的关系,而且为数值求解磁场与流场耦合问题的牛顿-拉夫逊方法收敛性提供了理论依据.数值算例表明时间步长的实际取值要比理论值偏大.     

Local density of states around two nonmagnetic impurities in cuprate superconductors

The local density of states (LDOS) around two nonmagnetic impurities which are located at different sites is studied within the two-dimensional t-J-U model. The order parameters are determined in a self-consistent way with the Gutzwiller projected mean-field approximation and the Bogoliubov-de Gennes theory. When the two impurities are located one or two sites away, we find the superconductivity coherence peaks are more strongly suppressed and the zero-energy peak (ZEP) has split into two peaks. Whereas when the two impurities are located next to each other, the ZEP vanished, and LDOS does not change a lot compared with the case away from the impurities.     

毛细管电泳法手性拆分4种氨酸和2种手性药物对映体

以双(6-氧-β-羧甲基-1,4-丁烯二酸单酯)-β-环糊精(DOCB-β-CD）作为手性添加剂,利用毛细管电泳对氨基酸和手性药物对映体进行拆分研究。 以20 mmol/L磷酸盐为缓冲溶液,考察了手性添加剂的浓度及缓冲溶液的pH值与分离电压等对拆分效果的影响,并在其优化条件下,实现了4种DL-氨基酸（苯丙氨酸、色氨酸、酪氨酸和组氨酸）以及手性药物（罗格列酮和酮洛芬）对映体的基线分离。