图的k-星着色的Grbner基求解

对于具有n个顶点的简单连通图G,首先证明求解G的k-星着色等价于一个多元多项式方程组在{1,2,…,k}上的求解问题,其次使用Grbner基给出求解该多元多项式方程组的方法,从而得到求G的星色数的一个可行途径,最后通过实例验证了此代数计算方法的有效性.     

System deployment optimization in architecture design

Optimization of architecture design has recently drawn research interest. System deployment optimization （SDO） refers to the process of optimizing systems that are being deployed to activi- ties. This paper first formulates a mathematical model to theorize and operationalize the SDO problem and then identifies optimal so- lutions to solve the SDO problem. In the solutions, the success rate of the combat task is maximized, whereas the execution time of the task and the cost of changes in the system structure are mini- mized. The presented optimized algorithm generates an optimal solution without the need to check the entire search space. A novel method is finally proposed based on the combination of heuristic method and genetic algorithm （HGA）, as well as the combination of heuristic method and particle swarm optimization （HPSO）. Experi- ment results show that the HPSO method generates solutions faster than particle swarm optimization （PSO） and genetic algo- rithm （GA） in terms of execution time and performs more efficiently than the heuristic method in terms of determining the best solution.     

木枣多糖的理化特性研究

木枣经超声波辅助酸性缓冲液浸提、醇沉、脱蛋白和脱色工艺制得木枣多糖,测定其溶解性与单糖组成,采用Q2000型差示扫描量热仪和ZX7M-AR1000型流变仪研究木枣多糖的稳定性和流变性,为其在食品工业中的应用提供理论数据支持。实验结果表明,木枣多糖溶于热水,难溶于冷水,不溶于有机试剂；是由鼠李糖、阿拉伯糖、甘露糖、葡萄糖、半乳糖组成的杂多糖。热学特征分析表明木枣多糖具有较好的热稳定性；木枣多糖溶液为非牛顿假塑性流体,表现出剪切变稀的特性；因此木枣多糖适用于在食品生产工业中做稳定剂。     

A review of the genus Sisyrophanus Karsch 1886 (Diptera: Bombyliidae)

The Afrotropical genus Sisyrophanus Karsch is reviewed and a key is provided for the separation of the eight known species, including Sisyrophanus stylifer sp. nov. which is described from Burundi and Tanzania.     

A behavioural inventory of adult Stenus species (Coleoptera: Staphylinidae)

According to focal animal sampling, the genus-specific behaviour of Stenus beetles (Coleoptera, Staphylinidae) can be presented in the form of a comprehensive ethogram including 73 distinct behavioural patterns. Most observed behavioural patterns can be assigned to five functional systems: ‘feeding’, ‘reproduction’, ‘grooming’, ‘resting’ and ‘protection’. In addition to grooming behaviour, searching behaviour takes a large amount of time (50–90% of the total observation time), which is indicative of the broad prey spectrum of Stenus species. The biological significance of selected behavioural aspects concerning ‘searching for prey’, ‘prey capture’, ‘mating’, ‘self-grooming’ and ‘locomotion on the water surface’ is addressed in the discussion.     

不允许卖空限制下跳扩散模型的动态均值-方差资产负债问题

研究了在不允许卖空情况下跳扩散模型的动态均值一方差资产负债问题。本文利用两个黎卡提方程构造出HJB方程的一个连续解V（t，x），然后验证这个解是方程的粘性解，并利用粘性解和识别定理得到了最优投资策略和有效边界。     

Higher-order principal component pursuit via tensor approximation and convex optimization

Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.     

一类无非平凡有理整点的椭圆曲线y~2=x(x-p)(x-q)

令p、q为两个素数,且p+4=q。本文证明了椭圆曲线y2=x(x-p)(x-q)没有非平凡有理整点.同时得到了一类无整解的负Pell方程组和一类无整解的四次丢番图方程.     

鸡白痢沙门氏菌O12特异性噬菌体的分离及生物学特性研究

采用双层平板培养法从成都某养鸡场的污水样本中分离得到一株鸡白痢沙门氏菌O12 (宿主菌)的噬菌体(Ph-1), 并对菌斑形态及理化特性进行了初步研究. 试验结果显示, 纯化后该噬菌体的噬菌斑直径约3mm; 经高于60℃温度处理1h 后噬菌体失活; PH5-7时该噬菌体可保持较高效价和较强的紫外线耐受性; 该噬菌体的最佳感染复数(MOI)为 0.01-0.001; 一步生长曲线显示该噬菌体的潜伏期为40min, 裂解期持续60min.