REMARK ON BANACH-STEINHAUS THEOREM

In this paper, we have proved the generalized form of the inverse theorem of resonance theorem for additive and convex functions in the normed linear space under much more weak conditions.     

紫苏细胞悬浮培养生产迷迭香酸的条件优化

[目的]本研究以紫苏愈伤组织为原材料,对液体悬浮培养生产迷迭香酸的培养条件进行了研究。[方法]通过单因素试验,分别考察培养时间、初始接种量、激素浓度及苯丙氨酸浓度对迷迭香酸含量的影响,并在单因素试验基础上,采用Box-Behnken中心组合设计和响应面法对最佳培养条件进行优化,建立了二次多项式回归方程的预测模型。[结果][结论]研究结果表明,紫苏细胞液体悬浮培养生产迷迭香酸的最佳培养条件为：6-BA浓度2.34 mg/L、NAA浓度0.96 mg/L、2,4-D浓度0.60 mg/L、苯丙氨酸浓度0.1 g/L,迷迭香酸含量可达23.61 mg/g。     

Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems

A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces. Then, several optimality conditions are obtained for differentiable vector extremum problems with set constraint by applying the sufficient and necessary optimality conditions and the properties of the twice G-differentiable functions. And finally, the vector-valued Lagrange duality is obtained for the vector extremum problems.     

Optimality Conditions for Vector Optimization of Set-valued Maps

Kuhn Tucker optimality conditions and Lagrange multipliers for vector optimization problems with subconvexlike set valued maps wereestablished by Li zemin. Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper. Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established. Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.     

The Convergence of a 2-Block AOR Method for Large-Scaled Least-Square Problems

A necessary and sufficient condition and some sufficient conditions concerning the convergence of a 2-block AOR method for large-scaled least-square problems are given. It is shown that, by appropriately selecting parameters, the 2-block AOR method is always convergent and the theorem in [3] is only a corollary of this paper.     

生态、品种和栽培措施及其互作对烤烟主要化学成分含量的影响

为探讨生态、品种、栽培措施及其互作对烤烟主要化学成分（还原糖、总氮和烟碱）含量的影响,在河南、山东、陕西3个烟区,以‘豫烟10号’‘、粤烟98’‘、K326’‘、湘烟3号’为研究材料,设置不同的栽培措施,采用方差分析的方法比较烟叶化学成分含量的差异。结果表明：烟叶主要化学成分含量的变异系数在生态间最大,在品种、栽培措施间较小。生态、品种、栽培措施及其互作对还原糖、总氮、烟碱含量均有显著的影响,生态条件对烟叶还原糖、总氮、烟碱含量的贡献率分别为53.92%、24.33%和77.41%,其次是互作效应和品种,栽培处理的贡献率最小。烟叶还原糖和烟碱含量与成熟期和旺长期的降雨量、日照时数关联度较大;烟叶总氮含量与旺长期、成熟期和团棵期的总日照时数关联度最大。生态条件对烟叶化学成分的影响大于品种和栽培措施,是影响烟叶化学成分的主要因素。整个大田期以降雨量和日照时数与烟叶化学成分相关性较大。     

The Corner Point Processing and Absorbing Boundary Conditions in Finite-Difference Time-Domain

ABC(Absorbing Boundary Conditions) is an important component part in FDTD(Finite-Difference Time-Domain) method,the processing of corner point affect ABC itself,that is,the inadequate processing of them may cause unnaturally results.The processing of corner points in traditional second-order absorbing boundary condition for 2D case is complex,and it is difficult to extend to 3D case.For these reasons,a simpler method about the corner points based on unidirectional out traveling wave absorbing theorem is discussed in this paper,and validated by a numerical method proposed by authors.The results show that this method satisfies the demands for ABC and is more efficient and more precise.Meanwhile,it is easy to extent to 3D case.     

The Stability of Quaternion Metrices and Their Judging Criteria

Some conceptions of stable quaternion matrices and some judging criteria are given.The Robrach theorem,Taussky theorem,Ostrowski Schneider theorem and Gerschgorin theorem are generalized to quaternion field.The conclusion about two quaternion matrices,i.e.,inferior positive matrices are unstable,interior negative matrices are stable and some other results are pointed out.     

MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH SET FUNCTIONS

Systematically discusses the fundamental theorems of weak efficient solution, efficient solution and properly efficient solution for multiobjective fractional programming problems with set functions. Under suitable conditions, we give some theorems connecting multiobjective fractional programming with set functions and its scalarization problems as well as the corresponding saddle point problems.     

Integration Strategy for Thermal-Elastic-Plastic Models of Concrete under Plane Stress

Plastic strain was determined at multiple time increments.The strain was caused by stress and temperature.The yield function in high-temperature states is the function of temperature and plastic strain.The calculation efficiency would be decreased and much more calculation would be needed if a conventional method,such as the radial return method,was used.In the case of axial stress states,the temperature path was difficult to determine at various time intervals.Initial value equations were obtained with the Drucker-Prager function of plane stress concrete.This method can solve the previously mentioned problems efficiently when used with the Runge-Kutta integration strategy.A program was developed with an updated co-varying coordinate finite element method based on the S-R decomposition theorem.Computational results show that the integration strategy is highly accurate and efficient.     

THE THEOREM OF STATIONARY VALUE OF WEIGHTED ENERGY AND ITS WEIGHTING FUNCTIONS

This paper presents two energy functionals which are made as stationary values. Thus, the theorem of stationary value of weighted generalized potential energy and the theorem of stationary value of weighted generalized complementary energy are established. In the first theorem, the stress boundary weighting function must be equal to the internal weighting function while the displacement boundary weighting function is independen; and in the (?)econd theorem, the displacement boundary weighting function must be equal to the internal weighting function while the stress boundary weighting function is independent.     

A Stolving method for a group of differential equations and the solution of circular plate thermo-bending

A theorem solving a group of non-homogeneous linear differential equations tlirough integrating its basic solutions is putforward and proved,the mothematical play and physical natrue of the theorem is expouded, As an example,the theorem is applied to solving the question of thermo-bending of circular plate irradiated by laser.     

Optimality Conditions for Set-Valued Vector Minimization Problem

For set valued vector minimization problem with inequality constraint, a sufficient optimality condition theorem and a necessary Fritz John type optimality condition theorem is derived in terms of the generalized contingent epiderivative. Finally,a Kuhn Tucker necessary type optimality condition theorem for the set valued vector minimization problem is presented in terms of contingent epiderivative.     

Optimality Conditions for Nonsmooth Extremum Problems in Topological Vector Spaces

Some new concepts of coneD_s convexity,coneD-s quasiconvexity,cone D-s pseudoconvexity,s right derivative of vector value mapping are proposed;and their related properties are discussed;the optimality necessary conditions and sufficient conditions for constrained extremum problem(VP)involving in cone D-s convex mapping are extablished;the relation between local optimal solution and global optimal solution;as well as the relation between weakly efficient solution and efficient solution for (VP) are derived;the corresponding results generalize the related results of classic convex programming.     

Approximation of the necessary and sufficient conditions for stability of Takagi Sugeno fuzzy control systems

An extensive analysis on the existing results for the stability of Takagi Sugeno fuzzy control is given. For the Lyapunov functions, the common quadratic Lyapunov functions, piecewise quadratic Lyapunov functions, fuzzy Lyapunov functions, nonquadratic Lyapunov functions and homogenously polynomially parameterized Lyapunov functions are considered. For the control laws, the parallel distributed compensation laws, non parallel distributed compensation laws and homogenously polynomially parameterized control laws are considered. Based on the analysis, by applying the Polya's theorem and the techniques for homogenous polynomials, the approaches for approximating the necessary and sufficient conditions for stability of T S fuzzy control are given.     

Irregular Sampling Theorem on the Frame

From the space V 0 , the scaling function of it is found. It is possible to transform the frame of V 0 into Riesz base of it (of course, the orthogonal bases are also Riesz bases),so that the irregular sampling theorem on the frame is changed into the one on the Riesz bases, in other words, the irregular sampling theorem on the Riesz bases is extend onto the frame. The irregular theorem on the frame can be used to the signal process.     

A Minimax Theorem about Saddle Functional

A minimax theorem is proved by taking advantage of Ekeland's variationalprinciple and the P. S. condition. This theorem can be regarded as an improvement of the theoremdue to Manasevich.     

Dual Theory of Nonsmcoth Multiobjective Programming with Set Functions

In this paper,for a nonsmooth multiobjective programming with set functions,Wolfe type duality and MondWeir type duality are established. Weak dual theorem,direct dual the-orem and in verse dual theorem about effictent solution are discussed.     

4,4’-二(苯并[e][4H-4-氧-1,3-]恶嗪并[2,3-c][1,2,4]-三氮唑)的合成及活性研究

为了发现具有良好抑菌和除草活性的1,2,4-双三唑化合物,以草酸二乙酯、85%水合肼、水杨酸等为原料,合成了一个新的标题化合物4,4’-二(苯并[e][4H-4-氧-1,3-]恶嗪并[2,3-c][1,2,4]-三氮唑)。标题化合物的结构经IR、1H NMR和13C NMR进行确证。采用生长速率法和琼脂混药法研究了标题化合物的抑菌活性和除草活性。结果表明：标题化合物对小麦赤霉病原菌(Gibberella zeae)、棉花枯萎病原菌(Fusarium oxysporium)、苹果腐烂病原菌(Valsa mali)、苹果轮纹病原菌(Physalospora nasei)、番茄早疫病原菌(Ternaria solani)和黄瓜疫霉病原菌(Phytophthora melonis)都有一定的抑制作用,对小麦赤霉病菌的抑制活性尤为突出,其抑菌率及EC50值分别为86.6%和24.8 mg/L。标题化合物对生菜有很好的抑制作用,浓度为50 mg/L和200 mg/L时对生菜胚根的抑制率分别为94.5%和95.8%;浓度为200 mg/L时对胚轴的抑制率达到93.8%;当浓度为400 mg/L时对生菜胚根和胚轴的抑制率都接近100%。     

中国农村能源碳排放生态压力研究

[方法]在对2006-2013年我国农村十种主要生活能源消费量及社会经济统计数据的基础上,计算了EEF、EFC的值,构建STIRPAT模型和改进脱钩指数法,[目的]分析2006-2013年的时间序列下中国农村能源碳排放生态压力。[结果]结果显示：(1)煤炭、秸秆、薪柴的年消费量平均分别以1.58%、3.16%和4.26%的速率降低,电力、成品油、液化石油气、煤气、沼气和太阳能的平均分别以25.99%、8.53%、22.78%、4.02%、34.85%、12.82%、9.11%的速率增长;(2)我国农村能源供给超过需求,生活能源消费未对乡村环境形成生态压力;(3)能源利用效率不断提高,单位土地面积和能源碳排放带来的经济价值不断提升;(4)适度降低人口规模、优化人口结构是建设乡村的有效办法;(5)技术是模型中能源碳排放生态压力的唯一抑制因素,对技术进行创新是当前进行乡村建设重要途径。[结论]我国能源消费模式还有巨大的提升空间,还应进一步加强政府调控、注重引导居民绿色消费观,使我国乡村建设向可持续发展方向稳步前进。