非线性互补约束规划问题的一个新的QP-free算法

本文研究了非线性互补约束均衡问题.利用互补函数以及光滑近似法,把非线性互补约束均衡问题转化为一个光滑非线性规划问题,得到了超线性收敛速度,数值实验结果表明本文提出的算法是可行的.     

武汉大学"化学拔尖计划"的探索与实施

详细介绍了武汉大学"化学拔尖计划"的探索与实施,包括学生的选拔机制、培养模式和管理模式。学生的选拔依照"严入口、小规模、高水平"的原则进行;从课程体系、教学内容、教学方法和评价机制四个方面介绍了学生的培养模式;对学生的管理采用导师制和书院制并行的方式。     

粉末衍射峰形拟合程序包CPOWDER

开发了一个Ｘ射线和中子粉末衍射峰形拟合程序包ＣＰＯＷＤＥＲ,它是由多个最小二乘峰形拟合程序与蒙特卡罗分峰程序组成的。最小二乘峰形拟合程序可用于约束条件下的峰形拟合分析,蒙特卡罗分峰程序可用于寻找全局最优解,为最小二乘拟合程序提供优质的峰形参数初始值,两者结合使用特别适合于多个严重重叠峰的分离。     

注重基础促进交叉尊重选择培育英才 ——北京大学化学学科"拔尖计划"十年

北京大学化学与分子工程学院在实施基础学科拔尖学生培养计划过程中,实行动态管理制度,低年级统一培养,高年级通过制定个性化教学方案和参加科研训练的办法遴选拔尖学生,探索"扎根课堂打好基础,依托科研提高能力,着眼交流开阔眼界"的培养模式,实现"以高水平科研带动创新人才培养"的目标。在基础核心课程中设置平行的英文班和阅读讨论班以适应不同学生的需求。2016年,随着北京大学综合改革计划的推进,进一步明确了"一体化、多层次、开放式、重基础、求创新"的教学指导思想,在注重化学基础理论知识和基本实验方法培养、注重数学和物理基础知识学习的基础上,构建多样化和多模式的立体课程体系,为学生提供适合的课程学习和个性化学术发展途径。     

IMEP-24 analysis of eight trace elements in toys

The International Measurement Evaluation Program (IMEP) organised the IMEP-24 interlaboratory comparison after reports in the media about high levels of lead in toys. The aim of this comparison was to verify the laboratories’ capacity to evaluate trace-element levels in a possible toy-like material according to the European Standard EN 71-3:1994. As test material, it used a former certified reference material containing levels of antimony, arsenic, barium, cadmium, chromium, mercury, lead and selenium around the limits set in the standard.Four expert laboratories confirmed the reference values (Xref) for all elements but Hg, and established a reference value for Hg. The scatter of the results reported by the participants was large, as expected, but showed a close to normal distribution around the reference values for five of the eight trace elements. The spread of results was mainly attributed to sampling and sample preparation.One major issue observed in this exercise was the lack of legislative rules about how to report the result, or, more specifically, the use of the analytical correction, which was introduced in EN 71-3:1994 to achieve consistent interpretation of results and which is to be applied when values are equal to or above the maximum limits set in the standard. Its application by the participants was very inconsistent and led to problems in their evaluation. There is clearly a need for clarification and for more formal regulations with regard to result reporting in order to minimise the risk of confusion.Participants were also asked to give their opinion with regard to the acceptability of the test material for the market. The majority correctly considered the material as non-compliant. However, almost one-third incorrectly assessed the material as compliant.     

IMEP-24 analysis of eight trace elements in toys

The International Measurement Evaluation Program (IMEP) organized the IMEP-24 interlaboratory comparison after reports in the media about high levels of lead in toys. The aim of this comparison was to verify the laboratories’ capacity to evaluate trace-element levels in a possible toy-like material according to the European Standard EN 71-3:1994. As test material, it used a former certified reference material containing levels of antimony, arsenic, barium, cadmium, chromium, mercury, lead and selenium around the limits set in the standard.Four expert laboratories confirmed the reference values (Xref) for all elements but Hg, and established a reference value for Hg. The scatter of the results reported by the participants was large, as expected, but showed a close to normal distribution around the reference values for five of the eight trace elements. The spread of results was mainly attributed to sampling and sample preparation.One major issue observed in this exercise was the lack of legislative rules about how to report the result, or, more specifically, the use of the analytical correction, which was introduced in EN 71-3:1994 to achieve consistent interpretation of results and which is to be applied when values are equal to or above the maximum limits set in the standard. Its application by the participants was very inconsistent and led to problems in their evaluation. There is clearly a need for clarification and for more formal regulations with regard to result reporting in order to minimize the risk of confusion.Participants were also asked to give their opinion with regard to the acceptability of the test material for the market. The majority correctly considered the material as non-compliant. However, almost one-third incorrectly assessed the material as compliant.     

《共同纲领》与新中国的不成文宪法（1949−1954）

统一战线与政治协商会议各有各的历史传统,它们是在1948−1949年新的政治协商会议筹备过程中逐步被认知并结合起来的,从而使得统一战线获得政治协商会议这种组织形式,而政治协商会议也因此获得了新的基础与性质。中国人民政治协商会议第一届全体会议具有双重属性,既作为统一战线的组织形式,又作为全国人民代表大会的临时代行机关,这种双重属性决定了“三大文件”不同的性质与功能。《政协组织法》和《共同纲领》本质上是党派间的政治合意,是政协作为统一战线组织形式的自我立法,《政府组织法》建构了中央人民政府,在内容上更接近于现代成文宪法,是政协第一届全体会议作为全国人民代表大会临时代行机关的政治决断。“三大文件”虽然具有不同的属性和功能,但共同构成中华人民共和国成立的法权基础,成为1949−1954年间中国的“不成文宪法”。     

A polynomially bounded algorithm for a singly constrained quadratic program

This paper presents a characterization of the solutions of a singly constrained quadratic program. This characterization is then used in the development of a polynomially bounded algorithm for this class of problems.     

Entropy in linear programs

This paper treats entropy constrained linear programs from modelling as well as computational aspects. The optimal solutions to linear programs with one additional entropy constraint are expressed in terms of Lagrange-multipliers. Conditions for uniqueness are given. Sensitivity and duality are studied. The Newton—Kantorovich method is used to obtain a locally convergent iterative procedure. Related problems based on maximum entropy or minimum information are discussed.