Linear Conjugate Boundary Value Problems

We discuss the linear conjugate boundary value problems on the unit circle and the real axis. We obtain some Fredholm integral equations. Using thess equations we discuss the solvable conditions on these problems and we also give a direct method for the extension problems on the real axis.

Missing Values Imputation Based on Iterative Learning

Databases for machine learning and data mining often have missing values. How to develop effective method for missing values imputation is a crucial important problem in the field of machine learning and data mining. In this paper, several methods for dealing with missing values in incomplete data are reviewed, and a new method for missing values imputation based on iterative learning is proposed. The proposed method is based on a basic assumption: There exist cause-effect connections among condition attribute values, and the missing values can be induced from known values. In the process of missing values imputation, a part of missing values are filled in at first and converted to known values, which are used for the next step of missing values imputation. The iterative learning process will go on until an incomplete data is entirely converted to a complete data. The paper also presents an example to illustrate the framework of iterative learning for missing values imputation.

Hilbert Boundary Value Problem with an Unknown Function on Arbitrary Infinite Straight Line

We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary value problem to Riemann boundary value problem, and address it by defining symmetric extension for holomorphic functions about an arbitrary straight line passing through the origin. Finally, we develop the general solution and the solvable conditions for the Hilbert boundary value problem.

An Introduction to the Theory of Field Extensions

This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental. We pay much attention to algebraic extensions. Finally, we construct finite extensions of Q and finite extensions of the function field over finite field Fp using the notion of field completion, analogous to field extensions. With the study of field extensions, considering any polynomial with coefficients in the field, we can find the roots of the polynomial, and with the notion of algebraically closed fields, we have one field, F, where we can find the roots of any polynomial with coefficients in F.

Stability of Operator-Valued Truncated Moment Problems

In this note a multidimensional Hausdorff truncated operator-valued moment problem, from the point of view of “stability concept” of the number of atoms of the obtained atomic, operator-valued representing measure for the terms of a finite, positively define kernel of operators, is studied. The notion of “stability of the dimension” in truncated, scalar moment problems was introduced in [1]. In this note, the concept of “stability” of the algebraic dimension of the obtained Hilbert space from the space of the polynomials of finite, total degree with respect to the null subspace of a unital square positive functional, in [1], is adapted to the concept of stability of the algebraic dimension of the Hilbert space obtained as the separated space of some space of vectorial functions with respect to the null subspace of a hermitian square positive functional attached to a positive definite kernel of operators. In connection with the stability of the dimension of such obtained Hilbert space, a Hausdorff truncated operator-valued moment problem and the stability of the number of atoms of the representing measure for the terms of the given operator kernel, in this note, is studied.

Property(ω_1) and Single Valued Extension Property

In this note we study the property（ω1）,a variant of Weyl＇s theorem by means of the single valued extension property,and establish for a bounded linear operator defined on a Banach space the necessary and sufficient condition for which property（ω1） holds.As a consequence of the main result,the stability of property（ω1） is discussed.

Components of generalized Kato resolvent set and single-valued extension property

In this paper, we use the constancy of certain subspace valued mappings on the components of the generalized Kato resolvent set and the equivalences of the single-valued extension property at a point 0 for operators which admit a generalized Kato decomposition to obtain a classification of the components of the generalized Kato resolvent set of operators. We also give some applications of these results

The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure

In this paper,a generalized form of the symmetric Banzhaf value for cooperative fuzzy games with a coalition structure is proposed.Three axiomatic systems of the symmetric Banzhaf value are given by extending crisp case.Furthermore,we study the symmetric Banzhaf values for two special kinds of fuzzy games,which are called fuzzy games with multilinear extension form and a coalition structure,and fuzzy games with Choquet integral form and a coalition structure,respectively.

Zero Extension Problem for the Heat Equation

In this paper we present a necessary and sufficient condition to guarantee that the zeroextended function of the solution for the heat equation in a smaller cylinder is still the solution of the corresponding extension problem in a larger cylinder.We prove the results under the frameworks of classical solutions,strong solutions and weak solutions.Moreover,we generalize these results to uniformly parabolic equations of divergence form.

数字经济赋能企业出口韧性

利用中国工业企业数据库和中国海关数据库识别数字经济发展对企业出口韧性的因果效应。结果表明:数字经济发展可以显著提升企业出口韧性,这一结论在使用工具变量、改变关键变量衡量指标、改变回归样本、排除其他竞争性解释等稳健性检验后依然成立。机制检验显示,成本节约效应和国内价值链延伸效应是数字经济提升企业出口韧性的重要机制。异质性分析发现,数字经济发展对东部地区企业、一般贸易企业、民营企业和外资企业出口韧性的提升作用更加显著,数字经济对企业出口韧性的提升带来的是“数字红利”而非“数字鸿沟”。

生态产品外延解构与分类体系重建

当前生态产品分类体系存在分类对象与标准不统一、指标体系重叠、与实践需求脱节等问题,不能满足生态产品价值实现工作的现实需求。文章基于分类的基本逻辑规则,在深入解析生态产品内涵和外延的基础上,以促进生态产品价值充分实现和满足现实工作需求为目标,重构了生态产品的五级综合分类体系,并对分类体系在生态产品的目录清单编制、统计核算、保护和开发利用规划、价值考核评价、生态产品损害赔偿等方面的具体应用进行了展望。

非物质文化遗产旅游价值链高端延伸的驱动机理研究

非物质遗产是国家和地区的宝贵财富。非遗产业与旅游业有着共同发展、相互促进的内在关系,因此具备价值链融合和高端延伸的条件。驱动非遗旅游价值链高端延伸,是实现非遗旅游转型升级、高质量发展的有效途径。研究基于价值链理论和推—拉理论,应用扎根理论研究方法范式从57篇期刊论文中识别影响非遗旅游价值链高端延伸的驱动因子,构建非遗旅游价值链高端延伸的驱动机制模型,分析各驱动系统的作用机理,提出针对非遗旅游价值链高端延伸的有效路径,以期提升非遗旅游核心价值和产业竞争力。

基于可拓理论及组合权重赋值的铁路隧道衬砌结构分级评价方法研究

为了对铁路隧道衬砌结构病害进行综合分析,以便科学地评价衬砌结构健康状况,根据铁路隧道衬砌结构评价体系形成的原则,建立了基于可拓理论和组合权重取值方法的铁路隧道衬砌结构状态分级评价体系,细化了分级评价方法的计算流程,在权重取值过程中,采用熵权法和专家意见法相结合,提出一种考虑不同评价等级变化的组合权重赋值方法。以金温货线中湖边一号隧道、小寺一号隧道和魁市隧道衬砌结构状态进行评价,结果表明,三处隧道衬砌结构综合等级特征值分别为3.918、2.544、2.535,评价结果与隧道实际情况较为吻合,表明该方法的可靠性和有效性。

基于DEVA-BASS模型的互联网企业价值评估——以叮咚买菜为例

本文针对互联网企业的潜在用户价值特征,研究互联网企业估值问题。首先,基于互联网企业的网络用户效应,通过将企业的市场竞争力引入BASS模型来刻画市场潜在活跃用户量随网络用户量变化的规律,给出对市场潜在活跃用户量预测的BASS模型改进。然后,在此基础上,通过DEVA模型拓展给出潜在活跃用户价值的DEVA模型表示,构建互联网企业价值评估的DEVA-BASS模型。最后,将DEVA-BASS模型应用于叮咚买菜的企业价值评估案例,说明互联网企业价值评估绝不能仅仅局限于对现有用户价值的评估,更需要根据对用户的市场竞争力情况评估市场潜在用户价值。

民族传统体育文化延伸的价值取向与路径选择

"文化延伸"既可融合民族传统体育文化内涵和形态,又可顾及现代社会发展模式和需求,当属民族传统体育得以挖掘整理、科学研究和传承推广的文化学诠释。民族传统体育文化延伸以规律性文化再生、结构性功能完善、发展性社会适应、内涵式价值增殖为主。价值取向是增强民族传统体育文化软实力、形成蕴含普适性价值观的文化认同、拓展民族传统体育文化的社会功能、诱发民族传统体育文化的正向效应。路径选择为民族体育竞赛—竞艺,学校体育—互联网络,民族体育休闲化、生活化,文化自觉下的途径多样化。

惠民凹陷新生代构造沉降史及波动旋回性分析

运用盆地分析的技术与方法,通过对渤海湾盆地西南部惠民凹陷典型剖面的回剥,揭示出惠民凹陷新生代构造演化规律,并对剖面上不同部位的沉降做出比较,进而反映该凹陷的构造沉降特征;同时,运用波动分析原理,得出反映凹陷形成与发展的主周期波为57Ma和7.5Ma。研究表明,孔店组-沙二段是惠民凹陷断层的主要活动期,控凹断层沉降峰值出现在孔店组沉积期,而控洼断层主要在沙四、沙三段沉降最为强烈;57Ma周期波正好与盆地总体构造旋回性一致;7.5Ma周期波与凹陷内拉张-沉降、不同沉积期间断面的剥蚀情况有较好的对应关系。

一般位值公式及一般初等关联函数构造方法

关联函数是可拓集合的核心,其构造方法是可拓论重要研究课题之一。在文[1]、文[2]基础上,提出一般位值的概念并构造在中点取得最大值的一般初等关联函数,得到若干性质。该初等关联函数具有与文[1]初等关联函数相似的性质,且统一了有公共端点和无公共端点区间类型,能消除量级和量纲的影响,使得可拓优度评价结果更客观,在除了公共端点外的全体实数域内连续且在中点取得最大值,并有更宽的适用范围。

品牌延伸:资产价值转移与理论模型创建

本文通过对品牌延伸(Brand Extension)的研究综述和实证研究,提出决定品牌延伸的三大因子,并在此基础上构成品牌资产价值(Brand Asset Value),进而研究其在品牌延伸过程中的价值转移,从而构成了评估品牌延伸成败的标准,最终将各种因子和评估标准进行整合,提出了品牌延伸的理论模型。

资源整合、价值链延伸与区域经济发展——以海南岛椰子精深加工为例

促进热带区域经济增长的重要措施之一,就是发展热带农产品的精深加工,延伸产品价值链。椰子作为典型的加工潜力巨大的热带农产品,对其进行精深加工,可以大大延伸价值链条,可以数倍甚至数十倍提升其经济效益。当前,通过对区域生产要素的资源整合,可以延伸椰子产业的价值链,即获取高端附加值收益。为了实现区域经济社会效益最大化,椰子产业的进一步发展需要多方协作:政府要进行政策引导,产业要进行区域资源整合,区域要构建高端产业价值链,企业要打造价值链延伸体系。

资源整合对企业价值链延伸的影响研究

本文采用探索性双案例研究方法,从动态视角回顾了两家中国光伏企业在萌芽期、初创期和成长期资源整合过程中资源识取和资源配用的情况,在将企业价值链延伸定义为企业价值创造和获取方式增加的基础上,分析了资源整合影响企业价值链延伸的过程,进而建立了资源整合对价值链延伸影响的过程模型。研究发现:在企业发展的不同阶段,资源识取和资源配用交替发挥主导作用,并通过链式递进关系促进企业价值链的初始定位和后续的动态价值链延伸。本文发现了资源整合对价值链延伸的作用机制,对战略性新兴产业中企业围绕资源整合进行相关经营活动进而增加价值创造与获取方式具有重要指导意义。