Local Solution of Three-Dimensional Axisymmetric Supersonic Flow in a Nozzle

In this paper, we construct a local supersonic flow in a 3-dimensional axis-symmetry nozzle when a uniform supersonic flow inserts the throat. We apply the local existence theory of boundary value problem for quasilinear hyperbolic system to solve this problem. The boundary value condition is set in particular to guarantee the character number condition. By this trick, the theory in quasilinear hyperbolic system can be employed to a large range of the boundary value problem.

An Analysis on Cultural Values of Companies from China and the United States——Based on Hofstede's Cultural Dimension Theory

Nowadays, commercial competition is becoming fiercer and fiercer, and with the globalization proceeding, when a company tries to expand, promote and develop, it needs to adapt itself to the open business society while not losing its own culture. Since English has been widely used in the world, an effective and suitable English website is essential for a company to use as a kind of advertisement and publicity, where its cultural values are presented.With companies' websites as subjects and Hofstede's cultural dimension theory as the theoretical basis, this study, through text content and data analysis of company profiles,strategies and cultures, tries to find out the tendency of Chinese and American companies on the five cultural value dimensions,which is power distance, uncertainty avoidance, individualism, masculinity and long-term orientation. Accordingly, constructive suggestions are put forward to help appease and avoid misunderstandings, and promote business communication and collaboration.

Value Orientation and Dimension Expansion of City Image Communication: A Case Study of Chengdu

The image of a city embodies its fundamental values and unique characteristics,representing the essence of its urban culture and spirit.It is considered to be one of the most valuable intangible assets of a city and serves as a crucial driving force for its ongoing development.Taking Chengdu as an example,this paper conducted a comprehensive analysis of Chengdu’s city image communication strategy through various dimensions,such as the city’s value orientation and modes of communication.First,it was necessary to explore the image resources of Chengdu,and based on this,the urban value orientation of“Man-Chengdu,”an extensive strategy used by Chengdu to better communicate its culture,was proposed to facilitate image communication.Second,it was necessary to expand the dimensions of Chengdu’s city image communication.This was achieved by building a resource pool of city image elements,leveraging major media events to promote communication and enhancing the correlation between content and channel platforms.Moreover,efforts were also made to develop people-oriented narrative strategies and give full play to the advantages of new technologies to form an integrated communication mode.Finally,it was crucial to bridge the official and folk communication systems to enable multiple subjects to share Chengdu’s stories from diverse perspectives,thus improving the breadth and validity of Chengdu’s image communication.

Numerical study on three-dimensional flow field of continuously rotating detonation in a toroidal chamber

Gaseous detonation propagating in a toroidal chamber was numerically studied for hydrogen/oxygen/nitrogen mixtures. The numerical method used is based on the three-dimensional Euler equations with detailed finiterate chemistry. The results show that the calculated streak picture is in qualitative agreement with the picture recorded by a high speed streak camera from published literature. The three-dimensional flow field induced by a continuously rotating detonation was visualized and distinctive features of the rotating detonations were clearly depicted. Owing to the unconfined character of detonation wavelet, a deficit of detonation parameters was observed. Due to the effects of wall geometries, the strength of the outside detonation front is stronger than that of the inside portion. The detonation thus propagates with a constant circular velocity. Numerical simulation also shows three-dimensional rotating detonation structures, which display specific feature of the detonation- shock combined wave. Discrete burning gas pockets are formed due to instability of the discontinuity. It is believed that the present study could give an insight into the interest- ing properties of the continuously rotating detonation, and is thus beneficial to the design of continuous detonation propulsion systems.

A combined numerical model of three-dimensional tidal motion and sediment transport in tidal current and its application

A calculation scheme, which combines a horizontal upwind finite element method with vertical implicit differences, is used to establish a three-dimensional mathematical model of tidal motion and sediment transport in tidal current. Compared with those of the relative theoretical formula, the results are satisfactory. The model mentioned above has been applied to the water area of the Lianzhou Bay, Guangxi Province. On the basis of the analysis and comparison with the field data, it shows clearly that the model calculation results are reasonable.

Explicit expressions and recurrence formulas of radial average value for N-dimensional hydrogen atom

In this paper, two recurrence formulas for radial average values of N-dimensional hydrogen atom are derived. Explicit expressions for <n rJ N-2 |r s|n rJ N-2 > are given for 3≥s≥-6. These results can be applied to discuss average value of centrifugal potential energy and other physical quantities. The relevant results of the usual hydrogen atom are contained in more general conclusion of this paper as special cases.

Exponential Convergence of Finite-dimensional Approximations to Linear Bond-based Peridynamic Boundary Value Problems

In this paper, we demonstrate that the finite-dimensional approximations to the solutions of a linear bond-based peridynamic boundary value problem converge to the exact solution exponentially with the analyticity assumption of the forcing term, therefore greatly improve the convergence rate derived in literature.

Existence Results for m-Point Boundary Value Problem at Resonance with One-dimensional p-Laplacian

By using Mawhin＇s continuation theorem, the existence of a solution for a class of m-point boundary value problem at resonance with one-dimensional p-Laplacian is obtained. An example is given to demonstrate the main result of this paper.

Three-Dimensional Nonlinear Dynamic Model and Macro Control of Real Estate

In this paper, according to economics of real estate and macro-control theory, combine with the characteristics of the real estate market, macro-control of the real estate market is studied. After giving the dynamic model of three-dimensional nonlinear differential equations based on the total number of houses on the real estate business, the government’s averages housing investment funds and the standard price, systematically established the stability conditions of equilibrium point for this model. What’s more, through the use of extreme value analysis model, government funds have been invested in real estate business building devotion principles and the construction base of the real estate businessmen has also been estimated successfully. This provides the corresponding theoretical basis for government macro control policy-making.

Exploring the Three-dimensional Framework of Knowledge Service in the field of Library and Information Science(LIS)

The evolution of the society and economy has stimulated the development of Knowledge Service(KS), making it an indispensable solution to address future challenges facing libraries and information institutions. However at present, academic research on knowledge service is falling short and its definition is far from clear and complete. As such,this article proposes the Three-dimensional Framework Knowledge Service(TdFKS) for libraries and information institutions based on the knowledge value chain model. By making reliability analysis and mean value analysis of a questionnaire survey result, the article clarifies the structure of the three-dimensional framework and verifies the rationality of the TdFKS.

Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment

We present a new algorithm for manifold learning and nonlinear dimensionality reduction. Based on a set of unorganized data points sampled with noise from a parameterized manifold, the local geometry of the manifold is learned by constructing an approximation for the tangent space at each point, and those tangent spaces are then aligned to give the global coordinates of the data points with respect to the underlying manifold. We also present an error analysis of our algorithm showing that reconstruction errors can be quite small in some cases. We illustrate our algorithm using curves and surfaces both in 2D/3D Euclidean spaces and higher dimensional Euclidean spaces. We also address several theoretical and algorithmic issues for further research and improvements.

Confucianist Five Constant Virtues and Value Dimension Construction on We Media Credibility

The Confucianism has played a prominent role for thousands of years in boosting the tenacity of the Chinese nation towards innovation and development as well as in promoting and inheriting the traditional Chinese culture. Based on the five constant virtues of Confucianism,this paper analyzes the relationship between "benevolence,righteousness,etiquette,wisdom and credit"and creditability that We Media should construct,and elaborates the construction of value dimension system of We Media's creditability on talents, environments,orientations and innovations from four aspects. Namely,the cognitive and spiritual orientations that reinforce the five constant virtues,the propaganda cultivation that fuses them and the endogenous impetus stimulated by using them as reference.This paper is designed to tell all of the media and media practitioners to constantly remain vigilant of the social responsibilities they are taking and the social value they should create.T hey should take an initiative to guide their serving objects to foster a proper consensus outlook and value and meeting the mass audience's demands and desires on information.

Dimensional Properties and Stretchability of Cotton Interlock with Missing Needle Fabrics

The dimensional properties and uniarial stretchability of cotton interlock and interlock with missing needle are discussed on the basis of definition system for double knits. K values used widely to describe the dimensional properties of plain knitted structures are developed into the study of double knitted structures in this paper. K values are not constants, the numerical values of which will depend on the actual configuration of various knitted structures. It is suggested that the effect of knitted structures on dimensional properties and stretchability can be described by K values.

EXISTENCE OF THREE-SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY VALUE CONDITIONS

The paper deals with the existence of three- solutions for the second- order differential equations with nonlinear boundary value conditions x″=f(t,x,x′) , t∈ [a,b], g1(x(a) ,x′(a) ) =0 , g2 (x(b) ,x′(b) ) =0 , where f :[a,b]× R1× R1→ R1,gi:R1× R1→ R1(i=1 ,2 ) are continuous functions.The methods employed are the coincidence degree theory.As an application,the sufficient conditions under which there are arbitrary odd solutions for the BVP are obtained

On a Class of Two Dimensional Singular Integral Equations

We mainly consider a class of two dimensional normal type singular integral equations, the solutions as well as the conditions of solvability of which are obtained .The methods used consist of transferring them to several one dimensional Riemann boundary value problems, and then solving the latter.

Folded Solitary Wave Excitations for(2+1)-Dimensional Nizhnik-Novikov-Veselov System

在一条改进印射的途径和一条 linear-variable-separation 途径的帮助下，有任意的函数的准确解决方案的一个新家庭(2+1 ) 维的 Nizhnik Novikov Veselov 系统(NNV ) 被导出。基于导出的答案并且用一些多珍视的功能，我们发现一些新合拢的独居的波浪刺激为(2+1 ) 维的 NNV 系统。

Research Progress on Dimension and Indicators of Comprehensive Value Assessment of Anti-Tumor Drugs

Objective To sort out the dimension and indicators of comprehensive value assessment of anti-tumor drugs abroad,and provide a reference for constructing a similar system in China.Methods The keywords such as anti-tumor drugs,value,assessment,method,and framework were used to search CNKI,WanFang database,VIP database,Embase,PubMed and Web of Science.Results and Conclusion According to the research on the value framework of anti-tumor drugs,6 first-level dimensions and 8 second-level indicators with common characteristics were summarized.In view of China’s national conditions,this study summarizes the available value judgment dimensions of anti-tumor drugs at home and abroad,so as to learn from international experience and their mature methodologies,and provide ideas for constructing a multi-dimensional value system of anti-tumor drugs in China.

ANALYSIS OF CHEBYSHEV PSEUDOSPECTRAL METHOD FOR MULTI-DIMENSIONAL GENERALIZED SRLW EQUATIONS

The Chebyshev pseudospectral approximation of the homogeneous initial boundary value problem for a class of multi-dimensional generalized symmetric regularized long wave (SRLW) equations is considered. The fully discrete Chebyshev pseudospectral scheme is constructed. The convergence of the approximation solution and the optimum error of approximation solution are obtained.

三维能量多普勒超声参数联合胎盘生长因子对早发型胎儿生长受限的预测价值

目的探讨三维能量多普勒超声参数联合胎盘生长因子(PLGF)对早发型胎儿生长受限(FGR)的预测价值。方法选取早发型FGR孕妇80例为FGR组,另选取同期产检健康孕妇50例为对照组。在孕11~13周+6对所有研究对象进行三维能量多普勒超声检查,收集胎盘容积(PV)、血管化指数(VI)、血流指数(FI)、血管化-血流指数(VFI)等指标。在孕14~16周+6检测所有研究对象血清PLGF水平。结果FGR组的PV、VI、FI、VFI以及血清PLGF水平均低于对照组,差异有统计学意义(P<0.05)。多元Logistic回归方程分析显示,PV、VI、FI、VFI以及血清PLGF水平过低是早发型FGR的危险因素(P<0.05)。受试者工作特征(ROC)曲线分析显示,PV、VI、VFI以及血清PLGF均对早发型FGR有一定的预测价值,曲线下面积分别为0.723(95%CI:0.629~0.817)、0.776(95%CI:0.693~0.860)、0746(95%CI:0.653~0.839)、0.799(95%CI:0.713~0.884),FI对早发型FGR的预测价值一般,曲线下面积为0.625(95%CI:0.524~0.725)。经分析显示,PLGF联合VI以及PLGF联合VFI对早发型FGR的预测价值较好,PLGF联合VI的敏感度、特异度和约登指数分别为86.25%、76.00%、0.623,PLGF联合VFI的敏感度、特异度和约登指数分别为81.25%、80.00%、0.613。结论三维能量多普勒超声参数联合PLGF对早发型FGR有一定的预测价值,可用于临床筛查早发型FGR高风险人群。

概率区间值犹豫模糊集多属性群决策模型及其应用

目的:研究概率区间值犹豫模糊集及应用。方法:将概率区间值犹豫模糊数,用区间值隶属度的中位数、区间值隶属度的清晰度以及概率构成的三维点坐标进行刻画,在此基础上提出了概率区间值犹豫模糊元的相关运算。根据概率区间值犹豫模糊元的相关运算采用熵值法计算属性权重。最后基于TOPSIS思想给出了一个新的贴近度公式,并利用新的贴近度公式对方案排序。结果:建立的概率区间值犹豫模糊集多属性群决策模型可以有效排序方案。结论:将概率区间值犹豫模糊集采用区间值隶属度的中位数、区间值隶属度的清晰度以及概率来表示不仅可行,而且可以用来解决多属性群决策问题。