Some Implications of the Gessel Identity

We generalize the congruences of Friedmann-Tamarkine (1909), Lehmer (1938), and Ernvall-Metsänkyla (1991) on the sums of powers of integers weighted by powers of the Fermat quotients to the next Fermat quotient power, namely to the third power of the Fermat quotient. Using this result and the Gessel identity (2005) combined with our past work (2021), we are able to relate residues of some truncated convolutions of Bernoulli numbers with some Ernvall-Metsänkyla residues to residues of some full convolutions of the same kind. We also establish some congruences concerning other related weighted sums of powers of integers when these sums are weighted by some analogs of the Teichmüller characters.

Cultural Identity and Translator's Style: Case Study of Translation of Tea Relevant Acts in Hong Lou Meng

From the methodological perspective, the thesis summarized leisure tea act, judging-time tea act to map translator's style. Through investigations on all these, the thesis succeeded in confirming the translator's styles and pinpointing cultural identity as essential factors influencing their styles. Hopefully, this could help to provide a new angle of view to make research on translator's style. Moreover, the thesis wishes that with analysis of tea culture in Hong Lou Meng the translation of tea relevant acts receive greater priority in the Chinese Classics Translation.

The quadratic-form identity for constructing Hamiltonian structures of the Guo hierarchy

The trace identity is extended to the quadratic-form identity. The Hamiltonian structures of the multi-component Guo hierarchy, integrable coupling of Guo hierarchy and （2＋l）-dimensional Guo hierarchy are obtained by the quadraticform identity. The method can be used to produce the Hamiltonian structures of the other integrable couplings or multi-component hierarchies.

Identity Issue and Mysterious Images in the Bonesetter's Daughter

This paper is going to do a research on the book The Bonesetter's Daughter and will make an analysis of mysterious images appear in the novel which can be considered as symbols that reflect the culture of orient. And it also looks into the identity issue of Chinese American women from postcolonial perspective.

The Three Principles of Institutional Safeguards for Women's Participation in Legislation in China

The participation of women in legislation is an important aspect and means of safeguarding women’s rights.Feminist theory,based on criticism of both the“citizenship identity theory as rights”and the“citizenship identity theory as responsibilities,”proposes the“citizenship identity theory as subjectivity.”Observing the current practice of women’s participation in legislation in China,two institutional safeguard principles can be summarized:the“minimum proportion”and the“influence evaluation.”However,each of these principles has its inherent limitations.Therefore,it is necessary to supplement them with the principle of“subjective participation”in a reflective manner.This principle requires women to participate substantively in the legislative process as subjects,express women’s needs and demands,input women’s perspectives and experiences,and reconstruct the distribution of rights and responsibilities in the existing legislation.The three principles complement each other and work together to comprehensively constitute the institutional structure of women’s participation in legislation,thereby promoting the reproduction of corresponding action structures.

POE和PBL教学策略下的物理实验探究——以楞次定律为例

很多教师在“探究影响感应电流方向的因素”实验中对于如何有效引导学生提出感应电流磁场这一概念,归纳形成简洁的、具有普遍意义的结论心存疑惑.在POE教学策略和PBL问题导向下,从物理规律出发,巧妙改进教材中实验情境,利用力学知识,深度分析楞次定律的内涵本质.

Translator's Identity in the English Translation of Wenxin Diaolong

In the article Owen’s and Yang Guobin’s English versions of Wenxin Diaolong are compared from the perspective of a translator’s identity.Owen is a translator of A-merican origin while Yang Guobin is of Chinese origin.Their multiple identity as a reader,author,creator and cultural communicator differs much from each other,which produces important influences upon the selection of the strategy of translation.Owen prefers foreignizing translation while Yang favors domesticating translation.The English translation of Wenxin Diaolong provides much value for the research on the translation of Chinese classic literature.

The Enclosed Personal Space and Female Identity Construction in A. S. Byatt's Possession

From the perspective of feminism, by analyzing single intellectual women's living states in enclosed personal spaces, andcomparing their different spatial changes triggered by external intrusions, this essay intends to explore Byatt's ambivalent attitudestowards the feminists' pursuit for a room of one's own, and point out the significance of harmonious co-existence between men andwomen to female identity construction.

Negative Evaluation and Author’s Identity Construction in Chinese and English Academic Book Reviews

Evaluation,especially negative evaluation,is an important element in academic book reviews.Unfortunately,previous studies on evaluation strategies in Chinese and English book reviews are still limited in number.Recently,identity construction has been a hot research issue in various fields of social science.However,few studies have ever been conducted on how book reviewers construct various identities with the use of evaluation strategies.As such,this thesis tries to investigate how the negative evaluation,the most direct face-threatening evaluation,are linked closely to author’ s identity construction in Chinese and English book reviews,how the Chinese and English book reviewers make salient their appropriate identities with the skillful use of discourse strategies so as to avoid possible face-threatening.The present study collects fifteen Chinese and fifteen English academic book reviews as research data.An analysis of the data indicates that while there are similarities,there are also distinctive differences in the use of negative evaluation strategies and author’ s identity construction in Chinese and English book reviews.Specifically,with the use of negative evaluation,four important identities are constructed,namely,the author’ s identities as an authoritative writer,a polite and friendly evaluator,a responsible opinion holder and a kind academic ally.

Constructing Writer Identity in Developing Second Language Writer's Academic Writing

Writer identity in academic writing has long been ignored by developing L2 writers.Moreover,research has much focused on the reader in shaping writing,and treated the role of the writer as unproblematic.In this essay,the construction of writer identity in developing writers’academic writing practice will be explored through a review of some relevant literature research and gain insights for the development of writer apprentices and writing instruction.

Unification of Gravitational and Electromagnetic Fields in Curved Space-Time Using Gauge Symmetry of Bianchi Identities

This paper deals with the generalization of the linear theory of the unification of gravitational and electromagnetic fields using 4-dimensional gauge symmetry in order to solve the contradictions from the Kaluza-Klein theory’s unification of the gravitational and electromagnetic fields. The unification of gravitational and electromagnetic fields in curved space-time starts from the Bianchi identity, which is well known as a mathematical generalization of the gravitational equation, and by using the existing gauge symmetry condition, equations for the gravitational and electromagnetic fields can be obtained. In particular, the homogeneous Maxwell’s equation can be obtained from the first Bianchi identity, and the inhomogeneous Maxwell’s equation can be obtained from the second Bianchi identity by using Killing’s equation condition of the curved space-time. This paper demonstrates that gravitational and electromagnetic fields can be derived from one equation without contradiction even in curved space-time, thus proving that the 4-dimensional metric tensor using the gauge used for this unification is more complete. In addition, geodesic equations can also be derived in the form of coordinate transformation, showing that they are consistent with the existing equations, and as a result, they are consistent with the existing physical equations.

Algorithms and Identities for(q, h)-Bernstein Polynomials and(q, h)-Bézier Curves–A Non-Blossoming Approach

We establish several fundamental identities, including recurrence relations, degree elevation formulas, partition of unity and Marsden identity, for quantum Bernstein bases and quantum Bezier curves. We also develop two term recurrence relations for quantum Bernstein bases and recursive evaluation algorithms for quantum Bezier curves. Our proofs use standard mathematical induction and other elementary techniques.

GENERALIZED BIANCHI'S IDENTITIES FOR VARIANT CONSTRAINED SYSTEM

In this paper the generalized Bianchi's identities for the variant constrained system (GBIVOS)w ith non-invariant action integral and constraint conditions was derived, and the strong and weak conservation laws for such system was deduced. The preliminary applications of the GBIVCS to the case for some models of field theories was given. The Dirac constraint of such system was discussed.

Determination of the Henry’s Law Constant of Hexane in High-Viscosity Polymer Systems

The Henry’s law constant of volatiles in polymer systems is a crucial parameter reflecting the gas-liquid equilibrium,which is very important for devolatilization.In this research,polyolefin elastomer(POE)-cyclohexane and polydimethylsiloxane(PDMS)-hexane systems were studied,and the Henry’s law constant was obtained by measuring the gas phase equilibrium partial pressure when polymer solutions containing different mass fractions of volatiles reached a saturated state.The effects of temperature,type of volatiles,and polymer viscosity on the gas phase equilibrium partial pressure and Henry’s law constant of the volatiles were investigated.The results indicate that,with the increase of temperature and polymer viscosity,the gas phase equilibrium partial pressure and Henry’s law constant of volatiles increase.As temperature increases,the solubility of gas in liquid decreases.The relationship between the Henry’s law constant and temperature is consistent with the Arrhenius law.In the PDMS-hexane system,the gas phase equilibrium partial pressure and Henry’s law constant of n-hexane are higher than those of cyclohexane.The obtained Henry’s law constants can be used as a reference for perfecting the devolatilization process and improving the devolatilization effect.

A Novel Fusion System Based on Iris and Ear Biometrics for E-exams

With the rapid spread of the coronavirus epidemic all over the world,educational and other institutions are heading towards digitization.In the era of digitization,identifying educational e-platform users using ear and iris based multi-modal biometric systems constitutes an urgent and interesting research topic to pre-serve enterprise security,particularly with wearing a face mask as a precaution against the new coronavirus epidemic.This study proposes a multimodal system based on ear and iris biometrics at the feature fusion level to identify students in electronic examinations(E-exams)during the COVID-19 pandemic.The proposed system comprises four steps.Thefirst step is image preprocessing,which includes enhancing,segmenting,and extracting the regions of interest.The second step is feature extraction,where the Haralick texture and shape methods are used to extract the features of ear images,whereas Tamura texture and color histogram methods are used to extract the features of iris images.The third step is feature fusion,where the extracted features of the ear and iris images are combined into one sequential fused vector.The fourth step is the matching,which is executed using the City Block Dis-tance(CTB)for student identification.Thefindings of the study indicate that the system’s recognition accuracy is 97%,with a 2%False Acceptance Rate(FAR),a 4%False Rejection Rate(FRR),a 94%Correct Recognition Rate(CRR),and a 96%Genuine Acceptance Rate(GAR).In addition,the proposed recognition sys-tem achieved higher accuracy than other related systems.

下肢康复训练机器人协作控制与S型规划算法研究

针对下肢康复训练机器人协作控制与S型规划算法展开研究,寻找能够降低机器人驱动器控制过程中冗余振动的方法.首先利用指数积(POE)法建立了各关节连杆的相对转换关系;然后针对下肢康复机器人的特点,应用拉格朗日法求解机器人动力学问题,针对模型参数采用辨识方法实现了动力学参数获取,进而实现了下肢康复训练机器人协作控制;最后提出一种S型轨迹插补规划方法,根据定义的限制条件值给出了所有可能的轨迹形状,并且保证没有机械谐振激励.实验结果表明:协作控制与S规划算法对机器人操作性能有很大的提升,同时对于机器人的精确运动控制有着重要的意义.

贝斯方法与Dempster-Shafer证据理论的讨论

目前 ,实时C3 I系统中主要应用的判决级属性估计方法有贝斯方法和Dempster Shafer证据理论。在获得目标参数数据之后 ,通过对多个参数数据的融合获得所要识别的属性。文中介绍了贝斯方法和Dempster Shafer证据理论的基本原理和融合过程 ,将两者进行比较并给出一个实例。最后展望了属性估计方法的发展。

基于ASP．NET的B／S架构下的项目管理系统的网络安全模式设计

本文介绍了基于ASP.NET平台B/S架构的项目管理系统网络安全的设计,分析了ASP.NET的三层网络结构的安全机制,给出了通过身份验证、权限控制、数据加密、存储过程访问数据库等手段实现系统的安全性的技术细节。

新型S/KEY认证方案的分析与设计

分析传统S/KEY型一次性口令认证系统的缺陷,提出一种新型的S/KEY认证方案,实现客户端与服务器的双向认证,可进行会话密钥协商,且每次认证产生不同的会话密钥。该方案可有效抵御重放攻击、小数攻击、破坏协议攻击和冒充攻击,对中间人攻击也有较强的防御作用。

s-对数凸函数的Hermite-Hadamard型积分不等式

该文定义了"s-对数凸函数"的概念,并给出了可微s-对数凸函数的若干个HermiteHadamard型积分不等式,作为应用给出了平均数的几个不等式.