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.

N次幂下S-凸函数和其性质研究

以凸函数、S-凸函数、平方凸函数、平方S-凸函数的定义和性质为研究基础,根据从平方凸函数到平方S-凸函数的演变推进过程,采用了凸函数概念的代数不等式形式,给出了N次幂下S-凸函数的概念,并对其判别定理和性质进行了讨论,定义并证明了N次幂下S-凸函数的Jensen型不等式。研究表明,N次幂下S-凸函数包含了凸函数、平方凸函数、平方S-凸函数的性质,是凸函数的一种广义凸函数的推广,开辟了全新的推广途径。

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.

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.

r次幂平均s-凸函数及其Jensen型不等式

考虑了函数的凸性及其广义凸性,提出并研究了r次幂平均s-凸函数,讨论了它的若干判定定理及运算性质,建立了其Jensen型不等式,并给出了Jensen型不等式的等价形式及推论.研究结果表明,r次幂平均s-凸函数是算术凸函数(凸函数)、几何凸函数、调和凸函数、平方凸函数、调和平方凸函数以及r-平均凸函数的推广,为研究新的凸函数和推广拓展凸函数概念探索了一条新途径.

AM(s)-凸函数及其Jensen型不等式

针对函数的凸性及其广义凸性,研究凸函数的推广问题.首先引入了n个正数的加权r次幂s-平均的概念和记号,并利用加权r次幂s-平均定义了AM(s)-凸函数;然后用符号化的方式讨论了AM(s)-凸函数的判定定理和运算性质;最后,证明了AM(s)-凸函数的Jensen型不等式,并给出了其等价形式.研究结果表明,AM(s)-凸函数是包含众多凸函数的一类广义凸函数,运用加权r次幂s-平均定义和研究AM(s)-凸函数是对凸函数进行推广和研究的有效方法,同时也为凸函数的拓展推广和深入研究探索了一条新的途径.

代数函数的Jensen不等式的加细与推广

代数函数的Jensen不等式可表述为:设ai>0,i=1,2,…,n,r>1)(或r<1).则有(a1+a2+…an)r>(<)ar2+ar2+…+arn成立.本文作者将这个不等式进行了加强与推广,并将此结果用于Safta猜想的相关问题.

多元Jensen不等式及其应用

简明扼要地给出了多元凸函数的最一般概念,简化了Jensen加权不等式及Jensen积分不等式的证明,定理的证明方法采取了由特殊到一般的归纳证法,导出了某些特殊不等式作为其应用。

g-期望关于多元函数的Jensen不等式的充分性研究

基于g-期望的Jensen不等式成立时,由g-期望定义的不确定条件下的效用函数才能描述不确定厌恶或不确定偏爱。当生成元g满足超齐次性和反次可加性时,g-期望关于二元函数的Jensen不等式成立,推广得到g-期望关于多元函数的Jensen不等式成立的充分条件,并得到了g-期望关于多元函数的Jensen不等式成立的充要条件。

Jensen’s和Graham’s等式的推广

本文对Jensen与、Graham等式进行了推广,并得到了恒等式:∑k≤mm+r()kxkym-k=∑k≤m-r()k(-x)k(x+y)m-k.

关于非线性动态相容评价的Jensen不等式(英文)

得到了关于由Peng[1,2]给出的非线性动态相容评价的Jensen不等式2个等价条件.而且,我们也得到了关于由倒向随机微分方程(BSDEs)诱导产生的g-评价的Jensen不等式4个等价条件.这两个结果包含和推广了一些已有结果.

非Lipschitz条件下基于g-期望的Jensen不等式

研究了一类具有非Lipschitz生成元的g-期望的Jensen不等式,利用g-期望的定义,严格单调性以及一个生成元表示定理,证明了一类非Lipschitz生成元的惟一性.对于线性凸函数φba(x)=ax+b,x∈R,定义了一个新的生成元gc(t,y,z)∶=g(t,y-c,z),利用生成元惟一性,BSDEs解的存在惟一性,证明了基于g-期望的Jensen不等式对单调增加的凸函数成立的充分必要条件是g不依赖于变量y并且g关于变量z是正齐次的.

无限时间终端g-期望的Jensen不等式

为研究g-期望的Jensen不等式在时间T为无穷时刻成立的充要条件,基于倒向随机微分方程中g-期望的概念,通过无限时间终端下生成元的表示定理,建设性地构造了一类新的生成元g珔(t,z)=ag(t,z/a)。证明了在无限时间终端,非Lipschitz条件下,g-期望关于线性凸函数的Jensen不等式成立,当且仅当g是关于(y,z)是超齐次的生成元且不依赖于y。

多体非k积态基于Quantum-Jensen-Shannon-Divergence的关联测度

在量子信息理论中,量子关联是一种极其重要的物理资源。本文利用了Quantum-Jensen-Shannon-Divergence(QJSD)的定义及其性质,获得了多体非k积态基于QJSD的关联测度,并证明了它满足关联测度的必要物理性质,包括非负性、局部酉操作下的不变性、凸性、以及在完全正的保迹线性映射下的压缩性和在局部非相干辅助子系统下的不变性。进一步引进了相对于k体分划的量子信道的概念,记为一致A^((k))信道,并讨论了所定义的关联测度在一致A^((k))信道演化下的影响。