SOME NEW IDENTITIES OF ROGERS-RAMANUJAN TYPE

In this paper,we establish two transformation formulas for nonterminating basic hypergeometric series by using Carlitz's inversions formulas and Jackson s transformation formula.In terms of application,by specializing certain parameters in the two transformations,four Rogers-Ramanujan type identities associated with moduli 20 are obtained.

Combinatorial Identities Concerning Harmonic Numbers

In this paper,we firstly establish a combinatorial identity with a free parameter x,and then by means of derivative operation,several summation formulae concerning classical and generalized harmonic numbers,as well as binomial coefficients are derived.

State,Communal,and Individual Identities in Iran

Cultural identity in Iran is comprised of four primary elements,each of which have proven to be highly resonant in the country political history.The vexing issue of modernity,and where individuals and collectivities are placed in relation to it,has been one of the most prominent of these elements of Iranian identity.A second constitutive factor has been the role of the state as a deliberate crafter of cultural,in turn directly influencing the salience,interpretation,extent,and direction of modernity,or its antithesis,in Iran.Equally defining has been the role and significance of religion,which has emerged as a marker of individual and collective,as well as political,identities.Nationalism,and its compelling impulse across Iranian society especially from the early 1900s and continuing until today,has also emerged as an integral and inseparable feature of Iranian identity.Together,these four elements―modernity,a culturally intrusive state,religion and religiosity,and nationalism―constitute fluid yet constant,sometimes complementary and sometimes competing,dimensions of Iranian identity.

Analysis on Bicultural Identities of Chinese Americans Based on Acculturation Theory

In the context of globalization,the communication between countries is gradually enhanced and the immigration is increasing.Chinese Americans,as a unique ethnic group,are easy to fall into the difficult problem of self-identity construction when facing the bicultural identity conflict between Chinese and American.This paper selects the film The Farewell created by a Chinese American director as the research object,analyzes the cultural identity crisis of Chinese Americans,introduces the cultural adaption strategy adopted by Chinese Americans from the perspective of Acculturation Theory,and provides reference for Chinese Americans about how to realize the bicultural identities in the cultural diaspora.

The Noether's Theory of Constrained Birkhoffian System

By using the synmeby and the qusi-symmetry of the infinitesimal transformation of the transformation group G1 and by imposing restrictions of constraints on the transformation, the Noether's theory of constrained Birkhoffian system has been established. The theory includes the generalized Noether's theorem obtaining the first integrals from the known symmetry and quasi-symmetry and its inverse obtaining the corresponding symmetry and quasi-symmetry from the known first integrals for the systerm.

Newton identities的初等证明及应用

Newton identities是一个在初等数学领域中非常重要的恒定式,灵活巧妙地应用Newton identities及推论,可以使一些较为困难的问题迎刃而解。该文在对Newton identities及推论进行初等证明的基础上,论述了它在高师院校数学学院专业课程初等数论、竞赛数学、初等代数研究选讲中的应用。

Female Identities in Translated Literature and the Development of Native Sense

In the formation of native sense,many factors play important roles,such as native culture,literature,and social circumstances and so on.This thesis focuses on the construction of female identities and their importance in the formation of native sense.Due to their different cultural backgrounds and cultural identities,the constructions of female identities in translated literature are different,which own unique features.

更好的治理能力会促进国家认同吗?——基于非洲十二国的实证研究

国家认同受到历史、政治、经济等多种因素的影响,国家治理能力可能也影响着国家认同。对于国家治理能否促进非洲的民族认同,已有的研究并没有给出明确的答案。首先从理论上探讨了国家认同提升的机制,通过运用有序逻辑回归模型实证方法对非洲晴雨表、世界银行和UNCTAD机构记录的国家认同和国家治理数据以及非洲国家的贸易开放程度进行了调查。研究发现,非洲国家的国家治理与人民的国家认同之间存在正相关关系。这一发现进一步扩展了对国家治理影响的理解,对加强非洲的国家认同以及非洲现代国家构建具有一定的启示。

The AGL6-like gene OsMADS6 regulates floral organ and meristem identities in rice

Although AGAMOUS-LIKE6 (AGL6) MADS-box genes are ancient with wide distributions in gymnosperms and angiosperms, their functions remain poorly understood. Here, we show the biological role of the AGL6-1ike gene, OsMADS6, in specifying floral organ and meristem identities in rice (Oryza sativa L.). OsMADS6 was strongly ex- pressed in the floral meristem at early stages. Subsequently, OsMADS6 transcripts were mainly detectable in paleas, lodicules, carpels and the integument of ovule, as well as in the receptacle. Compared to wild type plants, osmads6 mutants displayed altered palea identity, extra glume-like or mosaic organs, abnormal carpel development and loss of floral meristem determinacy. Strikingly, mutation of a SEPALLATA (SEP)-like gene, OsMADS1 (LHS1), enhanced the defect of osmads6 flowers, and no inner floral organs or glume-like structures were observed in whorls 2 and 3 of osmadsl-z osmads6-1 flowers. Furthermore, the osmadsl-z osmads6-1 double mutants developed severely indetermi- nate floral meristems. Our finding, therefore, suggests that the ancient OsMADS6 gene is able to specify "floral state" by determining floral organ and meristem identities in monocot crop rice together with OsMADS1.

An Analysis of the Multiple Identities of Beloved

Since the publication of Toni Morrison's Beloved,the identity of the character Beloved confuses a lot of readers and reviewers. This paper focuses on the analysis of the multiple identities of Beloved.

Databasing Molecular Identities of Sugarcane (Saccharum spp.) Clones Constructed with Microsatellite (SSR) DNA Markers

This paper reports the development of the first SSR marker-based sugarcane (Saccharum spp.) molecular identity database in the world. Since 2005, 1,025 sugarcane clones were genotyped, including 811 Louisiana, 45 Florida, 39 Texas, 130 foreign, and eight consultant/seed company clones. Genotyping was done on a fluorescence-capillary electrophoresis detection platform involving 21 highly polymorphic SSR markers that could potentially amplify 144 distinctive DNA fragments. Genotyping data were processed with the GeneMapper? software to reveal electrophoregrams that were manually checked against the 144 fragments. The presence (A) or absence (C) of these 144 fragments in any sugarcane clone was recorded in an affixed sequence order as a DNAMAN? file to represent its molecular identity being achieved into a local molecular identity database. The molecular identity database has been updated annually by continued genotyping of newly assigned sugarcane clones. The database provides molecular descriptions for new cultivar registration articles, enables sugarcane breeders to identify mis-labeled sugarcane clones in crossing programs and determine the paternity of cross progeny, and ensures the desired cultivars are grown in farmers’ fields.

Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers

By studying the properties of Chebyshev polynomials, some specific and mean-ingful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbersand Lucas numbers are obtained.

CALCULATION OF HAMILTONIAN CONSTRAINT AND MANDELSTAM IDENTITIES OVER EXTENDED KNOT FAMILIES {ψ_i}_2~2, {ψ_i}_4~3 and {ψ_i}_6~4

The actions of the Hamiltonian constraint onto the members of the extended knot families {φi}2^2, {φi}3^4 and {φi}4^6, and the check of their invariance under the Mandelstam identities are given in the extended loop representation of loop quantum gravity.

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (Ⅲ)—NOETHER'S THEOREM

The existing various couple stress theories have been carefully restudied.The purpose is to propose a coupled Noether's theorem and to reestablish rather complete conservation laws and balance equations for couple stress elastodynamics. The new concrete forms of various conservation laws of couple stress elasticity are derived. The precise nature of these conservation laws which result from the given invariance requirements are established. Various special cases are reduced and the results of micropolar continua may be naturally transited from the results presented in this paper.

NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE

To study the Noether's theorem of nonholonomic systems of non_Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert_Lagrange for the systems with unilateral constraints in event space is presented, secondly, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non_Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group, finally, an example is given to illustrate the application of the result.

A Question of Identities： Jewish Italian Immigrants in New York During and After War World II

There are many studies on Italian and Jewish immigration in the United States, mainly based on socio-demographic statistics, the theme of exile, Fascist anti-Semitism or ethnic conflicts. Many of these researches focus primarily on Jewish or Italians, but rarely address at Italian Jews as a whole, and, in their relation with Italian American and Jews. One of the reasons of this paucity of studies, might be the little number of Italian Jews who immigrated to the United States, especially in New York in the 1930s and 1940s, that drove several scholars not to pay really attention to this tiny group in ignoring their presence. Thus, this article aims to investigate through some memoirs, interviews and autobiographies the life of Italian Jews who were living in New York and the Metropolitan area during and after War World II, with particular emphasis to those who were born there in these years and their formation of an American identity. This essay will also clarify an Italian Jewish identity--which made Italian the role of memory and ＂nostalgia＂ in an Italian identity--above all Jews a unique group and a minority within a minority.

Attachment&Abandonment——The Analysis of Dual Identities in Sylvia Plath' s Daddy

The interpretation of Sylvia Plath' s representative work Daddy is always being controversial.The poem involves many social and historical issues and various images,among which the image " Daddy" is the key to the interpretation of the poem as well as the poet ess' feminist consciousness of anti-patriarchy.

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.

Exact identities for sessile drops

By direct integration of the are presented for the axisymmetric sessile geometrical parameters, including the apex Young-Laplace relation, a set of identities drops on fiat and curved substrates. The curvature, the apex height, and the contact radius, are related by the identities. The validity of the identities is checked by various numerical solutions for drops on flat and curved substrates.

SOME SPATIALLY INTEGRATED TIME-AVERAGED IDENTITIES FOR FLUIDS

This paper deals with the derivation of a series of seemingly simple but ignored relations, and presents several identities for fluids never obtained before (relations of integrals over different sets of independent variables and connected by an invertible mapping). These identities are based on mass conservation and a mathematical transform with no restriction on dynamics. They are, however, crucial to some fundamental concepts and the interpretation of results from dynamics. The identity for momentum is of most importance and, when averaged over time, yields a relationship between the spatially integrated and time averaged Lagrangian momentum and the spatially integrated and time averaged Eulerian momentum. For a constant density fluid, the averaged identity reduces to a relation between the integrated mean displacement of the particles and the integrated mean Eulerian velocity. For an exactly oscillatory flow in an Eulerian description this identity yields a zero integrated mean displacement of particles. In the case of a progressive surface gravity wave, which is periodic but not exactly oscillatory in an Eulerian description such that there are no particles above the trough during part of the period, the mean momentum identity ensures that the integrated mean Eulerian momentum is equal to the integrated mean momentum of the particles. Therefore, there is essentially no superiority as to which description gives a better estimate of the total momentum or total transport at the same order of approximation. The widely used relation, that the Lagrangian velocity equals the Eulerian velocity plus the Stokes velocity, is not based on a 1 to 1 invertible mapping and is therefore ambiguous. This relation is not valid where there is a discontinuity, particularly above the wave trough. It can therefore give an incorrect result on the Lagrangian velocity. The Generalized Lagrangian Mean (GLM) theory uses a mapping between the mean positions of particles and the particles themselves and apparently avoids the non invertibility. However, this mapping is actually not invertible in general because different particles may have the same mean position.