This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector ident...This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.展开更多
As universities in Kazakhstan continue to address the challenges that come with developing English-medium instruction(EMI)programs,university Science,Technology,Engineering,and Mathematics(STEM)teachers need to develo...As universities in Kazakhstan continue to address the challenges that come with developing English-medium instruction(EMI)programs,university Science,Technology,Engineering,and Mathematics(STEM)teachers need to develop capacities to teach in English,while their English teacher counterparts need to develop content-specific pedagogical knowledge.Content and Language Integrated Learning(CLIL)pedagogies,defined as the integration of both language and content curricular goals,have emerged as a vehicle to facilitate this development for both types of teachers.However,what it means to be a CLIL teacher may vary considerably as teachers leverage their professional knowledge and personal experiences.We,therefore,explore teachers’conceptions of CLIL and how their disciplinary,linguistic,and pedagogical backgrounds enable or burden them to forge a“CLIL teacher”identity.This qualitative study illustrates the salient points of the journeys taken by two university teachers,one a specialist in oil and gas,the other an English teacher and teacher educator.Drawing on extended one-on-one interviews,we present two teachers’experiences through a series of CLIL-informed workshops.Using a multidisciplinary analytical framework,we map the ways in which the two teacher participants negotiate their identities in relation to CLIL.The findings highlight the importance of understanding teacher experiences,particularly their language learning backgrounds,attitudes toward supporting student learning,and relationships with their colleagues as they work to adapt to teaching English and STEM subjects in university EMI contexts.展开更多
In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subell...In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subelliptic equation on Heisenberg groupℍn by using the computer in[5].They wanted to know whether there is a theoretical framework that would predict the existence and the structure of such formulae.With the help of dimension conservation and invariant tensors,we can answer the above question.展开更多
The current study examined the roles of collective self-esteem and personal self-esteem in the relationship between national identity and subjective well-being.Participants were 583 Chinese college students(females=49...The current study examined the roles of collective self-esteem and personal self-esteem in the relationship between national identity and subjective well-being.Participants were 583 Chinese college students(females=49%;mean age=19.25±1.85 years).They completed measures of national identity,collective self-esteem,personal self-esteem,and subjective well-being.Path analysis findings result indicated national identity to influence the students’subjective wellbeing through three pathways:(1)national identity→collective self-esteem→subjective well-being,meaning higher subjective wellbeing with collective self-esteem.(2)national identity→personal self-esteem→subjective well-being,to suggest higher personal self-esteem was associated with subjective wellbeing;(3)national identity→collective selfesteem→personal self-esteem→subjective well-being.Compared to simple mediation models constructed with only personal self-esteem or collective self-esteem as a single mediating variable,the chain mediation model better explains the mediating mechanism of national identity on subjective well-being(the variance explained by the mediating variables increased by 65.38%and 59.26%,respectively).The collective self-esteem and personal self-esteem mediation is consistent with social identity theory,whereby national identity enhances collective self-evaluation,which in turn bolsters personal self-worth and subjective well-being.These findings of the current study offer new insights into how national identity affects subjective well-being in collectivistic culture.展开更多
Objectives:Psychological resilience is a critical resource for vocational high school students navigating social biases and fostering mental well-being.This six-month longitudinal study investigated the developmental ...Objectives:Psychological resilience is a critical resource for vocational high school students navigating social biases and fostering mental well-being.This six-month longitudinal study investigated the developmental trajectories of discrimination perception,vocational identity,and psychological resilience in this population.It further examined the longitudinal mediating role of vocational identity in the relationship between discrimination perception and psychological resilience.Methods:A total of 526 students from five vocational high schools in Guangdong,China,were assessed via convenience sampling at two time points:baseline(T1,September 2023)and six-month follow-up(T2,March 2024).Measures of discrimination perception,psychological resilience,and vocational identity were administered.Data were analyzed using a cross-lagged panel model to test for bidirectional relationships.Results:Over the six-month period,students showed significant decreases in discrimination perception and vocational identity,but a significant increase in psychological resilience.The cross-lagged model revealed significant bidirectional relationships:discrimination perception and psychological resilience negatively predicted each other over time(β=−0.124,p<0.01;β=−0.200,p<0.001),while psychological resilience and vocational identity positively predicted each other(β=0.084,p<0.05;β=0.076,p<0.05).The mediation analysis revealed a dual-pathway mechanism.T1 discrimination perception exerted both a significant direct negative effect on T2 psychological resilience(β=−0.332,p<0.001)and a significant indirect positive effect via T1 vocational identity(indirect effect=0.020,95%CI[0.001,0.046]).This confirms a partial mediating role,indicating that vocational identity functions as a compensatory mechanism,transforming the experience of discrimination perception into a potential source of psychological resilience.Conclusions:For vocational high school students,perception of discrimination directly undermines psychological resilience,but also indirectly fosters it through the positive development of vocational identity.These findings highlight vocational identity as a pivotal mechanism in the complex relationship between social adversity and mental resilience.展开更多
In non-independent and identically distributed(non-IID)data environments,model performance often degrades significantly.To address this issue,two improvement methods are proposed:FedReg and FedReg^(*).FedReg is a meth...In non-independent and identically distributed(non-IID)data environments,model performance often degrades significantly.To address this issue,two improvement methods are proposed:FedReg and FedReg^(*).FedReg is a method based on hybrid regularization aimed at enhancing federated learning in non-IID scenarios.It introduces hybrid regularization to replace traditional L2 regularization,combining the advantages of L1 and L2 regularization to enable feature selection while preventing overfitting.This method better adapts to the diverse data distributions of different clients,improving the overall model performance.FedReg^(*)combines hybrid regularization with weighted model aggregation.In addition to the benefits of hybrid regularization,FedReg^(*)applies a weighted averaging method in the model aggregation process,calculating weights based on the cosine similarity between each client gradient and the global gradient to more reasonably distribute client contributions.By considering variations in data quality and quantity among clients,FedReg^(*)highlights the importance of key clients and enhances the model’s generalization performance.These improvement methods enhance model accuracy and communication efficiency.展开更多
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,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.展开更多
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, OsMAD...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.展开更多
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.
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 Flor...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.展开更多
In this paper we give combinatorial proofs of two recurrence relations for the special class of objects known as inplace compositions. We also obtain new identities for the numbers of inplace 1-2 compositions and pali...In this paper we give combinatorial proofs of two recurrence relations for the special class of objects known as inplace compositions. We also obtain new identities for the numbers of inplace 1-2 compositions and palindromic compositions.展开更多
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.
In this paper, we first present several identities related to the inverse-conjugate compositions having parts of size ≤ 3, the compositions into parts equal to 1 or 2, the compositions into odd parts and the composit...In this paper, we first present several identities related to the inverse-conjugate compositions having parts of size ≤ 3, the compositions into parts equal to 1 or 2, the compositions into odd parts and the compositions into parts greater than 1. In addition, we provide a bijective proof of a relation for inverse-conjugate compositions having parts of size ≤ k.展开更多
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 loo...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.展开更多
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 focu...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.展开更多
For an integer p≥2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array.When p=2 one-pth Riordan arrays are reduced to well known half Riordan arrays.The generating functions of the A-sequ...For an integer p≥2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array.When p=2 one-pth Riordan arrays are reduced to well known half Riordan arrays.The generating functions of the A-sequences of vertical and horizontal one-pth Riordan arrays are found.The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities.They can also be used to verify some well known identities readily.展开更多
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 ...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.展开更多
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-Klei...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.展开更多
文摘This paper provides derivation of some basic identities for complex four-component vectors defined in a complex four-dimensional spacetime frame specified by an imaginary temporal axis. The resulting four-vector identities take exactly the same forms of the standard vector identities established in the familiar three-dimensional space, thereby confirming the consistency of the definition of the complex four-vectors and their mathematical operations in the general complex spacetime frame. Contravariant and covariant forms have been defined, providing appropriate definitions of complex tensors, which point to the possibility of reformulating differential geometry within a spacetime frame.
基金funding from the U.S.-Kazakhstan University Partnerships program funded by the U.S.Mission to Kazakhstan and administered by American Councils[Award number SKZ100-19-CA-0149].
文摘As universities in Kazakhstan continue to address the challenges that come with developing English-medium instruction(EMI)programs,university Science,Technology,Engineering,and Mathematics(STEM)teachers need to develop capacities to teach in English,while their English teacher counterparts need to develop content-specific pedagogical knowledge.Content and Language Integrated Learning(CLIL)pedagogies,defined as the integration of both language and content curricular goals,have emerged as a vehicle to facilitate this development for both types of teachers.However,what it means to be a CLIL teacher may vary considerably as teachers leverage their professional knowledge and personal experiences.We,therefore,explore teachers’conceptions of CLIL and how their disciplinary,linguistic,and pedagogical backgrounds enable or burden them to forge a“CLIL teacher”identity.This qualitative study illustrates the salient points of the journeys taken by two university teachers,one a specialist in oil and gas,the other an English teacher and teacher educator.Drawing on extended one-on-one interviews,we present two teachers’experiences through a series of CLIL-informed workshops.Using a multidisciplinary analytical framework,we map the ways in which the two teacher participants negotiate their identities in relation to CLIL.The findings highlight the importance of understanding teacher experiences,particularly their language learning backgrounds,attitudes toward supporting student learning,and relationships with their colleagues as they work to adapt to teaching English and STEM subjects in university EMI contexts.
基金supported by the National Natural Science Foundation of China(12141105,12471194)the first author’s research also was supported by the National Key Research and Development Project(SQ2020YFA070080).
文摘In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subelliptic equation on Heisenberg groupℍn by using the computer in[5].They wanted to know whether there is a theoretical framework that would predict the existence and the structure of such formulae.With the help of dimension conservation and invariant tensors,we can answer the above question.
文摘The current study examined the roles of collective self-esteem and personal self-esteem in the relationship between national identity and subjective well-being.Participants were 583 Chinese college students(females=49%;mean age=19.25±1.85 years).They completed measures of national identity,collective self-esteem,personal self-esteem,and subjective well-being.Path analysis findings result indicated national identity to influence the students’subjective wellbeing through three pathways:(1)national identity→collective self-esteem→subjective well-being,meaning higher subjective wellbeing with collective self-esteem.(2)national identity→personal self-esteem→subjective well-being,to suggest higher personal self-esteem was associated with subjective wellbeing;(3)national identity→collective selfesteem→personal self-esteem→subjective well-being.Compared to simple mediation models constructed with only personal self-esteem or collective self-esteem as a single mediating variable,the chain mediation model better explains the mediating mechanism of national identity on subjective well-being(the variance explained by the mediating variables increased by 65.38%and 59.26%,respectively).The collective self-esteem and personal self-esteem mediation is consistent with social identity theory,whereby national identity enhances collective self-evaluation,which in turn bolsters personal self-worth and subjective well-being.These findings of the current study offer new insights into how national identity affects subjective well-being in collectivistic culture.
基金supported by the Guangdong Provincial Philosophy and Social Science“14th Five-Year Plan”Discipline Co-Construction Project(Grant No.GD22XJY14)the 2022 Guangdong Provincial Higher Education Teaching Reform Project(Grant No.Yue Jiao Gao[2023]4)Guangdong Polytechnic Normal University’s Project for Enhancing the Research Capacity of Doctoral Application Institution(Grant No.22GPNUZDJS48).
文摘Objectives:Psychological resilience is a critical resource for vocational high school students navigating social biases and fostering mental well-being.This six-month longitudinal study investigated the developmental trajectories of discrimination perception,vocational identity,and psychological resilience in this population.It further examined the longitudinal mediating role of vocational identity in the relationship between discrimination perception and psychological resilience.Methods:A total of 526 students from five vocational high schools in Guangdong,China,were assessed via convenience sampling at two time points:baseline(T1,September 2023)and six-month follow-up(T2,March 2024).Measures of discrimination perception,psychological resilience,and vocational identity were administered.Data were analyzed using a cross-lagged panel model to test for bidirectional relationships.Results:Over the six-month period,students showed significant decreases in discrimination perception and vocational identity,but a significant increase in psychological resilience.The cross-lagged model revealed significant bidirectional relationships:discrimination perception and psychological resilience negatively predicted each other over time(β=−0.124,p<0.01;β=−0.200,p<0.001),while psychological resilience and vocational identity positively predicted each other(β=0.084,p<0.05;β=0.076,p<0.05).The mediation analysis revealed a dual-pathway mechanism.T1 discrimination perception exerted both a significant direct negative effect on T2 psychological resilience(β=−0.332,p<0.001)and a significant indirect positive effect via T1 vocational identity(indirect effect=0.020,95%CI[0.001,0.046]).This confirms a partial mediating role,indicating that vocational identity functions as a compensatory mechanism,transforming the experience of discrimination perception into a potential source of psychological resilience.Conclusions:For vocational high school students,perception of discrimination directly undermines psychological resilience,but also indirectly fosters it through the positive development of vocational identity.These findings highlight vocational identity as a pivotal mechanism in the complex relationship between social adversity and mental resilience.
文摘In non-independent and identically distributed(non-IID)data environments,model performance often degrades significantly.To address this issue,two improvement methods are proposed:FedReg and FedReg^(*).FedReg is a method based on hybrid regularization aimed at enhancing federated learning in non-IID scenarios.It introduces hybrid regularization to replace traditional L2 regularization,combining the advantages of L1 and L2 regularization to enable feature selection while preventing overfitting.This method better adapts to the diverse data distributions of different clients,improving the overall model performance.FedReg^(*)combines hybrid regularization with weighted model aggregation.In addition to the benefits of hybrid regularization,FedReg^(*)applies a weighted averaging method in the model aggregation process,calculating weights based on the cosine similarity between each client gradient and the global gradient to more reasonably distribute client contributions.By considering variations in data quality and quantity among clients,FedReg^(*)highlights the importance of key clients and enhances the model’s generalization performance.These improvement methods enhance model accuracy and communication efficiency.
文摘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.
基金We gratefully acknowledge B Han from National Center for Gene Research, Chinese Academy of Sciences (CAS) and Rice Genome Resource Center (RGRC) for providing BAC clone, cDNA clone and Tosl7 insertion line. We thank Z-J Luo and M-J Chen from Shanghai Jiao Tong University for mutant screening and generation of F2 populations, X-Y Gao from Institute of Plant Physiology and Ecology, SIBS, CAS, for SEM, H Yu from Nation- al University Of Singapore for critical reading of this manuscript and H Ma from Fudan University for helpful discussion. This work was supported by funds from the National Basic Research Program of China (2009CB941500, 2006CB 101700), the National Natural Science Foundation of China (30725022, 30830014 and 90717109) and the Shanghai Leading Academic Discipline Project (B205).
文摘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.
文摘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.
文摘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.
基金Supported by the National Natural Science Foundation of China(Grant No.11461020)
文摘In this paper we give combinatorial proofs of two recurrence relations for the special class of objects known as inplace compositions. We also obtain new identities for the numbers of inplace 1-2 compositions and palindromic compositions.
基金Supported by the Natural Science Foundation of Shaanxi Province(2002A11)Supported by the Shangluo Teacher's College Research Foundation(SKY2106)
文摘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.
基金Supported by the National Natural Science Foundation of China(Grant No.11461020)
文摘In this paper, we first present several identities related to the inverse-conjugate compositions having parts of size ≤ 3, the compositions into parts equal to 1 or 2, the compositions into odd parts and the compositions into parts greater than 1. In addition, we provide a bijective proof of a relation for inverse-conjugate compositions having parts of size ≤ k.
文摘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.
文摘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.
文摘For an integer p≥2 we construct vertical and horizontal one-pth Riordan arrays from a Riordan array.When p=2 one-pth Riordan arrays are reduced to well known half Riordan arrays.The generating functions of the A-sequences of vertical and horizontal one-pth Riordan arrays are found.The vertical and horizontal one-pth Riordan arrays provide an approach to construct many identities.They can also be used to verify some well known identities readily.
文摘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.
文摘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.
