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
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
This work evaluates an architecture for decentralized authentication of Internet of Things(IoT)devices in Low Earth Orbit(LEO)satellite networks using IOTA Identity technology.To the best of our knowledge,it is the fi...This work evaluates an architecture for decentralized authentication of Internet of Things(IoT)devices in Low Earth Orbit(LEO)satellite networks using IOTA Identity technology.To the best of our knowledge,it is the first proposal to integrate IOTA’s Directed Acyclic Graph(DAG)-based identity framework into satellite IoT environments,enabling lightweight and distributed authentication under intermittent connectivity.The system leverages Decentralized Identifiers(DIDs)and Verifiable Credentials(VCs)over the Tangle,eliminating the need for mining and sequential blocks.An identity management workflow is implemented that supports the creation,validation,deactivation,and reactivation of IoT devices,and is experimentally validated on the Shimmer Testnet.Three metrics are defined and measured:resolution time,deactivation time,and reactivation time.To improve robustness,an algorithmic optimization is introduced that minimizes communication overhead and reduces latency during deactivation.The experimental results are compared with orbital simulations of satellite revisit times to assess operational feasibility.Unlike blockchain-based approaches,which typically suffer from high confirmation delays and scalability constraints,the proposed DAG architecture provides fast,cost-free operations suitable for resource-constrained IoT devices.The results show that authentication can be efficiently performed within satellite connectivity windows,positioning IOTA Identity as a viable solution for secure and scalable IoT authentication in LEO satellite networks.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
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
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 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
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.
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
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
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
Since the Reform and Opening-up in 1978, China has broadened and deepened its exchanges and relations with other countries. This has contributed to the increase in the migration of well-educated Chinese abroad and Uni...Since the Reform and Opening-up in 1978, China has broadened and deepened its exchanges and relations with other countries. This has contributed to the increase in the migration of well-educated Chinese abroad and United Kingdom （UK） has become a most desirable destination for the elite Chinese immigrants. The impact of the migration of well-educated Chinese deserves particular attention and study, especially the second generation＇s cultural identities--this under-researched topic is the focus of this study. The study investigates the cultural identity differences between Chinese born children （CBC） and British born children （BBC） of the Chinese intellectual families living in Britain. Results indicated that both CBC and BBC had high pride in Chinese and British culture No significant evidence for cultural identity crises was found. The children investigated considered themselves as bi-culturalism and were content with ＂dual identities,＂ with the CBC a bit more Chinese, while the BBC a bit more British. Much smaller differences in views of cultural identity were reported.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
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 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 v...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.展开更多
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.
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This work is part of the‘Intelligent and Cyber-Secure Platform for Adaptive Optimization in the Simultaneous Operation of Heterogeneous Autonomous Robots(PICRAH4.0)’with reference MIG-20232082,funded by MCIN/AEI/10.13039/501100011033supported by the Universidad Internacional de La Rioja(UNIR)through the Precompetitive Research Project entitled“Nuevos Horizontes en Internet de las Cosas y NewSpace(NEWIOT)”,reference PP-2024-13,funded under the 2024 Call for Research Projects.
文摘This work evaluates an architecture for decentralized authentication of Internet of Things(IoT)devices in Low Earth Orbit(LEO)satellite networks using IOTA Identity technology.To the best of our knowledge,it is the first proposal to integrate IOTA’s Directed Acyclic Graph(DAG)-based identity framework into satellite IoT environments,enabling lightweight and distributed authentication under intermittent connectivity.The system leverages Decentralized Identifiers(DIDs)and Verifiable Credentials(VCs)over the Tangle,eliminating the need for mining and sequential blocks.An identity management workflow is implemented that supports the creation,validation,deactivation,and reactivation of IoT devices,and is experimentally validated on the Shimmer Testnet.Three metrics are defined and measured:resolution time,deactivation time,and reactivation time.To improve robustness,an algorithmic optimization is introduced that minimizes communication overhead and reduces latency during deactivation.The experimental results are compared with orbital simulations of satellite revisit times to assess operational feasibility.Unlike blockchain-based approaches,which typically suffer from high confirmation delays and scalability constraints,the proposed DAG architecture provides fast,cost-free operations suitable for resource-constrained IoT devices.The results show that authentication can be efficiently performed within satellite connectivity windows,positioning IOTA Identity as a viable solution for secure and scalable IoT authentication in LEO satellite networks.
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 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 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.
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.
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Since the Reform and Opening-up in 1978, China has broadened and deepened its exchanges and relations with other countries. This has contributed to the increase in the migration of well-educated Chinese abroad and United Kingdom （UK） has become a most desirable destination for the elite Chinese immigrants. The impact of the migration of well-educated Chinese deserves particular attention and study, especially the second generation＇s cultural identities--this under-researched topic is the focus of this study. The study investigates the cultural identity differences between Chinese born children （CBC） and British born children （BBC） of the Chinese intellectual families living in Britain. Results indicated that both CBC and BBC had high pride in Chinese and British culture No significant evidence for cultural identity crises was found. The children investigated considered themselves as bi-culturalism and were content with ＂dual identities,＂ with the CBC a bit more Chinese, while the BBC a bit more British. Much smaller differences in views of cultural identity were reported.
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.
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 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.
