This paper proposes a novel method for solving the first-passage time probability problem of nonlinear stochastic dynamic systems.The safe domain boundary is exactly imposed into the radial basis function neural netwo...This paper proposes a novel method for solving the first-passage time probability problem of nonlinear stochastic dynamic systems.The safe domain boundary is exactly imposed into the radial basis function neural network(RBF-NN)architecture such that the solution is an admissible function of the boundary-value problem.In this way,the neural network solution can automatically satisfy the safe domain boundaries and no longer requires adding the corresponding loss terms,thus efficiently handling structure failure problems defined by various safe domain boundaries.The effectiveness of the proposed method is demonstrated through three nonlinear stochastic examples defined by different safe domains,and the results are validated against the extensive Monte Carlo simulations(MCSs).展开更多
In this paper, in Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In Section 2, we have described the possible mathematical applications, of Lebesgue...In this paper, in Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In Section 2, we have described the possible mathematical applications, of Lebesgue integration, in some equations concerning various sectors of Chern-Simons theory and Yang-Mills gauge theory, precisely the two dimensional quantum Yang-Mills theory. In conclusion, in Section 3, we have described also the possible mathematical connections with some sectors of String Theory and Number Theory, principally with some equations concerning the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings, some Ramanujan’s identities concerning π and the zeta strings.展开更多
The paper is devoted to the study of the gravitational collapse within the framework of the spherically symmetric problem in the Newton theory and general relativity on the basis of the pressure-free model of the cont...The paper is devoted to the study of the gravitational collapse within the framework of the spherically symmetric problem in the Newton theory and general relativity on the basis of the pressure-free model of the continuum. In application to the Newton gravitation theory, the analysis consists of three stages. First, we assume that the gravitational force is determined by the initial sphere radius and constant density and does not change in the process of the sphere collapse. The obtained analytical solution allows us to find the collapse time in the first approximation. Second, we construct the step-by-step process in which the gravitational force at a given time moment depends on the current sphere radius and density. The obtained numerical solution specifies the collapse time depending on the number of steps. Third, we find the exact value of the collapse time which is the limit of the step-by-step solutions and study the collapse and the expansion processes in the Newton theory. In application to general relativity, we use the space model corresponding to the special four-dimensional space which is Euclidean with respect to space coordinates and Riemannian with respect to the time coordinate only. The obtained solution specifies two possible scenarios. First, sphere contraction results in the infinitely high density with the finite collapse time, which does not coincide with the conventional result corresponding to the Schwarzschild geometry. Second, sphere expansion with the velocity which increases with a distance from the sphere center and decreases with time.展开更多
Based on the geometrically exact beam theory, the mathematical model of the tapered cantilever beam is built, and analysis of the structures under load is completed. With the stress-strain relationship of geometricall...Based on the geometrically exact beam theory, the mathematical model of the tapered cantilever beam is built, and analysis of the structures under load is completed. With the stress-strain relationship of geometrically exact beam theory, and the principle of virtual displacement and D’Alembert principle, the virtual work balance equation of the tapered cantilever beam element is derived. The internal force, external force, and inertial force virtual work of the beam element is discretized by weak form quadrature element method. The numerical results show the variation of the natural frequency of the beam with the taper when the tapered cantilever beam is not subjected to the load and the free end is subjected to the concentrated load and bending moment.展开更多
Objective: To explore the effect of Health Action Process Approach (HAPA) theory in patients with type D personality psoriasis. Methods: A total of 66 patients with type D personality psoriasis admitted to the dermato...Objective: To explore the effect of Health Action Process Approach (HAPA) theory in patients with type D personality psoriasis. Methods: A total of 66 patients with type D personality psoriasis admitted to the dermatology department of a top-three hospital in Jingzhou City from November 2022 to July 2023 were selected and divided into control group and test group with 33 cases in each group by random number table method. The control group received routine health education, and the experimental group received health education based on the HAPA theory. Chronic disease self-efficacy scale, hospital anxiety and depression scale and skin disease quality of life scale were used to evaluate the effect of intervention. Results: After 3 months of intervention, the scores of self-efficacy in experimental group were higher than those in control group (P P Conclusion: Health education based on the theory of HAPA can enhance the self-efficacy of patients with type D personality psoriasis, relieve negative emotions and improve their quality of life.展开更多
This article centers on The Call of the Wild,an English novel by American author Jack London,alongside two Chinese translations by Dajie Liu and Menglin Zhang,and Rongyue Liu.Seventy sentences containing motion events...This article centers on The Call of the Wild,an English novel by American author Jack London,alongside two Chinese translations by Dajie Liu and Menglin Zhang,and Rongyue Liu.Seventy sentences containing motion events and their corresponding translations were randomly selected for analysis.The study focuses on the primary elements of motion events-manner,path,and ground-and examines their Chinese translations through the lens of Skopos theory.Skopos theory emphasizes whether translators can adopt appropriate translation strategies according to various contextual factors during the translation process.Compared to verb-framed languages,satellite-framed languages possess a richer vocabulary for manner verbs,express more detailed manner information,use more satellite words to indicate paths,and incorporate more background information.Verb-framed languages,by contrast,typically express manner information only when necessary and tend to include less background information.The analysis reveals that both Chinese translations embody the core principle of Skopos theory:translation strategies are determined by their purpose.To fulfill the novel’s translation objectives,the translators adeptly adjust their strategies for motion event components based on different contextual needs.It is noted that the Chinese translations do not fully retain the characteristics of English as a typical satellite-framed language.This observation aligns with Skopos theory’s purpose-oriented approach,which prioritizes translation goals over strict adherence to source text characteristics.展开更多
In the wave of urbanization,waterfront landscape optimization is very important,but it is faced with ecological deterioration and other problems.By combing the relevant theories and practices at home and abroad and ma...In the wave of urbanization,waterfront landscape optimization is very important,but it is faced with ecological deterioration and other problems.By combing the relevant theories and practices at home and abroad and making a comparison and summary,the future direction of waterfront research was analyzed.In theory,foreign research has experienced multi-stage development,covering definition classification,design methods,etc.China started late,and is mainly in the exploration stage of learning from foreign experience and combining with local characteristics.The current research and practice have shortcomings such as ignoring users’needs and lacking quantitative evaluation.In the future,the construction of waterfront should focus on the needs of users,use scientific methods to build an evaluation system,integrate multi-disciplines,excavate regional culture,and establish a monitoring mechanism to achieve sustainable and coordinated development of the ecology,society and economy of waterfront.展开更多
BACKGROUND Extended care based on self-efficacy theory to elderly patients with intertrochanteric fractures will provide data reference to optimize the care plan of these patients,reduce patients’concurrent mental di...BACKGROUND Extended care based on self-efficacy theory to elderly patients with intertrochanteric fractures will provide data reference to optimize the care plan of these patients,reduce patients’concurrent mental diseases,and improve prognosis.AIM To analyze the value of extended nursing based on the self-efficacy theory in older patients with intertrochanteric fractures.METHODS Older patients with intertrochanteric fractures(n=88)admitted to our hospital between January 2021 and December 2024 were randomly divided into two groups-the control group(n=44,routine nursing)and the observation group(n=44,extended nursing)-via balloting and treated for 12 weeks.The mental state,pain severity,limb function,and self-nursing ability of all patients before and after nursing were analyzed.RESULTS After nursing,the Hamilton Anxiety Scale and General Self-Efficacy Scale scores of patients in the two groups improved.Notably,Hamilton Anxiety Scale and General Self-Efficacy Scale scores in the observation group were lower and higher,respectively,than those in the control group(P<0.05).The pain severity in the observation group(2.64±0.22)was lower than that in the control group(2.85±0.41)(P<0.05).The recovery rate of limb function was higher in the observation group than in the control group(P<0.05).In addition,the self-nursing ability scores of the patients in both groups increased,with a significantly higher score in the observation group(P<0.05).CONCLUSION Extended nursing based on the self-efficacy theory can significantly improve mental state,relieve pain,and promote the recovery of limb function and self-nursing ability in older patients with intertrochanteric fractures.展开更多
CO is highly toxic and seriously harmful to human health,so it is meaningful to control CO emissions,especially from industrial plants.Catalytic oxidation is regarded to be an effective method for CO removal,in which ...CO is highly toxic and seriously harmful to human health,so it is meaningful to control CO emissions,especially from industrial plants.Catalytic oxidation is regarded to be an effective method for CO removal,in which Pt-based catalysts show excellent performance.Studies of catalytic CO oxidation employing Pt-based catalysts often encounter challenges such as CO poisoning,challenges in activating O_(2),significant temperature sensitivity,and inadequate tolerance to water and sulfur species.These experimental hurdles have been corroborated by density functional theory(DFT)computations,which model adsorption,reaction pathways,and electronic structures at catalyst surfaces.DFT analysis has elucidated the underlying mechanisms behind these limitations,laying the foundation for enhancing the efficacy of Pt-based catalysts within the scope of academic discourse.DFT has been used intensively in recent years to study the reaction mechanism and functioning characteristics of Pt-based catalysts in CO oxidation.Consequently,advancements in research on DFT experiments on Pt-based catalysts are described.This review provides a comprehensive overview and insights into the mechanism of CO adsorption on the surface of single-atom and multi-atom Pt-based catalysts,its effect on CO oxidation performance,and reaction pathways of CO oxidation in the hope of providing theoretical guidance for the structural design of most effective catalysts.展开更多
Objective: To explore the application effect of self-management based on Snyder’s hope theory in diabetic patients. Methods: A total of 260 patients with diabetes from a community were selected through convenient sam...Objective: To explore the application effect of self-management based on Snyder’s hope theory in diabetic patients. Methods: A total of 260 patients with diabetes from a community were selected through convenient sampling and randomly divided into an experimental group and a control group using the random number table method, with 130 cases in each group. Five cases were lost in the experimental group, resulting in 125 effective cases, while all 130 cases in the control group were effective. The control group received standard lectures on diabetes self-management behavior and traditional approaches, such as the distribution of educational manuals. The experimental group underwent a self-management behavior intervention program for diabetic patients based on Snyder’s hope theory model, encompassing three components: goals, pathways, and motivational thinking. The levels of hope and self-management behavior were compared between the two groups. Results: After the intervention, the scores for hope levels and self-management behaviors in both groups were significantly higher than those recorded before the intervention (P < 0.05). Furthermore, the hope level and self-management behavior scores of the experimental group were significantly higher than those of the control group (P < 0.05). Conclusion: The application of Snyder’s hope theory model in diabetic patients demonstrates significant benefits, improving patients’ hope levels and, consequently, enhancing their self-management behaviors.展开更多
The isospin splitting of the Dirac mass obtained using the relativistic Brueckner-Hartree-Fock(RBHF)theory was thor-oughly investigated.From the perspective in the full Dirac space,the long-standing controversy betwee...The isospin splitting of the Dirac mass obtained using the relativistic Brueckner-Hartree-Fock(RBHF)theory was thor-oughly investigated.From the perspective in the full Dirac space,the long-standing controversy between the momentum-independent approximation(MIA)method and the projection method on the isospin splitting of the Dirac mass in asymmetric nuclear matter was analyzed in detail.We found that the assumption procedure of the MIA method,which assumes that single-particle potentials are momentum independent,is not a sufficient condition that directly leads to the opposite sign of the isospin splitting of the Dirac mass,whereas the extraction procedure of the MIA method,which extracts single-particle potentials from single-particle potential energy,changes the sign.A formal expression of the Dirac mass was obtained by approximately solving a set of equations involved in the extraction procedure.The opposite isospin splitting of the Dirac mass was mainly caused by the extraction procedure,which forcibly assumed that the momentum dependence of the single-particle potential energy was in a quadratic form,in which the strength was solely determined by a constant scalar potential.Improved understanding of the isospin splitting of the Dirac mass from ab initio calculations could enhance our knowledge of neutron-rich systems,such as exotic nuclei and neutron stars.展开更多
With the rapid development of Teaching Chinese as a Foreign Language(TCFL),improving teaching quality requires integrating advanced pedagogical concepts.Multimodal teaching,which employs various symbolic modes to enga...With the rapid development of Teaching Chinese as a Foreign Language(TCFL),improving teaching quality requires integrating advanced pedagogical concepts.Multimodal teaching,which employs various symbolic modes to engage students’multiple senses,is a highly effective approach.Introducing multimodal theory into TCFL education can enhance teaching efficiency and improve students’communication skills.This paper applies multimodal theory to TCFL,using the elementary Chinese comprehensive course“My Family”as a case study to propose a detailed teaching design,followed by evaluation and reflection.The aim of this teaching design is to deepen the understanding of multimodal theory and provide additional reference for the TCFL.展开更多
Multinational corporations(MNCs)play a pivotal role in driving sustainable development by effectively implementing Environmental,Social,and Governance(ESG)strategies.This study adopts the lens of Social Cognitive Theo...Multinational corporations(MNCs)play a pivotal role in driving sustainable development by effectively implementing Environmental,Social,and Governance(ESG)strategies.This study adopts the lens of Social Cognitive Theory to analyze how MNCs operating in China can optimize human capital to enhance ESG outcomes.By exploring the interplay between individual cognition,organizational culture,and incentive mechanisms,the research establishes a human capital-driven framework for ESG implementation.Key findings emphasize the importance of cultivating ESG awareness among employees,fostering an ESG-centric organizational culture,and designing robust incentive structures to align individual behaviors with corporate sustainability goals.This comprehensive approach offers practical insights for MNCs striving to balance profitability with social responsibility and environmental stewardship in a rapidly evolving global landscape.展开更多
College English teaching is a crucial component of higher education.Enhancing college students’English learning outcomes has long been a primary focus for educators.With the continuous evolution of educational philos...College English teaching is a crucial component of higher education.Enhancing college students’English learning outcomes has long been a primary focus for educators.With the continuous evolution of educational philosophies,traditional college English teaching methods no longer meet the learning needs of contemporary students.Situational cognitive learning theory emphasizes learner-centered approaches and highlights the contextual and practical application of knowledge,offering innovative perspectives for reforming college English teaching.When applied effectively,situational cognitive learning theory can optimize teaching methods and significantly improve learning outcomes.This paper explores the connotation and characteristics of situational cognitive learning theory,evaluates its applicability in college English teaching,and discusses its practical implementation in this context.The aim is to provide theoretical and practical references for improving the quality of college English education.展开更多
Localized rock failures,like cracks or shear bands,demand specific attention in modeling for solids and structures.This is due to the uncertainty of conventional continuum-based mechanical models when localized inelas...Localized rock failures,like cracks or shear bands,demand specific attention in modeling for solids and structures.This is due to the uncertainty of conventional continuum-based mechanical models when localized inelastic deformation has emerged.In such scenarios,as macroscopic inelastic reactions are primarily influenced by deformation and microstructural alterations within the localized area,internal variables that signify these microstructural changes should be established within this zone.Thus,localized deformation characteristics of rocks are studied here by the preset angle shear experiment.A method based on shear displacement and shear stress differences is proposed to identify the compaction,yielding,and residual points for enhancing the model's effectiveness and minimizing subjective influences.Next,a mechanical model for the localized shear band is depicted as an elasto-plastic model outlining the stress-displacement relation across both sides of the shear band.Incorporating damage theory and an elasto-plastic model,a proposed damage model is introduced to replicate shear stressdisplacement responses and localized damage evolution in intact rocks experiencing shear failure.Subsequently,a novel nonlinear mathematical model based on modified logistic growth theory is proposed for depicting the shear band's damage evolution pattern.Thereafter,an innovative damage model is proposed to effectively encompass diverse rock material behaviors,including elasticity,plasticity,and softening behaviors.Ultimately,the effects of the preset angles,temperature,normal stresses and the residual shear strength are carefully discussed.This discovery enhances rock research in the proposed damage model,particularly regarding shear failure mode.展开更多
The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer fro...The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer from numerical overflow or underflow when the Bessel function’s order is large,the argument is small or the argument has a large imaginary part.The first two issues have been solved recently by employing small-argument asymptotic formulas of Bessel functions,while the third issue remains unsolved.In this paper,the Bessel functions in the conventional formulation of the theory are replaced by scaled Bessel functions which have good numerical properties for high loss media,and stable formulas are derived.Numerical tests show that this approach can work properly with very high lossy media.Also,this approach can be seamlessly combined with the stable computation method for cases of small argument and large order of Bessel functions.展开更多
Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that e...Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that each material object, including living creatures, is concomitant with a fraction of the charged complex masses of DM and DE in proportion to its mass. This perception provides new insights into the physics of nature and its constituents from subatomic to cosmic scales. This complex nature of DM and DE explains our inability to see DM or harvest DE for the last several decades. The positive complex DM is responsible for preserving the integrity of galaxies and all material systems. The negative complex charged DE induces a positive repelling force with the positively charged DM and contributes to the universe’s expansion. Both fields are Lorentz invariants in all directions and entangle the whole universe. The paper uses CFT to investigate zero-point energy, particle-wave duality, relativistic mass increase, and entanglement phenomenon and unifies Coulomb’s and Newton’s laws. The paper also verifies the existence of tachyons and explains the spooky action of quantum mechanics at a distance. The paper encourages further research into how CFT might resolve several physical mysteries in physics.展开更多
BACKGROUND Patients with depression following coronary heart disease often exhibit insufficient psychological resilience and self-care abilities;therefore,emphasis must be placed on nursing interventions.AIM To analyz...BACKGROUND Patients with depression following coronary heart disease often exhibit insufficient psychological resilience and self-care abilities;therefore,emphasis must be placed on nursing interventions.AIM To analyze the application value of problem-oriented education combined with nursing interventions based on the Snyder hope theory model in depressed patients after percutaneous coronary intervention(PCI).METHODS This study included 150 patients diagnosed with PCI postoperative depression because of coronary heart disease between February 2022 and February 2024.Participants were divided into two groups:A control group(n=75)receiving problem-oriented education and an observation group(n=75)receiving combined nursing interventions based on the Snyder hope theory model.Depression status,psychological resilience,self-care ability,and quality of life were compared between the two groups.RESULTS Before nursing interventions,there were no significant differences between the two groups(P>0.05).After the interventions,depression scores decreased while psychological resilience,self-care ability,and quality of life scores increased significantly in the observation group compared to that in the control group,with statistically significant differences noted(P<0.05).This combined approach can enhance psychological resilience,improve self-care abilities,and elevate the overall quality of life,warranting further promotion in clinical practice.CONCLUSION Combination of problem-oriented education and nursing interventions based on the Snyder hope theory model effectively alleviates depression in patients following PCI for coronary heart disease.展开更多
The 110-mining method,a rising and revolutionary non-pillar longwall mining method,can obviously expand coal extraction ratio and minimize roadway incidents.However,in case of composite hard roof,problems such as diff...The 110-mining method,a rising and revolutionary non-pillar longwall mining method,can obviously expand coal extraction ratio and minimize roadway incidents.However,in case of composite hard roof,problems such as difficulty in commanding the entry steadiness and insufficient fragmentation and bulking of the goaf gangue are prevalent.In this study,a 110-mining method for roadway surrounding rock stability control technology based on a compensation mechanism was proposed.First,the composite hard roof cutting short cantilever beam(SCB)model was built and the compensation mechanism including stress and space dual compensation was studied.Subsequently,the controllable elements influencing the roadway steadiness were confirmed to consequently put forward a control technology based on stress compensation for entry support and space compensation for the fragmentation and bulking of goaf gangue.The control technology was finally verified through onsite engineering experiments in terms of composite hard roof.The adoption of the 110-mining method with compensation control technology indicated good support effect on the roadway.The initial and residual expansion coefficients of the goaf gangue increased by 0.6 and 0.6,respectively,and the maximum and average working resistances of the working face support decreased by 10.9%and 13.8%,respectively.Consequently,the deformations of reserved entry decreased,and entry steadiness was enhanced.The presented technique and effects got probably have practical values for non-pillar mining functions in comparable field.展开更多
In 2004 and 2014,two monographs on hypobaric storage(LP)were published by Stanley P.Burg.Based on his theoretical framework and technological advancements,as well as the research and development of equipment conducted...In 2004 and 2014,two monographs on hypobaric storage(LP)were published by Stanley P.Burg.Based on his theoretical framework and technological advancements,as well as the research and development of equipment conducted under his guidance,alongside customer practices and reflections on various scientific literature both domestically and internationally,it is posited that,as articulated in the monograph,misconceptions regarding his theory and technology in Western scientific literature prior to 1985 continue to persist.This ongoing dissemination of misunderstandings has resulted in a near stagnation of research and has adversely impacted the Chinese academic community as well.Consequently,it is essential to delineate the characteristics and main points of its theory and technology,with the aim of offering guidance to individuals seeking to comprehend its foundational purpose.LP technology is a dynamic physical technology that continuously and uninterruptedly extracts air from a closed container and simultaneously introduces fresh,low-pressure moist air from the external environment,while maintaining specific levels of humidity and/or temperature within the container and upholding a predetermined pressure value.Preservation technology is the collective term for the set of various technical parameters associated with preservation,including pressure,relative humidity,and other relevant factors,to which LP equipment is specifically designed.The theory of LP is characterized by the enhanced diffusion of gases and vapors that enter and exit the commodity in a dynamic manner under low pressure conditions.The theoretical points involve equipment performance,low pressure,the impact of trace concentrations of gases such as O_(2),CO_(2) and C_(2)H_(4) that naturally occur at low pressure,diffusive mass transfer,heat transfer,and impacts on the activity of enzymes associated with maturation and senescence.The technology is characterized by dynamic low pressure,and the range of commodities preserved is comparable to that of refrigeration.However,certain commodities exiting the hypobaric environment possess subsequent preservation advantages that are not available through refrigeration.The main points of the technology encompass an extended sotrage life,a postponement of quality degradation,minimized water loss,the suppression of pathogen growth,and the killing of both internal and external insects of the commodity under dynamic low pressure conditions.The core advantage of LP technology lies in its ability to significantly reduce water loss,inhibit respiration and C_(2)H_(4) action,and pathogen growth,killing insects and modulate the activity of enzymes associated with maturation and senescence in post-harvest fresh horticultural products.Consequently,this technology plays a crucial role in prolonging the post-harvest lifespan of these commodities and mitigating quality degradation.Over the past decade,researchers in China have developed a hypobaric short period treatment technology,grounded in LP theory and technical practice,which is commonly referred to as hypobaric treatment.This method has garnered significant attention,leading to an increase in both domestic and international research.A growing body of literature categorizes LP as hypobaric treatment,while some studies also consider vacuum packaging and modified atmosphere packaging(MAP)as LP or hypobaric treatment.Misunderstandings are exacerbated by confusion surrounding nomenclature,which,in conjunction with pre-existing misconceptions,represents a significant barrier to both the research and practical application of the technology.The successful commercial implementation of a vacuum cold fresh chain,centered on LP or hypobaric treatment technology,may be the sole solution to the prevailing misunderstandings associated with LP.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.11972070,12072118,and 12372029)the Natural Science Funds for Distinguished Young Scholars of the Fujian Province of China(No.2021J06024)。
文摘This paper proposes a novel method for solving the first-passage time probability problem of nonlinear stochastic dynamic systems.The safe domain boundary is exactly imposed into the radial basis function neural network(RBF-NN)architecture such that the solution is an admissible function of the boundary-value problem.In this way,the neural network solution can automatically satisfy the safe domain boundaries and no longer requires adding the corresponding loss terms,thus efficiently handling structure failure problems defined by various safe domain boundaries.The effectiveness of the proposed method is demonstrated through three nonlinear stochastic examples defined by different safe domains,and the results are validated against the extensive Monte Carlo simulations(MCSs).
文摘In this paper, in Section 1, we have described some equations and theorems concerning the Lebesgue integral and the Lebesgue measure. In Section 2, we have described the possible mathematical applications, of Lebesgue integration, in some equations concerning various sectors of Chern-Simons theory and Yang-Mills gauge theory, precisely the two dimensional quantum Yang-Mills theory. In conclusion, in Section 3, we have described also the possible mathematical connections with some sectors of String Theory and Number Theory, principally with some equations concerning the Ramanujan’s modular equations that are related to the physical vibrations of the bosonic strings and of the superstrings, some Ramanujan’s identities concerning π and the zeta strings.
文摘The paper is devoted to the study of the gravitational collapse within the framework of the spherically symmetric problem in the Newton theory and general relativity on the basis of the pressure-free model of the continuum. In application to the Newton gravitation theory, the analysis consists of three stages. First, we assume that the gravitational force is determined by the initial sphere radius and constant density and does not change in the process of the sphere collapse. The obtained analytical solution allows us to find the collapse time in the first approximation. Second, we construct the step-by-step process in which the gravitational force at a given time moment depends on the current sphere radius and density. The obtained numerical solution specifies the collapse time depending on the number of steps. Third, we find the exact value of the collapse time which is the limit of the step-by-step solutions and study the collapse and the expansion processes in the Newton theory. In application to general relativity, we use the space model corresponding to the special four-dimensional space which is Euclidean with respect to space coordinates and Riemannian with respect to the time coordinate only. The obtained solution specifies two possible scenarios. First, sphere contraction results in the infinitely high density with the finite collapse time, which does not coincide with the conventional result corresponding to the Schwarzschild geometry. Second, sphere expansion with the velocity which increases with a distance from the sphere center and decreases with time.
文摘Based on the geometrically exact beam theory, the mathematical model of the tapered cantilever beam is built, and analysis of the structures under load is completed. With the stress-strain relationship of geometrically exact beam theory, and the principle of virtual displacement and D’Alembert principle, the virtual work balance equation of the tapered cantilever beam element is derived. The internal force, external force, and inertial force virtual work of the beam element is discretized by weak form quadrature element method. The numerical results show the variation of the natural frequency of the beam with the taper when the tapered cantilever beam is not subjected to the load and the free end is subjected to the concentrated load and bending moment.
文摘Objective: To explore the effect of Health Action Process Approach (HAPA) theory in patients with type D personality psoriasis. Methods: A total of 66 patients with type D personality psoriasis admitted to the dermatology department of a top-three hospital in Jingzhou City from November 2022 to July 2023 were selected and divided into control group and test group with 33 cases in each group by random number table method. The control group received routine health education, and the experimental group received health education based on the HAPA theory. Chronic disease self-efficacy scale, hospital anxiety and depression scale and skin disease quality of life scale were used to evaluate the effect of intervention. Results: After 3 months of intervention, the scores of self-efficacy in experimental group were higher than those in control group (P P Conclusion: Health education based on the theory of HAPA can enhance the self-efficacy of patients with type D personality psoriasis, relieve negative emotions and improve their quality of life.
基金Humanities and Social Sciences Research Project of China’s Ministry of Education(23YJCZH242)Major Humanities and Social Sciences Research Projects in Zhejiang Higher Education Institutions(2024QN069)Hangzhou Collaborative Innovation Institute of Language Services,Hangzhou City University,China。
文摘This article centers on The Call of the Wild,an English novel by American author Jack London,alongside two Chinese translations by Dajie Liu and Menglin Zhang,and Rongyue Liu.Seventy sentences containing motion events and their corresponding translations were randomly selected for analysis.The study focuses on the primary elements of motion events-manner,path,and ground-and examines their Chinese translations through the lens of Skopos theory.Skopos theory emphasizes whether translators can adopt appropriate translation strategies according to various contextual factors during the translation process.Compared to verb-framed languages,satellite-framed languages possess a richer vocabulary for manner verbs,express more detailed manner information,use more satellite words to indicate paths,and incorporate more background information.Verb-framed languages,by contrast,typically express manner information only when necessary and tend to include less background information.The analysis reveals that both Chinese translations embody the core principle of Skopos theory:translation strategies are determined by their purpose.To fulfill the novel’s translation objectives,the translators adeptly adjust their strategies for motion event components based on different contextual needs.It is noted that the Chinese translations do not fully retain the characteristics of English as a typical satellite-framed language.This observation aligns with Skopos theory’s purpose-oriented approach,which prioritizes translation goals over strict adherence to source text characteristics.
文摘In the wave of urbanization,waterfront landscape optimization is very important,but it is faced with ecological deterioration and other problems.By combing the relevant theories and practices at home and abroad and making a comparison and summary,the future direction of waterfront research was analyzed.In theory,foreign research has experienced multi-stage development,covering definition classification,design methods,etc.China started late,and is mainly in the exploration stage of learning from foreign experience and combining with local characteristics.The current research and practice have shortcomings such as ignoring users’needs and lacking quantitative evaluation.In the future,the construction of waterfront should focus on the needs of users,use scientific methods to build an evaluation system,integrate multi-disciplines,excavate regional culture,and establish a monitoring mechanism to achieve sustainable and coordinated development of the ecology,society and economy of waterfront.
文摘BACKGROUND Extended care based on self-efficacy theory to elderly patients with intertrochanteric fractures will provide data reference to optimize the care plan of these patients,reduce patients’concurrent mental diseases,and improve prognosis.AIM To analyze the value of extended nursing based on the self-efficacy theory in older patients with intertrochanteric fractures.METHODS Older patients with intertrochanteric fractures(n=88)admitted to our hospital between January 2021 and December 2024 were randomly divided into two groups-the control group(n=44,routine nursing)and the observation group(n=44,extended nursing)-via balloting and treated for 12 weeks.The mental state,pain severity,limb function,and self-nursing ability of all patients before and after nursing were analyzed.RESULTS After nursing,the Hamilton Anxiety Scale and General Self-Efficacy Scale scores of patients in the two groups improved.Notably,Hamilton Anxiety Scale and General Self-Efficacy Scale scores in the observation group were lower and higher,respectively,than those in the control group(P<0.05).The pain severity in the observation group(2.64±0.22)was lower than that in the control group(2.85±0.41)(P<0.05).The recovery rate of limb function was higher in the observation group than in the control group(P<0.05).In addition,the self-nursing ability scores of the patients in both groups increased,with a significantly higher score in the observation group(P<0.05).CONCLUSION Extended nursing based on the self-efficacy theory can significantly improve mental state,relieve pain,and promote the recovery of limb function and self-nursing ability in older patients with intertrochanteric fractures.
基金supported by the National Natural Science Foundation of China(Grant Nos.52322004,52170118)the China Postdoctoral Science Foundation(Grant No.2024M763296)。
文摘CO is highly toxic and seriously harmful to human health,so it is meaningful to control CO emissions,especially from industrial plants.Catalytic oxidation is regarded to be an effective method for CO removal,in which Pt-based catalysts show excellent performance.Studies of catalytic CO oxidation employing Pt-based catalysts often encounter challenges such as CO poisoning,challenges in activating O_(2),significant temperature sensitivity,and inadequate tolerance to water and sulfur species.These experimental hurdles have been corroborated by density functional theory(DFT)computations,which model adsorption,reaction pathways,and electronic structures at catalyst surfaces.DFT analysis has elucidated the underlying mechanisms behind these limitations,laying the foundation for enhancing the efficacy of Pt-based catalysts within the scope of academic discourse.DFT has been used intensively in recent years to study the reaction mechanism and functioning characteristics of Pt-based catalysts in CO oxidation.Consequently,advancements in research on DFT experiments on Pt-based catalysts are described.This review provides a comprehensive overview and insights into the mechanism of CO adsorption on the surface of single-atom and multi-atom Pt-based catalysts,its effect on CO oxidation performance,and reaction pathways of CO oxidation in the hope of providing theoretical guidance for the structural design of most effective catalysts.
文摘Objective: To explore the application effect of self-management based on Snyder’s hope theory in diabetic patients. Methods: A total of 260 patients with diabetes from a community were selected through convenient sampling and randomly divided into an experimental group and a control group using the random number table method, with 130 cases in each group. Five cases were lost in the experimental group, resulting in 125 effective cases, while all 130 cases in the control group were effective. The control group received standard lectures on diabetes self-management behavior and traditional approaches, such as the distribution of educational manuals. The experimental group underwent a self-management behavior intervention program for diabetic patients based on Snyder’s hope theory model, encompassing three components: goals, pathways, and motivational thinking. The levels of hope and self-management behavior were compared between the two groups. Results: After the intervention, the scores for hope levels and self-management behaviors in both groups were significantly higher than those recorded before the intervention (P < 0.05). Furthermore, the hope level and self-management behavior scores of the experimental group were significantly higher than those of the control group (P < 0.05). Conclusion: The application of Snyder’s hope theory model in diabetic patients demonstrates significant benefits, improving patients’ hope levels and, consequently, enhancing their self-management behaviors.
基金supported in part by the China Postdoctoral Science Foundation under grant No.2021M700610the National Natural Science Foundation of China(NSFC)(No.12205030)+1 种基金the Fundamental Research Funds for the Central Universities(No.2024CDJXY022)the Institute for Basic Science(No.IBS-R031-D1).
文摘The isospin splitting of the Dirac mass obtained using the relativistic Brueckner-Hartree-Fock(RBHF)theory was thor-oughly investigated.From the perspective in the full Dirac space,the long-standing controversy between the momentum-independent approximation(MIA)method and the projection method on the isospin splitting of the Dirac mass in asymmetric nuclear matter was analyzed in detail.We found that the assumption procedure of the MIA method,which assumes that single-particle potentials are momentum independent,is not a sufficient condition that directly leads to the opposite sign of the isospin splitting of the Dirac mass,whereas the extraction procedure of the MIA method,which extracts single-particle potentials from single-particle potential energy,changes the sign.A formal expression of the Dirac mass was obtained by approximately solving a set of equations involved in the extraction procedure.The opposite isospin splitting of the Dirac mass was mainly caused by the extraction procedure,which forcibly assumed that the momentum dependence of the single-particle potential energy was in a quadratic form,in which the strength was solely determined by a constant scalar potential.Improved understanding of the isospin splitting of the Dirac mass from ab initio calculations could enhance our knowledge of neutron-rich systems,such as exotic nuclei and neutron stars.
文摘With the rapid development of Teaching Chinese as a Foreign Language(TCFL),improving teaching quality requires integrating advanced pedagogical concepts.Multimodal teaching,which employs various symbolic modes to engage students’multiple senses,is a highly effective approach.Introducing multimodal theory into TCFL education can enhance teaching efficiency and improve students’communication skills.This paper applies multimodal theory to TCFL,using the elementary Chinese comprehensive course“My Family”as a case study to propose a detailed teaching design,followed by evaluation and reflection.The aim of this teaching design is to deepen the understanding of multimodal theory and provide additional reference for the TCFL.
文摘Multinational corporations(MNCs)play a pivotal role in driving sustainable development by effectively implementing Environmental,Social,and Governance(ESG)strategies.This study adopts the lens of Social Cognitive Theory to analyze how MNCs operating in China can optimize human capital to enhance ESG outcomes.By exploring the interplay between individual cognition,organizational culture,and incentive mechanisms,the research establishes a human capital-driven framework for ESG implementation.Key findings emphasize the importance of cultivating ESG awareness among employees,fostering an ESG-centric organizational culture,and designing robust incentive structures to align individual behaviors with corporate sustainability goals.This comprehensive approach offers practical insights for MNCs striving to balance profitability with social responsibility and environmental stewardship in a rapidly evolving global landscape.
文摘College English teaching is a crucial component of higher education.Enhancing college students’English learning outcomes has long been a primary focus for educators.With the continuous evolution of educational philosophies,traditional college English teaching methods no longer meet the learning needs of contemporary students.Situational cognitive learning theory emphasizes learner-centered approaches and highlights the contextual and practical application of knowledge,offering innovative perspectives for reforming college English teaching.When applied effectively,situational cognitive learning theory can optimize teaching methods and significantly improve learning outcomes.This paper explores the connotation and characteristics of situational cognitive learning theory,evaluates its applicability in college English teaching,and discusses its practical implementation in this context.The aim is to provide theoretical and practical references for improving the quality of college English education.
基金supported by the China Scholarship Council Program(Grant No.202008320274)it is also supported by Technical University of Munich.
文摘Localized rock failures,like cracks or shear bands,demand specific attention in modeling for solids and structures.This is due to the uncertainty of conventional continuum-based mechanical models when localized inelastic deformation has emerged.In such scenarios,as macroscopic inelastic reactions are primarily influenced by deformation and microstructural alterations within the localized area,internal variables that signify these microstructural changes should be established within this zone.Thus,localized deformation characteristics of rocks are studied here by the preset angle shear experiment.A method based on shear displacement and shear stress differences is proposed to identify the compaction,yielding,and residual points for enhancing the model's effectiveness and minimizing subjective influences.Next,a mechanical model for the localized shear band is depicted as an elasto-plastic model outlining the stress-displacement relation across both sides of the shear band.Incorporating damage theory and an elasto-plastic model,a proposed damage model is introduced to replicate shear stressdisplacement responses and localized damage evolution in intact rocks experiencing shear failure.Subsequently,a novel nonlinear mathematical model based on modified logistic growth theory is proposed for depicting the shear band's damage evolution pattern.Thereafter,an innovative damage model is proposed to effectively encompass diverse rock material behaviors,including elasticity,plasticity,and softening behaviors.Ultimately,the effects of the preset angles,temperature,normal stresses and the residual shear strength are carefully discussed.This discovery enhances rock research in the proposed damage model,particularly regarding shear failure mode.
文摘The spherically layered media theory has wide applications for electromagnetic wave scattering analysis.Due to the involved Bessel functions,the conventional formulations of spherically layered media theory suffer from numerical overflow or underflow when the Bessel function’s order is large,the argument is small or the argument has a large imaginary part.The first two issues have been solved recently by employing small-argument asymptotic formulas of Bessel functions,while the third issue remains unsolved.In this paper,the Bessel functions in the conventional formulation of the theory are replaced by scaled Bessel functions which have good numerical properties for high loss media,and stable formulas are derived.Numerical tests show that this approach can work properly with very high lossy media.Also,this approach can be seamlessly combined with the stable computation method for cases of small argument and large order of Bessel functions.
文摘Complex Field Theory (CFT) proposes that dark matter (DM) and dark energy (DE) are pervasive, complex fields of charged complex masses of equally positive and negative complex charges, respectively. It proposes that each material object, including living creatures, is concomitant with a fraction of the charged complex masses of DM and DE in proportion to its mass. This perception provides new insights into the physics of nature and its constituents from subatomic to cosmic scales. This complex nature of DM and DE explains our inability to see DM or harvest DE for the last several decades. The positive complex DM is responsible for preserving the integrity of galaxies and all material systems. The negative complex charged DE induces a positive repelling force with the positively charged DM and contributes to the universe’s expansion. Both fields are Lorentz invariants in all directions and entangle the whole universe. The paper uses CFT to investigate zero-point energy, particle-wave duality, relativistic mass increase, and entanglement phenomenon and unifies Coulomb’s and Newton’s laws. The paper also verifies the existence of tachyons and explains the spooky action of quantum mechanics at a distance. The paper encourages further research into how CFT might resolve several physical mysteries in physics.
文摘BACKGROUND Patients with depression following coronary heart disease often exhibit insufficient psychological resilience and self-care abilities;therefore,emphasis must be placed on nursing interventions.AIM To analyze the application value of problem-oriented education combined with nursing interventions based on the Snyder hope theory model in depressed patients after percutaneous coronary intervention(PCI).METHODS This study included 150 patients diagnosed with PCI postoperative depression because of coronary heart disease between February 2022 and February 2024.Participants were divided into two groups:A control group(n=75)receiving problem-oriented education and an observation group(n=75)receiving combined nursing interventions based on the Snyder hope theory model.Depression status,psychological resilience,self-care ability,and quality of life were compared between the two groups.RESULTS Before nursing interventions,there were no significant differences between the two groups(P>0.05).After the interventions,depression scores decreased while psychological resilience,self-care ability,and quality of life scores increased significantly in the observation group compared to that in the control group,with statistically significant differences noted(P<0.05).This combined approach can enhance psychological resilience,improve self-care abilities,and elevate the overall quality of life,warranting further promotion in clinical practice.CONCLUSION Combination of problem-oriented education and nursing interventions based on the Snyder hope theory model effectively alleviates depression in patients following PCI for coronary heart disease.
基金This work described herein was supported by the Program of China Scholarship Council(202206430008)the National Natural Science Foundation of China(NSFC)(52074300 and 52304111)+1 种基金the Yueqi Young Scholars Project of China University of Mining and Technology Beijing(2602021RC84)the Guizhou province science and technology planning project([2020]3007 and[2020]2Y019).
文摘The 110-mining method,a rising and revolutionary non-pillar longwall mining method,can obviously expand coal extraction ratio and minimize roadway incidents.However,in case of composite hard roof,problems such as difficulty in commanding the entry steadiness and insufficient fragmentation and bulking of the goaf gangue are prevalent.In this study,a 110-mining method for roadway surrounding rock stability control technology based on a compensation mechanism was proposed.First,the composite hard roof cutting short cantilever beam(SCB)model was built and the compensation mechanism including stress and space dual compensation was studied.Subsequently,the controllable elements influencing the roadway steadiness were confirmed to consequently put forward a control technology based on stress compensation for entry support and space compensation for the fragmentation and bulking of goaf gangue.The control technology was finally verified through onsite engineering experiments in terms of composite hard roof.The adoption of the 110-mining method with compensation control technology indicated good support effect on the roadway.The initial and residual expansion coefficients of the goaf gangue increased by 0.6 and 0.6,respectively,and the maximum and average working resistances of the working face support decreased by 10.9%and 13.8%,respectively.Consequently,the deformations of reserved entry decreased,and entry steadiness was enhanced.The presented technique and effects got probably have practical values for non-pillar mining functions in comparable field.
文摘In 2004 and 2014,two monographs on hypobaric storage(LP)were published by Stanley P.Burg.Based on his theoretical framework and technological advancements,as well as the research and development of equipment conducted under his guidance,alongside customer practices and reflections on various scientific literature both domestically and internationally,it is posited that,as articulated in the monograph,misconceptions regarding his theory and technology in Western scientific literature prior to 1985 continue to persist.This ongoing dissemination of misunderstandings has resulted in a near stagnation of research and has adversely impacted the Chinese academic community as well.Consequently,it is essential to delineate the characteristics and main points of its theory and technology,with the aim of offering guidance to individuals seeking to comprehend its foundational purpose.LP technology is a dynamic physical technology that continuously and uninterruptedly extracts air from a closed container and simultaneously introduces fresh,low-pressure moist air from the external environment,while maintaining specific levels of humidity and/or temperature within the container and upholding a predetermined pressure value.Preservation technology is the collective term for the set of various technical parameters associated with preservation,including pressure,relative humidity,and other relevant factors,to which LP equipment is specifically designed.The theory of LP is characterized by the enhanced diffusion of gases and vapors that enter and exit the commodity in a dynamic manner under low pressure conditions.The theoretical points involve equipment performance,low pressure,the impact of trace concentrations of gases such as O_(2),CO_(2) and C_(2)H_(4) that naturally occur at low pressure,diffusive mass transfer,heat transfer,and impacts on the activity of enzymes associated with maturation and senescence.The technology is characterized by dynamic low pressure,and the range of commodities preserved is comparable to that of refrigeration.However,certain commodities exiting the hypobaric environment possess subsequent preservation advantages that are not available through refrigeration.The main points of the technology encompass an extended sotrage life,a postponement of quality degradation,minimized water loss,the suppression of pathogen growth,and the killing of both internal and external insects of the commodity under dynamic low pressure conditions.The core advantage of LP technology lies in its ability to significantly reduce water loss,inhibit respiration and C_(2)H_(4) action,and pathogen growth,killing insects and modulate the activity of enzymes associated with maturation and senescence in post-harvest fresh horticultural products.Consequently,this technology plays a crucial role in prolonging the post-harvest lifespan of these commodities and mitigating quality degradation.Over the past decade,researchers in China have developed a hypobaric short period treatment technology,grounded in LP theory and technical practice,which is commonly referred to as hypobaric treatment.This method has garnered significant attention,leading to an increase in both domestic and international research.A growing body of literature categorizes LP as hypobaric treatment,while some studies also consider vacuum packaging and modified atmosphere packaging(MAP)as LP or hypobaric treatment.Misunderstandings are exacerbated by confusion surrounding nomenclature,which,in conjunction with pre-existing misconceptions,represents a significant barrier to both the research and practical application of the technology.The successful commercial implementation of a vacuum cold fresh chain,centered on LP or hypobaric treatment technology,may be the sole solution to the prevailing misunderstandings associated with LP.
