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THE RELATIVE VOLUME FUNCTION AND THE CAPACITY OF SPHERE ON ASYMPTOTICALLY HYPERBOLIC MANIFOLDS
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作者 Xiaoshang JIN 《Acta Mathematica Scientia》 2025年第3期755-770,共16页
Following the work of Li-Shi-Qing, we propose the definition of the relative volume function for an AH manifold. It is not a constant function in general and we study the regularity of this function. We use this funct... Following the work of Li-Shi-Qing, we propose the definition of the relative volume function for an AH manifold. It is not a constant function in general and we study the regularity of this function. We use this function to provide an accurate characterization of the height of the geodesic defining function for the AH manifold with a given boundary metric. Furthermore, it is shown that such functions are uniformly bounded from below at infinity and the bound only depends on the dimension. In the end, we apply this function to study the capacity of balls in AH manifolds and demonstrate that the “relative p—capacity function” coincides with the relative volume function under appropriate curvature conditions. 展开更多
关键词 conformally compact relative volume geodesic defining function capacity
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The Impact of Adolescent and Young Adult Cancer-AJA-on Family Functioning.Study of Family Relationships in Terms of Adaptability and Cohesion
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作者 Voskan Kirakosyan Manon Arnoult 《Psycho-Oncologie》 SCIE 2024年第4期337-347,共11页
Objectives:The arrival of cancer in adolescents and young adults(aged 15 to 24 years)-Adolescents and young adults(AJA)-corresponds to a fragile period during which the adulthood of the young person and the evolution ... Objectives:The arrival of cancer in adolescents and young adults(aged 15 to 24 years)-Adolescents and young adults(AJA)-corresponds to a fragile period during which the adulthood of the young person and the evolution of family ties mobilize the family as a whole.Therefore,cancer,beyond its individual traumatic dimension,affects the whole family,which can modify family ties and family functioning.Our objective is to evaluate family functioning from the complex model evaluating cohesion and adaptability when an adolescent or young adult has cancer.Methods:Adolescents and young adults with cancer(n=41),mothers(n=41),and fathers(n=13)participated in this study.They completed the Family Adaptation and Cohesion Scales(FACES Ⅲ)questionnaire.Family functioning when an aya is ill has been compared to that of families without any disease.Results:a comparison of the mean scores of perceived cohesion and adaptability of face Ⅲ indicates no significant difference for cohesion.In contrast,the averages of the adaptability scores of our sample with those of the general population indicate that families with cancer hais generally feel more“adaptable”than the non-clinical population.These results are statistically significant for AJA,but also for mothers and fathers.Regarding the mean scores of ideal cohesion and ideal adaptability,there are no significant differences between fathers in our sample and fathers in the general population.In contrast,mothers in our sample had less ideal adaptability than those in the general population.In aya patients with cancer,the scores of both adaptability and cohesion were significantly different from those of non-diseased adolescents.Conclusion:Cancer leads to many changes in family relationships,making it difficult to empower the young patient and latent the evolution of the relationship. 展开更多
关键词 Adolescent and young adult CANCER and family and family functioning family relations relations
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On the pragmatic functions of non-restrictive relational clauses in English news report discourse
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作者 胡江 《Sino-US English Teaching》 2009年第12期33-37,共5页
Traditional syntactic or semantic theories failed to provide a satistactory explanation for the unique features of non-restrictive relational clauses in people's daily use of English language. This paper would adopt ... Traditional syntactic or semantic theories failed to provide a satistactory explanation for the unique features of non-restrictive relational clauses in people's daily use of English language. This paper would adopt the theoretical framework of pragmatics and use relevance theory as well as face theory to discuss the unique pragmatic functions of non-restrictive relational clauses in English news report discourse. The three major pragmatic functions are: (1) optimizing the relevance of information; (2) seeking for the consistence with readers; and (3) avoiding imposing the author's opinion on readers. 展开更多
关键词 non-restrictive relational clauses relevance theory face theory pragmatic functions
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Hypidone hydrochloride(YL-0919)ameliorates functional deficits after traumatic brain injury in mice by activating the sigma-1 receptor for antioxidation 被引量:2
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作者 Yafan Bai Hui Ma +5 位作者 Yue Zhang Jinfeng Li Xiaojuan Hou Yixin Yang Guyan Wang Yunfeng Li 《Neural Regeneration Research》 SCIE CAS 2025年第8期2325-2336,共12页
Traumatic brain injury involves complex pathophysiological mechanisms,among which oxidative stress significantly contributes to the occurrence of secondary injury.In this study,we evaluated hypidone hydrochloride(YL-0... Traumatic brain injury involves complex pathophysiological mechanisms,among which oxidative stress significantly contributes to the occurrence of secondary injury.In this study,we evaluated hypidone hydrochloride(YL-0919),a self-developed antidepressant with selective sigma-1 receptor agonist properties,and its associated mechanisms and targets in traumatic brain injury.Behavioral experiments to assess functional deficits were followed by assessment of neuronal damage through histological analyses and examination of blood-brain barrier permeability and brain edema.Next,we investigated the antioxidative effects of YL-0919 by assessing the levels of traditional markers of oxidative stress in vivo in mice and in vitro in HT22 cells.Finally,the targeted action of YL-0919 was verified by employing a sigma-1 receptor antagonist(BD-1047).Our findings demonstrated that YL-0919 markedly improved deficits in motor function and spatial cognition on day 3 post traumatic brain injury,while also decreasing neuronal mortality and reversing blood-brain barrier disruption and brain edema.Furthermore,YL-0919 effectively combated oxidative stress both in vivo and in vitro.The protective effects of YL-0919 were partially inhibited by BD-1047.These results indicated that YL-0919 relieved impairments in motor and spatial cognition by restraining oxidative stress,a neuroprotective effect that was partially reversed by the sigma-1 receptor antagonist BD-1047.YL-0919 may have potential as a new treatment for traumatic brain injury. 展开更多
关键词 antidepressant drug blood-brain barrier cognitive function hypidone hydrochloride(YL-0919) neurological function nuclear factor-erythroid 2 related factor 2 oxidative stress sigma-1 receptor superoxide dismutase traumatic brain injury
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Effect of hydrostatic stress on yield function and plastic constitutive relations
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作者 盖秉政 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第4期328-333,共6页
A new yield function taking effect of hydrostatic stress into account is presented through establishing and solving the functional equation satisfied by the yield function, and its characteristic is simple in form and... A new yield function taking effect of hydrostatic stress into account is presented through establishing and solving the functional equation satisfied by the yield function, and its characteristic is simple in form and strong in generality. In order to reveal its availability, a comparison is made between the results obtained with it and the experimental results of grey cast iron has be done, both seem to be in good agreement. At the same time, taking the yield function obtained here as a potential function, a new associative plastic constitutive equation taking effect of hydrostatic stress into account is built, and the plastic volume change ratio of plastic deformation is given. 展开更多
关键词 hydrostatic stress yield function plastic constitutive relations
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Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind
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作者 Yan Hong Bai-Ni Guo Feng Qi 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第10期409-423,共15页
In the paper,by virtue of a general formula for any derivative of the ratio of two differentiable functions,with the aid of a recursive property of the Hessenberg determinants,the authors establish determinantal expre... In the paper,by virtue of a general formula for any derivative of the ratio of two differentiable functions,with the aid of a recursive property of the Hessenberg determinants,the authors establish determinantal expressions and recursive relations for the Bessel zeta function and for a sequence originating from a series expansion of the power of modified Bessel function of the first kind. 展开更多
关键词 Determinantal representation recursive relation series expansion first kind modified Bessel function Bessel zeta function Pochhammer symbol gamma function Hessenberg determinant
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Relationship between Traffic Related Air Pollutants and Cognitive Function among Elderly in Egypt
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作者 Tomader Taha Abdel Rahman Maram Maher Monier +1 位作者 Sally Adel Hakim Lamyaa Kamel Ebrahim 《Advances in Aging Research》 2019年第1期1-13,共13页
Background: Cognitive impairment is a major health issue particularly with the increasing aging population. There are around 47.5 million dementia cases globally. Traffic air pollution issue is a chief environmental p... Background: Cognitive impairment is a major health issue particularly with the increasing aging population. There are around 47.5 million dementia cases globally. Traffic air pollution issue is a chief environmental problem principally in the mega cities such as Cairo. Methodology: In a Cross sectional and comparative research study the study subjects recruited involved 200 individuals, categorized into two research groups: 100 from Cairo’s elderly home residents and 100 from EL-Gharbaya’s elderly home residents. Results: Statistical linear regression analysis revealed that fine particulate matter, carbon monoxide, and nitric oxide have a statistically significant impact on cognitive function (p values Conclusions: Traffic related air pollutants were strongly associated with cognitive impairment within elderly population in geriatric home residents in Egypt. Regarding to statistically significant difference in concentration of traffic related air pollutants between urban and rural areas, urban areas were more polluted than rural areas. 展开更多
关键词 COGNITIVE function TRAFFIC relatED Air POLLUTANTS ELDERLY in EGYPT
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Transverse Vector Vertex Function and Transverse Ward-Takahashi Relations in QED
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作者 HE Han-Xin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1X期109-112,共4页
The transverse vector vertex function in momentum space in four-dimensional QED is derived in terms of a set of transverse Ward-Takahashi relations for the vector and the axial-vector vertices in the case of massless ... The transverse vector vertex function in momentum space in four-dimensional QED is derived in terms of a set of transverse Ward-Takahashi relations for the vector and the axial-vector vertices in the case of massless fermion. It is demonstrated explicitly that the transverse vector vertex function derived this way to one-loop order leads to the same result as one obtained in perturbation theory. This provides a basic approach to determine the transverse part of basic vertex function from the symmetry relations of the system. 展开更多
关键词 transverse vertex function transverse Ward-Takahashi relations
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Relations and Functions
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作者 岐山 《中学数学教学参考(上半月高中)》 北大核心 2006年第11期58-58,共1页
Using ordered pairs,we can formulate themathematical theory of relations in set-theoreticlanguage.By a relation we mean here something likemarriage (between men and women) or belonging(between elements and sets).Looki... Using ordered pairs,we can formulate themathematical theory of relations in set-theoreticlanguage.By a relation we mean here something likemarriage (between men and women) or belonging(between elements and sets).Looking at any specific relation,such asmarriage for instance,we might be tempted toconsider certain ordered pairs (x,y),namely justthose for which x is a man,y is a woman,and x ismarried to y.We have not yet seen the definition 展开更多
关键词 relations and functions
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iTRAQ-based quantitative proteomic profiling of the regulatory mechanisms on immune functions and blood lipids in aged mice fed with Lentinula edodes-derived polysaccharides
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作者 Xiaofei Xu Xiaofei Liu +2 位作者 Jin Chen Jingjing Guan Donghui Luo 《Food Science and Human Wellness》 2025年第5期1840-1853,共14页
The mechanisms of mushroom polysaccharides on immune functions and lipid metabolism of aged mammals have not been fully elucidated.In the present study,after assessing the impacts of one type of Lentinula edodes-deriv... The mechanisms of mushroom polysaccharides on immune functions and lipid metabolism of aged mammals have not been fully elucidated.In the present study,after assessing the impacts of one type of Lentinula edodes-derived polysaccharides,named L2,on immune functions and blood lipid profiles,isobaric tags for relative and absolute quantification(iTRAQ)-based proteomic profiling of the small intestinal tissues from aged mice treated with L2 was performed.L2 reversed immune function declines and modulated the lipid metabolism of aged mice evidenced by increased levels of serum TC,HDL-C,and LDL-C,and reduced levels of serum TG.Moreover,a total of 95 differentially regulated proteins(DRPs) were identified,of which75 were up-regulated and 20 were down-regulated.Most of the DRPs were involved in intracellular and extracellular structure organization,and cellular and metabolic regulation.Particularly,approximately 16 and 9 DRPs participated in the regulation of immune functions and lipid metabolism,respectively.Furthermore,protein-protein interaction analysis highlighted that cadherin-1,plectin,cadherin-17,Ras GTPase-activating-like protein IQGAP2,and ezrin might be key proteins in response to L2 treatment.These findings provide new insights into the biological mechanisms of mushroom polysaccharides in anti-aging from a proteomic perspective. 展开更多
关键词 Mushroom polysaccharides Immune function Isobaric tags for relative and absolute quantification(iTRAQ)proteomics Blood lipid Intestinal tissue
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Determining the Relations between Protein Sub-Function Categories Based on Overlapping Proteins
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作者 Khaled Sayed Ahmed Nahed H. Solouma Yasser M. Kadah 《通讯和计算机(中英文版)》 2011年第3期240-245,共6页
关键词 蛋白质组学 功能分类 蛋白质功能 基础 预测过程 细胞功能 技术
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Density Functional Study on Structures and Relative Stability of Gd(H2O)n^3+ (n=8,9)
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作者 肖伟 夏琼琼 +2 位作者 章永凡 宁利新 崔执凤 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2009年第4期395-400,448,共7页
Density functional theory calculations were performed to study the structures and relative stability of the gadolinium complexes, Gd(H2O)n^3+ (n=8,9), in vacuo and in aqueous solution. The polarizable continuum m... Density functional theory calculations were performed to study the structures and relative stability of the gadolinium complexes, Gd(H2O)n^3+ (n=8,9), in vacuo and in aqueous solution. The polarizable continuum model with various radii for the solute cavity was used to study the relative stability in aqueous solution. The calculated molecular geometries for n=8 and 9 obtained in vacuo are consistent with those observed in experiments. It was found that while the nona-aqua complex is favored in the gas phase, in aqueous solution the octa-aqua conformation is preferred. This result, independent of the types of cavities employed, is in agreement with the experimental observation. The reliability of the present calculation was also addressed by comparing the calculated and experimental free energy of hydration, which revealed that the UA0, UAHF, and UAKS cavities are most appropriate when only the first solvation shell is treated explicitly. 展开更多
关键词 Density functional theory Gadolinium hydrate relative stability Polarizable continuum model Solute cavity
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A New Citation Recommendation Strategy Based on Term Functions in Related Studies Section 被引量:2
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作者 Haihua Chen 《Journal of Data and Information Science》 CSCD 2021年第3期75-98,共24页
Purpose:Researchers frequently encounter the following problems when writing scientific articles:(1)Selecting appropriate citations to support the research idea is challenging.(2)The literature review is not conducted... Purpose:Researchers frequently encounter the following problems when writing scientific articles:(1)Selecting appropriate citations to support the research idea is challenging.(2)The literature review is not conducted extensively,which leads to working on a research problem that others have well addressed.The study focuses on citation recommendation in the related studies section by applying the term function of a citation context,potentially improving the efficiency of writing a literature review.Design/methodology/approach:We present nine term functions with three newly created and six identified from existing literature.Using these term functions as labels,we annotate 531 research papers in three topics to evaluate our proposed recommendation strategy.BM25 and Word2vec with VSM are implemented as the baseline models for the recommendation.Then the term function information is applied to enhance the performance.Findings:The experiments show that the term function-based methods outperform the baseline methods regarding the recall,precision,and F1-score measurement,demonstrating that term functions are useful in identifying valuable citations.Research limitations:The dataset is insufficient due to the complexity of annotating citation functions for paragraphs in the related studies section.More recent deep learning models should be performed to future validate the proposed approach.Practical implications:The citation recommendation strategy can be helpful for valuable citation discovery,semantic scientific retrieval,and automatic literature review generation.Originality/value:The proposed citation function-based citation recommendation can generate intuitive explanations of the results for users,improving the transparency,persuasiveness,and effectiveness of recommender systems. 展开更多
关键词 Citation recommendation Term function Citation context related studies section BM25 Word2vec
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RELATIVE WIDTH OF SMOOTH CLASSES OF MULTIVARIATE PERIODIC FUNCTIONS WITH RESTRICTIONS ON ITERATED LAPLACE DERIVATIVES IN THE L_2-METRIC 被引量:1
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作者 刘永平 杨连红 《Acta Mathematica Scientia》 SCIE CSCD 2006年第4期720-728,共9页
For two subsets W and V of a Banach space X, let Kn(W, V, X) denote the relative Kolmogorov n-width of W relative to V defined by Kn(W,V,X):=inf sup inf/Ln f∈W g∈V∩Ln‖f-g‖x, where the infimum is taken over ... For two subsets W and V of a Banach space X, let Kn(W, V, X) denote the relative Kolmogorov n-width of W relative to V defined by Kn(W,V,X):=inf sup inf/Ln f∈W g∈V∩Ln‖f-g‖x, where the infimum is taken over all n-dimensional linear subspaces Ln of X. Let W2(△^τ) denote the class of 2π-periodic functions f with d-variables satisfying ∫[-π, π]^d|△^τf(x)|^2dx≤1, while △^τ is the r-iterate of Laplace operator △. This article discusses the relative Kolmogorov n-width of W2(△^τ) relative to W2(△^τ) in Lq([-π, π]^d) (1≤ q ≤ ∞), and obtain its weak asymptotic result. 展开更多
关键词 Multivariate function classes WIDTH relative width
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Glucomannan for abdominal pain-related functional gastrointestinal disorders in children:A randomized trial 被引量:3
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作者 Andrea Horvath Piotr Dziechciarz Hania Szajewska 《World Journal of Gastroenterology》 SCIE CAS 2013年第20期3062-3068,共7页
AIM:To assess the efficacy of glucomannan(GNN) as the sole treatment for abdominal pain-related functional gastrointestinal disorders(FGIDs).METHODS:We conducted a double-blind,placebocontrolled,randomized trial.Patie... AIM:To assess the efficacy of glucomannan(GNN) as the sole treatment for abdominal pain-related functional gastrointestinal disorders(FGIDs).METHODS:We conducted a double-blind,placebocontrolled,randomized trial.Patients were recruited among children referred to the Department of Paediatrics,Medical University of Warsaw.Included in the study were children aged 7-17 years with abdominal pain-related FGIDs classified according to the Rome Ⅲ diagnostic criteria.The children were randomly assigned to receive GNN,a polysaccharide of 1,4-D-glucose and D-mannose,a soluble fiber from the Japanese Konjac plant,at a dosage of 2.52 g/d(1 sachet of 1.26 g 2 times a day),or a comparable placebo(maltodextrin) at the same dosage.The content of each sachet was dissolved in approximately 125 mL of fluid and was consumed twice daily for 4 wk.RESULTS:Of the 89 eligible children,84(94%) completed the study."No pain" and "treatment success"(defined as no pain or a decrease ≥ 2/6 points on the FACES Pain Scale Revised) were similar in the GNN(n = 41) and placebo(n = 43) groups [no pain(12/41 vs 6/43,respectively;RR = 2.1,95%CI:0.87-5.07) as well as treatment success(23/41 vs 20/43;RR = 1.2,95%CI:0.79-1.83)].No significant differences between the groups were observed in the secondary outcomes,such as abdominal cramps,abdominal bloating/gassiness,episodes of nausea or vomiting,or a changed in stool consistency.GNN demonstrated no significant influence on the number of children requiring rescue therapy,school absenteeism,or daily activities.CONCLUSION:In our setting,GNN,as dosed in this study,was no more effective than the placebo in achieving therapeutic success in the management of FGIDs in children. 展开更多
关键词 functionAL ABDOMINAL pain ABDOMINAL painrelated functionAL GASTROINTESTINAL DISORDERS CHILDREN
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SOME IDENTITY RELATIONS BETWEEN PLANE PROBLEMS FOR VISCO-AND ELASTICITY
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作者 杨骁 程昌钧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第12期0-0,0-0+0-0+0-0+0,共9页
In this paper.the boundary value problems of plane problems with a simply-ormultiply-connected domain for isotropic linear visca-elosticity are first established byterms of Airy stress function F(Xu t). Secondly some ... In this paper.the boundary value problems of plane problems with a simply-ormultiply-connected domain for isotropic linear visca-elosticity are first established byterms of Airy stress function F(Xu t). Secondly some identity relations betweendisplacements and stresses for plane problems of sisco-and elasticity are discussed indetait and some meaningful conclusions are obtained As an example the deformationresponse for viscoelastic plate with a small circular hote at the center is analyzed undera uniasial uniform extension. 展开更多
关键词 VISCOELASTICITY plane problem Airy stress function identity relation integral constitutive relation
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The empirical relationships between M_S,m_band M_L for China and vicinity
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作者 杨智娴 张培震 《Acta Seismologica Sinica(English Edition)》 CSCD 1998年第5期9-16,共8页
IntroductionMeasuringthesizeofanearthquakeusingauniformscaleisveryimportantinseismichazardasesment,earthquak... IntroductionMeasuringthesizeofanearthquakeusingauniformscaleisveryimportantinseismichazardasesment,earthquakeprediction,andb... 展开更多
关键词 MAGNITUDE empirical relation uncertainty complementary cumulative distribution function
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Gauss Principle of Least Compulsion for Relative Motion Dynamics and Differential Equations of Motion 被引量:2
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作者 ZHANG Yi XIA Junling 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第3期273-283,共11页
This paper focuses on Gauss principle of least compulsion for relative motion dynamics and derives differential equations of motion from it. Firstly, starting from the dynamic equation of the relative motion of partic... This paper focuses on Gauss principle of least compulsion for relative motion dynamics and derives differential equations of motion from it. Firstly, starting from the dynamic equation of the relative motion of particles, we give the Gauss principle of relative motion dynamics. By constructing a compulsion function of relative motion, we prove that at any instant, its real motion minimizes the compulsion function under Gaussian variation, compared with the possible motions with the same configuration and velocity but different accelerations. Secondly, the formula of acceleration energy and the formula of compulsion function for relative motion are derived because the carried body is rigid and moving in a plane. Thirdly, the Gauss principle we obtained is expressed as Appell, Lagrange, and Nielsen forms in generalized coordinates. Utilizing Gauss principle, the dynamical equations of relative motion are established. Finally, two relative motion examples also verify the results' correctness. 展开更多
关键词 relative motion dynamics Gauss principle of least compulsion acceleration energy compulsion function
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A Functional Analysis of English Relative Clauses
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作者 廖琪 《海外英语》 2014年第13期248-250,共3页
Relative clauses in traditional grammars,which are sometimes called attributive clauses,are divided into two types:restrictive and non-restrictive.Building upon the discussion of recursion in Halliday’s Systemic Func... Relative clauses in traditional grammars,which are sometimes called attributive clauses,are divided into two types:restrictive and non-restrictive.Building upon the discussion of recursion in Halliday’s Systemic Functional Grammar(SFG),this paper conducts a functional syntactic analysis of such clauses,aimed at probing into their logical structures. 展开更多
关键词 relatIVE CLAUSES RECURSION functionAL SYNTAX analy
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Phonon dispersion relations and soft modes of 4 carbon nanotubes
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作者 缪灵 刘惠军 +3 位作者 胡懿 周详 胡承正 石兢 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第1期426-430,共5页
The phonon dispersion relations of three kinds of 4 A carbon nanotubes are calculated by using the density functional perturbation theory. It is found that the frequencies of some phonon modes are very sensitive to th... The phonon dispersion relations of three kinds of 4 A carbon nanotubes are calculated by using the density functional perturbation theory. It is found that the frequencies of some phonon modes are very sensitive to the smearing width used in the calculations, and eventually become negative at low electronic temperature. Moreover, two kinds of soft modes are identified for the (5,0) tube which are quite different from those reported previously. Our results suggest that the (5,0) tube remains metallic at very low temperature, instead of the metallie-semiconducting transition claimed before. 展开更多
关键词 phonon dispersion relations density functional theory carbon nanotubes
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