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Generalization Rough Set Theory 被引量:2
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作者 肖迪 张军峰 胡寿松 《Journal of Donghua University(English Edition)》 EI CAS 2008年第6期654-658,共5页
In order to avoid the discretization in the classical rough set theory, a generlization rough set theory is proposed. At first, the degree of general importance of an attribute and attribute subsets are presented. The... In order to avoid the discretization in the classical rough set theory, a generlization rough set theory is proposed. At first, the degree of general importance of an attribute and attribute subsets are presented. Then, depending on the degree of general importance of attribute, the space distance can be measured with weighted method. At last, a generalization rough set theory based on the general near neighborhood relation is proposed. The proposed theory partitions the universe into the tolerant modules, and forms lower approximation and upper approximation of the set under general near neighborhood relationship, which avoids the discretization in Pawlak's rough set theory. 展开更多
关键词 generalization rough set theory the degree of general importance general near neighborhood relation
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On the Philosophical Ontology for a General System Theory 被引量:7
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作者 CUI Weicheng 《Journal of Philosophy Study》 2021年第6期443-458,共16页
System is a very general concept and theoretically speaking, every problem encountered can be modeled as a system. Thus, the general system theory (GST) proposed by Bertalanffy (1968) and developed by many others e.g.... System is a very general concept and theoretically speaking, every problem encountered can be modeled as a system. Thus, the general system theory (GST) proposed by Bertalanffy (1968) and developed by many others e.g. Bunge (1977;1979;1983a;1983b) and Maturana and Varela (1980;1987) could be treated as a theory of everything (TOE). However, it is well-known that the present version of GST has not reached the level of TOE because it lacks a clear ontology. Currently, quantum mechanics (QM), Newtonian mechanics (NM) and general relativity (GR), suitable for microscopic, macroscopic and cosmic phenomena respectively are based on very different ontologies. In this paper, a unified ontology for the general system theory which could be applied to any scale from micro to cosmic is proposed. It is expected that this could lay a foundation to generalize GST to TOE. 展开更多
关键词 system general system theory PHILOSOPHY METAPHYSICS ONTOLOGY MATTER MIND aether
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Can we have a general theory of financial innovation processes? A conceptual review 被引量:2
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作者 Tamer Khraisha Keren Arthur 《Financial Innovation》 2018年第1期62-88,共27页
Introduction:Since the financial crisis of 2008,the theory of financial innovation has been a focus at a time of re-evaluation and re-conceptualization.However,little has been done to evaluate the current state of res... Introduction:Since the financial crisis of 2008,the theory of financial innovation has been a focus at a time of re-evaluation and re-conceptualization.However,little has been done to evaluate the current state of research considering the increasing complexity of financial innovation.This paper examines the hypothesis of a general theory that encompasses increasing complexities in the financial innovation process.Methods:The paper begins with an overview of the definitions,the features,and the classification schemes of financial innovation.Additionally,the paper reviews the existing literature on the main objects of study in financial innovation and groups the findings under four main concepts.A conceptual analysis is presented that evaluates current approaches to the study of the financial innovation process and the difficulties inherent in constructing a single general theory.The paper proposes a framework based on a meta-theory of financial innovation as a better approach to understanding the inherent complexities and diversities affecting financial innovations.Discussion:(1)Financial innovations present diversities and complexities that make it infeasible to build a unifying general theory to explain their development.(2)The current state of research on financial innovation theories is limited and requires additional input.(3)A meta-theory that identifies,classifies,and connects theories of development for financial innovations is better suited to explaining the complexity of financial innovation processes. 展开更多
关键词 Financial innovation process COMPLEXITY META-theory General theory
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Re-examination of the Two-Body Problem Using Our New General System Theory 被引量:3
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作者 PAN Lingli CUI Weicheng 《Journal of Philosophy Study》 2021年第12期891-913,共23页
It is well-known that philosophical conflicts exist among classical mechanics,quantum mechanics and relativistic mechanics.In order to use the framework of general system theory to unify these three mechanics subjects... It is well-known that philosophical conflicts exist among classical mechanics,quantum mechanics and relativistic mechanics.In order to use the framework of general system theory to unify these three mechanics subjects,a new general system theory is developed based on a new ontology of ether and minds as the fundamental existences in the world.The two-body problem is the simplest model in mechanics and in this paper,it is re-examined by using our new general system theory.It is found that the current description of the classical full two-body problem is inappropriate since the observer and the measurement apparatus have not been explicitly considered.After considering these,it is actually a three-body problem while only the special case of the Kepler problem is the two-body problem.By introducing the concepts of psychic force and psychic field,all the possible movement states in the two-body problem can be explained within the framework of classical mechanics.There is no need to change the meanings of many fundamental concepts,such as time,space,matter,mass,and energy as done in quantum mechanics and relativity theory.This points out a new direction for the unification of different theories. 展开更多
关键词 two-body problem new general system theory gravitational field psychic field classical mechanics quantum mechanics relativity theory
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Intelligent Transformation: General Intelligence Theory 被引量:1
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作者 Alexander Ngu Amaya Odilon Kosso 《International Journal of Intelligence Science》 2024年第3期59-70,共12页
This paper aims to formalize a general definition of intelligence beyond human intelligence. We accomplish this by re-imagining the concept of equality as a fundamental abstraction for relation. We discover that the c... This paper aims to formalize a general definition of intelligence beyond human intelligence. We accomplish this by re-imagining the concept of equality as a fundamental abstraction for relation. We discover that the concept of equality = limits the sensitivity of our mathematics to abstract relationships. We propose a new relation principle that does not rely on the concept of equality but is consistent with existing mathematical abstractions. In essence, this paper proposes a conceptual framework for general interaction and argues that this framework is also an abstraction that satisfies the definition of Intelligence. Hence, we define intelligence as a formalization of generality, represented by the abstraction ∆∞Ο, where each symbol represents the concepts infinitesimal, infinite, and finite respectively. In essence, this paper proposes a General Language Model (GLM), where the abstraction ∆∞Ο represents the foundational relationship of the model. This relation is colloquially termed “The theory of everything”. 展开更多
关键词 INTELLIGENCE generalization ABSTRACTION TRANSFORMATION General Language Model General Intelligence theory theory of Everything
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A Theory of Evolving Natural Constants Based on the Unification of General Theory of Relativity and Dirac’s Large Number Hypothesis
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作者 PENGHuan-Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第1期81-88,共8页
Talcing Dirac's large number hypothesis as true, we have shown [Commun.Theor. Phys. (Beijing, China) 42 (2004) 703] the inconsistency of applying Einstein's theory ofgeneral relativity with fixed gravitation c... Talcing Dirac's large number hypothesis as true, we have shown [Commun.Theor. Phys. (Beijing, China) 42 (2004) 703] the inconsistency of applying Einstein's theory ofgeneral relativity with fixed gravitation constant G to cosmology, and a modified theory for varyingG is found, which reduces to Einstein's theory outside the gravitating body for phenomena of shortduration in small distances, thereby agrees with all the crucial tests formerly supportingEinstein's theory. The modified theory, when applied to the usual homogeneous cosmological model,gives rise to a variable cosmological tensor term determined by the derivatives of G, in place ofthe cosmological constant term usually introduced ad hoc. Without any free parameter thetheoretical Hubble's relation obtained from the modified theory seems not in contradiction toobservations, as Dr. Wang's preliminary analysis of the recent data indicates [Commun. Theor. Phys.(Beijing, China) 42 (2004) 703]. As a complement to Commun. Theor. Phys. (Beijing, China) 42 (2004)703 we shall study in this paper the modification of electromagnetism due to Dirac's large numberhypothesis in more detail to show that the approximation of geometric optics still leads to nullgeodesies for the path of light, and that the general relation between the luminosity distance andthe proper geometric distance is still valid in our theory as in Einstein's theory, and give theequations for homogeneous cosmological model involving matter plus electromagnetic radiation.Finally we consider the impact of the modification to quantum mechanics and statistical mechanics,and arrive at a systematic theory of evolving natural constants including Planck's h as well asBoltzmann's k_B by finding out their cosmologically combined counterparts with factors ofappropriate powers of G that may remain truly constant to cosmologically long time. 展开更多
关键词 general theory of relativity natural constants dirac's large numberhypothesis
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Some Views on the Contribution of Design Theory to Engineering Education
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作者 HUYSENTRUYT Johnny CHEN David 《计算机教育》 2012年第10期8-11,共4页
This paper aims at presenting the organisation,the findings and the lessons learnt of a design casestudy workshop organized in the context of UB1-HIT joint master programme.After presenting the content and the evoluti... This paper aims at presenting the organisation,the findings and the lessons learnt of a design casestudy workshop organized in the context of UB1-HIT joint master programme.After presenting the content and the evolution of this workshop over the years,findings and lessons learnt are discussed and final conclusions and perspectives are being proposed at the end of the paper. 展开更多
关键词 General design theory ENGINEERING engineering education
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The Quantum Chromodynamics Gas Density Drop and the General Theory of Relativity Ether
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作者 Rami Rom 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2023年第2期445-454,共10页
β decay is one of the most fundamental and thoroughly studied nuclear decay. Surprisingly, the β decay rates were found to have a periodic time variability [1]. However, others argued that there is no evidence for s... β decay is one of the most fundamental and thoroughly studied nuclear decay. Surprisingly, the β decay rates were found to have a periodic time variability [1]. However, others argued that there is no evidence for such cyclic deviation from the exponential first order kinetics decay law [2]. Here we propose that the β decay is a pseudo-first order exchange reaction triggered by udd&utilde;exotic mesons and propose a QCD gas theory. In analogy to the atmospheric gas density, the proposed QCD gas density drops with elevation from the sun. Accordingly, we propose that the β decay rate periodic variability is due to the pseudo-first order exchange reaction kinetics and the QCD gas atmospheric density drop. The proposed QCD gas may be a possible candidate for Einstein’s general theory of relativity ether [3]. Our main results are the derived formulas for calculating the effective mass of the QCD gas and the cosmology perfect fluid equation of state dimensionless parameter, based on the measured ratio of the β decay rates at the earth trajectory aphelion and perihelion dates. . 展开更多
关键词 Nuclear Decay β Decay Rate Variability Atmospheric Density Quantum Chromodynamics (QCD) Exotic Mesons General theory of Relativity (GR) ETHER Dark Energy
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The General Theory of Law and Its Development in China
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作者 Lei Lei 《Contemporary Social Sciences》 2020年第5期81-107,共27页
Study of the general theory of law,as an independent branch of legal research,originated in Germany in the mid to late 19th century,and thereafter became a widely propagated and well-developed subject in countries suc... Study of the general theory of law,as an independent branch of legal research,originated in Germany in the mid to late 19th century,and thereafter became a widely propagated and well-developed subject in countries such as the UK and the US.Scholars from the Soviet Union combined the general theory of law with Marxist philosophy and adapted it from an analytical legal theory to a social legal theory.The inheritance and development of the general theory of law in China went through three stages.Specifically,from the 1950s to the early 1960s,the jurisprudence community fully adopted the legal theories promoted by the Soviet Union;from the early 1980s to the late 1990s,the studies reflected upon past theories and sought advancement;and from the late 1990s to present,research has adopted a more open and innovative approach.In addition,the philosophy of law and other interdisciplinary subjects have gradually become dominant research paradigms.A review and compilation based on the evolution of theories of legal relations showed that the study of the general theory of law in China is closely associated to the historical rate of progress of the practice of rule of law and jurisprudence in China.The overall framework of the research is deeply influenced by the model of“theories of the Soviet+civil-law prototypes”.In addition,the research methods have evolved from investigations utilizing a single approach to processes combining various approaches.The general theory of law is far from a“relic of history,”and corresponding in-depth research is recommended for future jurisprudence study in China. 展开更多
关键词 general theory of law legal relations social legal theory analytical legal theory
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On the Trajectory Prediction of a Throwing Object Using New General System Theory
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作者 CUI Weicheng 《Journal of Philosophy Study》 2022年第2期53-64,共12页
Trajectory prediction for the movement of a given object is one of the main tasks for the classical mechanics but in orthodox quantum mechanics,this task was announced to be an impossibility for the(sub-)atomic partic... Trajectory prediction for the movement of a given object is one of the main tasks for the classical mechanics but in orthodox quantum mechanics,this task was announced to be an impossibility for the(sub-)atomic particles by famous Heisenberg’s uncertainty principle.Of course,such an epistemology is against the philosophical beliefs of many scientists and currently another version of trajectory quantum mechanics known as Bohmian mechanics also exists.In order to unify the conflicts among classical mechanics,quantum mechanics,and relativity theory,a new general system theory(NGST)was proposed by the present author and his colleagues.The purpose of this paper is to demonstrate that it is not the scale that matters but the living nature whether the object is lifeless or living.By using the psychic force concept introduced in NGST,Newton’s second law is applied to analyze five different types of objects.They are a stone,a coin,a cat,a person,and an electron.It is found that the classical mechanics has provided adequate room to explain the various newly observed phenomena for orthodox quantum mechanics and relativity theory and for human beings various parapsychological phenomena can also be explained by classical mechanics.Therefore,it is concluded that generalization of classical mechanics is adequate and no need to develop revolutionary quantum mechanics and relativity theory. 展开更多
关键词 object type TRAJECTORY new general system theory gravitational field psychic field classical mechanics quantum mechanics
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Complexity Decision Making and General Systems Theory: An Educational Perspective
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作者 M. Kudret Yurtseven Walter W. Buchanan 《Sociology Study》 2016年第2期77-95,共19页
The aim of this paper is to look at some important educational aspects of complexity decision making m a mummsc^pnnary manner from the perspective of General Systems Theory (GST). First, the major issues involved in... The aim of this paper is to look at some important educational aspects of complexity decision making m a mummsc^pnnary manner from the perspective of General Systems Theory (GST). First, the major issues involved in complexity management and decision making are summarized as they are viewed in literature, and a review of GST and Systems Thinking is given. The discussion in the paper is developed within the context of GST in general, but concentrated on decision making in the three trends of GST: Operations Research, Cybernetics, and Managerial Cybernetics. Here, the role of Cybernetics in complexity decision making is particularly emphasized. The discussion is then extended to the latest developments in complexity decision making in Science of Complexity and Soft Systems Thinking. The study also includes a framework which is expected to guide instructors who are planning to offer contemporary courses on decision making. The framework provides some clues for assessing the level of complexity for a given situation and selecting the appropriate methodology for solution development. 展开更多
关键词 Complexity decision making General Systems theory (GST) CYBERNETICS science of complexity soft systems thinking
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A Comparison of New General System Theory Philosophy With Einstein and Bohr
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作者 CUI Weicheng LI Rong PAN Lingli 《Journal of Philosophy Study》 2023年第1期1-22,共22页
The New General System theory was developed to be a theory of everything for complex systems within the world we can observe.This theory was constructed by supplementing a new mind-ether ontology into Bertalanffy’s g... The New General System theory was developed to be a theory of everything for complex systems within the world we can observe.This theory was constructed by supplementing a new mind-ether ontology into Bertalanffy’s general system theory framework.This theory is basically a generalization of classical mechanics rather than a revolution to it taken both by Einstein and Bohr in developing their relativity theory and quantum mechanics.The purpose of this paper is to reveal the reasons why Einstein and many others fail to unify relativity theory with quantum mechanics through comparing the main differences in philosophical opinions among NGST,Einstein,and Bohr.It is the hope of the authors that this clarification could speed up the unification process. 展开更多
关键词 complex system(CS) New General System theory(NGST) theory of everything(TOE) classical mechanics(CM) relativity theory(RT) quantum mechanics(QM) Bohmian Mechanics(BM) active force entanglement of minds
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On the Vacuum Hydrodynamics of Moving Bodies—The Theory of General Singularity
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作者 Alessandro Rizzo 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第3期875-905,共31页
The Theory of General Singularity is presented, unifying quantum field theory, general relativity, and the standard model. This theory posits phonons as fundamental excitations in a quantum vacuum, modeled as a Bose-E... The Theory of General Singularity is presented, unifying quantum field theory, general relativity, and the standard model. This theory posits phonons as fundamental excitations in a quantum vacuum, modeled as a Bose-Einstein condensate. Through key equations, the role of phonons as intermediaries between matter, energy, and spacetime geometry is demonstrated. The theory expands Einsteins field equations to differentiate between visible and dark matter, and revises the standard model by incorporating phonons. It addresses dark matter, dark energy, gravity, and phase transitions, while making testable predictions. The theory proposes that singularities, the essence of particles and black holes, are quantum entities ubiquitous in nature, constituting the very essence of elementary particles, seen as micro black holes or quantum fractal structures of spacetime. As the theory is refined with increasing mathematical rigor, it builds upon the foundation of initial physical intuition, connecting the spacetime continuum of general relativity with the hydrodynamics of the quantum vacuum. Inspired by the insights of Tesla and Majorana, who believed that physical intuition justifies the infringement of mathematical rigor in the early stages of theory development, this work aims to advance the understanding of the fundamental laws of the universe and the perception of reality. 展开更多
关键词 Planck Mass GRAVITY Light PHONONS Phononic Field Vacuum Hydrodynamics Bose-Einstein Condensate PHONONS Quantum Vacuum Unification GRAVITY Dark Matter Dark Energy theory of General Singularity
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The Gravitational Potential and the Gravitational Force According to the Correct Reissner-Nordstrøm, Kerr and Kerr-Newman Metrics
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作者 Carlo Maria Pace 《Journal of Modern Physics》 2025年第1期52-92,共41页
In a recent article, we have corrected the traditional derivation of the Schwarzschild metric, thus obtaining the formulation of the correct Schwarzschild metric, which is different from the traditional Schwarzschild ... In a recent article, we have corrected the traditional derivation of the Schwarzschild metric, thus obtaining the formulation of the correct Schwarzschild metric, which is different from the traditional Schwarzschild metric. Then, in another article by starting from this correct Schwarzschild metric, we have corrected also the Reissner-Nordstrøm, Kerr and Kerr-Newman metrics. On the other hand, in a third article, always by starting from this correct Schwarzschild metric, we have obtained the formulas of the correct gravitational potential and of the correct gravitational force in the case described by this metric. Now, in this article, by starting from these correct Reissner-Nordstrøm, Kerr and Kerr-Newman metrics and proceeding in a manner analogous to this third article, we obtain the formulas of the correct gravitational potential and of the correct gravitational force in the cases described by these metrics. Moreover, we analyze these correct results and their consequences. Finally, we propose some possible crucial experiments between the commonly accepted theory and the same theory corrected according to this article. 展开更多
关键词 General theory of Relativity SCHWARZSCHILD Reissner-Nordstrøm KERR Kerr-Newman Metric Gravitational Potential Gravitational Force Orbital Motion
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Deviation of light path in Born-Infeld type gravitational field 被引量:1
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作者 张可锋 黄增光 +1 位作者 方伟 陆惠卿 《Journal of Shanghai University(English Edition)》 CAS 2006年第6期497-499,共3页
The discovery of "twin quasi-stellar objects" arose interests among astronomers and astrophysicists to study gravitational leasing problem. Deviation of light from straight path is caused by the presence of massive ... The discovery of "twin quasi-stellar objects" arose interests among astronomers and astrophysicists to study gravitational leasing problem. Deviation of light from straight path is caused by the presence of massive objects, i.e., the presence of gravitational field according to the general theory of relativity. It is shown that the low energy effective field theory on D-branes is of the Born-Infeld type. In this work a Born-Infeld type gravitational field is pasttflated. An explicit representation of the angular deviation of light path is derived based on the space time metric in the Born-Infeld theory. 展开更多
关键词 Bom-Infeld theory Einstein's general relativity theory deviation of light path.
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Re-examination of Fundamental Concepts of Heat, Work, Energy, Entropy, and Information Based on NGST 被引量:1
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作者 PAN Lingli CUI Weicheng 《Journal of Philosophy Study》 2022年第1期1-17,共17页
In order to use the framework of general system theory(GST)to unify the three mechanics subjects of classical mechanics,quantum mechanics,and relativistic mechanics,a new general system theory(NGST)is developed based ... In order to use the framework of general system theory(GST)to unify the three mechanics subjects of classical mechanics,quantum mechanics,and relativistic mechanics,a new general system theory(NGST)is developed based on a new ontology of ether and minds as the fundamental existences in the world.Based on this new ontology,many fundamental concepts have been detected to be ambiguously defined nowadays and particularly lack of ontological support.In our previous work,some of the fundamental concepts such as universe,world,time,space,matter,ether,mind,life,field,force have been redefined.The purpose of this paper is to clarify the concepts of energy,heat,work,entropy,and information in our NGST.This is an important and necessary step in the development of the NGST. 展开更多
关键词 new general system theory HEAT WORK ENERGY ENTROPY INFORMATION
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Exact 3D Thermoelastic Solutions for a Penny-Shaped Crack in an Infinite Magnetoelectric Medium 被引量:1
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作者 Chen Weiqiu 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2014年第2期109-117,共9页
Exact solutions of three-dimensional(3D)crack problems are much less in number than those of two-dimensional ones,especially for multi-field coupling media exhibiting a certain kind of material anisotropy.An exact3Dth... Exact solutions of three-dimensional(3D)crack problems are much less in number than those of two-dimensional ones,especially for multi-field coupling media exhibiting a certain kind of material anisotropy.An exact3Dthermoelastic solution has been reported for a uniformly heated penny-shaped crack in an infinite magnetoelectric space,with impermeable electromagnetic conditions assumed on the crack faces.Exact 3Dsolutions for the penny-shaped crack subjected to uniform or point temperature load are further presented here when the crack faces are electrically and magnetically permeable.The solutions,obtained by the potential theory method,are exact in the sense that all field variables are explicitly derived and expressed in terms of elementary functions.Along with the previously reported solution,the limits or bounds of the stress intensity factor at the crack-tip for a practical crack can be identified. 展开更多
关键词 magnetoelectric material potential theory method penny-shaped crack general solution exact three- dimensional solution
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A Framework for Exploring the Dynamics of Autonomous Work Groups in Manufacturing Organizations
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作者 Joseph W K Chan W B Lee 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期211-212,共2页
Nowadays, new paradigm of enterprise organization i s constantly changing due to the emergence of the global marketplace, the rise of information technology, and the emphasis of the social developments. This re quires... Nowadays, new paradigm of enterprise organization i s constantly changing due to the emergence of the global marketplace, the rise of information technology, and the emphasis of the social developments. This re quires a more flexible form of organization that are more adaptable to rapid cha nges in business environment such as autonomous work groups (AWGs) in order to achieve higher productivity and effectiveness. AWGs are work units responsib le for the production of goods and the provision of services. They involve team members in making decisions that are traditionally the responsibility of the sup ervisors and managers (Cohen & Bailey, 1997). Team members of AWGs are allowed t o self-regulate their behavior on jobs such as task assignments, methods for ca rrying out the work, and scheduling of activities etc. (Cohen & Ledford, 1994). For example, Motorola achieved a high organizational performance due to the succ essful implementation of AWGs in quality management (Piczak & Hauser, 1996). Xer ox also reported their operational successes based on the team-oriented work gr oups (Wageman, 1997). In recent years many organizations have replaced the traditional layers of manag ement with autonomous team-based work arrangements. Surveys indicated that the adoption of AWGs has soared in responding to the competitive business challenges . Many enterprises are making a deliberate effort to use AWGs to carry out work and operational processes as an alternative for hierarchical approaches (Lawler et al., 1995). There is a growing body of evidence that AWGs are more effective than traditionally managed groups and they contributes to organizational perform ance, such as improvement in operational performance, productivity, quality, cos t savings, employee attitude and behavior, and employee satisfaction (e.g. Pears on, 1992; Cohen & Ledford, 1994; Seers et al. 1995). Given the complexity and cognitive nature of team-based organizations, the mech anisms that the enterprises use in the development of the increasingly sophistic ated models, which can contribute to the effective functioning of AWGs, are extr emely important. The process of developing effective AWGs enables enterprises to inherent built-in intelligence of the organizations so that they will be more able to accommodate to external pressures and changes. The context of this paper is the construction of a dynamics framework and a stra tegic path for autonomous work groups in the technology-oriented manufacturing organization re-design. The framework is a conceptual one drawn from the litera ture survey. The importance of studying autonomous work groups for today’s manuf acturing organizations is claimed. Based on the General System Theory (GST), the characterization of AWGs is addressed. Three-dimensional domains such as t echnical content, service content, and relationship content are identified. A st rategic path is proposed to guide the organizations how the development of AWGs progresses at different levels of maturity that are associated with organization al effectiveness and performance. The utility of the model for AWGs is expected to provide technology-oriented organizations with a strategic path to achieve h igher organizational performance. 展开更多
关键词 autonomous work group three-dimensional dynamic s model general systems theory EFFECTIVENESS maturity level
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The Polar φ-Brunn-Minkowski Inequalities
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作者 WEI Hongyu 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2020年第4期293-300,共8页
A general framework of polar Brunn-Minkowski theory that unifies the Orlicz Brunn-Minkowski inequality, the Lp Brunn-Minkowski inequality for p ∈(0,1) and the logBrunn-Minkowski inequality all for polar bodies is pro... A general framework of polar Brunn-Minkowski theory that unifies the Orlicz Brunn-Minkowski inequality, the Lp Brunn-Minkowski inequality for p ∈(0,1) and the logBrunn-Minkowski inequality all for polar bodies is provided. It is shown that this general polar φ Brunn-Minkowski inequality is equivalent to a general polar φ Minkowski mixed volume inequality. 展开更多
关键词 polar body variational formula general Brunn-Minkowski theory Minkowski mixed volume inequality Brunn-Minkowski inequality
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