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An Inversion Evolutionary Algorithm on How to Convert FDP to TSP 被引量:1
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作者 Xu Jing wen, Zhang Jin bo, Li Yuan xiang State Key Laboratory of Software Engineering,Wuhan University, Wuhan 430072, China 《Wuhan University Journal of Natural Sciences》 CAS 2001年第Z1期589-592,共4页
The Film Copy Deliverer Problem (FDP),much more difficult than TSP,is a new problem in the combination optimization. In this paper,a new algorithm is introduced. First,the FDP is converted to TSP. Then an evolutionary... The Film Copy Deliverer Problem (FDP),much more difficult than TSP,is a new problem in the combination optimization. In this paper,a new algorithm is introduced. First,the FDP is converted to TSP. Then an evolutionary algorithm based on inversion operator is adopted. Compared with other Genetic Algorithms,it is not only more simple and easier to realize but also faster and more accurate. 展开更多
关键词 film copy deliverer problem (FDP) traveling salesman problem (TSP) evolutionary algorithm inversion operation
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Squeezed State Caused by Inverse of Photon Creation Operator
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作者 XU Xue-Fen 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第2期332-334,共3页
Using the photon creation operator's eigenstate theory we derive the normally ordered expansion of inverse of the squeezed creation operator. It turns out that using this operator a kind of excitation on the squeezed... Using the photon creation operator's eigenstate theory we derive the normally ordered expansion of inverse of the squeezed creation operator. It turns out that using this operator a kind of excitation on the squeezed vacuum states can be formed. 展开更多
关键词 inverse of creation operator squeezed state normal ordering
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On Invertibility of Some Functional Operators with Shift
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作者 Aleksandr Karelin Anna Tarasenko Manuel Gonzalez-Hernandez 《Applied Mathematics》 2022年第8期651-657,共7页
In this paper, we consider operators arising in the modeling of renewable systems with elements that can be in different states. These operators are functional operators with non-Carlemann shifts and they act in Holde... In this paper, we consider operators arising in the modeling of renewable systems with elements that can be in different states. These operators are functional operators with non-Carlemann shifts and they act in Holder spaces with weight. The main attention was paid to non-linear equations relating coefficients to operators with a shift. The solutions of these equations were used to reduce the operators under consideration to operators with shift, the invertibility conditions for which were found in previous articles of the authors. To construct the solution of the non-linear equation, we consider the coefficient factorization problem (the homogeneous equation with a zero right-hand side) and the jump problem (the non-homogeneous equation with a unit coefficient). The solution of the general equation is represented as a composition of the solutions to these two problems. 展开更多
关键词 operator with a Non-Carlemann Shift Inverse operator Non-Linear Equation Factorization of Coefficient Equation with Unit Coefficient
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Inverse Differential Operators in Time and Space
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作者 Edwin Eugene Klingman 《Journal of Applied Mathematics and Physics》 2023年第12期3789-3799,共11页
When one function is defined as a differential operation on another function, it’s often desirable to invert the definition, to effectively “undo” the differentiation. A Green’s function approach is often used to ... When one function is defined as a differential operation on another function, it’s often desirable to invert the definition, to effectively “undo” the differentiation. A Green’s function approach is often used to accomplish this, but variations on this theme exist, and we examine a few such variations. The mathematical analysis of  is sought in the form  if such an inverse operator exists, but physics is defined by both mathematical formula and ontological formalism, as I show for an example based on the Dirac equation. Finally, I contrast these “standard” approaches with a novel exact inverse operator for field equations. 展开更多
关键词 Matrix-Inverse Differential operators Green’s Functions Dirac’s Equation Wave Equations Inverse Curl operator
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INFLUENCE OF VIRTUAL PHOTON FIELD ON COLLAPSE AND REVIVAL PHENOMENON IN TWO PHOTON J C MODEL WITHOUT RWA
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作者 杨雁南 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1999年第1期86-92,共7页
The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations. Based on the evolution, the mean ... The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations. Based on the evolution, the mean value of the atom inversion operator 〈 S 3(t)〉 is gi ven. The influence of the “counter rotating term” on the collapse and revival phenomenon is discussed from the comparison between the cases with RWA and without RWA. It shows that the influence of the virtual photon field makes the quantum fluctuations appear on the collapse and revival phenomenon. 展开更多
关键词 PHOTONS quantum noise J C model rotating waves approximation collapse and revival phenomenon atom inversion operator
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Photon-added and photon-subtracted displaced Fock states and their non-classical properties 被引量:1
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作者 司坤 张淼 贾焕玉 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第11期4887-4892,共6页
A new kind of quantum optical state, photon-added and -subtracted displaced Fock states, is introduced by applying the inverse of bosonic creation and annihilation operators to displaced Fock states. The quantum stati... A new kind of quantum optical state, photon-added and -subtracted displaced Fock states, is introduced by applying the inverse of bosonic creation and annihilation operators to displaced Fock states. The quantum statistical properties of these states are investigated by numerical methods. Numerical results indicate that these states reveal some interesting non-classical properties, such as anti-bunching effects, sub-Poisson distributions and negativities of their Wigner functions. 展开更多
关键词 Boson inverse operators photon-added and -subtracted states non-classical property
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Knotted picture of the whole complete quantum measurement process of quantum teleportation
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作者 顾之雨 钱尚武 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第8期110-115,共6页
Based on the previous work about the knotted pictures of quantum states, quantum logic gates and unitary transformations, this paper further gives the whole complete quantum measurement process of quantum teleportatio... Based on the previous work about the knotted pictures of quantum states, quantum logic gates and unitary transformations, this paper further gives the whole complete quantum measurement process of quantum teleportation from the viewpoint of knot theory. 展开更多
关键词 Bell bases single particle quantum state knotted picture flip operation inversion operation composition operation
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Knotted Picture of Unknown Quantum State in Process of Quantum Teleportation
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作者 GU Zhi-Yu QIAN Shang-Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1163-1164,共2页
This paper gives the knotted picture of the unknown quantum state in the process of quantum teleportation and the surgical knotted operations of the unitary operators operated on the teleported quantum state.
关键词 Bell bases single particle quantum state knotted picture flip operation inversion operation
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Decomposition Formulas of Kampé de Fériets Double Hypergeometric Functions
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作者 Maged G.Bin-Saad Anvar Hasanov Mamasali Turaev 《Analysis in Theory and Applications》 CSCD 2018年第3期275-292,共18页
This paper is sequel to the authors paper [18]. By using the generalized Burchnall-Chaundy operator method, the authors are aiming at deriving certain decomposition formulas for some interesting special cases of Kampe... This paper is sequel to the authors paper [18]. By using the generalized Burchnall-Chaundy operator method, the authors are aiming at deriving certain decomposition formulas for some interesting special cases of Kampe de Feriets series of double hypergeometric series F;. 展开更多
关键词 Generalized hypergeometric function Kampéde Fériets functions decomposition formulas inverse pairs of symbolic operators
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Probe into Reverse Operation of Apoptosis Gene
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作者 Zhongliang Wang 《Journal of Advances in Medicine Science》 2021年第1期12-15,共4页
Objective:The programmed death process of cells according to gene coding belongs to apoptotic natural extinction(PCD).The purpose of this study is to explore the phenomenon of“returning to old age and rejuvenating ch... Objective:The programmed death process of cells according to gene coding belongs to apoptotic natural extinction(PCD).The purpose of this study is to explore the phenomenon of“returning to old age and rejuvenating children”in the extreme anoxia,no nutrients and survival in the extreme environment of fish and earthworm.Methods:the adult earthworms were put into the sealed quartz sand or fine yellow sand plastic bottle with humidity of 35-40%70 ml and poured out 100-150 d,then put back into the natural environment(simulated natural plastic basin)and raised 100-150 d,to collect the experimental information.The same object can be observed repeatedly.Results:The earthworms which were closed in the little oxygen-free and nutrition-deficient vials were reduced by autophagy,and the rings and reproductive pores disappeared completely.When they were put back into the natural environment for two or three months,they were all restored to their original morphological structure.Conclusion:Most of the same subjects underwent 1-3 years of cyclic observation.The biological structure was adapted to the changing environment.It was helped by the resonance of many biota and complex stress factors. 展开更多
关键词 The reversal of apoptotic gene Stress Inverse Operating Regulators Metabolic resonance between microbial communities in organisms
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Resistance Distance and Kirchhoff Index of a Class of Join Graphs
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作者 卢鹏丽 张腾 《Journal of Donghua University(English Edition)》 EI CAS 2016年第5期786-790,共5页
For some complicated graphs obtained by graph operations,it is very difficult to compute resistance distance and Kirchhoff index.Define a new graph operation,and obtain a class of new join graphs:the subdivision-verte... For some complicated graphs obtained by graph operations,it is very difficult to compute resistance distance and Kirchhoff index.Define a new graph operation,and obtain a class of new join graphs:the subdivision-vertex-vertex join G_1* G_2.Then,describe the Laplacian matrix of the graph G_1 * G_2 and use generalized inverse of the Laplacian matrix to get formulas for resistance distance and Kirchhoff index.Through the obtained formulas,the resistance distance of any pairs of vertices and Kirchhoff index of the join graph can be computed. 展开更多
关键词 Kirchhoff Laplacian vertex inverse compute operations Distance undirected connected formulas
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Sex Inversion Operations in China
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作者 WANG XUEFEI YOU ZIZHEN 《Women of China》 1994年第1期15-15,共1页
IN July 1992, Dr. Xia Zhaoji, 58, and his assistants surprised the world by successfully completing the world’s first operation to partially replant human internal reproductive organs. BBC broadcast this 8-minute new... IN July 1992, Dr. Xia Zhaoji, 58, and his assistants surprised the world by successfully completing the world’s first operation to partially replant human internal reproductive organs. BBC broadcast this 8-minute news story ten days later, followed by AP, Reuters and AFP, as well as some other domestic and international media. What is a sex inversion operation? Why should people change their sex? And how is 展开更多
关键词 Sex inversion Operations in China SRS
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EXPANSION OF STEP-TRANSITION OPERATOR OF MULTI-STEP METHOD AND ITS APPLICATIONS (Ⅱ)
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作者 Yi-fa Tang(State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China) 《Journal of Computational Mathematics》 SCIE CSCD 2002年第5期461-478,共18页
We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate... We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate operator of STO of any DS. 展开更多
关键词 Step-transition operator EXPANSION COMPOSITION Inverse operator Conjugate operator.
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Pareto optimal allocation of fault current limiter based on immune algorithm considering cost and mitigation effect 被引量:3
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作者 Baichao CHEN Liangliang WEI +3 位作者 Yuanzhe ZHU Yongheng ZHONG Jiaxin YUAN Yang LEI 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2017年第5期820-829,共10页
This paper presents a multi-objective Pareto optimal method for allocation of fault current limiters based on an immune algorithm, which takes into account two objectives of the cost and fault current mitigation effec... This paper presents a multi-objective Pareto optimal method for allocation of fault current limiters based on an immune algorithm, which takes into account two objectives of the cost and fault current mitigation effect. A sensitivity factor calculation method based on the rate of fault current mitigation is proposed to reduce the search space and improve the efficiency of the algorithm.In this approach, the objective functions related to the cost and fault current mitigation effect are established. A modified inversion operator based on equal cost is proposed to converge to global optimal solutions more effectively. The proposed algorithm is tested on the IEEE39-bus system, and obtains the Pareto optimal solutions,from which the user can select the most suitable solutions according to the preferences and relative importance of the objective functions. Simulation results are used to verify the proposed method. 展开更多
关键词 FCL optimal allocation Fault current mitigation effect Modified inversion operator Pareto optimal solutions Immune algorithm
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kth-order antibunching effect for a new kind of excited even and odd q-coherent states
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作者 江俊勤 《Chinese Physics C》 SCIE CAS CSCD 2010年第3期325-329,共5页
A new kind of excited even q-coherent states (aq^-1)^m|α〉q^e and excited odd q-coherent states (aq^-1)^m|α〉q^o is constructed by acting with inverse boson operators on the even and odd q-coherent states. ... A new kind of excited even q-coherent states (aq^-1)^m|α〉q^e and excited odd q-coherent states (aq^-1)^m|α〉q^o is constructed by acting with inverse boson operators on the even and odd q-coherent states. The m dependence of the kth-order antibunching effect is numerically studied for k = 2, 3, 4, 5. It is shown that the kth-order antibunching effect enhances as m increases. The larger k, the quicker the antibunching effect enhances. 展开更多
关键词 quantum algebra inverse boson operators even and odd q-coherent state kth-order antibunching effect
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The Improved Modified Decomposition Method for the Treatment of Systems of Singular Nonlinear Partial Differential Equations with Initial Conditions
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作者 DALIR Nemat NOURAZAR S. Salman 《Journal of Partial Differential Equations》 2014年第4期357-372,共16页
New developed inverse differential operators incorporated into the semi- analytical treatment of the modified decomposition method (MDM) are used to solve the systems of first and second-order singular nonlinear par... New developed inverse differential operators incorporated into the semi- analytical treatment of the modified decomposition method (MDM) are used to solve the systems of first and second-order singular nonlinear partial differential equations (PDEs) with initial conditions arising in physics. The new proposed method is called the improved modified decomposition method (IMDM), and is used to the treatment of a few case study initial-value problems. The results obtained by the IMDM are in full agreement with the existing exact analytical solutions. 展开更多
关键词 Systems of singular nonlinear PDEs initial conditions IMDM inverse operators.
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