In order to solve the problem that the krill herd(KH)algorithm is premature due to the decrease of population diversity,a new hybrid vortex search KH(VSKH)algorithm has been developed to deal with the global optimizat...In order to solve the problem that the krill herd(KH)algorithm is premature due to the decrease of population diversity,a new hybrid vortex search KH(VSKH)algorithm has been developed to deal with the global optimization problem.The improvement is that a new hybrid vortex search(HVS)operator is added into the updating process of the krill for the purpose of dealing with optimization problems more efficiently.Using 20 benchmark functions for comparison experiments,the results show that the VSKH algorithm has higher accuracy.展开更多
The author considers the global existence and global nonexistence of the initial-boundary value problem for some degenerate hyperbolic equation of the form utt- div（｜△↓｜^P-2 △↓u）=｜u｜^m u, （x,t）∈[0, ＋∞）...The author considers the global existence and global nonexistence of the initial-boundary value problem for some degenerate hyperbolic equation of the form utt- div（｜△↓｜^P-2 △↓u）=｜u｜^m u, （x,t）∈[0, ＋∞） ×Ω with p 〉 2 and m 〉 0. He deals with the global solutions by D.H.Sattinger＇s potential well ideas. At the same time, when the initial energy is positive, but appropriately bounded, the global nonexistence of solutions is verified by using the analysis method.展开更多
In this work,a hybrid meta-model based design space differentiation（HMDSD）method is proposed for practical problems.In the proposed method,an iteratively reduced promising region is constructed using the expensive p...In this work,a hybrid meta-model based design space differentiation（HMDSD）method is proposed for practical problems.In the proposed method,an iteratively reduced promising region is constructed using the expensive points,with two different search strategies respectively applied inside and outside the promising region.Besides,the hybrid meta-model strategy applied in the search process makes it possible to solve the complex practical problems.Tested upon a serial of benchmark math functions,the HMDSD method shows great efficiency and search accuracy.On top of that,a practical lightweight design demonstrates its superior performance.展开更多
In this paper, we extend the result in [16] to general p(v). We prove that, under condition (M), when P greater-than-or-equal-to 3/2, where P=pp triple overdot/p2, there exists a unique global continuous solution to t...In this paper, we extend the result in [16] to general p(v). We prove that, under condition (M), when P greater-than-or-equal-to 3/2, where P=pp triple overdot/p2, there exists a unique global continuous solution to the Riemann problem (E), (R), whose structure is similar to the local solution. When 1 < P* less-than-or-equal-to P* < 5/4, or P* = P* = 5/4, or 5 < P* less-than-or-equal-to P* < 3/2 where P*-inf/v P and P* = sup/v P for all v under consideration, if at least one of the initial centered rarefaction waves is sufficiently strong, then the solution must be breakdown in a finite time.展开更多
In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We ...In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We also describe the loss of smoothness of classical solutions for the Navier-Stokes equations.展开更多
In this paper, we construct two models for the searching task for a lost plane. Model 1 determines the searching area. We predict the trajectory of floats generated after the disintegration of the plane by using RBF n...In this paper, we construct two models for the searching task for a lost plane. Model 1 determines the searching area. We predict the trajectory of floats generated after the disintegration of the plane by using RBF neural network model, and then determine the searching area according to the trajectory. With the pass of time, the searching area will also be constantly moving along the trajectory. Model 2 develops a maritime search plan to achieve the purpose of completing the search in the shortest time. We optimize the searching time and transform the problem into the 0-1 knapsack problem. Solving this problem by improved genetic algorithm, we can get the shortest searching time and the best choice for the search power.展开更多
The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Nav...The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.展开更多
Solar energy, as a renewable resource, is an effective solution to the current global energy shortage problem. To actively respond to the call for "carbon peak" and "carbon neutrality", solar cell ...Solar energy, as a renewable resource, is an effective solution to the current global energy shortage problem. To actively respond to the call for "carbon peak" and "carbon neutrality", solar cell industry has experienced unprecedented development. The full utilization of solar energy resources remains an urgent issue to be addressed.展开更多
1.Introduction Liver cancer is the sixth leading cause of cancer and the third leading cause of cancer-related deaths globally(GLOBOCAN).Hepatocellular carcinoma(HCC)represents about 90%of primary liver cancers and co...1.Introduction Liver cancer is the sixth leading cause of cancer and the third leading cause of cancer-related deaths globally(GLOBOCAN).Hepatocellular carcinoma(HCC)represents about 90%of primary liver cancers and constitutes a major global health problem.^([1])The number of new cases in China accounted for 46.6%of the global liver cancer cases,and 47.1%of the global liver cancer deaths occurred in China.^([2])展开更多
Particle swarm optimization(PSO)is a type of swarm intelligence algorithm that is frequently used to resolve specific global optimization problems due to its rapid convergence and ease of operation.However,PSO still h...Particle swarm optimization(PSO)is a type of swarm intelligence algorithm that is frequently used to resolve specific global optimization problems due to its rapid convergence and ease of operation.However,PSO still has certain deficiencies,such as a poor trade-off between exploration and exploitation and premature convergence.Hence,this paper proposes a dual-stage hybrid learning particle swarm optimization(DHLPSO).In the algorithm,the iterative process is partitioned into two stages.The learning strategy used at each stage emphasizes exploration and exploitation,respectively.In the first stage,to increase population variety,a Manhattan distance based learning strategy is proposed.In this strategy,each particle chooses the furthest Manhattan distance particle and a better particle for learning.In the second stage,an excellent example learning strategy is adopted to perform local optimization operations on the population,in which each particle learns from the global optimal particle and a better particle.Utilizing the Gaussian mutation strategy,the algorithm’s searchability in particular multimodal functions is significantly enhanced.On benchmark functions from CEC 2013,DHLPSO is evaluated alongside other PSO variants already in existence.The comparison results clearly demonstrate that,compared to other cutting-edge PSO variations,DHLPSO implements highly competitive performance in handling global optimization problems.展开更多
The paper introduces the characteristics of a new type washing machine (mini washing machine) and analyzes the global problems solved by mini washing machines from the perspective of meeting different consumers'ne...The paper introduces the characteristics of a new type washing machine (mini washing machine) and analyzes the global problems solved by mini washing machines from the perspective of meeting different consumers'needs. On the basis of current performance specifications of IEC 60456, it explains how to improve the performance test method of mini washing machine in details, and points out the direction of standards research and test improvement. Meanwhile, the author briefs about other new type washing machines and the developmental trend of washing machines.展开更多
In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value p...In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value problem of Cahn-Hilliard equations. The estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are also obtained.展开更多
Dear Editors,We read with interest the article published in your journal by Huang et al.,1 entitled Global Trends and Cross-country Inequalities of Acute Hepatitis E in the Elderly,1990–2021:A Comprehensive Analysis....Dear Editors,We read with interest the article published in your journal by Huang et al.,1 entitled Global Trends and Cross-country Inequalities of Acute Hepatitis E in the Elderly,1990–2021:A Comprehensive Analysis.We found the age-adjusted incidence rates per 100,000 population of acute hepatitis E virus(HEV),presented for countries according to the socio-demographic index(SDI),very interesting,and we would like to make a comparison with the European Union(EU),as this is the region in which we live.In the Global Burden of Disease(GBD)study,2 there is variation in SDI within the EU itself,with countries mainly falling into the high and medium-high SDI groups.Specifically,we analyzed the country with the highest GDP per capita—Luxembourg(€126,910),Spain,which is our country of origin and ranks 16th in the EU with a GDP per capita of€32,590(placing it in the middle of the list and below the EU average),and the country with the lowest GDP per capita—Bulgaria(€16,110).展开更多
Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent...Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an equivalent' special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient. (Author abstract) 11 Refs.展开更多
The Euclidean single facility location problem (ESFL) and the Euclidean multiplicity lo-cation problem (EMFL) are two special nonsmooth convex programming problems which haveattracted a largr literature. For the ESFL ...The Euclidean single facility location problem (ESFL) and the Euclidean multiplicity lo-cation problem (EMFL) are two special nonsmooth convex programming problems which haveattracted a largr literature. For the ESFL problem. there are algorithms which converge bothglobally and quadratically For the EMFL problem, there are some quadratically convergentalgorithms. but for global convergencel they all need nontrivial assumptions on the problem.In this paper, we present an algorithm for EMFL. With no assumption on the problem, it isproved that from any initial point, this algorithm generates a sequence of points which convergesto the closed convex set of optimal solutions of EMFL.展开更多
Soil erosion bywater is a global environmental problemthat can directly lead to the loss of soil resources,the decline of quality of cultivated land,non-point source water pollution and the aggravation of natural disa...Soil erosion bywater is a global environmental problemthat can directly lead to the loss of soil resources,the decline of quality of cultivated land,non-point source water pollution and the aggravation of natural disasters.It has a profound impact on global agricultural production and food security,climate change,sustainable ecosystem development and even the continuation of human civilization(Lal,2003;Pravalie et al.,2024).展开更多
Dear Editor,Chronic hepatitis B virus(HBV)is a global health problem closely associated with a spectrum of liver diseases.Current clinical treatment options for HBV infection are generally not curative,highlighting th...Dear Editor,Chronic hepatitis B virus(HBV)is a global health problem closely associated with a spectrum of liver diseases.Current clinical treatment options for HBV infection are generally not curative,highlighting the need for the development of novel therapeutics.Sodium taurocholate cotransporting polypeptide(NTCP)was identified as a functional receptor for HBV entry,making it a promising therapeutic target for developing novel anti-HBV agents.展开更多
基金Supported by the National Natural Science Foundation of China(11871383,71471140)。
文摘In order to solve the problem that the krill herd(KH)algorithm is premature due to the decrease of population diversity,a new hybrid vortex search KH(VSKH)algorithm has been developed to deal with the global optimization problem.The improvement is that a new hybrid vortex search(HVS)operator is added into the updating process of the krill for the purpose of dealing with optimization problems more efficiently.Using 20 benchmark functions for comparison experiments,the results show that the VSKH algorithm has higher accuracy.
文摘The author considers the global existence and global nonexistence of the initial-boundary value problem for some degenerate hyperbolic equation of the form utt- div（｜△↓｜^P-2 △↓u）=｜u｜^m u, （x,t）∈[0, ＋∞） ×Ω with p 〉 2 and m 〉 0. He deals with the global solutions by D.H.Sattinger＇s potential well ideas. At the same time, when the initial energy is positive, but appropriately bounded, the global nonexistence of solutions is verified by using the analysis method.
基金Project supported by the Plan for the growth of young teachers,the National Natural Science Foundation of China(No.51505138)the National 973 Program of China(No.2010CB328005)+1 种基金Outstanding Youth Foundation of NSFC(No.50625519)Program for Changjiang Scholars
文摘In this work,a hybrid meta-model based design space differentiation（HMDSD）method is proposed for practical problems.In the proposed method,an iteratively reduced promising region is constructed using the expensive points,with two different search strategies respectively applied inside and outside the promising region.Besides,the hybrid meta-model strategy applied in the search process makes it possible to solve the complex practical problems.Tested upon a serial of benchmark math functions,the HMDSD method shows great efficiency and search accuracy.On top of that,a practical lightweight design demonstrates its superior performance.
基金This work is supported in part by National Natural Science Foundation.
文摘In this paper, we extend the result in [16] to general p(v). We prove that, under condition (M), when P greater-than-or-equal-to 3/2, where P=pp triple overdot/p2, there exists a unique global continuous solution to the Riemann problem (E), (R), whose structure is similar to the local solution. When 1 < P* less-than-or-equal-to P* < 5/4, or P* = P* = 5/4, or 5 < P* less-than-or-equal-to P* < 3/2 where P*-inf/v P and P* = sup/v P for all v under consideration, if at least one of the initial centered rarefaction waves is sufficiently strong, then the solution must be breakdown in a finite time.
基金the Ministry of Education and Science of the Republic of Kazakhstan for a grant
文摘In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We also describe the loss of smoothness of classical solutions for the Navier-Stokes equations.
文摘In this paper, we construct two models for the searching task for a lost plane. Model 1 determines the searching area. We predict the trajectory of floats generated after the disintegration of the plane by using RBF neural network model, and then determine the searching area according to the trajectory. With the pass of time, the searching area will also be constantly moving along the trajectory. Model 2 develops a maritime search plan to achieve the purpose of completing the search in the shortest time. We optimize the searching time and transform the problem into the 0-1 knapsack problem. Solving this problem by improved genetic algorithm, we can get the shortest searching time and the best choice for the search power.
基金the Ministry of Education and Science of the Republic of Kazakhstan for a grant
文摘The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.
文摘Solar energy, as a renewable resource, is an effective solution to the current global energy shortage problem. To actively respond to the call for "carbon peak" and "carbon neutrality", solar cell industry has experienced unprecedented development. The full utilization of solar energy resources remains an urgent issue to be addressed.
基金Supported by a grant from the Talent Exchange Service Center of National Health Commission(RCLX2315049)。
文摘1.Introduction Liver cancer is the sixth leading cause of cancer and the third leading cause of cancer-related deaths globally(GLOBOCAN).Hepatocellular carcinoma(HCC)represents about 90%of primary liver cancers and constitutes a major global health problem.^([1])The number of new cases in China accounted for 46.6%of the global liver cancer cases,and 47.1%of the global liver cancer deaths occurred in China.^([2])
基金the National Natural Science Foundation of China(Nos.62066019 and 61903089)the Natural Science Foundation of Jiangxi Province(Nos.20202BABL202020 and 20202BAB202014)the Graduate Innovation Foundation of Jiangxi University of Science and Technology(Nos.XY2021-S092 and YC2022-S641).
文摘Particle swarm optimization(PSO)is a type of swarm intelligence algorithm that is frequently used to resolve specific global optimization problems due to its rapid convergence and ease of operation.However,PSO still has certain deficiencies,such as a poor trade-off between exploration and exploitation and premature convergence.Hence,this paper proposes a dual-stage hybrid learning particle swarm optimization(DHLPSO).In the algorithm,the iterative process is partitioned into two stages.The learning strategy used at each stage emphasizes exploration and exploitation,respectively.In the first stage,to increase population variety,a Manhattan distance based learning strategy is proposed.In this strategy,each particle chooses the furthest Manhattan distance particle and a better particle for learning.In the second stage,an excellent example learning strategy is adopted to perform local optimization operations on the population,in which each particle learns from the global optimal particle and a better particle.Utilizing the Gaussian mutation strategy,the algorithm’s searchability in particular multimodal functions is significantly enhanced.On benchmark functions from CEC 2013,DHLPSO is evaluated alongside other PSO variants already in existence.The comparison results clearly demonstrate that,compared to other cutting-edge PSO variations,DHLPSO implements highly competitive performance in handling global optimization problems.
文摘The paper introduces the characteristics of a new type washing machine (mini washing machine) and analyzes the global problems solved by mini washing machines from the perspective of meeting different consumers'needs. On the basis of current performance specifications of IEC 60456, it explains how to improve the performance test method of mini washing machine in details, and points out the direction of standards research and test improvement. Meanwhile, the author briefs about other new type washing machines and the developmental trend of washing machines.
文摘In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value problem of Cahn-Hilliard equations. The estimates of the upper bounds of Hausdorff and fractal dimensions for the global attractors are also obtained.
文摘Dear Editors,We read with interest the article published in your journal by Huang et al.,1 entitled Global Trends and Cross-country Inequalities of Acute Hepatitis E in the Elderly,1990–2021:A Comprehensive Analysis.We found the age-adjusted incidence rates per 100,000 population of acute hepatitis E virus(HEV),presented for countries according to the socio-demographic index(SDI),very interesting,and we would like to make a comparison with the European Union(EU),as this is the region in which we live.In the Global Burden of Disease(GBD)study,2 there is variation in SDI within the EU itself,with countries mainly falling into the high and medium-high SDI groups.Specifically,we analyzed the country with the highest GDP per capita—Luxembourg(€126,910),Spain,which is our country of origin and ranks 16th in the EU with a GDP per capita of€32,590(placing it in the middle of the list and below the EU average),and the country with the lowest GDP per capita—Bulgaria(€16,110).
文摘Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an equivalent' special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient. (Author abstract) 11 Refs.
基金This research is supported in part by the Air Force Office of Scientific Research Grant AFOSR-87-0127, the National Science Foundation Grant DCR-8420935 and University of Minnesota Graduate School Doctoral Dissertation Fellowship awarded to G.L. Xue
文摘The Euclidean single facility location problem (ESFL) and the Euclidean multiplicity lo-cation problem (EMFL) are two special nonsmooth convex programming problems which haveattracted a largr literature. For the ESFL problem. there are algorithms which converge bothglobally and quadratically For the EMFL problem, there are some quadratically convergentalgorithms. but for global convergencel they all need nontrivial assumptions on the problem.In this paper, we present an algorithm for EMFL. With no assumption on the problem, it isproved that from any initial point, this algorithm generates a sequence of points which convergesto the closed convex set of optimal solutions of EMFL.
基金supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(XDA0440202)Natural Science Foundation of Jiangsu Province,China(BK20220163)+1 种基金the Jiangxi Province Natural Science Foundation(20224BAB203031)the Youth Innovation Promotion Association of the Chinese Academy of Sciences(2023327).
文摘Soil erosion bywater is a global environmental problemthat can directly lead to the loss of soil resources,the decline of quality of cultivated land,non-point source water pollution and the aggravation of natural disasters.It has a profound impact on global agricultural production and food security,climate change,sustainable ecosystem development and even the continuation of human civilization(Lal,2003;Pravalie et al.,2024).
基金supported by the National Key R&D Program of China(2022YFA1303600)National Natural Science Foundation of China[No.22137002 to Y.D.,No.92353303,22277010 and 22477013 to Z.G.,No.U23A20472 and 82273423 to J.C.,No.82302507 to H.Y.]+5 种基金Ministry of Human Resources and Social Security Funding Scheme for High-Level Overseas Chinese Students’Return of China[to Z.G.]China Postdoctoral Science Foundation[No.2021T140784 and 2020M683638XB to J.H.]Natural Science Foundation of Chongqing[No.CSTB2022NSCQ-MSX1061 to Z.G.]Chongqing Postdoctoral Science Foundation[No.CSTB2022NSCQ-BHX0616 to J.H.]CQMU Program for Youth Innovation in Future Medicine[No.W0074 to Z.G.]Joint Project of Pinnacle Disciplinary Group of the Second Affiliated Hospital of Chongqing Medical University.
文摘Dear Editor,Chronic hepatitis B virus(HBV)is a global health problem closely associated with a spectrum of liver diseases.Current clinical treatment options for HBV infection are generally not curative,highlighting the need for the development of novel therapeutics.Sodium taurocholate cotransporting polypeptide(NTCP)was identified as a functional receptor for HBV entry,making it a promising therapeutic target for developing novel anti-HBV agents.
