In this study,we searched for dispersed repeats(DRs)in the rice(Oryza sativa)genome using the iterative procedure(IP)method.The results revealed that the O.sativa genome contained 79 DR families,comprising 992739 DNA ...In this study,we searched for dispersed repeats(DRs)in the rice(Oryza sativa)genome using the iterative procedure(IP)method.The results revealed that the O.sativa genome contained 79 DR families,comprising 992739 DNA repeats,of which 496762 and 495977 were identified on the forward and reverse DNA strands,respectively.The detected DRs were,on average,374 bp in length and occupied 66.4%of the O.sativa genome.Totally 61%of DRs,identified by the IP method,overlapped with previously annotated dispersed repeats(ADRs)detected using the Extensive De Novo TE Annotator(EDTA)pipeline.展开更多
It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper pro...It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence.展开更多
The concept of controllable mapping,which is a kind of Lipschitzian mapping,is induced.In certain case,any controllable mapping,on a closed convex subset of Banach space,has at least onefixed point,and its Mann iterat...The concept of controllable mapping,which is a kind of Lipschitzian mapping,is induced.In certain case,any controllable mapping,on a closed convex subset of Banach space,has at least onefixed point,and its Mann iterative sequence converges strongly to the fixed point.Moreover,theestimation between the iterative sequence and the fixed point is,in sulface,as the same as in Banachcontractive mapping.展开更多
The general results on convergence of the Ishikawa iteration procedures with errors for Lipschitzian φ strong pseudo contractions and nonlinear operator equations of φ strongly accretive type is established in arbit...The general results on convergence of the Ishikawa iteration procedures with errors for Lipschitzian φ strong pseudo contractions and nonlinear operator equations of φ strongly accretive type is established in arbitrary Banach spaces. As the direct applications, some stability results of the Ishikawa iteration methods for φ strong pseudo contractions and nonlinear operator equations of φ strongly accretive type are also given. Our results in this paper improve and extend the recent results due to Osilike and other authors.展开更多
<正>Let 1＜ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the ...<正>Let 1＜ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the equation Tx=f by the Ishikawa iteration procedure with errors (?) where x_0 ∈ E,{u_n},{υ_n}are bounded sequences in E and{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'} are real sequences in[0,1].Under the assumption of the condition 0＜α≤b_n+c_n,An≥0, it is shown that the iterative sequence{x_n}converges strongly to the unique solution of the equation Tx=f.Furthermore,under no assumption of the condition(?)(b_n~'+c_n~')=0,it is also shown that{x_n}converges strongly to the unique solution of Tx=f.展开更多
Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in th...Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in this paper provides a convergence rate estimate. Moreover the resultin this paper improves,generalizes and summarizes some important and el- egant recent results展开更多
In this paper,we present local functional law of the iterated logarithm for Cs?rg?-Révész type increments of fractional Brownian motion.The results obtained extend works of Gantert[Ann.Probab.,1993,21(2):104...In this paper,we present local functional law of the iterated logarithm for Cs?rg?-Révész type increments of fractional Brownian motion.The results obtained extend works of Gantert[Ann.Probab.,1993,21(2):1045-1049]and Monrad and Rootzén[Probab.Theory Related Fields,1995,101(2):173-192].展开更多
In this paper,we obtain the quasi sure local Chung’s functional law of the iterated logarithm for increments of a Brownian motion.As an application,a quasi sure Chung’s type functional modulus of continuity for a Br...In this paper,we obtain the quasi sure local Chung’s functional law of the iterated logarithm for increments of a Brownian motion.As an application,a quasi sure Chung’s type functional modulus of continuity for a Brownian motion is also derived.展开更多
This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of boundary and Neumann con...This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of boundary and Neumann condition on the another part of boundary). For the pure Dirichlet problem, Marini and Quarteroni [3], [4] considered a similar approach, which is extended to more complex problem in this paper.展开更多
Let be a stable subordinator defined on a probability space and let at for t>0?be a non-negative valued function. In this paper, it is shown that under varying conditions on at, there exists a function such that wh...Let be a stable subordinator defined on a probability space and let at for t>0?be a non-negative valued function. In this paper, it is shown that under varying conditions on at, there exists a function such that where , , and .展开更多
针对传统温度控制系统在实时性、精度和噪声处理方面存在的局限性,提出采用开源实时操作系统(Free Real Time Operating System,FreeRTOS)对任务调度优化的设计方案。通过引入增量比例积分微分控制(Proportional-Integral-Derivative Co...针对传统温度控制系统在实时性、精度和噪声处理方面存在的局限性,提出采用开源实时操作系统(Free Real Time Operating System,FreeRTOS)对任务调度优化的设计方案。通过引入增量比例积分微分控制(Proportional-Integral-Derivative Control,PID)算法、滑动均值滤波器和牛顿-拉夫逊法,提升采集温度的准确性和系统的响应速度,提高温度控制的精确度和实时响应能力,以满足相关行业对温度条件的严格需求。通过优化任务调度、控制算法和数据处理方法,本系统有效降低了温度波动和控制误差,且采集到的温度精度高达±0.005,有效提高了系统的实时性,温度稳定时间提升超过300%,适用于需要高精度和快速响应的现代无人机温度控制应用场景。展开更多
With the help of large deviation of Brownian motion in the Hölder norm,local Strassen’s law of the iterated logarithm for increments of a Brownian motion in the Hölder norm is investigated.This paper promot...With the help of large deviation of Brownian motion in the Hölder norm,local Strassen’s law of the iterated logarithm for increments of a Brownian motion in the Hölder norm is investigated.This paper promotes the corresponding results by Gantert and Wei.展开更多
不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,...不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,可以提高迭代算法的执行效率.但由于数据的快速变化,每当数据发生改变,整个迭代算法也需要重新运行,这将会导致大量的运算资源浪费和性能损失.文中研究基于原始迭代结果和新增数据的增量迭代计算DELTA(Delta data based incrEmentaL iTerAtive computing),并提出DELTA模型以解决上述问题.文中理论证明了DELTA模型的正确性,阐述了其适用范围,并列举了PageRank、K-means和Descendant Query算法在DELTA模型中的运用.文中还扩展HaLoop为ΔHaLoop框架,使其支持增量式的迭代计算.通过一系列的测试用例,对DELTA模型功能、性能进行了分析和讨论,实验结果表明DELTA模型在获得准确的迭代结果的基础上性能优势明显.文中提出的DELTA模型能够适应多数迭代算法,对云计算环境下的迭代计算的应用和优化起到推动作用.展开更多
基金supported by the Russian Science Foundation,Russia(Grant No.24-24-00031).
文摘In this study,we searched for dispersed repeats(DRs)in the rice(Oryza sativa)genome using the iterative procedure(IP)method.The results revealed that the O.sativa genome contained 79 DR families,comprising 992739 DNA repeats,of which 496762 and 495977 were identified on the forward and reverse DNA strands,respectively.The detected DRs were,on average,374 bp in length and occupied 66.4%of the O.sativa genome.Totally 61%of DRs,identified by the IP method,overlapped with previously annotated dispersed repeats(ADRs)detected using the Extensive De Novo TE Annotator(EDTA)pipeline.
基金Supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Ed-ucation Institutions of MOE,P.R.C.
文摘It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence.
文摘The concept of controllable mapping,which is a kind of Lipschitzian mapping,is induced.In certain case,any controllable mapping,on a closed convex subset of Banach space,has at least onefixed point,and its Mann iterative sequence converges strongly to the fixed point.Moreover,theestimation between the iterative sequence and the fixed point is,in sulface,as the same as in Banachcontractive mapping.
基金the National Natural Science Foundation of China ( Grant No.1 9971 0 1 3)
文摘The general results on convergence of the Ishikawa iteration procedures with errors for Lipschitzian φ strong pseudo contractions and nonlinear operator equations of φ strongly accretive type is established in arbitrary Banach spaces. As the direct applications, some stability results of the Ishikawa iteration methods for φ strong pseudo contractions and nonlinear operator equations of φ strongly accretive type are also given. Our results in this paper improve and extend the recent results due to Osilike and other authors.
基金This work was supported partially by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions by Ministry of Educationthe Department Fund of Science and Technology in Shanghai Higher Education Institutionsthe Special Funds for Major Specialities by the Shanghai Education Committee.
文摘<正>Let 1＜ρ≤2,E be a real ρ-uniformly smooth Banach space and T:E→E be a continuous and strongly accretive operator.The purpose of this paper is to investigate the problem of approximating solutions to the equation Tx=f by the Ishikawa iteration procedure with errors (?) where x_0 ∈ E,{u_n},{υ_n}are bounded sequences in E and{α_n},{b_n},{c_n},{a_n~'},{b_n~'},{c_n~'} are real sequences in[0,1].Under the assumption of the condition 0＜α≤b_n+c_n,An≥0, it is shown that the iterative sequence{x_n}converges strongly to the unique solution of the equation Tx=f.Furthermore,under no assumption of the condition(?)(b_n~'+c_n~')=0,it is also shown that{x_n}converges strongly to the unique solution of Tx=f.
基金This project was supported both by the National Natural Science Foundation of China (1 980 1 0 2 3 ) andby the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institu-tions of MOEP.R.C.
文摘Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in this paper provides a convergence rate estimate. Moreover the resultin this paper improves,generalizes and summarizes some important and el- egant recent results
基金Supported by NSFC(Nos.11661025,12161024)Natural Science Foundation of Guangxi(Nos.2020GXNSFAA159118,2021GXNSFAA196045)+2 种基金Guangxi Science and Technology Project(No.Guike AD20297006)Training Program for 1000 Young and Middle-aged Cadre Teachers in Universities of GuangxiNational College Student's Innovation and Entrepreneurship Training Program(No.202110595049)。
文摘In this paper,we present local functional law of the iterated logarithm for Cs?rg?-Révész type increments of fractional Brownian motion.The results obtained extend works of Gantert[Ann.Probab.,1993,21(2):1045-1049]and Monrad and Rootzén[Probab.Theory Related Fields,1995,101(2):173-192].
基金Supported by National Natural Science Foundation of China(11661025)Science Research Foundation of Guangxi Education Department(YB2014117)+1 种基金Guangxi Natural Science Foundation(2018GXNSFBA281076,2017GXNSFBA198179)Guangxi Programme for Promoting Young Teachers’s Ability(2018KY0214).
文摘In this paper,we obtain the quasi sure local Chung’s functional law of the iterated logarithm for increments of a Brownian motion.As an application,a quasi sure Chung’s type functional modulus of continuity for a Brownian motion is also derived.
文摘This paper is devoted to study of an iterative procedure for domain decomposition method of second order elliptic problem with mixed boundary conditions (i.e., Dirichlet condition on a part of boundary and Neumann condition on the another part of boundary). For the pure Dirichlet problem, Marini and Quarteroni [3], [4] considered a similar approach, which is extended to more complex problem in this paper.
文摘Let be a stable subordinator defined on a probability space and let at for t>0?be a non-negative valued function. In this paper, it is shown that under varying conditions on at, there exists a function such that where , , and .
文摘针对传统温度控制系统在实时性、精度和噪声处理方面存在的局限性,提出采用开源实时操作系统(Free Real Time Operating System,FreeRTOS)对任务调度优化的设计方案。通过引入增量比例积分微分控制(Proportional-Integral-Derivative Control,PID)算法、滑动均值滤波器和牛顿-拉夫逊法,提升采集温度的准确性和系统的响应速度,提高温度控制的精确度和实时响应能力,以满足相关行业对温度条件的严格需求。通过优化任务调度、控制算法和数据处理方法,本系统有效降低了温度波动和控制误差,且采集到的温度精度高达±0.005,有效提高了系统的实时性,温度稳定时间提升超过300%,适用于需要高精度和快速响应的现代无人机温度控制应用场景。
文摘With the help of large deviation of Brownian motion in the Hölder norm,local Strassen’s law of the iterated logarithm for increments of a Brownian motion in the Hölder norm is investigated.This paper promotes the corresponding results by Gantert and Wei.
文摘不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,可以提高迭代算法的执行效率.但由于数据的快速变化,每当数据发生改变,整个迭代算法也需要重新运行,这将会导致大量的运算资源浪费和性能损失.文中研究基于原始迭代结果和新增数据的增量迭代计算DELTA(Delta data based incrEmentaL iTerAtive computing),并提出DELTA模型以解决上述问题.文中理论证明了DELTA模型的正确性,阐述了其适用范围,并列举了PageRank、K-means和Descendant Query算法在DELTA模型中的运用.文中还扩展HaLoop为ΔHaLoop框架,使其支持增量式的迭代计算.通过一系列的测试用例,对DELTA模型功能、性能进行了分析和讨论,实验结果表明DELTA模型在获得准确的迭代结果的基础上性能优势明显.文中提出的DELTA模型能够适应多数迭代算法,对云计算环境下的迭代计算的应用和优化起到推动作用.
