• 本文讨论了一维空间中的非凸复盖问题。

    In this paper, a nonconvex covering problem in one dimension is dis-cussed.

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  • 该模型中的资源分配问题是一个非凸的非线性优化问题。

    The problem of resource allocation in this scheme is a non-convex non-linear optimization problem.

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  • 最后研究了广义集值变分包含问题与非凸规划之间的关系。

    Finally, the relationships between generalized set-valued variational inclusion problems and non-convex programming are studied.

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  • 利用组合极大熵同伦方法,研究一般的非凸非线性规划问题。

    We utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems.

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  • 利用组合极大熵同伦方法,研究一般的非凸非线性规划问题。

    In this paper, we present a new interior point method-combined homotopy interior point method.

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  • 本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。

    The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.

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  • 计算结果表明该文提出的约束复合形法在非凸可行域上的修正算法是可行的。

    The computation results show that the method of modifier algorithm of constrained complex method in concave feasible fields, proposed in this paper, is effective.

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  • 本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。

    This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and constant boundary data.

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  • 本文研究具有两段常数的初始值和常数边界值的非凸单个守恒律的初边值问题。

    Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions;

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  • 基于混沌神经网络模型可以有效地解决高维、离散、非凸的非线性约束优化问题。

    The Chaotic neural network model can be used to solve many multi-dimensioned, discrete, non-convex, nonlinear constrained optimization problems.

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  • 在求解非凸规划的分枝定界法中,剖分区间的选取直接影响到整个算法的收敛速度。

    In the branch and bound method for solving non-convex programming, the choice of region subdivision directly affects the convergence of the whole algorithm.

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  • 文中对CHIP方法进行了改进并利用改进的方法去求解更大一类的非凸规划问题。

    In this paper, they modify the CHIP method and use the modified one to solve a broader class of non-convex programming problems.

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  • 针对非凸规划,本文引进一简单的惩罚函数将其局部凸化,然后用凸规划的方法求解。

    To the nonconvex programming, the article makes it local convexification by introducing a simple penalty function into the objective function, and solves it like solving convex programming.

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  • 本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法,并在弱法锥见定义2。

    In this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set, and prove the convergence under the weak normal cone condition see Definition 2.

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  • 科学领域,工程领域和经济领域都涉及到很多复杂的、非线性的甚至非凸形式的最优化问题。

    Many scientific, engineering and economic areas involve the optimization of complex, nonlinear and possibly non-convex problems.

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  • 该算法通过闭合运算,将空间对象聚成类,一次完成三维空间聚类,可以快速处理非凸的、复杂的聚类形状。

    This algorithm could not only complete 3d spatial clustering at a time, and process clustering in-convex and complicated objects rapidly.

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  • 给出了任意图形的多边形逼近、非凸图形的凸组合、利用NFP做碰撞检测和扫描线搜索图形间缝隙等方法。

    The paper gives out a method to combine non-convex figures into a convex one, a method to get bumping region by using NFP, and a scanning-line method to search the gaps among adjacent figures;

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  • 实例计算结果表明列队竞争算法是求解非凸非线性规划问题和混合整数非线性规划问题的一种非常有效的算法。

    Computational results indicate that LCA is a very effective algorithm to solve nonlinear programming problems and mixed-integer nonlinear programming problems.

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  • 针对问题的非凸性,提出了基于拉格朗日对偶方法的最优子信道、速率和功率分配算法,并从经济学的角度予以解释。

    We formulated this optimization problem and solved it using the Lagrangian dual method and interpreted it from the angle of economics.

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  • 针对电力系统中水火电短期优化调度,这一典型的高维、非凸、非线性优化问题,本文提出一种改进的微分进化算法。

    The model based on energy-saving emission reduction and environmental protection, will provided new ideas for optimal scheduling of short-term study of water and thermal power system.

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  • 植物非光滑叶表形态中凸包处硬度较凹坑处的硬度大;

    The hardness of convex hull is higher than that of pit portion on the sculptured leaf surfaces.

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  • 提出了求解一类带一般凸约束的复合非光滑优化的信赖域算法。

    In this paper, we propose a new trust region algorithm for solving a class of composite nonsmooth optimization subject to convex constraints.

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  • 该方法还可以应用到非均匀媒质任意凸曲面的爬行射线寻迹。

    The method can be applied to trace the ray path on arbitrary convex surface with inhomogeneous media.

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  • 实验采用凸平直线非稳腔,将凸面镜和增益介质热透镜效应等效为望远镜系统进行分析。

    In the experiment we used convex-plane unstable resonator, and analysis the convex mirrors and gain medium thermal lens as a telescope system.

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  • 首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念。

    First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FCuniform spaces without convexity structure.

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  • 基于解非线形规划的凸单纯形法,对一类线形分式规划的消耗系数矩阵进行灵敏度分析。

    Based on the convex simplex method for nonlinear programming, a sensitivity analysis of consumption coefficient matrix in linear fractional programming is presented.

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  • 对束方法的研究涉及凸分析,线性和非线性规划,非光滑分析等数学分支。

    Researches on bundle methods touch upon such mathematical branches as convex analysis, nonlinear programming and nonsmooth analysis.

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  • 在第二章中,我们运用一个连续选择定理证明了L -凸空间中的一个非空交定理。作为应用,我们得到了一些极大极小不等式。

    In chapter two, we prove a nonempty intersection theorem in L-convex space by using a continuous selection theorem. As applications, some minimax inequalities are obtained.

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  • 从而解决了任一凸形状的非圆齿轮的设计,减少了工程测绘带来的误差。

    Thus the design of the non circular gear with the property of bulge shape is resolved, which decreases the engineering measurement error.

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  • 目的:探讨重度僵硬型非角状颈椎后凸畸形的手术治疗方法。

    Objective: To approach the method of surgical treatment for severe rigid non-angular cervical kyphosis.

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