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In the first part, convex duality method linearizes convex wealth equation, and the introduction of Lagrange multiplier converts original problem to an unconstrained static optimum problem. At last, we obtain another equivalent optimum problem with convex control domain.

文章前一部分运用凸对偶的方法先将财富方程线性化,Lagrange乘子的引入使最优问题等价与一个无约束的静态最优问题,最后转化为一个凸控制域的最优问题。

Star pattern identification algorithm based on convex polygon with star magnitudes-independent is presented for strap-down celestial guidance.

依其坐标排序,采用由平面上的点生成凸多边形的算法,就能得到唯一的、以恒星为顶点的凸多边形。

In virtue of this,some properties of convex polyhedroid are studied and the definite values and extreme values of convex polygon in Euclidean plane are extended to the case in n-dimensional space.

提出n维欧氏空间中广义重心坐标的概念,建立了广义重心坐标下两点间的距离公式,并利用于研究凸多胞形的若干性质,将欧氏平面上凸多边形的一些定值与极值性质推广到n维空间。

In this study, the convex set theory and convex models are applied in the treatment of uncertainty in the seismic hazard analysis and performance-based structural seismic evaluation and design, and an alternative approach is developed for analyzing the uncertainty in earthquake engineering.

本文运用凸集理论和凸集模型描述地震危险性分析和基于性能的抗震性能评估和抗震设计中相关因素的不确定性,发展地震工程中不确定性因素的新的处理方法。

Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.

王娴 ,何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化,给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶,建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

Markowitz model of equality constraint protrusion analysis is constructed,including the generic restriction conditions.

文章在将一般化的约束条件纳入分析框架的基础上,建立起Markowitz等式约束凸规划分析模型,运用二次规划问题降维算法的原理,提出了一个求解Markowitz等式约束凸规划模型的快速算法。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck,Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中,而当G是一般交换拓扑半群时,Hirano-Kido-Takahashi,Oka,Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

The influence of the size of pad and solder bump, the volume of eutectic solder and reflow temperature on the geometry of duplex SnPb solder joint with high Pb solder bump and eutectic SnPb fillet was simulated by finite element method with the software of SURFACE EVOLVER.

应用SurfaceEvolver软件,对含高铅焊料芯片凸点和共晶SnPb焊料形成的复合焊点的形态进行了有限元模拟,考察了焊盘大小、芯片凸点尺寸、焊料体积、焊接温度等焊点的设计及工艺参数对焊点形态的影响。

Under the G-differentiable ,using the alternative theorem of generalized subconvexlike map and other some conclusions in locally-convex Hausdorff topological spaces, the optimality conditions of vector extremum problems with set constraint are established.

在局部凸Hausdorff拓扑空间中,在G-可微的意义下,运用广义次似凸映射的择一定理和其他一些结论,建立了带集合约束的向量极值问题的最优性条件。

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