They are perfect secret sharing schemes . their information rates are asymptotically optimal . and the probability of successfully cheating in these two schemes can be ignored 这两个方案均能够检测出骗子的存在，是一个完备的秘密共享方案，信息率满足渐近最优性，欺诈成功的概率可忽略不计。
The theorem of the local minimum of - vex function must be the global minimum is proven , and necessary conditions and optimality sufficient conditions of constraint nonsmooth programming are given 证明了凸函数的局部极小一定是整体极小，并且给出了约束非光滑规划的必要条件以及最优性充分条件。
Our company will stick up to improving the quanlity and controlling the cost , to provide the best products and service to our customer , hoping to build long - term partnership with our customers 本公司将不断致力于产品品质改进与成本控制，为客户提供最优性价比的产品及良好的客户服务，以期与客户建立长久的伙伴关系。
The consistency of the big m method and two - phase method in idea , auxiliary linear programming problem , initial feasible basis , initial simplex tableau and optimality criterion , etc . , is analyzed 摘要分析了大m法与两阶段法在思想方法、辅助线性规划问题的构造、初始可行基、初始单纯形表、最优性检验和算法步骤等方面的一致性。
This paper is organized as follows : in the first chapter , we briefly review the origin and development of the nonlinear optimization problems and lc1 optimization problems , and the optimization conditions were presented 第一章简单介绍了非线性最优化问题以及lc ~ 1优化问题的产生与发展，并给出了lc ~ 1优化问题的最优性条件。
Under generalized convexity assumptions , necessary and sufficient conditions of optimality are obtained for nonsmooth nonlinear optimization problems . moreover , dual model is established and duality results are obtained 在函数广义凸意义下，获得了非光滑非线性优化问题的最优性必要条件和充分条件，建立了问题的对偶模型并得到对偶结果
Abstract : under generalized convexity assumptions , necessary and sufficient conditions of optimality are obtained for nonsmooth nonlinear optimization problems . moreover , dual model is established and duality results are obtained 文摘:在函数广义凸意义下，获得了非光滑非线性优化问题的最优性必要条件和充分条件，建立了问题的对偶模型并得到对偶结果
By systematic analysis on some key elements and factors in department economic growth , this paper put forward a feasible economic control model and get the optimal accumulation rate of department economic growth by the optimum principle 本文在系统分析部门经济发展的各要素及因素后，建立了可行的经济控制模型；并利用最优性原理得到了部门经济发展最优积累率。
At first , on the basis of the sufficient and necessary optimality conditions , we give a certain algorithm to compute the trust region subproblem ; then , we draw out a different scheme for parameter vector in cim 在分析子问题最优性条件的基础上，我们给出了锥函数模型信赖域子问题的求解算法；并从数据拟合的角度提出了对锥模型中参数向量的另外一种选择方案。
Modeling tools and techniques include linear , network , discrete and nonlinear optimization , heuristic methods , sensitivity and post - optimality analysis , decomposition methods for large - scale systems , and stochastic optimization 建模工具和方法涵盖线性规划，网络规划，离散规划，非线性规划，启发式方法，灵敏度分析，事后最优性分析，大规模系统的分解方法和随机规划。
