数学规划

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

These transformations are based on the mathematical relationships that describe the various map projections. Thus, a transformation converts the coordinates of one system to the coordinates of another .

而这些转换的过程是经由数学计算来描述地图上的各种规划，因此用这种方式将不同系统座标来作一个转换。

Secondly, the realization of dialectical logic mathematics research planning" Research outline of universal logics" put forward by the authors is introduced briefly, and the main point of" the standard proposition universal logics" set up under the guidance of the outline is also introduced.

其次，简单介绍了作者提出的实现辩证逻辑数学化的规划《泛逻辑学研究纲要》，及在纲要指导下建立的《标准命题泛逻辑学》要点，指出该逻辑系统在包容各种辩证矛盾的同时，有效地排除了逻辑矛盾。

This paper, based on the results obtained by using Delph method for single-standard speciality ordering as well as mathematic method for multip-standard odering, applys FHW method to performe analysis qualitatively and quatitively and works out satisfactory result of this programme.

本文用Delphi法获得单准则的专业排序，用数学方法处理得到多准则的排序结果的基础上，应用FHW方法，使定性和定量有机结合起来，圆满解决人才专业结构规划问题。本文论述了此方法，并结合实例进行了研究。

By using ideologies of logistic planning and methods of linear programming, the mathematic model of logistics distribution is established to study rock dumping scheme optimization for hypaethral mines with three-dimensional block structure.

以矿山的三维块状模型为基础，将物流规划思想和线性规划方法相结合，建立物流运输线性规划数学模型，研究露天矿山的排岩优化问题，得出在最小运输功下开采境界内所有岩块去往各排岩场的流向和流量。

After analyzing the cause of uncertainty in the process of oil-field development,the uncertainty problems in reservoir description,residual oil distribution,oil production prediction and plan of oil increscent measurement were taken as examples to show that uncertainty method is the key to solve those problems.Many uncertainty methods such as random modeling,fuzzy mathematics,mathematical statistics and opt...

在分析油田开发不确定性问题来源的基础上，以油田开发过程中的油藏描述、剩余油分布、油田产量预测和增产措施宏观规划等典型不确定性问题为例，说明了解决这类问题的有效手段为采用不确定性方法，包括随机建模技术、模糊数学、数理统计和最优化等方法；并逐一介绍了这些方法在解决油田开发不确定性问题中的应用。

After analyzing the cause of uncertainty in the process of oil-field development, the uncertainty problems in reservoir description, residual oil distribution, oil production prediction and plan of oil increscent measurement were taken as examples to show that uncertainty method is the key to solve those problems. Many uncertainty methods such as random modeling, fuzzy mathematics, mathematical statistics and optimization were introduced in the application of solving uncertainty problems in the oil-field development.

在分析油田开发不确定性问题来源的基础上，以油田开发过程中的油藏描述、剩余油分布、油田产量预测和增产措施宏观规划等典型不确定性问题为例，说明了解决这类问题的有效手段为采用不确定性方法，包括随机建模技术、模糊数学、数理统计和最优化等方法；并逐～介绍了这些方法在解决油田开发不确定性问题中的应用。

This paper establishes a multi-programming model to make a decision what a electronic company in Shenzhen need to make now. In the process, I uses LINDO software to solve and analysis the model, then the results provide the reasons that the electronic company need to decide.

本文通过建立多目标规划的数学模型来解决深圳市某电子公司现需要做出的决策问题，在实现过程中应用LINDO软件对模型进行求解并分析，为电子公司做出生产管理决策提供依据。

Let{T_1,T_2,...T_N} be a sequence of nonexpansive mappings that satisfy condition,and let r be a mapping from the set of natural numbers N onto {1,2,..N},which assumes each value infinitely often.

我们主要研究当≠φ随机乘积{S_n}的收敛性。因为这种随机乘积有广泛应用(如在偏微分方程，规划数学，不等式及线性等式)。

According to the characteristic of the plastic limit analysis model, the Sequential Quadratic Programming Method should be used to solve the NLP problem. In addition, MATLAB and GAMS are introduced, whose usage and points for attention are explained in detail.In the fifth chapter, the program self-assembled and the interface program connected with fore-treatment and after-treatment are illustrated.

本章还介绍了两个比较常用的非线性规划数学软件——MATLAB和GAMS，对它们的使用方法及注意事项做了细致的说明；第五章介绍了自行编制的三维有限元塑性极限分析下限法程序，对相应的前后处理接口程序做了详细的说明。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷