数学规划

Metal rolling ; adhesive plastic lubricant ; lubrication interface slip ; thickness of oil film ; parametric quadratic programming; mathematic analysis

金属轧制；粘塑性润滑剂；润滑界面滑移；油膜厚度；参数二次规划技术；数学分析

Three-dimensional layout optimization; optimality condition; graph theory and permutation group; multi-objective programming

基础科学，数学，运筹学三维布局优化；最优性条件；图论与置换群；多目标规划

Based on study of punching process requirements and processing sequence,the polychromatic sets theory was applied to construct the mathematical model of punching process planning.

在研究冲压工艺加工需求和加工工序的基础上，应用多色集合理论建立了冲压工艺规划的数学模型。

Based on Pontryagin maximum principle,the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

In this paper problem that high power loss and bad voltage quality in distribution network is analyzed.

分析了现有配电网络规划不同数学模型的优劣性。

Based on the idea of dynamic programming, the recursion formula of the least number of movements necessary for this problem is presented.

采用动态规划的想法，给出了多柱汉诺塔问题最少移动步数的递推公式和具体表达式，并使用3层数学归纳和纯组合的方法对其进行了证明。

Route guidance system is important application in modern transmit and troop march. Traditional route guidance algorithm, such as Dijkstra's algorithm, has very height computing complexity and search space. It's planning route is just shortest route of mathematical meaning, and don't meet navigation need.

路径诱导在现代交通和部队机动过程中具有重要应用，传统路径诱导算法（如Dijkstra算法）具有很高的计算复杂度和搜索空间，所规划路径仅仅是数学意义上的最短路径，很难满足实际道路交通导航诱导要求。

Then, based on experience, statistics, statistical and mathematical methods to estimate parameters, re-use of parameter estimates to validate the model based on economic theory is correct, the last use of the revised parameter values to predict the future and planning policy.

然后，根据经验统计资料，用统计和数学方法估算参数，再利用参数估计值来验证模型所依据的经济理论是否正确，最后利用修订的参数值来预测未来和规划政策。

Stochastic convex programming; Monte Carlo methods; Financial optimization; Convergence with probability one; Optimality condition; Monte Carlo penalty function methods; Nonsmooth optimization; Directional derivative; Subdifferential; Confident interval; Conditional Value-at-Risk; Optimal reinsurance

基础科学，数学，运筹学随机凸规划； Monte Carlo方法；金融优化；以概率1收敛；最优性条件； Monte Carlo罚函数法；非光滑优化；方向导数；次微分；置信区间；条件风险价值；最优再保险

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