查询词典 descent method

An opportunity, however, presented itself: being required to work out from data supplied to him the ''défflement'' of a proposed fortress (an operation then only performed by a long arithmetical process), Monge, substituting for this a geometrical method, obtained the result so quickly that the commandant at first refused to receive it - the time necessary for the work had not been taken; but upon examination the value of the discovery was recognized, and the method was adopted.

但是一个机会出现了：蒙日需要根据数据计算一个设计中的要塞的枪炮布置（通常需要很长的算术过程来完成），他用了一个几何的方法来代替，如此迅速地得到了结果，以至于司令官一开始拒绝接受-因为一般完成工作所需的时间还没有过去；但是检查发现的价值被认可了，而且该方法被采纳了。

A method of depth measurement with monocular vision is used in the geometrical self-localization method.

并且通过单目视觉测量场地特征点与机器人之间的距离，用几何的方法实现全自主足球机器人的自定位。

Embarks from the monocycle stock model main consideration cost element, through the expectation loses smallest method and expectation profit biggest method realizes to the monocycle stock model in the stockout cost and the expired cost control,then determination best volume of order.

从单周期库存模型主要考虑的成本因素出发，通过期望损失最小法和期望利润最大法实现对单周期库存模型中缺货成本和过期成本的控制，从而确定最佳订货量。

According to the second class standard of the national soil environment quality, pollution severity of heavy metals in the soil was evaluated by monomial pollution index method and Nemerow synthetic pollution index method.

依据国家土壤环境质量二级标准，用单项污染指数法和内梅罗综合污染指数法评价土壤重金属的污染程度。

Low-valent titanium reagent induced the monomolecular reduction of N-substitutedphthalimides supplied a new method of synthesis hydroxyl lactams. This method was moreeconomic, convenient and in higher yields comparing with other methods reported before,therefore it has practical value.

4低价钛试剂引起邻苯二甲酰亚胺的单分子还原反应提供了一种合成羟基内酰胺的新方法，和文献方法相比，我们的方法试剂便宜易得，毋需溶剂，操作简便，收率也有所提高，具有实用价值。

The relation of interfacial adsorption equilibrium in the solution system was respectively tested and calculated with Gibbs equation and dynamic method .The conclusion showed that (1) the experiment result of dynamic method with was highly in coordination with the value which from theoretical calculation.(2) The surfactant molecule was in arrangement of monomolecular layer at the gas-liquid interface.

用吊环法测定了十二烷基硫酸钠水溶液不同浓度与其界面张力的关系，拟合得到的回归方程为σ=-0.9523 ln ~2C-24.534 ln C-81.411，同时还测得其临界胶束浓度值CMC为6.5×10~(-3M，运用吉布斯等温方程和动态法分别计算和测定了该溶液系统的界面吸附平衡关系，结论表明：(1)动态法测定结果基本吻合吉布斯方程的理论计算；(2)表面活性剂分子在气—液两相界面是以单分子层形式定向有序排列的。

We construct a kind of special matrix function, which is used to characterize the minimization property of this iterative method, and prove that the approximate solution, generated by this iterative method, minimizes this kind of matrix function over a special affine subspace, which means that the Frobenius norm of the residual sequence is strictly monotone decreasing.

通过构造一类特殊的矩阵函数来刻画该迭代方法的极小化性质，并证明了由该迭代方法计算出来的逼近解，可使得这类矩阵函数在一个仿射子空间上达到极小，而且所得到的残差序列的Frobenius范数是严格单调递减的。

Nonmonotone trust region method applies nonmonotone technique to trust region method, which does not restrict a monotone decrease of the function value at each iteration.

非单调信赖域方法把非单调技术应用到信赖域方法中，不要求函数值在每一步都下降，有利于算法的收敛，特别是在坡度陡的低谷地带。

However,To prove Inequality with elementary method,we often create complex computational process. The second ,we will take full advantage of the knowledge of calculus Inquiry Testimony of inequality,and concluded the higher mathematics to prove Inequality several main method and its application conditions.Constructors in the context of the use of the monotone function,Calculus value theorem,function and the most extreme value,integral, it can be a very effective solution to the inequality problem proof. At last,we summed up several convenient and simple way to prove Inequality.It will be play a great role in our problem Solving.

但是用初等方法证明往往会造成复杂的运算过程，本文接着充分利用微积分的知识探究不等式的证明方法，并指出微分学和积分学在不等式的证明的具体应用，那就是在构造函数的背景下运用函数的单调性、微积分中值定理、函数的极值和最值、定积分，那么就可以十分有效地解决不等式中的证明问题，从而归纳出几种方便而又简捷的方法，这样对我们解题将会起到很大的作用。

In Chapter 2, a nonmonotone trust region method with a line search technique is presented. Unlike traditional trust region methods, our method does not restrict a monotonic decrease of the objective function value at each iteration, but only requires an average of the successive objective function values decreasing.

第二章，我们提出了一类带线搜索的非单调信赖域算法，与传统的信赖域方法不同的是：我们的算法不要求目标函数值在每一步都有充分下降，而是要求目标函数的连续平均值充分下降。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。