最优化

The powerful function of a new computer language MATLAB, produced by the America Mathworks company, is the mathematical software system for the calculation in science engineering. It can efficiently solve problems in science and engineering such as numerical linear hypercomplex system, digital approximation, optimization, numerical quadrature etc. It also has characters of beautiful interface and convenience for users.

MATLAB是Mathworks公司推出的适用於科学和工程计算的数学软件系统，可高效地解决数值线性代数、微分方程数值解、数值逼近、最优化、数值积分等科学和工程问题，且具有可视化图形处理、使用方便、开放式多功能於一体的新一代计算机语言。

The optimization of Latin hypercube design is an important area of the space filling experimentation.

最优化拉丁超立方试验设计是试验设计领域的热点问题。

Because the genetic algorithms could search the optimization of objective function randomly, which via the evolution of groups, our work is based on the embedding/detecting way of "DWT-Based Audio Watermarking Using Support Vector Regression and Subsampling". And this method provides a preliminary discussion on the application of GA, which searching the individual with the highest fitness of attack-resistance in the aggregate of the optimal embedding strength. As an optimization solution of obtaining the optimal embedding strength, it could achieve an adaptive policy, and find a reasonable balance between the robustness and inaudibility of the watermark, just for the better robustness and inaudibility in the algorithm.

遗传算法是通过群体进化来随机搜索目标函数的最优化问题，对于前述基于支持向量回归机的小波域数字音频盲水印算法，进一步地探讨采用遗传算在嵌入强度集合中搜索对抗攻击能力适应度较高的个体，从而得到最佳嵌入强度的一个优化方案，以实现自适应策略，也使本算法能在水印的鲁棒性和不可感知性之间寻找到合理的平衡点，从而具有更良好透明性和鲁棒性。

A main feature of this scheme is that it requires only the information of the far-field patterns of the acoustic scattered waves at a finite number of incidence and observation directions distributed over some limited ranges.

提出了求解这类非线性且不适定反问题的一种非线性最优化方法，该方法的主要特点是只需声散射场的远场分布在某个有限孔径中若干个入射和观测方向上的远场信息。

In chapter 4 we proposed a linear inequality constraint optimization question frame about projection of gradient algorithm, and has performed the numerical experimentation, but its convergence also needs further study.

在第四章中我们提出了线性不等式约束最优化问题的一个投影梯度算法框架，做了数值试验，但其收敛性还有待进一步研究。

Array efficiency is restricted to be higher than a given value by incorporating a quadratic inequality constraint on the weight vector, and the desired sidelobe level is achieved by implementing linear constraints through iteration.

该方法适用于任意的阵列形式，以最大化阵列方向性系数为目标，通过对加权向量的二次约束控制了阵列效率，并采用迭代的方法满足了方向图旁瓣的要求，实现了阵列效率和旁瓣约束下的方向性系数最优化。

Even the solution was optimal,infeasibility could still be reached.

作业加工调度问题不仅是NP难的[1]，还被认为是最难的组合最优化问题之一。

We considered an integer one-dimensional optimization problem appeared in Newton-PCG method. The efficiency of Newton-PCG algorithm is depended on the optimal value of this problem.

目前，对支持向量机的研究主要是针对统计学习理论以及各种应用领域的研究，而从最优化理论的角度出发的研究工作甚少。

In this paper we detail a novel optimisation model, based upon integer linear programming, to determine metabolic pathways.

本文中，我们详细介绍了一个新的，基于整数线性规划的最优化模型，来确定代谢通路。

It is well-known that the generalized inverses of a matrix have wide applications in many areas such as differential and integral equations, operator theory, statics, optimal theory, control theory, Markov chains and etc.

众所周知，矩阵广义逆在许多领域中有广泛应用，如在微分和积分方程、算子理论、统计学、控制论、Markov链、最优化等。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。