最小化

This solution can solve problem by original coefficient matrix directly.

该方法不必一开始就去用新的系数矩阵代替原系数矩阵，而是可直接在原系数矩阵上进行求解，只是求解过程中的一些原则与最小化问题的求解原则有所不同。

In the paper, the via minimization problem in multi layer routing with adjacent constraints is translated to a k colorable problem which has more general meanings, and a mean field annealing algorithm for the k colorable problem is proposed.

该文把具有相邻约束的多层通孔最小化问题转换为更具广泛意义的 k-着色问题，并提出了 k-着色问题的均场退火求解算法。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

Because Britain's constitutional monarchy after 1688 minimised the intervention of the state and entrenched property rights?

是因为英国1688年后的君主立宪制，最小化了国家干预，强化了产权制度？

A primary goal in the design of wireless sensor networks is lifetime maximization,constrained by the energy capacity of batteries.So a critical issue is to strategically deploy an appropriate number of aggregators so as to minimize the amount of energy consumed by transporting the data.

无线传感器网络设计的一个主要目标就是最大化网络生命期，因此需要研究如何部署适当数量的簇头节点达到最小化整个网络节点数据传输能量消耗。

In chapter 6, ACS algorithm is used to resolve the Constrained Via Minimization problem in multi-layer routing.

我们将蚁群算法首次应用到多层布线的通孔最小化问题中。

A neural network approach for the constrained via minimization in multi-layer VLSI/PCB routing based on Hopfield network is proposed.

本文提出了一个基于Hopfield网络的VLSI/PCB多层布线中的有约束通孔最小化方法。

Our approach consists of the following steps: providing a sketch based mapping between the sources and the target; deforming the target based on the deformations of the corresponding sources by means of differential mean value coordinates; smoothing the deformed target with constrained minimization method to form a key frame of the target animation; and interpolating between key frames created from to produce a complete 3D animation of the target.

该框架由以下几个步骤组成：使用草图在源网格和目标网格间建立映射；使用非闭合网格均值坐标，根据源动画的运动风格来变形目标网格；对变形后的目标网格求解最小化约束函数以获取光滑的目标网格，从而生成目标动画的关键帧；对由产生的结果进行插值，产生完整的目标对象的三维动画。

Image Processing Center, School of Astronautics, Beihang University, Beijing 100191 Image Processing Center, School of Astronautics, Beihang University论文摘要: Using hyperspectral images to detect targets, the classical detection algorithms mainly focus on the second-order statistics. For example, the popular Constrained Energy Minimization algorithm uses the data's correlation matrix to detect targets.

论文摘要：利用高光谱图像进行目标检测，传统的目标检测算法主要使用二阶统计量，例如国际上流行的约束能量最小化(Constrained Energy Minimization，CEM)算法使用数据的二阶相关矩阵来进行目标检测。

Contingency is inevitable, but what we can do is to minimize its impact by preparation.

偶然事件是不可避免的，但我们却可以通过准备来最小化它们的影响。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失