三角不等式

In this paper, the multi-traveling salesman problem is: to meet the triangle inequality enabling complete graph on a bi-objective optimization problem.

详细说明：本文研究的多旅行商问题是：满足三角不等式的赋权完全图上的一个双目标优化问题。

Then in combination with its concavo-convex function,a simple and direct proof can also be found by using theorem deduction.

通过给出关于凹凸函数的一个性质定理及其推论，对一些特定类型的三角不等式通过构造辅助函数，求出函数的二阶导数；再结合其凹凸性利用定理的推论给予简捷的证明。

You can say that the proof uses nothing beyond elementary matrix theory, repeated use of the triangle inequality, and the pigeonhole principle.

你可以简要地说其实证明就是初等矩阵理论，三角不等式和鸽笼原理的运用。

An efficient mining algorithm named advance pruning was proposed which is based on the triangle inequality in metric space.

为此提出了一种利用度量空间中三角不等式的快速挖掘算法－提前修剪。

A set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality.

区间中的每一对点之间的距离都有一个非负实数与之对应且满足三角不等式。

In the proposed algorithm, firstly the Hadamard transform was applied to all the codewords in the codebook and the input vector. Then the initial match codeword was selected from the codeword whose norm was nearest to the norm of input vector on Hadamard transform. Furthermore, the triangle inequalities with multiple control vectors and the two elimination criteria were utilized to reject mismatch codewords. Finally, the best-match codeword to the input vector was found.

该算法首先计算出每个码字和输入矢量的哈德码变换，然后为输入矢量选取范数距离最近的初始匹配码字，利用多控制点的三角不等式和两条有效的码字排除准则，把不匹配的码字排除，最后选取与输入矢量最匹配的码字。

Based on the distance of Kullback-Leibler, this paper give the exact definition of the maximum Kullback-Leibler distance between two different distribution functions and prove that this one has analytic properties such as symmetry, triangle inequality which is the same as the Euclidean distance. By the definition, the maximum Kullback-Leibler distance between some conventional distributions, such as two different binomial distributions, two different normal distributions are obtianed.

在Kullback-Leibler距离的基础上，定义了两个概率分布之间的最大Kullback-Leibler距离，证明了这个距离具有欧式距离的对称性，三角不等式性等分析性质，依照该定义，计算了两个不同的二项分布，两个不同的正态分布等一些常见分布之问的最大Kullback-Leibler距离。

Our techniques require no detailed representations of objects, and can be applied as long as their mutual distances can be computed and the distance metric satisfies the triangle inequality.

我们的技术不需要表征对象的细节，并且可以应用在当他们的相互距离可以被计算或者距离满足三角不等式公理。

This new measure solves several problems that traditional information distance metric encounters in application, including partial matching problem, triangle inequality problem and density problem.

新的度量解决了传统信息距离在解决实际问题时遇到的部分匹配问题，三角不等式问题和密度问题。

In addition, To release the storage load of triangle inequality elimination method, this dissertation develops an efficient codeword elimination criterion by combining the triangle inequality with the mean inequality.

另外，针对三角不等式删除准则的额外存储量大的缺点，本文通过结合均值不等式，推导出一条强有力的删除准则，大大缓解了额外存储量的负担并提高了算法效率。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。