度量

The product of the derivative of a function containing one variable multiplied by the increment of the independent variable .

微分用独立变量乘以含有一个度量的函数，然后对其求导所得的结果

This paper gives a mathematical definition to that two open planar curves have the same shape based on curvature representation, therefore, a new kind of shape distance is proposed. It is concluded that the problem of computing the shape distance between two open planar curves can be changed to the problem of a functional extremum, and the differential equation is given, which can be used to figure out the shape distance.

本文为基于曲率表示的两条平面开曲线的等形下了严格的数学定义，从而找到了一种新的形状距离度量，并且证明了这种形状距离的计算问题可以转化为一个泛函的极值问题，同时给出了求解形状距离的微分方程。

Furlong Measurement used for racing tracks.

弗隆 赛道上使用的度量单位。

In order to realize quick,nondestructive and automatic measurement of the surface roughness of high accuracy gauge block,a surface roughness measurement system based on interference image processing is studied out.

为实现高精度量块表面粗糙度的快速、无损伤、自动化检测，研制了一套基于干涉图像处理的表面粗糙度检测系统。

Since 1960s, the investigations of generalized metric spaces is an active direction of General Topology all the time.

从20世纪60年代起，广义度量空间理论一直是一般拓扑学中活跃的研究方向。

Firstly, the equivalency of case deletion model and mean-shift outlier model is investigated; and several diagnostic measures, such as Cook distance, generalized leverage, residuals, and likelihood ratio statistics et al., are obtained. Secondly, we investigate the local influence for the models, several commonly-used perturbed models are studied, and the close forms of influence matrices are obtained. At last, a real example illustrates that our method is available.

首先，证明了均值漂移模型与删除模型的等价性，并得到了残差、Cook距离，似然比统计量等诊断统计量；其次研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；并分别对常见的扰动模型进行分析，得到了计算影响矩阵的简洁公式；然后，通过实例验证了方法的可行性。

The basic diagnostic statistics such as Cook distance, generalized leverage and residuals et al. are introduced, and the equivalency of case deletion model and mean-shift outlier model is investigated. Some specific problems, such as local influence analysis and the test for heteroscedasticity are discussed. Finally, numerical examples are given to illustrate our diagnostic methods.

首先，证明了均值漂移模型与数据点删除模型的等价性定理并定义了残差、Cook距离等诊断统计量；其次，研究了异常点的Score检验统计量；第三，研究了该模型的局部影响分析，得到了局部影响分析的曲率度量；第四，研究了该模型的异方差检验问题，得到了检验异方差的Score检验统计量和修正的Score检验统计量；最后，通过实例分析验证了这些诊断方法的有效性。

The algorithm for generlized edit distance is NP-complete.A one-direction,low complexity document distance metric based on generalized edit distance is proposed after probing special patterns of document plagiarism.

广义编辑距离的计算是一个NP-完全问题，在充分考虑了文档抄袭行为的特点之后提出一种基于广义编辑距离的单向的低计算复杂性的文档距离度量方法。

The notions of move generalized quasi-contractive mapping sequence respect to p and generalized Ishikawa-type iteration are introduced in p-convex metric space s.

在p-凸度量空间内，引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列，证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

The author defines the lshikawa iteration process with errors for a sequence nonlinear generalized quasi contractive mapping in convex metric space s and prove that the iterative scheme converges to the unique common fixed point of the sequence of nonlinear generalized quasi contractive mapping.

在凸度量空间内，对非线性广义拟压缩映射序列定义了带误差的 lshikawa迭代序列，证明了带误差的 lshikawa迭代序列收敛于非线性广义拟压缩映射序列的唯一公共不动点。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。