查询词典 valid function

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

We define I-quasi-invex vector function ., I-strictly quasi-invex vector function and KT-I-strictly quasi invex vector function, and derive the above equivalent condition for unconstrained or constrained multiobjective programming.

于是，在本文的第三部分，我们定义了Ⅰ类不变拟凸、Ⅰ类严格不变拟凸、KT-Ⅰ类严格不变拟凸的向量值函数，并且在无约束或约束多目标规划中，获得了每个驻点是有效解的等价条件。

This article discusses fix quantity connection between quaternion non-linearity continuous function △ERR_ and △ERR_ in the reference literature~([1]),and its decisive effect on distributing evolvement disperse drop field in the error ratio function ERR_(100nm%)λ_(centreT,n,thus paves the way for the function degree of redundancy of Pipelined-Flash A/D.

本文讨论参考文献[1]中两类四元非线性连续函数△ERRdn与△ERRdj之间的定量关系，对误差比率函数ERR100nm%离散点域分布演变所起的决定性作用。

From 1986 to 2005, the function intensity between cities was growing geminately, the spatial radiancy function of urbanization was enhanced, the trend of regional urban development of cities was obvious, and the function of Shenyang as the central city in this highly urbanized area became distinct, with other cities in the area moving towards Shenyang.

结果表明： 1954年以来城市用地不断增加， 1954～1975年城市扩张最快，但不同城市扩张速率和趋势不尽相同； 1986～2005年城市间的相互作用强度成倍增加，城市化发展的空间辐射作用增强，沈阳市作为区域中心城市，城市化水平和作用不断突显，一些城市明显向沈阳市方向移动； 1975～2000年小城镇快速发展；较高城市空间年增长率分布区域与城市重心转移方向基本吻合。

In the thesis the theory of time series analysis, several models about time series analysis and the dynamic feature of time series analysis are expatiated in detail; how to use autocorrelation function and partial correlation function to judge the model is analyzed; a kind of better rule to determined rank is determined by comparing several kinds of determined rank; thereby the reverse function can be used to forecast.

本文详细阐明了时间序列的基本思想、几种常见的时间序列模型以及时间序列的动态特征；分析如何利用自相关函数和偏相关函数来对模型进行判定；通过对时间序列的几种定阶准则的比较，确定出一种较好的定阶准则来建立模型，从而利用逆函数法进行预报。

By means of input - output production function, the Constant Elasticity of Substitution production function of rank two is established in this paper, so it provides a method of assessment on the driving function of construction investment to urban economy, which meets the characteristics of urban construction and overcome the limitation of statistical material.

将CES生产函数应用于城市建设经济分析，推导并建立了用于测定城市建设投资的二级常数替代弹性CES生产函数模型，提供了从数量角度研究城市建设投资对城市经济拉动的方法，反应了城市建设的特殊性，克服了城市建设投资统计资料不健全的缺陷，弥补了以往对城市建设投资规律认识的不足。

By the iterative functional equation we usually mean an equation containing at leastan n-th iterate〓of an unknown function.A relatively general form of it is〓(1)where〓is a given integer,J is a connected closed subset of the real number axis R,G is a given〓function from〓to R,and f is an unknown function to be solved.

迭代函数方程通常是指含有未知的函数并含有它的至少2次迭代的方程，它的一个比较广泛的形式是〓，对任〓，（1）其中〓是个给定的整数，J是实数轴R的一个连通闭子集，G是个给定从〓到R的〓映射，f是个未知而待求的函数。

By using testing functions to make comparative research on the precision of approximate models which were built by RBF under the condition of different sample amounts and different kernel function types, a conclusion was drawn: the model quality built by Reciprocal Multiquadric RBF as kernel function was highest when the sample amout was big, and the model quality built by Gaussian RBF as kernel function was highest when the sample amount was small.

运用测试函数对在不同样本数量与不同核函数形式下所建立的近似模型的精度进行对比研究，得出逆多二次函数与高斯函数作为核函数分别在大样本和小样本情况下精度最高的结论，并验证了径向基函数近似模型方法能够兼顾效率与精度。

This unit content is to be on the image basics that had learned department of planar rectangular coordinates, function, make a student farther understand the intention of function, the linear that exists between the amount in feeling real world concerns, how does experience apply linear function knowledge to solve real problem.

本单元内容是在已经学习了平面直角坐标系、函数的图象基础上，让学生进一步理解函数的内涵，感受现实世界中数量之间存在的线性关系，经历如何应用一次函数知识解决实际新问题。

In the special case of GLM—normal linear model with classical link function,we compare our methods with existing ones and our methods perform more excellently.Finally,sequential detection of structural changes is studied in nonparametric regression models o Based on Nadaraya-Watson estimator of regression function,we calculate the residual series and construct "residual cumulative sum process" with weight values of kernel estimator of "long-run average density function".

在随机模拟一节中，给出了布朗桥的h-增量过程的"Max-Max"泛函统计量的经验分位数表，并在随机模拟中验证了文中所提"部分和"与"滑动和"方法的有效性，同时在广义线性模型取"典则连接函数"时的特例—正态线性模型场合，与已有方法进行了对比，结果显示文中所提方法表现更优。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。