查询词典 odd function

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

In addition, a training algorithm based on a composite object function is proposed. This algorithm simplified the form of the composite object function and use adaptive method to adjust parameter of the composite object function so that the training speed is increased in the later period.

此外，还提出了一种基于综合目标函数的神经网络训练算法，在该算法中对综合目标函数进行了简化，并采用自适应的方法来调整目标函数的参数，使训练后期的收敛速度明显提高。

These results show the corresponding relationship between the composite function and interior function and outer function.

本文讨论复合函数的性质，对复合函数在极限、连续性、可导性、可积性、有界性、奇偶性、周期性、单调性、极值等方面的性质进行了总结和进一步的探讨，得到一系列结果，这些结果描述了复合函数与其内外函数之间在相应性质上的关系。

In order to overcome the nonsmoothness of the objective function, we usea smoothed concave function to approximate the objective function.

为了易于求解该模型，本章采用一个光滑的凹函数来近似目标函数。

Inequality proof of various ways, they were: use derivative testify inequality nature, Includes using functional monotonicity and extreme value, the function and the concave and convex inequality, proving is concave and convex function in the original definition of equivalent definitions and a lemma is proposed on the basis of relevant concave and convex function of several theorems about inequality, and briefly discusses how to use the definitions and theorems in proof of inequality.

不等式的证明方法多种多样，它们分别是：用导数性质证明不等式；包括利用函数单调性，极值与最值，函数凹凸性证明不等式，其中在给出凹凸函数原始定义等价的解析定义和一个引理的基础上提出有关凹凸函数关于不等式的几个定理，并简要阐述了利用定义和定理在证明不等式中的运用。

This study examines the effects of allocative distortions on returns to density and input demand in domestic airlines during 1989-1997 by using a non-minimum cost function from the cost efficiency point of view. We generalize a globally concave and flexible cost function by using the symmetric generalized McFadden cost function to accommodate allocative distortions for domestic airlines, and estimating the density economies with and without allocative distortions as well as its effect on cost efficiency.

故本研究透过成本效率的观点，使用符合全面凹性更具弹性之对称性一般化影子成本函数来检视国内各航空公司民国78-86年期间之分配扭曲对密度报酬、投入要素需求量（劳动、燃油、固定要素及其他）及成本的影响，以了解各航空公司无效率之所在。

The method that bioceramic in the treatment of fracture of the extremities is beneficial for the new bone formed and could accelerate fracture concrescence. The degradation process has no effect in serum calcium, hematopoiesis, liver function, renal function and cardiac function.

生物陶瓷治疗四肢骨折，有利于新骨长入，促进骨折愈合，其降解过程不会引起血清钙浓度变化，不会引起人体造血功能、肝肾功能及心脏功能变化。

After the joint probability density function between the 'float' ambiguity solution and the fixed ambiguity solution is introduced in this section, the conditional probability density function of the integer ambiguity solution is gotten according to this joint probability density function.

在介绍了模糊度浮点解和其固定解的联合概率密度函数之后，本文根据这个联合概率密度函数得到了模糊度整数解的条件概率密度函数。

In addition,we show that the transformed conditional distribution function is of the same family as that of the original one as long as the moment generating function of the original distribution function exists,which is illustrated by two special cases:Normal distribution and Normal Inverse Gaussiandistribution.

此外，本文还通过两个特殊情况(正态分布和正态逆高斯分布)说明了：只要初始分布函数的母函数存在，转化后的条件分布函数保持原有的分布类型。

When using restricted maximum likelihood for parameter estimation, we need to get the minimum of a function. But if the expression of the function is complicated, it is difficult to obtain the derivatives of the function. We introduced conjugate direction method which avoided the derivatives.

在用限制极大似然法估计参数时，需解决函数的极小化问题，而当函数的表达式较为复杂时，将难以获得其偏导数，本文给出的共轭方向法，避开了求导问题。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。