查询词典 odd function

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

The design pattern is used to bewrite the decomposite of non-function requires,the relation between non-function requires and SA is set up with structure workflows.The non-function attributes of software architectures are evaluated synthetically based on structure workflows and component combinational operations. According to the evaluation result, a model on software architecture evolution based-on non-function requirements is given.

在软件体系结构描述的基础上，本文使用设计模式描述了非功能需求的分解，使用结构工作链建立了非功能需求与软件体系结构之间的关联，使用结构工作链和组合运算对软件体系结构的非功能属性进行评估，并利用评估结果，提出了一种基于非功能需求的软件体系结构演化方法。

A necessary and sufficient condition for a fx + t(y + g to be a bent function is disscussed,on which basis a necessary and sufficient condition for a function F = fix + tq + g to be a bent function is given when q is not a balanced-function by use of cyclic walsh spectrum and decomposition formula of walsh spectrum.

讨论了形如fx+τ(y+g的布尔函数是Bent函数的充分必要条件，在此基础上利用Bent函数的循环Walsh谱及谱分解式，进一步给出了当q不是平衡函数时，形如F=fx+τ(yq+g布尔函数是Bent函数的充分必要条件。

Introduce the concept of random regular function and random potential function at first, a necessary and sufficient condition of random potential function for denumerable Markov chain in random environment is provided, and the unique decomposition property of nonnegative random super-regular function is discussed.

首先引入随机位势函数的概念，给出随机位势函数的一个首要条件，进而讨论非负随机上调和函数的唯一分解性。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法，进而研究如何针对参数曲面使用有限元方法，并把该方法引入到有理Bézier极小曲面造型的设计中，从而将连续的Dirichlet能量函数极小化问题，转化为一个离散形式的目标函数的极小化问题。

The new threshold function overcomes the shortcomings of the hard threshold with discontinuous function and solves the problem of the permanent bias in soft threshold function,and it is more flexible than the soft threshold and hard threshold function.

新阈值函数克服了传统硬阈值函数不连续的缺点，解决了软阈值函数中存在的恒定偏差，并且具有软硬阈值函数不可比拟的灵活性。

Based on much resolutional analysis wavelet threshold de-noising method ,an improved threshold function is proposed. it overcomes the shortcomings of the hard threshold with discontinuous function ang solves the problem of the permanent bias in soft threshold function,and it is more elastic than the soft threshold and hard threshold function.

在多分辨分析小波阈值去噪的基础上，采用了一种改进的阈值函数，克服了硬阈值函数不连续的缺点，解决了软阈值函数中存在的恒定偏差，并且具有软硬阈值函数不可比拟的灵活性。

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

For function optimize, according to the character of objective function definition, can dispart as scatter function optimization and sequence function optimization.

对于函数优化这个问题，根据目标函数定义域的性质，可以分为离散函数最优化和连续函数最优化。

The next two chapters are the main content. From empirical distribution function, using theory of spline function , give new algorithms of monad distribution function and multivariate distribution function separately.

第三章和第四章由经验分布函数出发，利用B—样条函数理论，分别给出构造一元分布函数和多元分布函数的方法。

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。