特征函数

The characteristic approximation is used to handle the convection part along the direc-tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion; The mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously; In order to preserve the integral conservation of the method, we introduce the modified characteristic method.

该方法对方程的对流部分沿流体流动的方向即特征方向离散以保证格式在流动的锋线前沿逼近的高稳定性，消除数值弥散现象；对方程的扩散部分采用最低次混合有限元方法离散、同时以高精度逼近未知函数及未知函数的梯度；为保证方法的整体守恒性，在格式中引入修正项。

The Absolute Wavelet Affine Invariant Function is constructed based on WAIF,and is used as the eigenvector of the object to be recognized,and is combined with Convex Hull for object recognition.

基于小波仿射不变函数构造了绝对小波仿射不变函数，作为待识别目标的特征向量，与凸壳相结合进行目标识别。

The fluctuation structures were observed in theexcitation function of all the outgoing channels.Statistics method based on thefluctuation correlation was used to study and analyze the excitation systematically,which demonstrates a series of characters in the dissipative collision 〓 and〓 by which they are different from the compound nuclei in the cross sectionfluctuation,such as strong correlation among outgoing channels,long range energycorrelation and angular correlation.

各个出射道的激发函数中都观测到了涨落结构，运用涨落关联的统计理论方法对激发函数进行了系统地研究和分析，揭示出〓和〓耗散反应截面涨落区别于复合核截面涨落的一系列特征性质，如强烈的出射道关联、长程的能量关联和长程的角度关联。

This paper introduced the odd sieve sequence, the methods of character, estimate and triangle sum are used to study the mean value of the divisor function. An asymptotic formula of the divisor function is gave in the odd sieve sequence set to through the analytical method.

引入了奇筛数序列，主要利用特征和估计及三角和方法，研究了除数函数的均值性质，并通过解析方法给出了除数函数在奇筛数序列集合中的一个的渐近公式。

This paper,using the method of differential equation,proves some characters properties of basic elementary function ,and then concludes an equivalent representation about basic elementary function .

运用微积分的方法，对基本初等函数的若干特征性质进行了证明，从而给出了基本初等函数的等价表征。

In chapter 3, we firstly discuss the equivalence of the known APN polynomialfunctions on binary field. Moreover, we present a new family of APN polynomialfunctions and analyze their bent property.

在第三章中，首先讨论了特征为2的域中已知的几类APN多项式函数的等价性质，接着给出了一类新的APN多项式函数，并进一步分析了它的bent属性。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

Actually, such a generalized Cauchy distribution was the Pearson VII probability distribution. In this dissertation, the Lorentz distribution was regarded as a generalized Cauchy distribution with only one scale parameter; while the Pearson VII distribution was regarded as a generalized Cauchy distribution with a scale and a shape parameter both.

因此，本文提出应在Lorentz分布的密度函数中再增加一个能够反映分布函数尾部特征的形状参数，希望通过该参数的可调节性进一步改善稀疏编码算法的自适应性。

Transforming functions are similar to logarithm, sigmoid, arctangent, etc, not depended on a prior knowledge of characteristic exponent, and facilitative for practice application.

变换函数可以是对数型、Sigmoid型、反正切型等，这些变换函数不依赖于对特征指数α的先验知识的了解或估计，便于工程应用。

On the other hand, finite difference and finite element methods use bases with small compact support but poor continuity properties.

小波基函数在空间域和频率域中都具有局部性特征，它的性质优于有限差分法、有限元法和伪谱法中所用的基函数。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷