分解域

On one hand, we study asymptotically fast algorithm for factoring univariate polynomials over finite fields.

本文研究了有限域上单变元多项式分解的渐近快速算法。

In real environment, multiple audio mixtures are a convolutive mixture.

在实际的室内环境中，多通道的语音混合是一个卷积混合信号，在频域利用ICA进行分离时，不同频点上分解出的源信号的次序不确定，需要用后处理方法确定源的对应关系。

First, considering the construction characteristic of Reed-Solomon code, we present a kind of new construction method for linear codes by using the factorization properties of cyclotomic polynomials on finite fields.

在纠错码的设计与分析方面：首先，结合Reed-Solomon码的构造特点，利用有限域F_q上分圆多项式的分解特性来构造F_q上线性码。

At last, By using the factorization properties of cyclotomic polynmials on finite fields and the construction characteristic of cyclic codes, we present the relation of the period distribution of cyclic codes and the period distribution of their dual codes, establish the explicit formula for the number of the codewords without inner-period of the cyclic codes and their dual codes, find the method for computing the dimension and the period distribution of narrow-sense primitive BCH codes,and study the inverse question of period distribution of cyclic codes.

最后，利用有限域上分圆多项式的分解特性和循环码的构造特点，揭示了循环码的周期分布与其对偶码周期分布之间的内在联系，确定了一般循环码及其对偶码内无内周期码字的精确计数公式，决定了狭义本原BCH码的维数与周期分布，讨论了循环码周期分布的反问题。

The method has some characteristics:(1) it adapts to medical images authentication due to the high Signal-to-Noise when the watermark was embedded into images.(2) It ensures the fragileness of watermark when it combines with the statistical information of wavelet coefficient to choose the embedding position.(3) It has a strong localization ability for tampering because of the characteristics of wavelet decomposition in the space-frequency domain.(4) It uses the secret key which can resist the malice attack even if opening the algorithm completely to protect the proposed method.

本算法具有以下几个特点：(1)图像嵌入水印后具有较高的信噪比，适用于医学图像的认证；(2)结合小波系数的统计信息来选择嵌入水印的位置，保证了水印的易碎性；(3)小波分解在空频域的特性使得算法对篡改具有很强的定位能力；(4)利用密钥对算法进行保护，即使公开算法，也能抵挡恶意攻击。

The original large computation domain is divided into several nonoverlapping subdomains.

采用这种混合方法分析了波导问题，将原求解区域分解为若干个非重叠的子域。

The combination of Domain Decomposition Method and Monte Carlo method makes it possible to calculate parallelly in time and space zone.

通过引入辐射传递系数，将该系数的计算与能量方程的求解分离，从而分离了计算的难点，使得在时间域上能把整个问题分解为若干个子问题并行处理。

Under the tectonic dynam ics of beded uncoaxial shear, the rocks produced deformation partitioning to for m the strong-deformation zone consisting of pelitic tectonic slate and the weak- deformation domain consisting of sandy tectonic slate respectively.

带内岩石在非共轴顺层剪切构造动力作用下发生变形分解，形成泥质构造板岩强变形带和砂质构造板岩弱变形域。

Therefore, local wave decomposition technology was introduced into the logging date extrapolation method constrained by time-phase model to gain the seismic instantaneous phase. The relationship of logging and seismic data was established through the wellside strata correlation. High resolution attributes inversion profiles were generated through the extrapolation of logging constrained by equiphase surface established based on seismic data.

为此，在时间－相位模型约束的井资料外推方法中，引入局域波分解技术来求解地震瞬时相位；通过井旁地层对比，建立测井资料与地震资料之间的联系，把测并信息在地震资料建立的等相面约束下外推出去，以获得高分辨率的属性反演剖面。

The low frequency is decompounded with domain value filtering method, without considering the high frequency, so it can be disposed through wavelet function.

域值滤波法只对低频部分进一步分解，不考虑高频部分，因而用小波函数进行处理。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。