查询词典 method of undeterminated coefficients

This method reveals the combinatorial connections between the binomial coefficients and the Gaussian coefficients.

这种证明方法深刻地揭示了高斯系数和二项式系数之间的组合联系。

The purpose of this thesis is to present a direct perturbative method to solving certain Fokker-Planck equation, which have constant diffusion coefficients and some small parameters in the drift coefficients.

中文摘要本篇论文应用微扰法来解某些Fokker-Planck方程式，而这种Fokker- Planck方程式具有扩散系数是常数以及漂移系数是很小的参数的特徵。

According to the feature of the SARS Chest Radiographic Images, the wavelet analysis method is put forward to dispose the SARS images and the wavelet coefficients are picked up. After the wavelet threshold noise reducing and the wavelet threshold enhancing disposure to the each of the wavelet coefficients, the clear images are reconstructed at last.

摘 要：通过对非典型肺炎的胸部 X 线图像的特征分析，提出采用小波分析方法，对图像做小波变换，提取各层小波分解系数，利用阈值法对各系数作去噪预处理，然后再利用阈值法对各系数做衰减或增强处理，最后重构出清晰图像。

This method is based on the time-varying Fourier coefficients series of the system variables,and focuses on the dynamics behavior of the Fourier coefficients.

为适应电力系统快速精确仿真和分析控制的需要，采用了一种新的建模方法—基于时变傅立叶级数的动态相量法，对电压源型直流输电进行建模和仿真。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The method includes steps: each point in sequence x with length L, i=0, 1, 2,apostrophe L-1 is served as a independent variable of k order polynomial; changing coefficient of polynomial to generate multiple sequence f with length L, where k is nonnegative integer; operation in polynomial is carried out in Galois Field GF, where Q=pm, p as a prime number, and m as nonnegative integer; assigning generated sequences to multiple sectors to set of create biased sequences for each sector; it is different in constant terms of polynomial, and identical to other coefficients of coefficients corresponding to sequence assigned to same sector; creating corresponding time - frequency pattern unit from biased sequences of the sector; repeating TFP unit with equal interval in frequency domain so as to obtain integrated TFP.

本发明涉及一种时频资源的分配方法，所述方法包括：把一个长度为L的序列{x，i＝0，1，2，…L-1}中的每一点作为一个k次多项式的自变量，改变多项式的系数生成多个长度为L的序列{f}，其中k是非负整数，多项式中的运算在伽罗华域GF中进行，其中Q＝p m ，p是一个素数，m是非负整数；把生成的序列分配给多个小区，生成各小区的偏置序列集合，其中分配给同一个小区的序列所对应的生成多项式的常数项不同，其他项的系数都相同；由所述小区的偏置序列生成对应的时频图案单元，将时频图案单元经过频域等间隔重复，得到完整的时频图案。

Firstly, a group of hyper-plane coefficients are solved using analytic method from one critical point. Then, the deflection is obtained according to the correlativity and other critical points' security information. Thus, the improved coefficients are achieved.

首先在一个临界注入点处通过解析法计算得到一组平面系数，然后根据相关性和其它临界注入点的安全性信息，得到该组系数与真实值之间的偏移值，最后得到该系数的改进值。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bone's radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the position of this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

This method uses K-L transform to produce matrix of sample aggregate, get a low dimension sub space to describe the wrist bones radiographs. Each image makes projection, and obtains one group of coordinate coefficients. The coefficients indicating the positionof this image in sub space can be discerned the image feature.

该方法通过对由中指骨组成的训练样本集的产生矩阵做K-L变换，用一个低维子空间来描述中指骨X光图像，每幅图像向其作投影，并获得一组坐标系数，这组系数表明了该图像在降维子空间中的位置，能较好地表征该幅图像的特征信息。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。