有限基

On the basis of Ohm's and Kirchhoff's law, The mathematic model that can be used to caluculate the 3—D current distribution in alumina reduction cell was derived, and the computer program was compiled by finite differential method.

根据欧姆定律和基尔霍夫定律，用有限差分法导出了求解铝电解槽内三维电流分布的数学模型，编制了计算程序，在国内首次较准确地计算了铝电解槽内三。。。

The first one is integrated by the least squares and the radical basis function interpolation, which is aimed to the slight nonlinear sensors, and under the limited increament of computation, it can make the results more precise. The second is used for serious nonlinearity and based on the moving least squares which converts the approximation generally into locally, and the result of this way is also satisfied.

对于不是特别严重的非线性，采用最小二乘拟合与径向基函数残差插值进行融合重构，可以在增加有限计算量条件下提高数据的近似精度；对于非线性较严重的传感器，为兼顾局部特性，采用移动最小二乘法进行数据重构，它通过全局近似向局部近似的转化，同样使重构结果具有满意的近似精度。

For the linear problem, the linearity of the problem is also well preserved in the merit functions. The global convergence, local superlinear or quadratic convergence and finite convergence for linear problems of the proposed algorithms are also obtained under conditions as above or even weaker.

基此构造的互补和混合互补问题的算法，均具备在前述条件或比其更弱条件下的全局收敛性、局部超线性或二次收敛率以及在线性情形下的有限步收敛性。

From the point of vertical interconnect via, the matrix pencil moment method, FDTD, edge-element FEM, microwave network model method and CAD model method of vertical via interconnect were introduced. The analysis of these methods shows their advantages and shortcomings.

从垂直互连通孔入手，介绍了垂直通孔互连的矩阵束矩量法、时域有限差分法、边基有限元法以及微波网络模型法和CAD模型法，分析了这些方法已经取得的结果，并指出了这些方法的优缺点。

To enhance performance of traditional filters, an improved filter is proposed using orthonormal basis functions.

针对有限脉冲响应滤波器和无限脉冲响应滤波器的缺点，该文提出一种正交基自适应滤波器。

On the foundation of the conception of orthonormal basis in finite dimensional Euclidean space,this paper provides the theory of completely orthonormal system in infinite dimensional Euclidean space.

从有限维欧氏空间的标准正交基概念出发，构建了无限维欧氏空间的完全规范正交系理论。

Finite dimensional euclidean spaces Scalar products, norms, orthonormal basis and orthonormalization.

有限维欧几里德空间标量的产品，规范，标准正交基和正交化。

Firstly, a two-dimension tensor product space is constructed, in which reproducing kernel exists. Secondly a multiresolution analysis is constructed in the reproducing kernel space. Then an orthonormal basis in is obtained. Thus,the reproducing kernel space can be expressed by wavelets spaces. Wavelets approximation formula and sampling formula can also be obtained in the space. Besides, the wavelets approximation formula is simple and easy for calculation. That completes the theory of multiresolution analysis in finite interval fully and provides theoretical base and algorithm for application.

首先，构造二维张量积空间，并证明该空间具有再生核；其次在再生核空间中，建立多尺度分析，获得该空间的一个标准正交基，使得再生核空间可以由小波空间来刻画，进而得到小波级数和相应的采样公式，而且给出的小波级数形式简单易于数值分析，进一步完善了有限区间上的多尺度分析方法，也为实际应用提供了良好的理论基础和算法。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

They are only limited base material, that is, paper and plate, can be used in packaging business card printing and membership card making good applications.

它们只适用于有限的底基材料，即纸与板材，可在包装制卡和会员卡制作方面得到理想的应用。

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。