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We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念,证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1,…, fs)(f1=0,…, fs=0表示s个代数超曲面)上的维数,并利用倒差分算子给出一个方便计算的表达式;构造了沿代数流形上插值适定结点组的叠加插值法;证明了在充分相交的代数流形上任意次插值适定结点组的存在性;给出代数流形上插值适定结点组的性质和判定条件。

Then interpolating cubature formulae is given based on Lagrange interpolation formulae. Secondly it make use of the cubature formula on the triangle to construct cubature formulae on the correspondent spherical triangle.

通过把其定义域上的积分化为平面单纯形{u =(u1, u2, u3): u1 + u2 + u3 = 1, u1, u2, u3〉0}上的积分,然后利用平面单纯形上数值积分公式给出其在球面三角形上的对d次齐次多项式精确成立的Gauss求积公式的构造方法。

Prange first began to study cyclic codes over finite field in 1957 and Berkelamp first began to investigate negacyclic codes over finite field in 1968,but the codes over finite rings didnt received much attention until the 1990s due to the works of Nechaev in 1991 and Hammons in 1994,which showed that well-known nonlinear codes such as Kerdock and Preparata codes are constructed from linear codes over finite rings.

Prange(1957)和Berkelamp(1968)分别首先开始研究有限域上的循环码和负循环码,直到上世纪90年代,Nechaev(1991)和Hammons(1994)通过有限环上的线性码构造出著名的非线性码如Kerdock码和Preparata码,有限环上的码才受到广泛关注。

The problem of Lagrange interpolation of polynomial space in space Rs is studied,and the construction of Lagrange interpolation polynomial in space R1 and space R2 is proposed.

研究空间Rs 中多项式空间中的Lagrange插值问题。给出了R1和R2上Lagrange插值多项式的构造,同时,给出了R2上插值问题的几个例子。另外,给出了矩形网点上的Lagrange插值多项式和三角形网点上的Lagrange插值多项式。讨论了Rs空间中的Lagrange插值多项式及其余项

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分,目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等;在人脸特征提取部分,可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征,另外也可以借助于数学变换,求取人脸图像的一些代数特征,如对图像进行奇异值分解,以奇异值代表图象的特征,或对图像进行K-L变换,以图像在构造的特征空间上的投影系数作为图像的特征等;在识别部分,可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度,还可以通过神经网络方法进行人脸的识别。

The relative movement and thickness difference between the overburden and the subsalt were responsible for the disharmony of culminations in the two layers.

盐上沿盐层的滑脱和盐上、盐下层的厚度变化决定了盐上、盐下构造高点的不对应。

An opening in the surface of a structure, as in a membrane .

薄膜开口一种在构造表面上的开口,如在薄膜上

DBS in structural evolution. Axial plane cleavages and fracture cleavages that represent the major strong deformation period of the S.

南北大巴在变形时间上相关,显示南北大巴在构造变形上的耦合性。

Based on the research of development characteristics of overthrust fault, its sealing mechanism is ana- lyzed. The evaluation standard and method for sealing ability of fault is established through the following two simulation experiment: one experiment is ,the quantitative relationship between property of filler in fault zone and sealing ability of fault , another experiment is the deformation characteristics of gymsum. By evaluating sealing ability of overthrust faults on several typical structure in Kuche ression,its considered that most cur- rent faults are sealed.

本文通过逆掩断层发育特征研究,分析了逆掩断层封闭机理,在断裂带填充物性质与断层封闭性定量关系模拟实验和膏泥岩变形特征模拟实验基础上建立了断层封闭性评价标准及评价方法,以此对库车坳陷几个典型构造上逆掩断层垂向封闭性进行了评价,结果表明现今断层多是封闭的。

Rooftops which have not the top of the structure, usage up and legislation of independence, can not be the object of condominium ownership by itself, and not have parts of ability independence important item particularly of the owners on the toplevel.

屋顶平台不具有构造上、使用上和法律上的独立性,不能单独成为建筑物区分所有权的客体,同时,屋顶平台也不属于顶层业主区分所有权效力所及的范围。

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