查询词典 affine variety

In conic optimization one minimizes a linear objective function over the intersection of an affine space with a regular cone in finite dimension.

它指的是在一个仿射空间与一个正则锥的交集上，求线性目标函数的极小或极大值。

Linear constraint particle swarm optimization algorithm is a global optimization dealing with constraints of non-negative and affine real space.

粒子群算法虽有全局优化性能，但也会陷于局部极小，且缺少约束处理机制。

The main objects of study are algebraic varieties in an affine or projective space over an algebraically closed field; these are introduced in Chapter I, to establish a number of basic concepts and examples.

全书共分七章，前三章是基础知识部分；后四章是本书的核心部分，总结了近年来代数几何码的最新研究成果，并且包含了作者的一些尚未发表的结果。

The nonlinear mapping is realized by modelling the Local Generative units in the input space and a Global Affine transformation in the feature space.

这个非线性映射是由在输入空间中建立局部生成单元模型并且在特征空间中构建全局仿射变换来实现的。

Tetrahedron can be formed with four sequence and non-coplanar points in space,and any points in it can be represented by barycentric coordinate system with space affine transform.

给定空间不共面的四个有序数据点，可以形成一个四面体。

Keywords: Hecke algebra; quantum affine algebra; Fock space

中文关键词：黑克代数；量子仿射代数； Fock空间

Local invariant feature ; object recognition ; image matching ; image classification ; scale space ; affine invariant moment ; detector ; descriptor

吉林大学；刘萍萍局部不变性特征；物体识别；图像匹配；图像分类；尺度空间；仿射不变矩；检测子算法；描述子算法

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The self\|affine fractal surface model is introduced to the quantitative descriptions of random screens.

用自仿射分形表面模型对散射屏的统计特性进行了描述和拟合。

Random screen ; light scattering ; self\|affine fractal surface

随机散射屏；光散射；自仿射分形表面

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。