查询词典 one dimensional

We put forward an algorithm for self - discrimination of island relation and an automatic intersected method of the region machining unit , which can judge the relationship among any plane obturate contour line effectively and swiftly . we also study the tool path generation technology of two - dimensional machining , basso - relievo machining , three - dimensional lifting - pen machining . meanwhile , we put forward an optimize approach of tool path , which improve the efficiency of engraving

研究了图像的刀具路径生成技术与轨迹规划问题，提出了基于射线的岛屿关系自动判断和区域加工单元的自动分割方法，有效、快速地判断了平面任意封闭轮廓线之间的关系，研究了平面任意区域填充加工、浮雕加工、三维提笔加工的刀具路径生成的技术，提出了刀具路径优化方法，提高了雕刻加工的质量和效率。

The first is that a symplectic structure or a Poisson structure exists on the even dimensional phase space or on the odd dimensional phase space of the corresponding equations. The second is that there is another symplectic structure or another Poisson structure on the generalized phase space which consists of original phase space and independent variable space.

第一、系统在相空间上存在一个一般辛结构或者Poisson结构；第二、系统整体在包括了自变量的增广空间上存在一个一般辛结构或者Poisson结构；第三、第一个结构若是依赖于自变量，那么系统必然受到外力作用（偏微分方程也有特殊的情形，我们在第五章会加以说明），而第二个结构的则给出了第一个结构和外力之间确切的对称关系。

Let M~n(n≥3)be an n-dimensional complete noncompact oriented submanifold in an-dimensional Euclidean space R~.

他们还进一步证明：若M具有有限指标，则M上L~2调和1-形式空间的维数是有限的，且M仅有有限个端[35]。

In order to improve the query precision further, we employ the Singular Value Decomposition techniques to convert the high dimensional proximity vector space into low dimensional orthogonal concept space to match the documents more accurately.

为了进一步提高邻近关系模型特征表示的准确性，我们使用单值分解技术，将高维邻近关系空间转化为正交的低维特征语义空间，消除邻近关系的次要特征对信息检索精度的影响，进一步提高基于邻近关系模型的信息检索精度。

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。

The extended two-dimensional outer boundary of a three-dimensional object.

正方形是二维的，而正六面体则是三维的。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

In multi-dimensional information statistical graph expression,several common method is emphasized, includes parallel coordinates, scatter matrix,multi-dimensional scatter etc.

在多维信息统计图表达中强调了几种常用的方法，如平行坐标图、散点图矩阵、多维散点图等。

By means of estimates for three-dimensional discrete derivative Green's function , the theory of the interpolation operator of projection type and the technique of cancellation of elements, for several usual elements in the three-dimensional setting, including rectangular parallelepiped elements, tetrahedr.

借助三维离散导数Green函数的估计，投影型插值算子理论和单元合并技术，本文详细讨论了几种常用三维单元(包括长方体元，四面体元和三棱柱元)的有限元解梯度的最大模超逼近，均获得了高精度的超逼近结果。

The problem of huge numbers of datas are disposed in the process of disposed three-dimensional laser scanning datas, so on the base of carefully analszing the serial algorithm of plane segmentation and multiple datasets registration in the process of disposing three-dimensional laser scan datas, according to the method of parallel programming basing on MPI, the paper used the right means of datas distributing to design and realize the parrel algorithm of plane segmentation and multiple datasets registration.

本文针对三维激光扫描数据处理过程中所处理的数据量大这一问题，在认真分析了三维激光扫描数据处理过程中平面分割和多视点配准串行算法的基础上，根据基于MPI并行程序设计方法，采用合适的数据分配方案，设计了平面分割和多视点配准的并行算法，并给出了效果图，以及并行算法加速比和效率的实际数据，最后对并行算法效果进行了分析。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。