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By using in a sequence the eigen-decomposition,a permutation,the inverse discrete Fourier transformand a truncation on the matrix,an exact and explicit parametrization formula for Loop subdivision surfaces is proposed.

利用控制网格拓扑结构的对称性，通过将奇异点周围1-环和2-环的控制顶点进行离散Fourier变换得到分块对角阵，将其进行特征分解及排序之后，再通过离散Fourier逆变换和截断等操作得到细分矩阵的高次幂的表达式，从而得到Loop 细分曲面新的精确参数化公式

By using the matrix positive definite decomposition, matrix singular value decomposition generalized inverse theorem, and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.

通过利用矩阵正定分解，矩阵的奇异值分解，解线性矩阵不等式和广义逆定理，根据一些自由参数所希望设计的观测器然后被导出。

By using the algebraic method, we obtain a new formula for the expected hitting time of random walks on strong-connected and aperiodic digrahs (irreducible and aperiodic Markov chain). From this formula, we obtain the explicit expressions for the expected hitting times of random walks on directed de Bruijn graph, directed Kautz graph and some graphs constructed from strong regular graph, etc.

利用代数方法给出了强连通非周期有向图上随机游动（即不可约非周期马尔可夫链）平均首达时间一个新的表达式，并利用这个表达式得到了有向de Bruijn图，有向Kautz图以及和强正则图相关的几类图上随机游动任意两点之间的平均首达时间。

Implicit learning is a unconscious process which produces pure knowledge and runs parallel with explicit learning way,namely learners unconsciously grasp some mutative rules behind irritative environment,but they cannot accordingly realize what they acquire.

内隐学习是一种产生抽象知识、平行于外显学习方式的无意识过程，也就是指学习者无意识地掌握刺激环境中的某些变化规则，却没有伴随着相应的对所获知识的觉察。

Relevant theory is derived and explicit conditions for directly determining the isoclinic parameter in the range of [0—π/2] are given.

在综合前人工作的基础上，提出获得全场单纯的等倾角相图的五步彩色相移法。

For H-type groups, explicit equations of shortest sub-Riemannian geodesies and a full characterization of the sub-Riemannian isometry groups are given in this dissertation.

对广义的Heisenberg群，本论文给出了最短次黎曼测地线的明确表达方程，并完全刻画了次黎曼等距群。

A KBS is a software application with an explicit, declarative de script ion of knowledge for a certain application.

KBS是一个显性的，为某个特定应用知识的申明性描述的软件应用。

In fact, it has been claimed and proved by Dahlquist and Krieg that there does not exist any second-order accurate, unconditionally stable explicit method with in the class of linear multi-step integration methods.

事实上，学者Dahlquist和Krieg曾提出并且证明在多步的逐步积分法中具有二阶精确度的无条件稳定外显式积分法是不存在的。

Contract for to conduct the current law system lawmaking present condition, our country to contract for the current the system analysis and our system for this text three investigated the our country completely in the juridical blemish the system present condition to combine to put forward on this foundation perfect our system: While is collective representative- collective economys organization of the landholding power corpus of explicit assurance.

为此本文从我国农村土地承包经营权法律制度立法现状、我国现行的农村土地承包经营权制度的法律分析以及我国现行的农村土地承包经营权制度在法律上的缺陷三个方面全面考察了我国农村土地承包经营权法律制度现状并在此基础上提出了完善我国农村土地承包经营权制度的基本思路：一是明确确定集体土地所有权主体的代表——集体经济组织。

Langham Hotels International accepts no responsibility for the use of this document without its explicit written agreement.

除非另有明确的书面协议，朗廷酒店集团将不承担因使用此文件而造成的任何责任。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。