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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

The M- radical of V is determined and a criterion for irreducibility of an admissble module for an arbitrary vertex operator superalgebra V is given.

设V是一个顶点算子超代数,M是一个可容许的V-模。刻划了V的M-根,并给出了一个可容许V-模不可约性的差别准则

Acetabular posterior wall was started from top of acetabulum to the junction of acetabular posterior wall and ischium. This area was equally divided into two parts: part A-superior, part B-inferior.

分组:髋臼后壁范围为从髋臼顶点至髋臼后壁与坐骨枝相交处,将其等分为两部分,上部为A区,下部为B区。

The original edge operations of graph rotation system can not change the number of vertices of a solid. In order to complement this disadvantage, we use the isolated point to extend the edge operations.

针对原有图形旋转系统的边操作不能改变顶点数量的缺点,利用孤点操作来扩展了边操作。

In this paper a new necessary and sufficient condition of graphic isomorphism is proved which is stated as following: two graphs are isomorphic if and only if their subgraphs are isomorphic and the new vertices as well as their adjancy edges are corresponding with the property of isomorphism.

提出了一个新的判定图同构的充分必要条件,即在子图同构的前提下,根据新增顶点及相应关联边的关系,判断母图同构的充分必要条件。

This vertex refinement method can be used in graph isomorphism algorithms to reduce the number of mapping between the vertexes.

基于路径数的顶点分类方法可以有效地用于图同构算法,能够降低所需比较的顶点数,达到快速搜索的效果。

Isosceles triangle: move the yellow dot on one vertex to modify the triangle type.

等腰三角形:移动顶点上的黄点修改三角形类型。

It was found to be a converging process jolting and bouncing between the knowledge database and

透过从v-dot图的历程纪录,我们检视团队成员从顶点到底点之过程,在不断碰撞之中进行收敛,这些碰撞是新手的新理解,这篇文章在identify这样的碰撞事件。

Extreme vertices method was employed to design diamond bit matrix formulation experiments in order to systematically study the effect law of matrix composition on matrix mechanical performances.

为了系统研究铁基金刚石钻头胎体配方组成对胎体机械性能的影响规律,本文采用极端顶点法设计胎体配方试验。

After introducing the primary approximation approaches for curve and surface offset, we give an optimal approximation approach for offsetting curve based on shifting control points, which relies on approximating the normal by Legendre polynomial approximation.

在全面介绍了等距曲线曲面逼近的主要方法以后,作者首先利用Legendre多项式得到基曲线法矢曲线的最佳平方逼近,由此给出了基于控制顶点偏移的等距曲线最优逼近的算法,它在算法效果和效率上都远优于其他同类算法。

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She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了,但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场,你等着挨绳子吧!

Several theories about reigniting and extinguishing of the arc have been refered.

本文综合考虑了几种电弧重燃和熄灭理论。