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The mixed graph model is the consequence of a series of precise vertex decomposition applied to the digraph representation of a floorplan.

混合图是对表示布局的有向图进行一系列精确的顶点分解而产生的。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orbifold T〓/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T〓/G上的投影算子完备集。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orb-ifold T2N/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T~(2N)／G上的投影算子完备集。

The Thai scholar Pandit Chanaronasakit has studied the role of the diorama in the representation of Siamese culture in world exhibitions and universal expositions and concludes that the said tableau indexes the anxiety of Thailand as an "archaic and exotic nation."

泰国学者 Pandit Chanaronasakit 在世博会上曾经研究过立体模型在暹罗文化中所代表的意义，从而总结出一个极具戏剧性的结论，泰国是一个古老的具有异国风情的国家。

This method is the direct application of the displacement representation theorem.

这种方法是位移表示定理的直接应用。

For every ULA, the wide-band signals are sampled in spatial and temporal, then 2-D discrete Fourier transform is carried out. A projection operation on 2-D representation of wide-band signals is applied in the spatial-temporal frequency domain. The direction cosine relative to the ULA axes is estimated by MUSIC algorithm.

该方法采用3个共面的均匀线阵，每一均匀线阵对宽带信号空间采样，然后进行空时二维DFT变换，在空时频率域对宽带信号进行投影变换，用MUSIC算法实现宽带来波信号方向余弦的估计。

The eigenvalues and eigenfunctions of Laplacian with Dirichlet boundary condition on equilateral triangles are derived from one dimensional representation of D3 group.

由D3群一维表示，得到了正三角形上满足Dirichlet边界条件拉普拉斯算子的本征值和本征函数，并讨论了本征函数的对称性。

For the stochasic representation is still correct over unbounded domains, this method can also solve the exterior Dirichlet problem.

另外，由于在无界区域上解的随机表达式也是成立的，因而可以用来解决Dirichlet外问题。

That is, formally speaking, a representation or encoding over an alphabet ∑ of a set D is a function f from D to 2^∑* that satisfies the following condition: f(e1) and f(e2) are disjoint nonempty sets 不相交的非空子集 for each pair of distinct elements e1 and e2 in D.

形式地说，对信息对象集合 D 进行基于字母表∑的物化或编码是从 D 到 2^∑*的函数 f，并且函数 f 满足以下条件：对于 D 内任一对不相同的元素 e1 和 e2，f(e1)和 f(e2)是不相交的非空子集。

The Halo, also called Nimbus, in art, is a radiant circle or disk surrounding the head of a holy person, a representation of spiritual character through the symbolism of light.

最后一战，也称为灵气，在艺术，是一个辐射圈或磁盘周边率领一个神圣的人，一个代表性的精神品格，是通过象征光明的。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。