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Finally,the generalized Euler eigenvalue and the generalized Gauss Bonnet Theorem and the generalized Euler's formula are given to polyhedra. 最后给出多面体的广义欧拉特征值、广义 Gauss- Bonnet定理及广义欧拉公式 .;这些理论和方法;共同构成实体模型边界表示的拓扑与几何一致性检验的有效工具
Secondly,a strict definition is given to polyhedra,and the conditions are given for applying Euler's formula and Gauss Bonnet Theorem to polyhedra. 对多面体进行严格的定义 ;给出欧拉公式及 Gauss- Bonnet定理对多面体的应用条件 .
Finally a confor-mal invariability of norm integrate of the second fundamental form was obtained by using the Conformal invariability of the total mean curvature of the surface in E3 and the Gauss Bonnet theorem. 最后利用E~3中曲面的全中曲率的共形不变性以及Gauss Bonnet定理,得到了第二基本形式模方积分的共形不变性。
The little girl wears a red bonnet. 那小女孩戴着一顶小红帽。
He has a bee in his bonnet about health foods. 他对于保健食品有他自己的一套奇怪的看法。
Winning the medal was a feather in his bonnet. 获得奖章是他的荣誉。
In a lilac sun bonnet she was it. 她戴着一顶紫色遮阳帽，漂亮极了。
My brother have a bee in his bonnet about modern art. 我弟弟对现代艺术有一套奇怪固执的念头。
The poke of her black bonnet hide her face from him. 她那黑色帽子的前沿遮住了她的脸，使他看不见。
A large bonnet having a projecting brim. 宽前檐女帽：有突出帽沿的一顶大的女帽
Our teacher has a bee in his bonnet about punctuation. 我们的老师没完没了地琢磨著标点符号。
I've splayed the bonnet, but the marks and scratches show through the paint. 我已把引擎盖喷了漆，但一些印痕透过油漆仍隐约可见。
Let us restate the assertions above as a theorem. 我们把上述的断言重新表述为一个定理。
He has the presidential bee in his bonnet. 他想当总统想得入了迷。
The boy has the presidential bee in his bonnet. 这男孩一心一意想当总统。
The second proof of Theorem 26 is due to James. 定理26的第二个证明属于詹姆斯。
Could you straighten out the bonnet? 你能不能修好这个罩子?
Theorem g is called binomial theorem. 定理g称为二项式定理。
Non-plugging bonnet and throttle orifice. 无堵塞阀帽和节流孔。
This completes the proof of the convexity theorem. 这就完成了凸定理的证明。