Betti number
- Betti number的基本解释
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连通数, 贝蒂数
- 相似词
- 更多 网络例句 与Betti number相关的网络例句 [注:此内容来源于网络,仅供参考]
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In chapter 2 we use harmonic 1-forms and discuss the relationship between an almost nonnegatively Ricci curved n-manifold with the first Betti number equal to n and a flat n-torus.
在第二章中我们利用调和1-形式研究了第一贝蒂数等于n且Ricci曲率几乎非负的n维黎曼流形和n维平坦环面之间的关系。
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In this paper, firstly, the embeddability of near-triangular graphs on the orientable surface is studied. By using Petersen's Theorem about 1-factor, we first prove that for a near-triangulation on the orientable surface, its geometry dual graph has a 1-factor; then after a procedure of operation leaded by the 1-factor, we show that if a graph G triangulates some orientable surface S_g, then G has a near-triangular embedding in S_h for h = g,g + 1,...,β(G/2」, where β is the Betti number of G. Hence we obtain a conclusion: A near-triangulation of the orientable surface is upper-embeddable. As a generalization, a class of near-quadrangulation is studied, and similar results are obtained.
本文首先研究了近三角剖分图的可定向曲面嵌入性质,通过运用Petersen关于1-因子的定理,首先证明了对于可定向曲面上的三角剖分图,其几何对偶图具有1-因子;然后在1-因子的导向下,通过做一系列增加亏格的手术,证明了如果一个图G三角剖分可定向曲面S_g,那么G可以近三角剖分可定向曲面S_h,这里h=g,g+1,…,「β(G/2」,β是指图G的Betti数,从而得出推论:可定向曲面上的三角剖分图是上可嵌入的,作为推广,又研究了一类近四角剖分图的可定向曲面嵌入性质,并得到类似的结论。
- 更多网络解释 与Betti number相关的网络解释 [注:此内容来源于网络,仅供参考]
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betti number:贝蒂数
betti group 贝蒂群 | betti number 贝蒂数 | between group variance 群间方差
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betti number:贝提数
"Bethe-Weizs cker cycle","贝特-外侧克循环" | "Betti number","贝提数" | "Betti reciprocal theorem","贝提逆定理"
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betti number:连通数
Betterton-Kroll process 贝特顿-克洛耳法 | Betti number 连通数 | betti reaction 贝蒂反应
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betti number:数
Betti群 Betti group | Betti数 Betti number | 中间性;介中性 betweenness
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Betti number","Betti:数
955,"Betti group","Betti群" | 956,"Betti number","Betti数" | 957,"betweenness","中间性;介中性"