Betti number
- Betti number的基本解释
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连通数, 贝蒂数
- 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。
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Hausdorff convergence; almost nonnegative Ricci curvature; Betti number; harmonic 1-form; nilpotency; splitting theorem; positive sectional curvature; gradient curve
基础科学，数学，几何、拓扑Hausdorff收敛；几乎非负Ricci曲率；贝蒂数；调和1-形式；幂零指标；分裂定理；正截面曲率；梯度曲线
- 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"