internal geometry
内蕴几何
频率: 4.00.6 每百万词
The intrinsic properties of a surface or manifold, independent of its embedding in space.
曲面或流形的内在属性,与其在空间中的嵌入方式无关。
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例句 (10)
internal geometry = 内蕴几何 (曲面或流形的内在属性,与其在空间中的嵌入方式无关。)
- In differential geometry class, we study the internal geometry of surfaces independent of how they're bent in space.在微分几何课上,我们研究曲面的内在几何,与其在空间中的弯曲方式无关。
- Gauss proved that curvature is determined solely by a surface's internal geometry.高斯证明曲率完全由曲面的内在几何决定。
- Physicists often talk about spacetime's internal geometry rather than its visualization in higher dimensions.物理学家们常常讨论时空的内在几何,而非其在高维中的可视化。
- By reparameterizing the sphere, we didn't change its internal geometry.通过重新参数化球面,我们并没有改变它的内在几何。
- Two isometric embeddings share the same internal geometry.两个等距嵌入具有相同的内在几何。
- The theorem characterizes manifolds by their internal geometry, not by how they sit in Euclidean space.该定理根据流形的内在几何来刻画它们,而不是根据它们在欧氏空间中的位置。
- We measured distances along the surface to capture its internal geometry.我们沿着曲面测量距离,以刻画其内在几何。
- Historically, non-Euclidean results arose from questioning the plane's internal geometry.历史上,非欧几何的成果源于对平面内在几何的质疑。
- Her paper models defects that distort the crystal's internal geometry without changing its boundary.她的论文对会扭曲晶体内在几何而不改变其边界的缺陷进行了建模。
- Has the metric changed, or is the internal geometry essentially the same?度量变了吗,还是内在几何本质上相同?