Also known as surface (topology), 2-manifold, topological surface
two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space
A surface is a two-dimensional shape or space, like the face of a sphere or a curved sheet of paper. Surfaces matter because they help mathematicians and scientists describe and understand the properties of objects and spaces, including both everyday shapes and more abstract mathematical structures that don't necessarily exist in physical space.
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曲(qū)面(curved surface,surface)是实体的边缘或空间中的曲线依某特定条件运动所形成的轨迹,例如球面、圆柱面、圆锥面等。 在数学(拓扑学)中,一个曲面(surface)是一个二维流形。三维空间中的例子有三维实心物体的边界。流体的表面,例如雨滴或肥皂泡是一种理想化的曲面。关于雪花的表面,它有很多精细的结构,超越了这个简单的数学定义。关于实际的曲面的资料,请参看表面张力,表面化学,。
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).