differentiable manifold

短语

词形变化

differentiable manifolds 复数 differentiable manifolds

别名

differential manifold

释义与例句

n.
  1. 1.

    A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;

    The charts (homeomorphisms) that make up any differentiable structure of a differentiable manifold are required to be such that the transition from one to another is differentiable.

  2. 2.

    A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus; (more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).

    a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).