Hausdorff content

短语

词形变化

Hausdorff contents 复数 Hausdorff contents

释义与例句

n.
  1. 1.

    the d-dimensional Hausdorff content of S is defined by C_Hᵈ(S):= lim _(sup ᵢr_i→0) inf Bigl ∑ᵢr_iᵈ:thereisacoverofSbyballswithradiir_i>0 Bigr.

    The d-dimensional Hausdorff content of a set is a measure of the size of that set in the dᵗʰ dimension.

    The 0-dimensional Hausdorff content of a set is the number of points in that set.