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  "body": "\n## Summary\n\nThe $s$-dimensional Hausdorff content of a set is the least total of the $s$-th powers of the diameters of countable covers of the set.\nUnlike the [[Hausdorff measure|Q1TGZK8RN6]], it allows covers by sets of any size.\nIt is an [[outer measure|BJ314H17HC]] that is usually not additive, but it has the same null sets as the Hausdorff measure.\nSo it can be used to compute [[Hausdorff dimension|SSNFTHZ6YJ]], and it is easier to estimate.\n\n## Explanations\n\n### L1 human\n\nTo estimate the $s$-dimensional size of a set, cover it with countably many pieces and add up each diameter raised to the power $s$.\nThe Hausdorff content is the smallest total that one can reach.\nFor a segment of length $1$ and $s = 1$ it is $1$.\nFor a filled unit square and $s = 1$ it is at most $\\sqrt 2$, the diameter of the square, although the square has infinite length.\nThis shows that the content does not see fine structure, but it still sees whether a set is negligible.\n",
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