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  "body": "\n## Summary\n\nAn atom of a measure is a measurable set of positive measure that cannot be split into two parts of positive measure.\nA measure is non-atomic, or atomless, if it has no atoms.\nNon-atomic measures can be divided finely: by Sierpiński's theorem, a set of finite measure $m$ has subsets of every measure between $0$ and $m$.\n\n## Explanations\n\n### L1 human\n\nAn atom is a lump of mass that cannot be split.\nA point mass, such as the Dirac measure at a point, is one big atom.\nLength on the real line has no atoms: any set of positive length can be cut into two pieces of positive length.\nA non-atomic measure is spread out like sand, not concentrated in lumps.\n",
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