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  "body": "\n## Summary\n\nA Lebesgue–Stieltjes measure is a measure on the real line built from a non-decreasing, right-continuous function $F$, so that the interval $(a, b]$ gets measure $F(b) - F(a)$.\nEvery locally finite Borel measure on $\\R$ arises this way.\nFor $F(x) = x$ it is Lebesgue measure, and for the distribution function of a random variable it is the law of that variable.\nIntegration against it is Lebesgue–Stieltjes integration, which extends the Riemann–Stieltjes integral.\n\n## Explanations\n\n### L1 human\n\nThink of $F(x)$ as the total mass lying to the left of $x$ on a line.\nThen the mass of the interval $(a, b]$ is $F(b) - F(a)$.\nWhere $F$ grows fast, there is a lot of mass, and where $F$ jumps, there is a point mass equal to the jump.\nFor example, if $F(x) = 0$ for $x \u003c 0$ and $F(x) = 1$ for $x \\ge 0$, the measure is a single unit mass at $0$.\n",
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