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  "body": "\n## Summary\n\nA function of several real variables is a [[function|0EPAT51DXQ]] $f \\colon D \\to \\mathbb{R}$ whose domain $D$ is a subset of [[Euclidean space|0XPR1E85W0]] $\\mathbb{R}^n$ for some $n \\ge 2$.\nIts value at a point $x = (x_1, \\dots, x_n)$ of $D$ is written $f(x)$ or $f(x_1, \\dots, x_n)$.\nExamples are $f(x, y) = x^2 + y^2$ on $\\mathbb{R}^2$ and $g(x, y, z) = xyz$ on $\\mathbb{R}^3$.\n\n## Remarks\n\nWhen the values lie in $\\mathbb{R}^m$ with $m \\ge 2$, the function is a [[vector-valued function|018GTRS7A4]] of several variables.\nThe domain is often an open subset of $\\mathbb{R}^n$, so that each point of the domain has a whole ball around it in the domain.\n\n## Explanations\n\n### L1 human\n\nA function of two variables takes two numbers and gives one number. An example is the height of a hill above the point $(x, y)$ of a map.\nEach input is now a point of the plane or of space, not a point of a line.\n",
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