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  "body": "\n## Example\n\nOn the set $\\mathbb{R}$ of [[real numbers|08J2M1JYAG]], let\n$$d(x, y) = |x - y|,$$\nwhere $|\\cdot|$ is the [[absolute value|00S7C68D51]].\nThen $d$ is a [[metric|063W5JMY85]] on $\\mathbb{R}$.\nThe [[triangle inequality|03HF5PMY5T]] for real numbers gives the triangle inequality for $d$.\n\n## Remarks\n\nThe number $|x - y|$ is the absolute difference of $x$ and $y$.\nThis metric is the case $n = 1$ of the [[Euclidean metric|0E1MMCAY5B]].\nThe same formula with the [[modulus|0KW2X0TFBX]] gives a metric on the complex numbers.\n\n## Explanations\n\n### L1 human\n\nThe distance between two numbers is the length of the segment between them on the number line.\nFor example, the distance between $-2$ and $3$ is $|-2 - 3| = 5$.\n",
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