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  "body": "\n## Summary\n\nThe Mikusiński field of operators is the [[field of fractions|0F2PTGX1A2]] of the ring of continuous functions on $[0, \\infty)$ under addition and [[convolution on the half-line|FCKX8KFVGN]].\nIt exists because this ring has [[no zero divisors|E9QNNPQD2P]].\nIts elements are called operators.\nThey include all such functions, all complex numbers, the Dirac delta as the unit $1$, and the differentiation operator $s$, the inverse of integration.\n\n## Explanations\n\n### L1 human\n\nThe rational numbers are built from the integers by allowing fractions $a/b$.\nIn the same way, Mikusiński built a field from continuous functions, with convolution as multiplication, by allowing fractions $f/g$.\nIntegration from $0$ is convolution with the constant function $1$, called $l$.\nIts reciprocal $s = 1/l$ is not a function, but in this field it behaves like differentiation.\n",
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