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  "body": "\n## Summary\n\nThe Wright omega function $\\omega$ is a single-valued function built from the branches of the [[Lambert W function|FW2JKAN14B]].\nIt is $\\omega(z) = W_{K(z)}(e^z)$, where the unwinding number $K(z)$ picks the branch.\nIt solves the equation $\\omega + \\ln \\omega = z$ for all $z$ off two horizontal half-lines.\nOn the real line it is the unique real solution of this equation.\nIt is convenient in computer algebra because it avoids the choice of a branch.\n\n## Explanations\n\n### L1 human\n\nThe Lambert W function has many branches, and it is easy to pick the wrong one.\nThe Wright omega function packages the right branch for the input $e^z$ into one function of $z$.\nOn the real line it is simple: $\\omega(x)$ is the positive number $y$ with $y + \\ln y = x$.\nFor example, $\\omega(1) = 1$ because $1 + \\ln 1 = 1$.\n",
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