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  "body": "\n## Summary\n\nDenotes the first limit ordinal. It is also denoted $\\omega_0$ and can be identified with the ordered set of the [[natural numbers|0MWKJ44V5A]].\n\nWith an [[ordinal|0RDJK7EQYY]] $i$ as a subscript, denotes the initial ordinal related to the $i$th aleph number.\n\nIn computer science, denotes the (unknown) greatest lower bound for the exponent of the computational complexity of [[matrix multiplication|032Q9FB8MT]].\n\nWritten as a [[function|0EPAT51DXQ]] of another function, it is used for comparing the asymptotic growth of two functions. See Big O notation § Related asymptotic notations.\n\nIn number theory, may denote the prime omega function. That is, $\\omega(n)$ is the number of distinct prime factors of the integer $n$.\n",
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