Science Fair Project Encyclopedia
Omega constant
The Omega constant is the value of W(1) where W is Lambert's W function. The name is derived from the alternate name for Lambert's W function, viz., the Omega function.
The constant, Ω, is approximately 0.5671. It has properties that are akin to those of the golden ratio, in that
- e - Ω = Ω
or equivalently,
- ln(1 / Ω) = Ω.
One can calculate Ω iteratively, by starting with an initial guess Ω0, and considering the sequence
This sequence will converge towards Ω as n→∞.
09-23-2007 01:00:40
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details