The omega constant is a mathematical constant defined by It 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, the omega function.The value of Ω is approximately 0.5671432904097838729999686622... (sequence A030178 in OEIS). It has properties that or equivalently,One can calculate Ω iteratively, by starting with an initial guess Ω0, and considering the sequenceThis sequence will converge towards Ω as n→∞.

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  • The omega constant is a mathematical constant defined by It 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, the omega function.The value of Ω is approximately 0.5671432904097838729999686622... (sequence A030178 in OEIS). It has properties that or equivalently,One can calculate Ω iteratively, by starting with an initial guess Ω0, and considering the sequenceThis sequence will converge towards Ω as n→∞. This convergence is due to the fact that Ω is an attractive fixed point of the function e−x.It is much more efficient to use the iterationbecause the functionhas the same fixed point but features a zero derivative at this fixed point, therefore the convergence is quadratic (the number of correct digits is roughly doubled with each iteration).A beautiful identity due to Victor Adamchik is given by the relationship
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  • The omega constant is a mathematical constant defined by It 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, the omega function.The value of Ω is approximately 0.5671432904097838729999686622... (sequence A030178 in OEIS). It has properties that or equivalently,One can calculate Ω iteratively, by starting with an initial guess Ω0, and considering the sequenceThis sequence will converge towards Ω as n→∞.
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  • Constante oméga
  • Costante Omega
  • Omega Sabiti
  • Omega constant
  • Stała Omega
  • オメガ定数
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