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- Omega_constant abstract "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".
- Omega_constant wikiPageID "408863".
- Omega_constant wikiPageRevisionID "598502851".
- Omega_constant hasPhotoCollection Omega_constant.
- Omega_constant title "Omega Constant".
- Omega_constant urlname "OmegaConstant".
- Omega_constant subject Category:Articles_containing_proofs.
- Omega_constant subject Category:Mathematical_constants.
- Omega_constant subject Category:Transcendental_numbers.
- Omega_constant type Abstraction100002137.
- Omega_constant type Cognition100023271.
- Omega_constant type ComplexNumber113729428.
- Omega_constant type Concept105835747.
- Omega_constant type Constant105858936.
- Omega_constant type Content105809192.
- Omega_constant type DefiniteQuantity113576101.
- Omega_constant type Idea105833840.
- Omega_constant type IrrationalNumber113730584.
- Omega_constant type MathematicalConstants.
- Omega_constant type Measure100033615.
- Omega_constant type Number113582013.
- Omega_constant type PsychologicalFeature100023100.
- Omega_constant type Quantity105855125.
- Omega_constant type RealNumber113729902.
- Omega_constant type TranscendentalNumber113730756.
- Omega_constant type TranscendentalNumbers.
- Omega_constant comment "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→∞.".
- Omega_constant label "Constante oméga".
- Omega_constant label "Costante Omega".
- Omega_constant label "Omega constant".
- Omega_constant label "Stała Omega".
- Omega_constant label "オメガ定数".
- Omega_constant label "欧米加常数".
- Omega_constant sameAs Constante_oméga.
- Omega_constant sameAs Costante_Omega.
- Omega_constant sameAs オメガ定数.
- Omega_constant sameAs Stała_Omega.
- Omega_constant sameAs m.024tcb.
- Omega_constant sameAs Q2291098.
- Omega_constant sameAs Q2291098.
- Omega_constant sameAs Omega_constant.
- Omega_constant wasDerivedFrom Omega_constant?oldid=598502851.
- Omega_constant isPrimaryTopicOf Omega_constant.