The omega constant is a mathematical constant defined as the unique real number that satisfies the equation It is the value of W(1), where W is Lambert's W function.

Dec 3, 2025 · It is available in the Wolfram Language using the function ProductLog [1]. W (1) can be considered a sort of "golden ratio" for exponentials since exp [-W (1)]=W (1), (2) giving ln [1/ (W …

Feb 6, 2021 · Definition The omega constant $\Omega$ is the constant as the value of the principal branch of the Lambert W function at $1$: $\Omega \, e^ \Omega = 1$ That is, it is the root of the …

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).

The omega constant is a mathematical constant defined as the unique real number that satisfies the equation It is the value of W (1), where W is Lambert's W function. The name is derived from the …

Transcendence The constant is transcendental. This can be seen as a direct consequence of the Lindemann–Weierstrass theorem. For a contradiction, suppose that is algebraic. By the theorem, is …

The omega constant is a mathematical constant defined as the unique real number that satisfies the equation \ [ \Omega e^ {\Omega} = 1 \] It is the value of W (1), where W is Lambert's W function. The …

Dec 3, 2024 · Ω e Ω = 1. 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 …

The omega constant is a mathematical constant defined as the unique real number that satisfies the equation Ω e Ω = 1. {\displaystyle \Omega e^ {\Omega }=1.} It is the value of W(1), where W is …

The omega constant is a mathematical constant defined as the unique real number that satisfies the equation Ω e Ω = 1. {\displaystyle \Omega e^ {\Omega }=1.} It is the value of W(1), where W is …