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  2. Lambert W function - Wikipedia

    en.wikipedia.org/wiki/Lambert_W_function

    In mathematics, the Lambert W function, also called the omega function or product logarithm, [1] is a multivalued function, namely the branches of the converse relation of the function f(w) = we w, where w is any complex number and e w is the exponential function. The function is named after Johann Lambert, who

  3. Omega function - Wikipedia

    en.wikipedia.org/wiki/Big_Omega_function

    In mathematics, omega function refers to a function using the Greek letter omega, written ω or Ω. (big omega) may refer to: The lower bound in Big O notation, (), meaning that the function dominates in some limit

  4. Prime omega function - Wikipedia

    en.wikipedia.org/wiki/Prime_omega_function

    In number theory, the prime omega functions and () count the number of prime factors of a natural number . Thereby (little omega) counts each distinct prime factor, whereas the related function () (big omega) counts the total number of prime factors of , honoring their multiplicity (see arithmetic function).

  5. Omega constant - Wikipedia

    en.wikipedia.org/wiki/Omega_constant

    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 alternate name for Lambert's W function, the omega function.

  6. Wright omega function - Wikipedia

    en.wikipedia.org/wiki/Wright_Omega_Function

    The Wright omega function along part of the real axis. In mathematics, the Wright omega function or Wright function, [note 1] denoted ω, is defined in terms of the Lambert W function as: = ⌈ ⌉ ().

  7. Omega ratio - Wikipedia

    en.wikipedia.org/wiki/Omega_ratio

    The standard form of the Omega ratio is a non-convex function, but it is possible to optimize a transformed version using linear programming. [4] To begin with, Kapsos et al. show that the Omega ratio of a portfolio is: = ⁡ ⁡ [() +] + The optimization problem that maximizes the Omega ratio is given by: ⁡ ⁡ [() +], ⁡ (), =, The objective function is non-convex, so several ...

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  9. Greek letters used in mathematics, science, and engineering

    en.wikipedia.org/wiki/Greek_letters_used_in...

    the arithmetic function counting a number's distinct prime factors; the symbol ϖ, a graphic variant of π, is sometimes construed as omega with a bar over it; see π; the unsaturated fats nomenclature in biochemistry (e.g. ω−3 fatty acids) the first uncountable ordinal (also written as Ω)