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Omega (US: / oʊ ˈ m eɪ ɡ ə,-ˈ m ɛ ɡ ə,-ˈ m iː ɡ ə /, UK: / ˈ oʊ m ɪ ɡ ə /; [1] uppercase Ω, lowercase ω; Ancient Greek ὦ, later ὦ μέγα, Modern Greek ωμέγα) is the twenty-fourth and last letter in the Greek alphabet.
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 ω 1 {\displaystyle \omega _{1}} (also written as Ω)
The absolute infinite (symbol: Ω), in context often called "absolute", is an extension of the idea of infinity proposed by mathematician Georg Cantor.It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite.
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 considered a related problem in 1758.
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The symbol ϕ (U+03D5) is designated specifically for the closed form, used as a technical symbol. The letter omega has at least three stylistic variants of its capital form. The standard is the "open omega" (Ω), resembling an open partial circle with the opening downward and the ends curled outward.
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 Lambert's W function .
In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as the angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.