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ℵ 0 (aleph-nought, aleph-zero, or aleph-null) is the cardinality of the set of all natural numbers, and is an infinite cardinal.The set of all finite ordinals, called ω or ω 0 (where ω is the lowercase Greek letter omega), has cardinality ℵ 0.
This more general definition allows us to define an ordinal number (omega) to be the least element that is greater than every natural number, along with ordinal numbers + , + , etc., which are even greater than .
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) the clique number (number of vertices in a maximum clique) of a graph in graph theory
The first written record of the phrase "alpha and omega" is from some old manuscripts of the Christian New Testament.. The phrase "I am the Alpha and the Omega" (Koiné Greek: ἐγώ εἰμί τὸ Ἄλφα καὶ τὸ Ὦ), is an appellation of Jesus and of the Father in the Book of Revelation (verses 1:8, 21:6, and 22:13).
In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BC, the Ionic-based Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard throughout the Greek-speaking world [6] and is the version that is still used for Greek writing today.
Cantor said: The actual infinite was distinguished by three relations: first, as it is realized in the supreme perfection, in the completely independent, extra worldly existence, in Deo, where I call it absolute infinite or simply absolute; second to the extent that it is represented in the dependent, creatural world; third as it can be conceived in abstracto in thought as a mathematical ...
In physics, angular acceleration (symbol α, alpha) is the time rate of change of angular velocity.Following the two types of angular velocity, spin angular velocity and orbital angular velocity, the respective types of angular acceleration are: spin angular acceleration, involving a rigid body about an axis of rotation intersecting the body's centroid; and orbital angular acceleration ...
In mathematics, the first uncountable ordinal, traditionally denoted by or sometimes by , is the smallest ordinal number that, considered as a set, is uncountable.It is the supremum (least upper bound) of all countable ordinals.