Omega
Omega (majuscule: Ω, minuscule: ω; Greek Ωμέγα) is the 24th and last letter of the Greek alphabet. In the Greek numeric system, it has a value of 800. The word literally means "great O" (ō mega, mega meaning 'great'), as opposed to omicron, which means "little O" (o mikron, micron meaning "little").[1] This name is Byzantine; in Classical Greek, the letter was called ō (ὦ), whereas the omicron was called ou (οὖ).[2] The form of the uppercase letter derives from that of an omicron (Ο) broken up at the side (), with the edges subsequently turned outwards (, , ).[3] The modern lowercase shape goes back to the uncial form , a form that developed during the 3rd century BC in ancient handwriting on papyrus, from a flattened-out form of the letter () that had its edges curved even further upwards.[4]
Phonetically, the Ancient Greek Ω is a long open-mid o [ɔː], equal to the vowel of British English raw. In Modern Greek Ω represents the same sound as omicron. The letter omega is transcribed ō or simply o.
Omega (the last letter of the Greek alphabet) is often used to denote the last, the end, or the ultimate limit of a set, in contrast to alpha, the first letter of the Greek alphabet. In the New Testament book of Revelation, God is declared to be the "alpha and omega, the beginning and the end, the first and the last".[5]
Omega was also adopted into the early Cyrillic alphabet. See Cyrillic omega (Ѡ, ѡ). A Raetic variant is conjectured to be at the origin or parallel evolution of the Elder Futhark ᛟ.
Omega was also adopted into the latin Alphabet, as as a letter of the 1982 revision to the African reference alphabet, it has had little use. See Latin omega.
The symbol Ω (majuscule letter)
The majuscule letter Ω is used as a symbol:
- In chemistry:
- For Oxygen-18 a natural, stable isotope of oxygen
- In physics:
- In mathematics / computer science:
- In mathematics
- In complex analysis, the Omega constant, a solution of Lambert's W function
- A variable for a 2-dimensional region in calculus, usually corresponding to the domain of a double integral.
- In set theory, the first uncountable ordinal number (more commonly written as ω1)
- In topos theory, the (codomain of the) subobject classifier of an elementary topos.
- In combinatory logic, the looping combinator, (λ x. x x) (λ x. x x)
- In group theory, the omega and agemo subgroups of a p-group, Ω(G) and ℧(G)
- In statistics, it is used as the symbol for the sample space, or total set of possible outcomes.
- As part of logo or trademark:
- In fictional worlds:
- In Nintendo's video game EarthBound, Omega is the symbol of the strongest PSI attack.
- In the fictional world of Star Trek, the Omega symbol is used in conjunction with the Omega Directive.
- As the logo of the popular PlayStation franchise God of War, a series of games based around Greek mythology.
- In the fictional universe Warhammer 40,000, the symbol for the Sons of Orar Chapter and, if turned upside down, the symbol for the Ultramarine Chapter of the Space Marines.
- In the X-Men films the symbol is used in tattoos by mutants (particularly those who join the Brotherhood of Mutants) to publicly announce their mutant status.
- In the DC Universe, the Omega symbol is associated mostly with Darkseid.
- In the BBC sci-fi television series Doctor Who, the symbol is used by and to represent the character Omega.
- In the Internet Series, Red vs. Blue, Omega is an A.I (artificial intelligence unit) used by the Freelancer Organization. It went rampant and committed suicide in Agent Maine's head.
- Other
- The symbol of the resistance movement against the Vietnam-era draft
- Year or date of death
- Used to refer to the lowest-ranked wolf in a pack
The symbol ω (minuscule letter)
The minuscule letter ω is used as a symbol:
- Biochemistry and chemistry:
- Physics:
- Computer science:
- Mathematics:
- Other:
Other
- The Omega symbol was created by Shawn R. W. and Charlie P.
Notes
- ^ The Greek Alphabet
- ^ Herbert Weir Smyth. A Greek Grammar for Colleges. §1
- ^ Anne Jeffery (1961), The local scripts of archaic Greece, p.37–38.
- ^ Edward M. Thompson (1912), Introduction to Greek and Latin paleography, Oxford: Clarendon. p.144
- ^ Revelation 22:13, KJV, and see also 1:8, Greek ἐγὼ τὸ ἄλφα καὶ τὸ ὦ, ὁ πρῶτος καὶ ὁ ἔσχατος, ἡ ἀρχὴ καὶ τὸ τέλος. Or in Revelation 1:8 as seen in the Latin Vulgate Bible, the Greek is shown, surrounded by Latin: "ego sum α et ω principium et finis dicit Dominus Deus qui est et qui erat et qui venturus est Omnipotens"
- ^ Excerpts from The Unicode Standard, Version 4.0. Retrieved 11 October 2006.