![]() In group theory, the omega and agemo subgroups of a p-group, Ω( G) and ℧( G).In combinatory logic, the looping combinator, (S I I (S I I)). ![]() In topos theory, the (codomain of the) subobject classifier of an elementary topos.A variable for a 2-dimensional region in calculus, usually corresponding to the domain of a double integral.In differential geometry, the space of differential forms on a manifold (of a certain degree, usually with a superscript).In complex analysis, the Omega constant, a solution of Lambert's W function.In astronomy (orbital mechanics), Ω refers to the longitude of the ascending node of an orbit.In astronomy (cosmology), Ω refers to the density of the universe, also called the density parameter.In particle physics to represent the Omega baryons.The solid angle or the rate of precession in a gyroscope.In statistical mechanics, Ω refers to the multiplicity (number of microstates) in a system.Unicode has a separate code point for the ohm sign (U+2126, Ω), but it is included only for backward compatibility, and the Greek uppercase omega character (U+03A9, Ω) is preferred. For ohm – SI unit of electrical resistance formerly also used upside down (℧) to represent mho, the old name for the inverse of an ohm (now siemens with symbol S) used for electrical conductance.For omega loop, a protein structural motif consisting of a loop of six or more amino acid residues in any sequence, a structure named for its resemblance to the Greek letter.For oxygen-18, a natural, stable isotope of oxygen.The uppercase letter Ω is used as a symbol: Plaque in Kos with "underlined O" form of omega. Omega was also adopted into the Latin alphabet, as a letter of the 1982 revision to the African reference alphabet. A Raetic variant is conjectured to be at the origin or parallel evolution of the Elder Futhark ᛟ. In addition to the Greek alphabet, Omega was also adopted into the early Cyrillic alphabet. 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 upward. The name Ωμέγα is Byzantine in Classical Greek, the letter was called ō ( ὦ) (pronounced /ɔ̂ː/), whereas the omicron was called ou ( οὖ) (pronounced /ôː/). The Dorian city of Knidos as well as a few Aegean islands, namely Paros, Thasos and Melos, chose the exact opposite innovation, using a broken-up circle for the short and a closed circle for the long /o/. It is a variant of omicron (Ο), broken up at the side ( ), with the edges subsequently turned outward (, ,, ). It was introduced in the late 7th century BC in the Ionian cities of Asia Minor to denote a long open-mid back rounded vowel. Ω was not part of the early (8th century BC) Greek alphabets. The letter omega is transliterated into a Latin-script alphabet as ō or simply o.Īs the final letter in the Greek alphabet, omega 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 see Alpha and Omega. In Modern Greek, both omega and omicron represent the mid back rounded vowel IPA: or IPA. In phonetic terms, the Ancient Greek Ω represented a long open-mid back rounded vowel IPA:, comparable to the "aw" of the English word raw in dialects without the cot–caught merger, in contrast to omicron which represented the close-mid back rounded vowel IPA:, and the digraph ου which represented the long close-mid back rounded vowel IPA. The word literally means "great O" ( ō mega, mega meaning "great"), as opposed to omicron, which means "little O" ( o mikron, micron meaning "little"). In the Greek numeric system/ isopsephy ( gematria), it has a value of 800. Omega ( / oʊ ˈ m iː ɡ ə, oʊ ˈ m ɛ ɡ ə, oʊ ˈ m eɪ ɡ ə, ə ˈ m iː ɡ ə/ capital: Ω, lowercase: ω Ancient Greek ὦ, later ὦ μέγα, Modern Greek ωμέγα) is the twenty-fourth and final letter in the Greek alphabet. ![]()
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