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Biography
Other usesSpecialCharsWiktionary|O|?Greek Alphabet|letter=omegaPhonetically, the Ancient Greek O is a vowel length|long open-mid back unrounded vowel|open-mid o IPA|??, equal to the vowel of British English raw . In Modern Greek O represents the same sound as omicron. The letter omega is transcription (linguistics)|transcribed o 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 theory|set , in contrast to Alpha (letter)|alpha , the first letter of the Greek alphabet.
Omega was also adopted into the early Cyrillic alphabet . See omega (Cyrillic)|Cyrillic omega (Unicode|?, Unicode|?). A Raetic alphabet|Raetic variant is conjectured to be at the origin or parallel evolution of the Elder Futhark ? .
Omega was also adopted into the Latin alphabet, as a letter of the 1982 revision to the African reference alphabet . It has had little use. See Latin omega .
The symbol O (majuscule letter)
Ref improve section|date=August 2009The majuscule letter O is used as a symbol:
In physics :
* For ohm – SI unit of electrical resistance; formerly also used upside down (Unicode|?) to represent mho , the old name for the inverse of an ohm (now siemens (unit)|siemens with symbol S) used for electrical conductance. Unicode has a separate code point for the Ohm (unit)|ohm sign (U+2126, O), but it is only included for backwards compatibility and the Greek uppercase omega character (U+03A9, O) is preferred.Excerpts from http://www.unicode.org/versions/Unicode4.0.0/ch07.pdf#search=%22character%20U%2B2126%20maps%20OR%20map%20OR%20mapping%22 The Unicode Standard, Version 4.0 . Retrieved 11 October 2006.
* In statistical mechanics O refers to the multiplicity (number of microstates) in a system.
* The solid angle or the rate of precession in a gyroscope.
* In particle physics to represent the Omega baryon s.
* In astronomy ( physical cosmology|cosmology ) O refers to the density of the universe, also called the density parameter .
* In astronomy ( orbital mechanics ), O refers to the longitude of the ascending node of an orbit
In mathematics / computer science :
* in notation related to Big O notation to describe the asymptotic behavior of function (mathematics)|function s.
* Chaitin's constant .
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 topos theory , the (codomain of the) subobject classifier of an elementary topos.
* In combinatory logic , the looping combinator, (? x. x x) (? x. x x)
* In group theory , the omega and agemo subgroup s of a p -group, O( G ) and ?( G )
* In statistics , it is used as the symbol for the sample space , or total set of possible outcomes.
* In physics , it is used to represent angular frequency
As part of logo or trademark:
* The logo of Omega Watches SA.
* Part of the Supreme Court of the United Kingdom#Badge|Badge of the Supreme Court of the United Kingdom.
* Part of the mission patch for STS-135, as it was the last mission of the Space Shuttle program.
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 ? (minuscule letter)
The lower case|minuscule letter ? is used as a symbol:
Biochemistry and chemistry:
* Denotes the carbon atom furthest from the carboxyl group of a fatty acid .
* In biochemistry , for one of the RNA Polymerase subunits.
* In biochemistry, for the dihedral angle associated with the peptide group, involving the backbone atoms Ca-C'-N-Ca
* In genomics , as a measure of evolution at the protein level (also denoted as dN/dS or Ka/Ks ratio|Ka/Ks ratio ).
Physics:
* angular velocity or angular frequency
* Computational fluid dynamics : the specific turbulence dissipation rate
* In circuit analysis and signal processing to represent natural frequency, related to frequency f by ? = 2p f
* In astronomy , as a ranking of a star's brightness
* In astronomy ( orbital mechanics ), as designation of the argument of periapsis of an orbit
* In particle physics to represent the Meson|omega meson
Computer science:
* In notation related to Big O notation , the asymptotical dominance|asymptotically dominant nature of function (mathematics)|function s
* In relational database theory to represent Null (SQL)|NULL , a missing or inapplicable value.
Mathematics:
* The first transfinite number|transfinite ordinal number , often identified with the set of natural numbers including 0 (sometimes written )
* In set theory , the first uncountable ordinal|first uncountable ordinal number (more commonly written as ?1)
* The complex roots of unity|cube roots of 1
* The Wright Omega Function|Wright Omega function
* A generic differential form
* In number theory , an arithmetic function
* In combinatory logic , the self-application combinator, (? x. x x)
* In mathematical/options finance, the elasticity of financial options
* In analytical investment management, the tracking error of an investment manager
Other:
* Used in place of ? in Japanese typing shorthand.
* In linguistics , the phonological word
* In textual criticism , the archetype of a manuscript tradition
* In sociology , used to refer to the lowest ranking member of a group
