Omega (;
capital: Ω,
lowercase
Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing ...
: ω;
Ancient Greek
Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic p ...
ὦ, later ὦ μέγα,
Modern Greek
Modern Greek (, , or , ''Kiní Neoellinikí Glóssa''), generally referred to by speakers simply as Greek (, ), refers collectively to the dialects of the Greek language spoken in the modern era, including the official standardized form of the ...
ωμέγα) is the twenty-fourth and final letter in the
Greek alphabet
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BCE. It is derived from the earlier Phoenician alphabet, and was the earliest known alphabetic script to have distinct letters for vowels as w ...
. In the
Greek numeric system/
isopsephy Isopsephy (; ''isos'' meaning "equal" and ''psephos'' meaning "pebble") or isopsephism is the practice of adding up the number values of the letters in a word to form a single number. The total number is then used as a metaphorical bridge to othe ...
(
gematria
Gematria (; he, גמטריא or gimatria , plural or , ''gimatriot'') is the practice of assigning a numerical value to a name, word or phrase according to an alphanumerical cipher. A single word can yield several values depending on the cipher ...
), it has a value of 800. The word literally means "great O" (''ō mega'', mega meaning "great"), as opposed to
omicron
Omicron (; uppercase Ο, lowercase ο, ell, όμικρον) is the 15th letter of the Greek alphabet. This letter is derived from the Phoenician letter ayin: . In classical Greek, omicron represented the close-mid back rounded vowel in contras ...
, which means "little O" (''o mikron'', micron meaning "little").
In
phonetic
Phonetics is a branch of linguistics that studies how humans produce and perceive sounds, or in the case of sign languages, the equivalent aspects of sign. Linguists who specialize in studying the physical properties of speech are phoneticians. ...
terms, the Ancient Greek Ω represented a
long
Long may refer to:
Measurement
* Long, characteristic of something of great duration
* Long, characteristic of something of great length
* Longitude (abbreviation: long.), a geographic coordinate
* Longa (music), note value in early music mens ...
open-mid back rounded vowel
The open-mid back rounded vowel, or low-mid back rounded vowel, is a type of vowel sound, used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is . The IPA symbol is a turned letter ''c'' a ...
, comparable to the "aw" of the
English
English usually refers to:
* English language
* English people
English may also refer to:
Peoples, culture, and language
* ''English'', an adjective for something of, from, or related to England
** English national ide ...
word ''raw'' in dialects without the
cot–caught merger
The ''cot''–''caught'' merger or merger, formally known in linguistics as the low back merger, is a sound change present in some dialects of English where speakers do not distinguish the vowel phonemes in "cot" and "caught". "Cot" and "caug ...
, in contrast to
omicron
Omicron (; uppercase Ο, lowercase ο, ell, όμικρον) is the 15th letter of the Greek alphabet. This letter is derived from the Phoenician letter ayin: . In classical Greek, omicron represented the close-mid back rounded vowel in contras ...
which represented the
close-mid back rounded vowel
The close-mid back rounded vowel, or high-mid back rounded vowel, is a type of vowel sound used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is .
Close-mid back protruded vowel
The close ...
, and the
digraph ''ου'' which represented the
long
Long may refer to:
Measurement
* Long, characteristic of something of great duration
* Long, characteristic of something of great length
* Longitude (abbreviation: long.), a geographic coordinate
* Longa (music), note value in early music mens ...
close-mid back rounded vowel
The close-mid back rounded vowel, or high-mid back rounded vowel, is a type of vowel sound used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is .
Close-mid back protruded vowel
The close ...
. In
Modern Greek
Modern Greek (, , or , ''Kiní Neoellinikí Glóssa''), generally referred to by speakers simply as Greek (, ), refers collectively to the dialects of the Greek language spoken in the modern era, including the official standardized form of the ...
, both omega and omicron represent the
mid back rounded vowel
The mid back rounded vowel is a type of vowel sound, used in some spoken languages. While there is no dedicated symbol in the International Phonetic Alphabet that represents the exact mid back rounded vowel between close-mid and open-mid , it i ...
or . The letter omega is
transliterated
Transliteration is a type of conversion of a text from one script to another that involves swapping letters (thus ''trans-'' + '' liter-'') in predictable ways, such as Greek → , Cyrillic → , Greek → the digraph , Armenian → or L ...
into a
Latin-script alphabet as ''ō'' or simply ''o''.
As the final letter in the Greek alphabet, omega is often used to denote the last, the end, or the ultimate limit of a
set
Set, The Set, SET or SETS may refer to:
Science, technology, and mathematics Mathematics
*Set (mathematics), a collection of elements
*Category of sets, the category whose objects and morphisms are sets and total functions, respectively
Electro ...
, in contrast to
alpha, the first letter of the Greek alphabet; see
Alpha and Omega.
History
Ω was not part of the early (8th century BC)
Greek alphabets
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BCE. It is derived from the earlier Phoenician alphabet, and was the earliest known alphabetic script to have distinct letters for vowels as we ...
. It was introduced in the late 7th century BC in the Ionian cities of Asia Minor to denote a
long
Long may refer to:
Measurement
* Long, characteristic of something of great duration
* Long, characteristic of something of great length
* Longitude (abbreviation: long.), a geographic coordinate
* Longa (music), note value in early music mens ...
open-mid back rounded vowel
The open-mid back rounded vowel, or low-mid back rounded vowel, is a type of vowel sound, used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is . The IPA symbol is a turned letter ''c'' a ...
. It is a variant of omicron (Ο), broken up at the side (
![Greek Omega 09](https://upload.wikimedia.org/wikipedia/commons/3/3c/Greek_Omega_09.svg)
), with the edges subsequently turned outward (, , , ).
[Anne Jeffery (1961), ''The local scripts of archaic Greece'', p.37–38.]
The Dorian city of
Knidos
Knidos or Cnidus (; grc-gre, Κνίδος, , , Knídos) was a Greek city in ancient Caria and part of the Dorian Hexapolis, in south-western Asia Minor, modern-day Turkey. It was situated on the Datça peninsula, which forms the southern side ...
as well as a few Aegean islands, namely
Paros
Paros (; el, Πάρος; Venetian: ''Paro'') is a Greek island in the central Aegean Sea. One of the Cyclades island group, it lies to the west of Naxos, from which it is separated by a channel about wide. It lies approximately south-east of ...
,
Thasos
Thasos or Thassos ( el, Θάσος, ''Thásos'') is a Greek island in the North Aegean Sea. It is the northernmost major Greek island, and 12th largest by area.
The island has an area of and a population of about 13,000. It forms a separate r ...
and
Melos, chose the exact opposite innovation, using a broken-up circle for the short and a closed circle for the long .
[
The name Ωμέγα is ]Byzantine
The Byzantine Empire, also referred to as the Eastern Roman Empire or Byzantium, was the continuation of the Roman Empire primarily in its eastern provinces during Late Antiquity and the Middle Ages, when its capital city was Constantinopl ...
; in Classical Greek
Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic peri ...
, the letter was called ''ō'' () (pronounced /ɔ̂ː/), whereas the omicron was called ''ou'' () (pronounced /ôː/).
The modern lowercase shape goes back to the uncial
Uncial is a majuscule Glaister, Geoffrey Ashall. (1996) ''Encyclopedia of the Book''. 2nd edn. New Castle, DE, and London: Oak Knoll Press & The British Library, p. 494. script (written entirely in capital letters) commonly used from the 4th to ...
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.
In addition to the Greek alphabet, Omega was also adopted into the early Cyrillic alphabet
The Early Cyrillic alphabet, also called classical Cyrillic or paleo-Cyrillic, is a writing system that was developed in the First Bulgarian Empire during the late 9th century on the basis of the Greek alphabet for the Slavic people living ...
. See Cyrillic omega (Ѡ, ѡ). A Raetic
Rhaetic or Raetic (), also known as Rhaetian, was a language spoken in the ancient region of Rhaetia in the eastern Alps in pre-Roman and Roman times. It is documented by around 280 texts dated from the 5th up until the 1st century BC, which wer ...
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 a letter of the 1982 revision to the African reference alphabet
An African reference alphabet was first proposed in 1978 by a UNESCO-organized conference held in Niamey, Niger, and the proposed alphabet was revised in 1982. The conference recommended the use of single letters for a sound (that is, a phoneme) ...
. It has had little use. See Latin omega.
The symbol Ω (uppercase letter)
The uppercase
Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing ...
letter Ω is used as a symbol:
* In chemistry:
** For oxygen-18
Oxygen-18 (, Ω) is a natural, stable isotope of oxygen and one of the environmental isotopes.
is an important precursor for the production of fluorodeoxyglucose (FDG) used in positron emission tomography (PET). Generally, in the radiopharmaceu ...
, a natural, stable isotope of oxygen.
* In physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
:
** For ohm
Ohm (symbol Ω) is a unit of electrical resistance named after Georg Ohm.
Ohm or OHM may also refer to:
People
* Georg Ohm (1789–1854), German physicist and namesake of the term ''ohm''
* Germán Ohm (born 1936), Mexican boxer
* Jörg Ohm (b ...
– 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. 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.
** In statistical mechanics, Ω refers to the multiplicity (number of microstates) in a system.
** The solid angle
In geometry, a solid angle (symbol: ) is a measure of the amount of the field of view from some particular point that a given object covers. That is, it is a measure of how large the object appears to an observer looking from that point.
The poi ...
or the rate of precession in a gyroscope.
** In particle physics to represent the Omega baryon
The omega baryons are a family of subatomic hadron (a baryon) particles that are represented by the symbol and are either neutral or have a +2, +1 or −1 elementary charge. They are baryons containing no up or down quarks. Omega baryons co ...
s.
** In astronomy (cosmology), Ω refers to the density of the universe, also called the density parameter
The Friedmann equations are a set of equations in physical cosmology that govern the expansion of space in homogeneous and isotropic models of the universe within the context of general relativity. They were first derived by Alexander Friedma ...
.
** In astronomy (orbital mechanics), Ω refers to the longitude of the ascending node of an orbit.
*In mathematics and computer science
Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (includi ...
:
** In complex analysis, the Omega constant, a solution of Lambert's W function
** In differential geometry, the space of differential forms on a manifold (of a certain degree, usually with a superscript).
** 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 In category theory, a subobject classifier is a special object Ω of a category such that, intuitively, the subobjects of any object ''X'' in the category correspond to the morphisms from ''X'' to Ω. In typical examples, that morphism assigns "true ...
of an elementary topos.
** In combinatory logic, the looping combinator, ''(S I I (S I I))''
** In group theory, the omega and agemo subgroups of a ''p''-group, Ω(''G'') and ℧(''G'')
** In group theory, Cayley's Ω process
In mathematics, Cayley's Ω process, introduced by , is a relatively invariant differential operator on the general linear group, that is used to construct invariants of a group action.
As a partial differential operator acting on functions of ...
as a partial differential operator.
** In statistics, it is used as the symbol for the sample space
In probability theory, the sample space (also called sample description space, possibility space, or outcome space) of an experiment or random trial is the set of all possible outcomes or results of that experiment. A sample space is usually den ...
, or total set of possible outcomes.
** In number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, Ω(''n'') is the number of prime divisor
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s of ''n'' (counting multiplicity
Multiplicity may refer to: In science and the humanities
* Multiplicity (mathematics), the number of times an element is repeated in a multiset
* Multiplicity (philosophy), a philosophical concept
* Multiplicity (psychology), having or using mult ...
).
** In notation related to Big O notation to describe the asymptotic behavior of functions.
** Chaitin's constant
In the computer science subfield of algorithmic information theory, a Chaitin constant (Chaitin omega number) or halting probability is a real number that, informally speaking, represents the probability that a randomly constructed program will ...
.
**In set theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly conce ...
, the first infinite ordinal number, ω
** In set theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly conce ...
, the first uncountable ordinal number, ω1 or Ω
*As part of logo or trademark:
** The logo of Omega Watches
Omega SA is a Swiss luxury watchmaker based in Biel/Bienne, Switzerland. Founded by Louis Brandt in La Chaux-de-Fonds in 1848, the company formerly operated as ''La Generale Watch Co.'' until incorporating the name ''Omega'' in 1903, becoming ' ...
SA.
** The logo of Omegaklinikken
** Part of the original Pioneer
Pioneer commonly refers to a settler who migrates to previously uninhabited or sparsely inhabited land.
In the United States pioneer commonly refers to an American pioneer, a person in American history who migrated west to join in settling and de ...
logo.
** Part of the Badge of the Supreme Court of the United Kingdom.
** Part of the mission patch for STS-135
STS-135 ( ISS assembly flight ULF7) was the 135th and final mission of the American Space Shuttle program. It used the orbiter ''Atlantis'' and hardware originally processed for the STS-335 contingency mission, which was not flown. STS-135 la ...
, as it was the last mission of the Space Shuttle program.
** The logo of the ''God of War
A war god in mythology associated with war, combat, or bloodshed. They occur commonly in both monotheistic and polytheistic religions.
Unlike most gods and goddesses in polytheistic religions, monotheistic deities have traditionally been p ...
'' video game series based on Greek mythology. In God of War (2018), it is revealed it stands as the symbol of war in Greece.
** The logo of E-123 Omega, a '' Sonic the Hedgehog'' character.
** The logo of the Heroes of Olympus
''The Heroes of Olympus'' is a pentalogy of fantasy-adventure novels written by American author Rick Riordan. The novels detail a conflict between Greek demigods, Roman demigods, and Gaia (Roman name Terra). In the fourth book of the series, ...
series, based on Greek mythology.
** the logo of the Ultramarines in ''Warhammer 40,000
''Warhammer 40,000'' is a miniature wargame produced by Games Workshop. It is the most popular miniature wargame in the world, and is particularly popular in the United Kingdom. The first edition of the rulebook was published in September 1987, ...
''
** The logo of Primal Groudon, the version mascot of ''Pokémon Omega Ruby
(an abbreviation for in Japan) is a Japanese media franchise managed by The Pokémon Company, founded by Nintendo, Game Freak, and Creatures, the owners of the trademark and copyright of the franchise.
In terms of what each of those c ...
''.
** The logo of Darkseid in DC comics
** One of the logos of professional wrestler Kenny Omega
Tyson Smith (born October 16, 1983), better known by the ring name Kenny Omega, is a Canadian-born professional wrestler. Omega is an executive vice president of All Elite Wrestling (AEW), in which he also performs. Omega is a former one-ti ...
** The logo for Meow Wolf
Meow Wolf is an American arts and entertainment company that creates large-scale interactive and immersive art installations. Founded in 2008, its flagship attraction, ''House of Eternal Return'' in Santa Fe, New Mexico, is a facility, which ...
's Omega Mart in Area15, Las Vegas, Nevada.
** The logo for AMPLY Power’s Omega™ Charge Management System.
** The logo of Lalaji Memorial Omega International School
*Other:
** The symbol of the resistance movement against the Vietnam-era draft in the United States
** Year or date of death
** In eschatology
Eschatology (; ) concerns expectations of the end of the present age, human history, or of the world itself. The end of the world or end times is predicted by several world religions (both Abrahamic and non-Abrahamic), which teach that nega ...
, the symbol for the end of everything
**In molecular biology
Molecular biology is the branch of biology that seeks to understand the molecular basis of biological activity in and between cells, including biomolecular synthesis, modification, mechanisms, and interactions. The study of chemical and physi ...
, the symbol is used as shorthand to signify a genetic construct introduced by a two-point crossover
** Omega Particle in the Star Trek universe
** The final form of NetNavi bosses in some of the ''Mega Man Battle Network
is a tactical role-playing video game series created by Masahiro Yasuma and developed and published by Capcom as a spin-off of the ''Mega Man'' series; it premiered in 2001 on the Game Boy Advance and takes place in an alternate continuity wh ...
'' games
** The personal symbol for Death, as worn by Death in the Discworld series by Terry Pratchett
** A secret boss in the ''Final Fantasy
is a Japanese video game, Japanese science fantasy anthology media franchise created by Hironobu Sakaguchi and developed and owned by Square Enix (formerly Square (video game company), Square). The franchise centers on a series of fantasy and ...
'' series called Omega ( Ω ) Weapon.
** A character from the series '' Doctor Who'' called Omega, believed to be one of the creators of the Time Lords of Gallifrey.
** The symbol for the highest power level of a PSI
Psi, PSI or Ψ may refer to:
Alphabetic letters
* Psi (Greek) (Ψ, ψ), the 23rd letter of the Greek alphabet
* Psi (Cyrillic) (Ѱ, ѱ), letter of the early Cyrillic alphabet, adopted from Greek
Arts and entertainment
* "Psi" as an abbreviatio ...
attack in the ''MOTHER
]
A mother is the female parent of a child. A woman may be considered a mother by virtue of having given birth, by raising a child who may or may not be her biological offspring, or by supplying her ovum for fertilisation in the case of ges ...
/ EarthBound'' games
The symbol ω (lower case letter)
The minuscule
Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing ...
letter ω is used as a symbol:
* Biology, biochemistry and chemistry:
** In biochemistry
Biochemistry or biological chemistry is the study of chemical processes within and relating to living organisms. A sub-discipline of both chemistry and biology, biochemistry may be divided into three fields: structural biology, enzymology and ...
, for one of the RNA polymerase subunits
** In biochemistry, for the dihedral angle associated with the peptide group, involving the backbone atoms Cα-C'-N-Cα
** In biology, for fitness
** In chemistry, for denoting the carbon atom furthest from the carboxyl group
In organic chemistry, a carboxylic acid is an organic acid that contains a carboxyl group () attached to an R-group. The general formula of a carboxylic acid is or , with R referring to the alkyl, alkenyl, aryl, or other group. Carboxylic ...
of a fatty acid
In chemistry, particularly in biochemistry, a fatty acid is a carboxylic acid with an aliphatic chain, which is either saturated or unsaturated. Most naturally occurring fatty acids have an unbranched chain of an even number of carbon atoms, ...
** In genomics, as a measure of molecular evolution
Molecular evolution is the process of change in the sequence composition of cellular molecules such as DNA, RNA, and proteins across generations. The field of molecular evolution uses principles of evolutionary biology and population genetics ...
in protein-coding genes (also denoted as dN/dS or Ka/Ks ratio)
* Physics
** Angular velocity or angular frequency
In physics, angular frequency "''ω''" (also referred to by the terms angular speed, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate. It refers to the angular displacement per unit tim ...
** In computational fluid dynamics
Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate ...
, the specific turbulence dissipation rate
** In meteorology
Meteorology is a branch of the atmospheric sciences (which include atmospheric chemistry and physics) with a major focus on weather forecasting. The study of meteorology dates back millennia, though significant progress in meteorology did no ...
, the change of pressure with respect to time of a parcel of air
** In circuit analysis
A network, in the context of electrical engineering and electronics, is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many ...
and signal processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as sound, images, and scientific measurements. Signal processing techniques are used to optimize transmissions, ...
to represent natural frequency
Natural frequency, also known as eigenfrequency, is the frequency at which a system tends to oscillate in the absence of any driving force.
The motion pattern of a system oscillating at its natural frequency is called the normal mode (if all pa ...
, related to frequency
Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as ''temporal frequency'' for clarity, and is distinct from ''angular frequency''. Frequency is measured in hertz (Hz) which is eq ...
''f'' by ω = 2π''f''
** In astronomy
Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...
, as a ranking of a star's brightness within a constellation
** In orbital mechanics
Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft. The motion of these objects is usually calculated from Newton's laws of ...
, as designation of the argument of periapsis of an orbit
** In particle physics
Particle physics or high energy physics is the study of fundamental particles and forces that constitute matter and radiation. The fundamental particles in the universe are classified in the Standard Model as fermions (matter particles) an ...
to represent the omega meson
The omega meson () is a flavourless meson formed from a superposition of an up quark–antiquark and a down quark–antiquark pair. It is part of the vector meson nonet and mediates the nuclear force along with pions and rho mesons.
Propert ...
* Computer science:
** In notation related to Big O notation, the asymptotically dominant nature of function
Function or functionality may refer to:
Computing
* Function key, a type of key on computer keyboards
* Function model, a structured representation of processes in a system
* Function object or functor or functionoid, a concept of object-oriente ...
s
** In relational database theory to represent NULL
Null may refer to:
Science, technology, and mathematics Computing
* Null (SQL) (or NULL), a special marker and keyword in SQL indicating that something has no value
* Null character, the zero-valued ASCII character, also designated by , often use ...
, a missing or inapplicable value
** In APL, to represent the right parameter to a function
*Mathematics:
** The first and smallest transfinite Transfinite may refer to:
* Transfinite number, a number larger than all finite numbers, yet not absolutely infinite
* Transfinite induction, an extension of mathematical induction to well-ordered sets
** Transfinite recursion
Transfinite inducti ...
ordinal number, often identified with the set of natural numbers including 0 (sometimes written )
** In set theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly conce ...
, ω1 is the first uncountable ordinal number (also sometimes written as Ω)
** A primitive root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that yields 1 when raised to some positive integer power . Roots of unity are used in many branches of mathematics, and are especially important ...
, like the complex cube roots of 1
** The Wright Omega function
** A generic differential form
** In number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, ω(''n'') is the number of distinct prime divisor
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
s of ''n''
** In number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, an arithmetic function
In number theory, an arithmetic, arithmetical, or number-theoretic function is for most authors any function ''f''(''n'') whose domain is the positive integers and whose range is a subset of the complex numbers. Hardy & Wright include in their d ...
** In combinatory logic, the self-application combinator, ''(λ x. x x)''
** In mathematical/options finance, the elasticity of financial options
** In analytical investment management, the tracking error In finance, tracking error or active risk is a measure of the risk in an investment portfolio that is due to active management decisions made by the portfolio manager; it indicates how closely a portfolio follows the index to which it is benchmarked ...
of an investment manager
** Clique number
In the mathematical area of graph theory, a clique ( or ) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent. That is, a clique of a graph G is an induced subgraph of G that is compl ...
in Graph theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...
* Other:
** Used in place of ん
ん, in hiragana or ン in katakana, is one of the Japanese kana, which each represent one mora. ん is the only kana that does not end in a vowel sound (although in certain cases the vowel ending of kana, such as す, is unpronounced). The ka ...
in Japanese typing shorthand.
** In linguistics
Linguistics is the science, scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure ...
, the phonological word
The phonological word or prosodic word (also called pword, PrWd; symbolised as ω) is a constituent in the phonological hierarchy higher than the syllable and the foot but lower than intonational phrase and the phonological phrase. It is larg ...
** In textual criticism
Textual criticism is a branch of textual scholarship, philology, and of literary criticism that is concerned with the identification of textual variants, or different versions, of either manuscripts or of printed books. Such texts may range in da ...
, the archetype
The concept of an archetype (; ) appears in areas relating to behavior, historical psychology, and literary analysis.
An archetype can be any of the following:
# a statement, pattern of behavior, prototype, "first" form, or a main model that ...
of a manuscript tradition
** In sociology
Sociology is a social science that focuses on society, human social behavior, patterns of social relationships, social interaction, and aspects of culture associated with everyday life. It uses various methods of empirical investigation an ...
, used to refer to the lowest ranking member of a group
** In shift_JIS art
Shift_JIS art is artwork created from characters in the Shift JIS character set, a superset of the ASCII encoding standard intended for Japanese usage. Shift_JIS art has become popular on web-based bulletin boards, notably 2channel, and has e ...
, used to represent the cat's mouth. (e.g. (´・ω・`) ショボーン)
** In actuarial sciences, used to represent the maximum life span that characterizes a mortality table
In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, what the probability is that a person of that age will die before their next birthday ("probability of deat ...
Character encodings
Greek omega/Coptic oou
[Unicode Code Charts]
Greek and Coptic (Range: 0370-03FF)
/ref>
Cyrillic omega
Latin
Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the ...
/IPA
IPA commonly refers to:
* India pale ale, a style of beer
* International Phonetic Alphabet, a system of phonetic notation
* Isopropyl alcohol, a chemical compound
IPA may also refer to:
Organizations International
* Insolvency Practitioners ...
omega
Technical omega symbols
Mathematical omega
These characters are used only as mathematical symbols. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate the style of the text.
Notes
{{Wiktionary, Ω, ω
Greek letters
Vowel letters