Omega

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Omega

Omega (majuscule: Ω, minuscule: ω; Greek

Ancient Greek

Ancient Greek is the historical stage in the development of the Greek language spanning across the Archaic Greece , Classical Greece , and Hellenistic civilization periods of ancient Greece and the classical antiquity....
Oµ??a) is the 24th and last letter of the Greek alphabet

Greek alphabet

The Greek alphabet is a set of twenty-four letters that has been used to write the Greek language since the late 9th century BC or early 8th century BCE....
. In the Greek numeric system,

Greek numerals

Greek numerals are a numeral system using letters of the Greek alphabet. They are also known by the names Milesian numerals, Alexandrian numerals, or alphabetic numerals....
it has a value of 800. The word literally means "great O" (o mega
Mega

mega is an SI prefix in the SI system of Units of measurements denoting a factor of 1 E6, 1,000,000 .For example, 1 MW = 1,000,000 watts = 1,000 kilowatts....
, mega meaning 'great'), as opposed to Omicron

Omicron

Omicron is the 15th letter of the Greek alphabet. In the system of Greek numerals it has a value of 70. It is rarely used in mathematics because it is indistinguishable from the Latin alphabet letter O and easily confused with the Numerical digit 0 ....
, which means "little O" (o mikron
Micro

The term micro is a SI prefix in the SI and other systems of Units of measurements denoting a factor of 10−6 .Confirmed in 1960, the prefix comes from the Ancient Greek , meaning "small"....
, micron meaning "little"). This name is Byzantine

Medieval Greek

Medieval Greek, also known as Byzantine Greek , is a cover term for all forms of the Greek language that were spoken and written during the time of the Byzantine Empire....
; in Classical Greek

Ancient Greek

Omicron

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Omega (majuscule: Ω, minuscule: ω; Greek

Ancient Greek

Greek alphabet

The Greek alphabet is a set of twenty-four letters that has been used to write the Greek language since the late 9th century BC or early 8th century BCE....
. In the Greek numeric system,

Greek numerals

Omicron

Medieval Greek

Ancient Greek

Omicron

Omicron is the 15th letter of the Greek alphabet. In the system of Greek numerals it has a value of 70. It is rarely used in mathematics because it is indistinguishable from the Latin alphabet letter O and easily confused with the Numerical digit 0 ....
was called ou . The form of the lowercase letter derives from a double omicron, which came to be written open at the top.

Phonetically, the Ancient Greek

Ancient Greek

Vowel length

In linguistics, vowel length is the perceived length of a vowel sound. Often the chroneme, or the "longness", acts like a consonant, and may etymologically be one such as in Australian English....
open-mid o

Open-mid back unrounded vowel

The open-mid back unrounded vowel is a type of vowel sound, used in some Speech communication languages. The symbol in the International Phonetic Alphabet that represents this sound is , and the equivalent X-SAMPA symbol is V....
[], similar to the vowel of English raw in certain dialects such as RP where this word is pronounced []. It should not be confused with the sound of English so-called "long o" as in ocean, which is either diphthongal [] or [] or a close-mid kind of "o" [o], in either case distinctly different from the "long o" sound of Greek omega and closer to the Classical Greek sound represented by ?? before this came to be pronounced [u]. In Modern Greek

Modern Greek

Modern Greek refers the varieties of Greek spoken in the modern era. The beginning of the "modern" period of the language is often symbolically assigned to the fall of the Byzantine Empire in 1453, even though that date marks no clear linguistic boundary and many characteristic modern features of the language had been present centuries earli...
O represents the same sound as omicron. The letter omega is transcribed

Transcription (linguistics)

Transcription is the conversion into written, typewritten or printed form, of a spoken language source, such as the proceedings of a court hearing....
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

Set theory

Set theory is the branch of mathematics that studies Set , which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics....
, in contrast to Alpha

Alpha (letter)

Alpha is the first letter of the Greek alphabet. In the system of Greek numerals it has a value of 1. It was derived from the Phoenician alphabet Aleph ....
, 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".

As Ninhursag

Ninhursag

In Sumerian mythology, Ninhursag was the earth and mother-goddess, one of the seven great deities of Sumer. She is principally a fertility goddess....
's symbol, the omega has been depicted in art from around 3000 BC, though more generally from the early second millennium. It appears on some boundary stones on the upper tier, which indicates her importance.

Omega was also adopted into the early Cyrillic alphabet

Early Cyrillic alphabet

The old Cyrillic alphabet was a writing system developed in the First Bulgarian Empire in the tenth century to write the Old Church Slavonic liturgical language....
. See Cyrillic omega

Omega (Cyrillic)

Bold text'Omega is a letter used in the early Cyrillic alphabet, descended from the Greek omega .Unlike Greek language, the Slavic languages had only a single /o/ sound, so omega was little used compared to the ordinary letter O , ? ?, descended from Greek omicron....
(). A Raetic variant is at the origin of Elder Futhark

Elder Futhark

The Elder Futhark is the oldest form of the runic alphabet, used by Germanic tribes for Northwest Germanic and Migration period Germanic dialects of the 2nd to 8th centuries for inscriptions on artifacts and runestones....
?

or is a letter derived from the Latin alphabet. Both glyphs of the majuscule and Lower case forms of this letter are based on the rotated form of a minuscule e; a similar letter with identical minuscule is used in the Pan-Nigerian Alphabet, but has the capital form majuscule , based on a horizontally flipped majuscule E....
.

The symbol O (majuscule letter)

The upper-case letter O is used as a symbol. It is meaning the ending,the last and the finale, as in the book of revelation God is described as the Alpha and the Omega, beginning and end. It is also used often outside its Greek alphabetical context in literature, advertising and other forms of human expression.

In physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
:

For ohm
Ohm

The ohm is the SI unit of electrical impedance or, in the direct current case, electrical resistance, named after Georg Ohm....
— SI
Si

Si, si, or SI may refer to :...
unit of electrical resistance; formerly also used upside down to represent mho, the old name for the inverse of an ohm (now siemens
Siemens (unit)

The siemens is the SI SI derived unit of electric conductance. It is equal to inverse ohm. It is named after the Germany inventor and industrialist Ernst Werner von Siemens, and was previously called the #Mho....
with symbol S) used for electrical conductance. Unicode
Unicode

Unicode is a computing industry standard allowing computers to consistently represent and manipulate Character expressed in most of the world's writing systems....
has a separate code point for the ohm sign (U+2126, Ω), but it is only included for backwards compatibility and the Greek uppercase omega character (U+03A9, O) is preferred.
The solid angle
Solid angle

The solid angle, O, is the angle in three-dimensional space that an object subtends at a point. It is a measure of how big that object appears to an observer looking from that point....
or the rate of precession in a gyroscope.
In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
to represent the Omega baryons.

In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
/computer science
Computer science

Computer science is the study of the theoretical foundations of information and computation, and of practical techniques for their implementation and application in computer systems....
:

in notation related to Big O notation
Big O notation

In mathematics, big O notation describes the asymptotic analysis of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions....
to describe the asymptotic behavior of function
Function (mathematics)

The mathematical concept of a function expresses dependence between two quantities, one of which is known and the other which is produced. A function associates a single output to each input element drawn from a fixed Set , such as the real numbers , although different inputs may have the same output....
s.
Chaitin's constant
Chaitin's constant

In the computer science subfield of algorithmic information theory a Chaitin constant or halting probability is a real number that informally represents the probability that a randomly-chosen program will halt....
.

In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....

In complex analysis
Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics investigating Function of complex numbers....
, the Omega constant
Omega constant

The Omega constant is a mathematical constant defined byIt is the value of W where W is Lambert's W function. The name is derived from the alternate name for Lambert's W function, the Omega function....
, 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
Set theory

Set theory is the branch of mathematics that studies Set , which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics....
, the first uncountable ordinal number
First uncountable ordinal

In mathematics, the first uncountable ordinal, traditionally denoted by ω1 or sometimes by Ω, is the smallest ordinal number that, considered as a set , is uncountable....
(more commonly written as ω₁)
In topos theory, the (codomain of the) subobject classifier
Subobject classifier

In category theory, a subobject classifier is a special object Ω of a category; intuitively, the subobjects of an object X correspond to the morphisms from X to Ω....
of an elementary topos.
In combinatory logic
Combinatory logic

Combinatory logic is a notation introduced by Moses Sch?nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages....
, the looping combinator, (? x. x x) (? x. x x)

In statistics
Statistics

Statistics is a Mathematics pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It also provides tools for prediction and forecasting based on data....
, it is used as the symbol for the sample space
Sample space

In probability theory, the sample space or universal sample space, often denoted S, O, or U , of an experiment or random trial and error is the set of all possible outcomes....
, or total set of possible outcomes.
In astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
(cosmology
Physical cosmology

Physical cosmology, as a branch of astronomy, is the study of the largest-scale structures and dynamics of our universe and is concerned with fundamental questions about its formation and evolution....
) O refers to the density of the universe, also called the density parameter.
The symbol of the resistance movement
Resistance movement

A resistance movement is a group or collection of individual groups, dedicated to fighting an invader in an military occupation country or the government of a sovereign nation through either the use of physical force, or nonviolence....
against the Vietnam-era draft
Year or date of death
The logo of the popular PlayStation
PlayStation

The PlayStation is a 32-bit history of video game consoles video game console released by Sony Computer Entertainment in December .The PlayStation was the first of the ubiquitous PlayStation ....
franchise God of War.
The logo of Omega Watches
Omega Watches

Omega SA is a high-end watch company based in Biel/Bienne Switzerland. Omega is currently owned by the Swatch Group....
SA.

The symbol ? (lower case letter)

The minuscule letter ? is used as a symbol:

In textual criticism
Textual criticism

Textual criticism is a branch of literary criticism that is concerned with the identification and removal of transcription errors in the Writing of manuscripts....
, the archetype
Archetype

An archetype is an original model of a person, ideal example, or a prototype after which others are copied, patterned, or emulated; a symbol universally recognized by all....
of a manuscript tradition
In physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
, angular velocity
Angular velocity

In physics, the angular velocity is a vector quantity which specifies the angular speed, and axis about which an object is rotating. The SI unit of angular velocity is radians per second, although it may be measured in other units such as degrees per second, revolutions per second, degrees per hour, etc....
and angular frequency
Angular frequency

In physics , angular frequency ? is a scalar measure of rotation rate. Angular frequency is the magnitude of the vector quantity angular velocity....
In Computational fluid dynamics
Computational fluid dynamics

Computational fluid dynamics is one of the branches of fluid mechanics that uses numerical methods and algorithms to solve and analyze problems that involve fluid flows....
, the specific turbulence dissipation rate
In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, the first transfinite
Transfinite number

Transfinite numbers are cardinal numbers or ordinal numbers that are larger than all finite set numbers, yet not necessarily absolutely infinite....
ordinal number
Ordinal number

In set theory, an ordinal number, or just ordinal, is the order type of a well-order. They are usually identified with hereditarily transitive sets....
, often identified with the set of natural numbers including 0
In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, the complex cube roots of 1
In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, the Wright Omega function
Wright Omega function

In mathematics, the Wright omega function, denoted ?, is defined in terms of the Lambert W function as:...
In mathematics
Mathematics

Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere....
, a generic differential form
Differential form

In the mathematics fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates....
.
In number theory
Number theory

Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study....
, an arithmetic function
Arithmetic function

In number theory, an arithmetic function or arithmetical function is a function defined on the set of natural numbers that takes real or complex values....
In combinatory logic
Combinatory logic

Combinatory logic is a notation introduced by Moses Sch?nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages....
, the self-application combinator, (? x. x x)
In computer science
Computer science

Computer science is the study of the theoretical foundations of information and computation, and of practical techniques for their implementation and application in computer systems....
, in notation related to Big O notation
Big O notation

In mathematics, big O notation describes the asymptotic analysis of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions....
, the asymptotically dominant nature of function
Function (mathematics)

The mathematical concept of a function expresses dependence between two quantities, one of which is known and the other which is produced. A function associates a single output to each input element drawn from a fixed Set , such as the real numbers , although different inputs may have the same output....
s
In astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
, as a ranking of a star's brightness
In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
to represent the omega meson
Meson

In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
In linguistics
Linguistics

Linguistics is the science study of natural language. Linguistics encompasses a number of sub-fields. An important topical division is between the study of language structure and the study of Meaning ....
, the phonological word
Phonological word

The phonological word or prosodic word is a Constituent in the phonological hierarchy higher than the syllable and the Foot but lower than Prosodic unit and the phonological phrase....
In circuit analysis and signal processing
Signal processing

Signal processing is the analysis, interpretation, and manipulation of signal . Signals of interest include: audio signal processing, , time-varying measurement values and sensor data, for example biological data such as electrocardiograms, control system signals, telecommunication transmission signals such as radio signals, and many others....
to represent natural frequency, related to frequency
Frequency

Frequency is the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency.The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency....
f by ? = 2pf.
In biochemistry
Biochemistry

Biochemistry is the study of the chemistry processes in living organisms. It deals with the structure and function of cellular components such as proteins, carbohydrates, lipids, nucleic acids and other biomolecules....
to denote the carbon atom furthest from the carboxyl group
Carboxyl group

A carboxyl group is a set of four atoms bonded together and present in carboxylic acids, including amino acid. Usually abbreviated as either CO2H or COOH, this set of atoms constitutes a functional group....
of a fatty acid
Fatty acid

In chemistry, especially biochemistry, a fatty acid is a carboxylic acid often with a long unbranched aliphatic tail , which is either saturation or Unsaturated compound....
.
Used in place of ?
?

or is a letter derived from the Latin alphabet. Both glyphs of the majuscule and Lower case forms of this letter are based on the rotated form of a minuscule e; a similar letter with identical minuscule is used in the Pan-Nigerian Alphabet, but has the capital form majuscule , based on a horizontally flipped majuscule E....
in Japanese typing shorthand.
In relational database
Relational database

A relational database is a database that groups data using common attributes found in the data set. The resulting "clumps" of organized data are much easier for people to understand....
theory to represent NULL
Null (SQL)

Null is a special marker used in SQL to indicate that a data value does not exist in the database. Introduced by the creator of the Relational model database model, Edgar F....
, a missing or inapplicable value.
In phonology
Phonology

Phonology is the systematic use of sound to encode meaning in any spoken human language, or the field of linguistics studying this use. Just as a language has syntax and vocabulary, it also has a phonology in the sense of a sound system....
, for a prosodic (or phonological) word
Phonological word

The phonological word or prosodic word is a Constituent in the phonological hierarchy higher than the syllable and the Foot but lower than Prosodic unit and the phonological phrase....
.
In biochemistry
Biochemistry

Biochemistry is the study of the chemistry processes in living organisms. It deals with the structure and function of cellular components such as proteins, carbohydrates, lipids, nucleic acids and other biomolecules....
, for one of the RNA
RNA

Ribonucleic acid is a type of molecule that consists of a long chain of nucleotide units. Each nucleotide consists of a nucleobase, a ribose sugar, and a phosphate....
Polymerase
Polymerase

A polymerase is an enzyme whose central function is associated with polymers of nucleic acids such as RNA and DNA.The primary function of a polymerase is the polymerization of new DNA or RNA against an existing DNA or RNA template in the processes of DNA replication and Transcription ....
subunits.
In genomics
Genomics

Genomics is the study of the genomes of organisms. The field includes intensive efforts to determine the entire DNA sequence of organisms and fine-scale genetic mapping efforts....
, as a measure of evolution
Evolution

In biology, evolution is change in the heritability trait of a population of organisms from one generation to the next. These changes are caused by a combination of three main processes: variation, reproduction, and selection....
at the protein level.