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Gamma (uppercase , lowercase ; ''gámma'') is the third letter of 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 system of
Greek numerals Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to tho ...
it has a value of 3. In
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 ...
, the letter gamma represented a
voiced velar stop The voiced velar plosive or stop is a type of consonantal sound used in many spoken languages. Some languages have the voiced pre-velar plosive, which is articulated slightly more front compared with the place of articulation of the prototyp ...
. 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 ...
, this letter represents either a
voiced velar fricative The voiced velar fricative is a type of consonantal sound that is used in various spoken languages. It is not found in Modern English but existed in Old English. The symbol in the International Phonetic Alphabet that represents this sound is , ...
or a
voiced palatal fricative The voiced palatal fricative is a type of consonantal sound used in some spoken languages. The symbol in the International Phonetic Alphabet (IPA) that represents this sound is (crossed-tail j), and the equivalent X-SAMPA symbol is j\. It is t ...
(while /g/ in foreign words is instead commonly transcribed as γκ). In the
International Phonetic Alphabet The International Phonetic Alphabet (IPA) is an alphabetic system of phonetic notation based primarily on the Latin script. It was devised by the International Phonetic Association in the late 19th century as a standardized representation ...
and other modern Latin-alphabet based phonetic notations, it represents the voiced velar fricative.


History

The Greek letter Gamma Γ is a grapheme derived from the Phoenician letter (''gīml'') which was rotated from the
right-to-left script In a script (commonly shortened to right to left or abbreviated RTL, RL-TB or R2L), writing starts from the right of the page and continues to the left, proceeding from top to bottom for new lines. Arabic, Hebrew, Persian, Pashto, Urdu, Kashmir ...
of Canaanite to accommodate the Greek language's writing system of left-to-right. The Canaanite
grapheme In linguistics, a grapheme is the smallest functional unit of a writing system. The word ''grapheme'' is derived and the suffix ''-eme'' by analogy with ''phoneme'' and other names of emic units. The study of graphemes is called '' graphemi ...
represented the /g/ phoneme in the
Canaanite language The Canaanite languages, or Canaanite dialects, are one of the three subgroups of the Northwest Semitic languages, the others being Aramaic and Ugaritic, all originating in the Levant and Mesopotamia. They are attested in Canaanite inscriptions ...
, and as such is cognate with ''
gimel Gimel is the third letter of the Semitic abjads, including Phoenician Gīml , Hebrew Gimel , Aramaic Gāmal , Syriac Gāmal , and Arabic (in alphabetical order; fifth in spelling order). Its sound value in the original Phoenician and in all d ...
'' ג of the
Hebrew alphabet The Hebrew alphabet ( he, אָלֶף־בֵּית עִבְרִי, ), known variously by scholars as the Ktav Ashuri, Jewish script, square script and block script, is an abjad script used in the writing of the Hebrew language and other Jewi ...
. Based on its name, the letter has been interpreted as an abstract representation of a camel's neck, but this has been criticized as contrived, and it is more likely that the letter is derived from an Egyptian hieroglyph representing a club or
throwing stick The throwing stick or throwing club is a wooden rod with either a pointed tip or a spearhead attached to one end, intended for use as a weapon. A throwing stick can be either straight or roughly boomerang-shaped, and is much shorter than the j ...
. In Archaic Greece, the shape of gamma was closer to a classical
lambda Lambda (}, ''lám(b)da'') is the 11th letter of the Greek alphabet, representing the voiced alveolar lateral approximant . In the system of Greek numerals, lambda has a value of 30. Lambda is derived from the Phoenician Lamed . Lambda gave ri ...
(Λ), while lambda retained the Phoenician L-shape (). Letters that arose from the Greek gamma include Etruscan (Old Italic) 𐌂,
Roman Roman or Romans most often refers to: *Rome, the capital city of Italy *Ancient Rome, Roman civilization from 8th century BC to 5th century AD *Roman people, the people of ancient Rome *'' Epistle to the Romans'', shortened to ''Romans'', a lette ...
C and G,
Runic Runes are the letters in a set of related alphabets known as runic alphabets native to the Germanic peoples. Runes were used to write various Germanic languages (with some exceptions) before they adopted the Latin alphabet, and for specialised ...
''
kaunan The ''k''-rune (Younger Futhark , Anglo-Saxon futhorc ) is called Kaun in both the Norwegian and Icelandic rune poems, meaning " ulcer". The reconstructed Proto-Germanic name is *Kauną. It is also known as Kenaz ("torch"), based on its An ...
'' , Gothic ''geuua'' , the Coptic Ⲅ, and the Cyrillic letters Г and Ґ.


Greek phoneme

The Ancient Greek /g/ phoneme was the voiced velar stop, continuing the reconstructed
proto-Indo-European Proto-Indo-European (PIE) is the reconstructed common ancestor of the Indo-European language family. Its proposed features have been derived by linguistic reconstruction from documented Indo-European languages. No direct record of Proto-Indo- ...
''*g'', ''*ǵ''. The modern Greek phoneme represented by gamma is realized either as a
voiced palatal fricative The voiced palatal fricative is a type of consonantal sound used in some spoken languages. The symbol in the International Phonetic Alphabet (IPA) that represents this sound is (crossed-tail j), and the equivalent X-SAMPA symbol is j\. It is t ...
() before a front vowel (/e/, /i/), or as a
voiced velar fricative The voiced velar fricative is a type of consonantal sound that is used in various spoken languages. It is not found in Modern English but existed in Old English. The symbol in the International Phonetic Alphabet that represents this sound is , ...
in all other environments. Both in Ancient and in Modern Greek, before other
velar consonant Velars are consonants articulated with the back part of the tongue (the dorsum) against the soft palate, the back part of the roof of the mouth (known also as the velum). Since the velar region of the roof of the mouth is relatively extensive an ...
s (κ, χ, ξ ''k, kh, ks''), gamma represents a
velar nasal The voiced velar nasal, also known as agma, from the Greek word for 'fragment', is a type of consonantal sound used in some spoken languages. It is the sound of ''ng'' in English ''sing'' as well as ''n'' before velar consonants as in ''Englis ...
. A double gamma γγ represents the sequence (phonetically varying ) or .


Phonetic transcription

Lowercase Greek gamma is used in the
Americanist phonetic notation Americanist phonetic notation, also known as the North American Phonetic Alphabet (NAPA), the Americanist Phonetic Alphabet or the American Phonetic Alphabet (APA), is a system of phonetic notation originally developed by European and American ...
and
Uralic Phonetic Alphabet The Uralic Phonetic Alphabet (UPA) or Finno-Ugric transcription system is a phonetic transcription or notational system used predominantly for the transcription and reconstruction of Uralic languages. It was first published in 1901 by Eemil Nes ...
to indicate voiced consonants. The gamma was also added to the Latin alphabet, as Latin gamma, in the following forms: majuscule Ɣ, minuscule ɣ, and superscript modifier letter ˠ. In the
International Phonetic Alphabet The International Phonetic Alphabet (IPA) is an alphabetic system of phonetic notation based primarily on the Latin script. It was devised by the International Phonetic Association in the late 19th century as a standardized representation ...
the minuscule letter is used to represent a
voiced velar fricative The voiced velar fricative is a type of consonantal sound that is used in various spoken languages. It is not found in Modern English but existed in Old English. The symbol in the International Phonetic Alphabet that represents this sound is , ...
and the superscript modifier letter is used to represent
velarization Velarization is a secondary articulation of consonants by which the back of the tongue is raised toward the velum during the articulation of the consonant. In the International Phonetic Alphabet, velarization is transcribed by one of four di ...
. It is not to be confused with the character , which looks like a lowercase Latin gamma that lies above the baseline rather than crossing, and which represents the
close-mid back unrounded vowel The close-mid back unrounded vowel, or high-mid back unrounded vowel, is a type of vowel sound, used in some spoken languages. Its symbol in the International Phonetic Alphabet is , called "ram's horns." This symbol is distinct from the symbol f ...
. In certain nonstandard variations of the IPA, the uppercase form is used. It is as a full-fledged majuscule and minuscule letter in the alphabets of some of languages of Africa such as Dagbani,
Dinka The Dinka people ( din, Jiɛ̈ɛ̈ŋ) are a Nilotic ethnic group native to South Sudan with a sizable diaspora population abroad. The Dinka mostly live along the Nile, from Jonglei to Renk, in the region of Bahr el Ghazal, Upper Nile (two out ...
, Kabye, and Ewe, and Berber languages using the Berber Latin alphabet. It is sometimes also used in the romanization of
Pashto Pashto (,; , ) is an Eastern Iranian language in the Indo-European language family. It is known in historical Persian literature as Afghani (). Spoken as a native language mostly by ethnic Pashtuns, it is one of the two official langua ...
.


Mathematics and science


Lowercase

The lowercase letter \gamma is used as a symbol for: *
Chromatic number In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices ...
of 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 ...
* Gamma radiation in
nuclear physics Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies the ...
*The
photon A photon () is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the force carrier for the electromagnetic force. Photons are massless, so they a ...
, the elementary particle of light and other
electromagnetic radiation In physics, electromagnetic radiation (EMR) consists of waves of the electromagnetic (EM) field, which propagate through space and carry momentum and electromagnetic radiant energy. It includes radio waves, microwaves, infrared, (visible) li ...
*The 434 nm
spectral line A spectral line is a dark or bright line in an otherwise uniform and continuous spectrum, resulting from emission or absorption of light in a narrow frequency range, compared with the nearby frequencies. Spectral lines are often used to iden ...
in the
Balmer series The Balmer series, or Balmer lines in atomic physics, is one of a set of six named series describing the spectral line emissions of the hydrogen atom. The Balmer series is calculated using the Balmer formula, an empirical equation discovered b ...
* Surface energy in materials science *The
Lorentz factor The Lorentz factor or Lorentz term is a quantity expressing how much the measurements of time, length, and other physical properties change for an object while that object is moving. The expression appears in several equations in special relativit ...
in the
theory of relativity The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and 1915, respectively. Special relativity applies to all physical phenomena in ...
*In mathematics, the lower incomplete gamma function *The
heat capacity ratio In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure () to heat capacity at constant vol ...
''Cp''  /''Cv'' in
thermodynamics Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of th ...
*The
activity coefficient In thermodynamics, an activity coefficient is a factor used to account for deviation of a mixture of chemical substances from ideal behaviour. In an ideal mixture, the microscopic interactions between each pair of chemical species are the same ( ...
in
thermodynamics Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of th ...
*The gyromagnetic ratio in
electromagnetism In physics, electromagnetism is an interaction that occurs between particles with electric charge. It is the second-strongest of the four fundamental interactions, after the strong force, and it is the dominant force in the interactions of ...
* Gamma waves in
neuroscience Neuroscience is the scientific study of the nervous system (the brain, spinal cord, and peripheral nervous system), its functions and disorders. It is a multidisciplinary science that combines physiology, anatomy, molecular biology, developme ...
*
Gamma motor neuron A gamma motor neuron (γ motor neuron), also called gamma motoneuron, or fusimotor neuron, is a type of lower motor neuron that takes part in the process of muscle contraction, and represents about 30% of ( Aγ) fibers going to the muscle. Like ...
s in
neuroscience Neuroscience is the scientific study of the nervous system (the brain, spinal cord, and peripheral nervous system), its functions and disorders. It is a multidisciplinary science that combines physiology, anatomy, molecular biology, developme ...
*A non- SI
metric Metric or metrical may refer to: * Metric system, an internationally adopted decimal system of measurement * An adjective indicating relation to measurement in general, or a noun describing a specific type of measurement Mathematics In mathem ...
unit of measure of
mass Mass is an intrinsic property of a body. It was traditionally believed to be related to the quantity of matter in a physical body, until the discovery of the atom and particle physics. It was found that different atoms and different eleme ...
equal to one
microgram In the metric system, a microgram or microgramme is a unit of mass equal to one millionth () of a gram. The unit symbol is μg according to the International System of Units (SI); the recommended symbol in the United States and United Kingdom whe ...
(1 μg). This always-rare use is currently deprecated. *A non- SI unit of measure of
magnetic flux density A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
, sometimes used in
geophysics Geophysics () is a subject of natural science concerned with the physical processes and physical properties of the Earth and its surrounding space environment, and the use of quantitative methods for their analysis. The term ''geophysics'' so ...
, equal to 1 nano tesla (nT). *The power by which the luminance of an image is increased in
gamma correction Gamma correction or gamma is a nonlinear operation used to encode and decode luminance or tristimulus values in video or still image systems. Gamma correction is, in the simplest cases, defined by the following power-law expression: : V_\tex ...
*The
Euler–Mascheroni constant Euler's constant (sometimes also called the Euler–Mascheroni constant) is a mathematical constant usually denoted by the lowercase Greek letter gamma (). It is defined as the limiting difference between the harmonic series and the natural l ...
*In civil and mechanical engineering: **
Specific weight The specific weight, also known as the unit weight, is the weight per unit volume of a material. A commonly used value is the specific weight of water on Earth at , which is .National Council of Examiners for Engineering and Surveying (2005). ''Fu ...
**The
shear rate In physics, shear rate is the rate at which a progressive shearing deformation is applied to some material. Simple shear The shear rate for a fluid flowing between two parallel plates, one moving at a constant speed and the other one stationary ...
of a fluid is represented by a lowercase gamma with a dot above it: \dot \gamma **
Austenite Austenite, also known as gamma-phase iron (γ-Fe), is a metallic, non-magnetic allotrope of iron or a solid solution of iron with an alloying element. In plain-carbon steel, austenite exists above the critical eutectoid temperature of 1000 K ...
(also known as γ-iron), a metallic non-magnetic allotrope or solid solution of iron. *The gamma carbon, the third carbon attached to a
functional group In organic chemistry, a functional group is a substituent or moiety in a molecule that causes the molecule's characteristic chemical reactions. The same functional group will undergo the same or similar chemical reactions regardless of the re ...
in
organic chemistry Organic chemistry is a subdiscipline within chemistry involving the scientific study of the structure, properties, and reactions of organic compounds and organic materials, i.e., matter in its various forms that contain carbon atoms.Clayden, ...
and
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 ...
; see Alpha and beta carbon The lowercase Latin gamma ɣ can also be used in contexts (such as chemical or molecule nomenclature) where gamma must not be confused with the letter y, which can occur in some computer typefaces.


Uppercase

The uppercase letter \Gamma is used as a symbol for: *In mathematics, the
gamma function In mathematics, the gamma function (represented by , the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except ...
(usually written as \Gamma-function) is an extension of the factorial to
complex number In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the fo ...
s *In mathematics, the
upper incomplete gamma function In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems such as certain integrals. Their respective names stem from their integral definitions, whic ...
*The
Christoffel symbols In mathematics and physics, the Christoffel symbols are an array of numbers describing a metric connection. The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing distanc ...
in differential geometry *In probability theory and statistics, the
gamma distribution In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions. The exponential distribution, Erlang distribution, and chi-square distribution are special cases of the gamma d ...
is a two-parameter family of continuous probability distributions. *In solid-state physics, the center of the
Brillouin zone In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell in reciprocal space. In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the reciprocal lattice ...
* Circulation in
fluid mechanics Fluid mechanics is the branch of physics concerned with the mechanics of fluids ( liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and ...
*As reflection coefficient in physics and electrical engineering *The tape alphabet of a
Turing machine A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer algori ...
*The Feferman–Schütte ordinal \Gamma_0 *One of the Greeks in mathematical finance


Meteorology


Tropical cyclones

The name Gamma has been used twice for tropical cyclones:
Tropical Storm Gamma (2005) Tropical Storm Gamma was the 25th storm of the 2005 Atlantic hurricane season. Gamma formed on November 18 from a tropical wave which had left the coast of Africa on November 3. Between November 13 and November 16 the syste ...
- deadly tropical storm that impacted Honduras Hurricane Gamma (
2020 2020 was heavily defined by the COVID-19 pandemic, which led to global social and economic disruption, mass cancellations and postponements of events, worldwide lockdowns and the largest economic recession since the Great Depression in t ...
) - hurricane that affected the Yucatan Peninsula


Encoding


HTML

The HTML entities for uppercase and lowercase gamma are Γ and γ.


Unicode

* Greek Gamma * Coptic Gamma * Latin Gamma / phonetic Gamma * CJK Square Gamma * Technical / Mathematical Gamma 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 text style.


See also

* Г, г - Ge (Cyrillic) * G, g - Latin *
Gamma correction Gamma correction or gamma is a nonlinear operation used to encode and decode luminance or tristimulus values in video or still image systems. Gamma correction is, in the simplest cases, defined by the following power-law expression: : V_\tex ...
* Gammadion – symbol that appears to look like a swastika, but pre-dates the Nazi Hakenkreuz (Hooked-Cross)


References

{{reflist Greek letters Gz