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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 we ...
. 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 peri ...
, the letter gamma represented a voiced velar stop . 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 th ...
(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 transcription, phonetic notation based primarily on the Latin script. It was devised by the International Phonetic Association in the late 19th century as a standa ...
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, Kashmiri ...
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 ''graphemics' ...
represented the /g/ phoneme in the Canaanite language, 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, wikt:אלפבית, 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 languag ...
. Based on its name, the letter has been interpreted as an abstract representation of a
camel A camel (from: la, camelus and grc-gre, κάμηλος (''kamēlos'') from Hebrew or Phoenician: גָמָל ''gāmāl''.) is an even-toed ungulate in the genus ''Camelus'' that bears distinctive fatty deposits known as "humps" on its back. C ...
'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 ja ...
. In
Archaic Greece Archaic Greece was the period in Greek history lasting from circa 800 BC to the second Persian invasion of Greece in 480 BC, following the Greek Dark Ages and succeeded by the Classical period. In the archaic period, Greeks settled across the ...
, 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 rise ...
(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 letter ...
C and G, Runic '' kaunan'' ,
Gothic Gothic or Gothics may refer to: People and languages *Goths or Gothic people, the ethnonym of a group of East Germanic tribes **Gothic language, an extinct East Germanic language spoken by the Goths **Crimean Gothic, the Gothic language spoken b ...
''geuua'' , the
Coptic Coptic may refer to: Afro-Asia * Copts, an ethnoreligious group mainly in the area of modern Egypt but also in Sudan and Libya * Coptic language, a Northern Afro-Asiatic language spoken in Egypt until at least the 17th century * Coptic alphabet ...
Ⲅ, and the
Cyrillic , bg, кирилица , mk, кирилица , russian: кириллица , sr, ћирилица, uk, кирилиця , fam1 = Egyptian hieroglyphs , fam2 = Proto-Sinaitic , fam3 = Phoenician , fam4 = G ...
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-E ...
''*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 th ...
() before a
front vowel A front vowel is a class of vowel sounds used in some spoken languages, its defining characteristic being that the highest point of the tongue is positioned as far forward as possible in the mouth without creating a constriction that would otherw ...
(/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 . 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 an ...
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 Nesto ...
to indicate voiced consonants. The gamma was also added to the Latin alphabet, as
Latin gamma The Latin letter gamma, Ɣ (minuscule: ɣ), is a letter used in some orthographies based on the Latin alphabet. Its uppercase and lowercase shape is based on the lowercase shape of the Greek letter gamma (γ). Unlike the Greek gamma, the Latin ...
, 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 transcription, phonetic notation based primarily on the Latin script. It was devised by the International Phonetic Association in the late 19th century as a standa ...
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. 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. 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 The languages of Africa are divided into several major language families: * Niger–Congo or perhaps Atlantic–Congo languages (includes Bantu and non-Bantu, and possibly Mande and others) are spoken in West, Central, Southeast and Southern ...
such as
Dagbani Dagbani (or Dagbane), also known as Dagbanli and Dagbanle, is a Gur language spoken in Ghana and Northern Togo. Its native speakers are estimated around 3,160,000. It is a compulsory subject in primary and junior high school in the Dagbon Kingdo ...
, Dinka, Kabye, and Ewe, and
Berber languages The Berber languages, also known as the Amazigh languages or Tamazight,, ber, label=Tuareg Tifinagh, ⵜⵎⵣⵗⵜ, ) are a branch of the Afroasiatic language family. They comprise a group of closely related languages spoken by Berber commun ...
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 languages ...
.


Mathematics and science


Lowercase

The lowercase letter \gamma is used as a symbol for: * Chromatic number 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 conne ...
*
Gamma radiation A gamma ray, also known as gamma radiation (symbol γ or \gamma), is a penetrating form of electromagnetic radiation arising from the radioactive decay of atomic nuclei. It consists of the shortest wavelength electromagnetic waves, typically s ...
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 always ...
, the elementary particle of light and other
electromagnetic radiation In physics, electromagnetic radiation (EMR) consists of waves of the electromagnetic field, electromagnetic (EM) field, which propagate through space and carry momentum and electromagnetic radiant energy. It includes radio waves, microwaves, inf ...
*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 *
Surface energy In surface science, surface free energy (also interfacial free energy or surface energy) quantifies the disruption of intermolecular bonds that occurs when a surface is created. In solid-state physics, surfaces must be intrinsically less energe ...
in materials science *The Lorentz factor 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 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, which ...
*The heat capacity ratio ''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 the ...
*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 (or ...
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 the ...
*The
gyromagnetic ratio In physics, the gyromagnetic ratio (also sometimes known as the magnetogyric ratio in other disciplines) of a particle or system is the ratio of its magnetic moment to its angular momentum, and it is often denoted by the symbol , gamma. Its SI u ...
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 a ...
*
Gamma wave A gamma wave or gamma Rhythm is a pattern of neural oscillation in humans with a frequency between 25 and 140 Hz, the 40- Hz point being of particular interest. Gamma rhythms are correlated with large scale brain network activity and cognitive ...
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, development ...
* Gamma motor neurons 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, development ...
*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 mathema ...
unit of measure A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multip ...
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 elementar ...
equal to one microgram (1 μg). This always-rare use is currently deprecated. *A non- SI
unit of measure A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multip ...
of magnetic flux density, 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'' som ...
, 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_\text = ...
*The Euler–Mascheroni constant *In civil and mechanical engineering: ** Specific weight **The shear rate 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 rest ...
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, J.; ...
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 In the nomenclature of organic chemistry, a locant is a term to indicate the position of a functional group or substituent within a molecule. Numeric locants The International Union of Pure and Applied Chemistry (IUPAC) recommends the use of n ...
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 In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \t ...
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 form ...
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, which ...
*The Christoffel symbols 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 distri ...
is a two-parameter family of continuous probability distributions. *In
solid-state physics Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the l ...
, the center of the Brillouin zone *
Circulation Circulation may refer to: Science and technology * Atmospheric circulation, the large-scale movement of air * Circulation (physics), the path integral of the fluid velocity around a closed curve in a fluid flow field * Circulatory system, a bio ...
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 bio ...
*As
reflection coefficient In physics and electrical engineering the reflection coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium. It is equal to the ratio of the amplitude of the reflected wa ...
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 In mathematics, the Feferman–Schütte ordinal Γ0 is a large countable ordinal. It is the proof-theoretic ordinal of several mathematical theories, such as arithmetical transfinite recursion. It is named after Solomon Feferman and Kurt Schütte, ...
\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) - deadly tropical storm that impacted Honduras
Hurricane Gamma Hurricane Gamma was a Category 1 hurricane that brought heavy rains, flooding, and landslides to the Yucatán Peninsula in early October 2020. The twenty-fifth depression, twenty-fourth named storm and ninth hurricane of the extremely active 202 ...
(
2020 2020 was heavily defined by the COVID-19 pandemic, which led to global Social impact of the COVID-19 pandemic, social and Economic impact of the COVID-19 pandemic, economic disruption, mass cancellations and postponements of events, COVID- ...
) - hurricane that affected the Yucatan Peninsula


Encoding


HTML

The
HTML entities In SGML, HTML and XML documents, the logical constructs known as ''character data'' and ''attribute values'' consist of sequences of characters, in which each character can manifest directly (representing itself), or can be represented by a series ...
for uppercase and lowercase gamma are Γ and γ.


Unicode

* Greek Gamma * Coptic Gamma *
Latin Gamma The Latin letter gamma, Ɣ (minuscule: ɣ), is a letter used in some orthographies based on the Latin alphabet. Its uppercase and lowercase shape is based on the lowercase shape of the Greek letter gamma (γ). Unlike the Greek gamma, the Latin ...
/ 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_\text = ...
* Gammadion – symbol that appears to look like a swastika, but pre-dates the Nazi Hakenkreuz (Hooked-Cross)


References

{{reflist Greek letters Gz