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Chi (
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 ...
Χ,
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 ...
χ; el, χῖ) is the 22nd 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 ...
.


Greek


Pronunciation


Ancient Greek

Its value 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 ...
was an aspirated
velar stop In phonetics and phonology, a velar stop is a type of consonantal sound, made with the back of the tongue in contact with the soft palate (also known as the velum, hence velar), held tightly enough to block the passage of air (hence a stop consonan ...
(in the
Western Greek alphabet Many local variants of the Greek alphabet were employed in ancient Greece during the archaic and early classical periods, until around 400 BC, when they were replaced by the classical 24-letter alphabet that is the standard today. All forms ...
: /ks/).


Koine Greek

In
Koine Greek Koine Greek (; Koine el, ἡ κοινὴ διάλεκτος, hē koinè diálektos, the common dialect; ), also known as Hellenistic Greek, common Attic, the Alexandrian dialect, Biblical Greek or New Testament Greek, was the common supra-reg ...
and later dialects it became a
fricative A fricative is a consonant manner of articulation, produced by forcing air through a narrow channel made by placing two Place of articulation, articulators close together. These may be the lower lip against the upper teeth, in the case of ; the ba ...
(/) along with Θ and Φ.


Modern Greek

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 ...
, it has two distinct pronunciations: In front of
high High may refer to: Science and technology * Height * High (atmospheric), a high-pressure area * High (computability), a quality of a Turing degree, in computability theory * High (tectonics), in geology an area where relative tectonic uplift to ...
or front vowels ( or ) it is pronounced as a
voiceless palatal fricative The voiceless palatal fricative is a type of consonantal sound used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is , and the equivalent X-SAMPA symbol is C. It is the non-sibilant equiv ...
, as in
German German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ger ...
''ich'' or like the ''h'' in some pronunciations 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 id ...
words ''hew'' and ''human''. In front of
low Low or LOW or lows, may refer to: People * Low (surname), listing people surnamed Low Places * Low, Quebec, Canada * Low, Utah, United States * Lo Wu station (MTR code LOW), Hong Kong; a rail station * Salzburg Airport (ICAO airport code: LO ...
or back vowels (, or ) and
consonants In articulatory phonetics, a consonant is a speech sound that is articulated with complete or partial closure of the vocal tract. Examples are and pronounced with the lips; and pronounced with the front of the tongue; and pronounced w ...
, it is pronounced as a
voiceless velar fricative The voiceless velar fricative is a type of consonantal sound used in some spoken languages. It was part of the consonant inventory of Old English and can still be found in some dialects of English, most notably in Scottish English, e.g. in ''l ...
(), as in German ''ach'' or
Spanish Spanish might refer to: * Items from or related to Spain: ** Spaniards are a nation and ethnic group indigenous to Spain **Spanish language, spoken in Spain and many Latin American countries **Spanish cuisine Other places * Spanish, Ontario, Ca ...
''j''.


Transliteration

Chi is
romanized Romanization or romanisation, in linguistics, is the conversion of text from a different writing system to the Latin script, Roman (Latin) script, or a system for doing so. Methods of romanization include transliteration, for representing writ ...
as in most systematic transliteration conventions, but sometimes is used. In addition, in Modern Greek, it is often also romanized as or in informal practice.


Greek numeral

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 those ...
, it has a value of 600.


Xi

In ancient times, some local forms 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 ...
used the chi instead of xi to represent the /ks/ sound. This was borrowed into the early
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 ...
language, which led to the use of the letter X for the same sound in Latin, and many modern languages that use the
Latin alphabet The Latin alphabet or Roman alphabet is the collection of letters originally used by the ancient Romans to write the Latin language. Largely unaltered with the exception of extensions (such as diacritics), it used to write English and the ...
.


Cyrillic

Chi was also included in the
Cyrillic script The Cyrillic script ( ), Slavonic script or the Slavic script, is a writing system used for various languages across Eurasia. It is the designated national script in various Slavic, Turkic, Mongolic, Uralic, Caucasian and Iranic-speaking cou ...
as the letter Х, with the phonetic value /x/ or /h/.


International Phonetic Alphabet

In the International Phonetic Alphabet, the minuscule chi is the symbol for the
voiceless uvular fricative The voiceless uvular fricative is a type of consonantal sound used in some spoken languages. The symbol in the International Phonetic Alphabet that represents this sound is , the Greek chi. The sound is represented by (ex with underdot) in A ...
.


Chiasmus

Chi is the basis for the name literary
chiastic structure Chiastic structure, or chiastic pattern, is a literary technique in narrative motifs and other textual passages. An example of chiastic structure would be two ideas, A and B, together with variants A' and B', being presented as A,B,B',A'. Chia ...
and the name of
chiasmus In rhetoric, chiasmus ( ) or, less commonly, chiasm (Latin term from Greek , "crossing", from the Greek , , "to shape like the letter Χ"), is a "reversal of grammatical structures in successive phrases or clauses – but no repetition of wor ...
.


Symbolism

In
Plato Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institutio ...
's ''
Timaeus Timaeus (or Timaios) is a Greek name. It may refer to: * ''Timaeus'' (dialogue), a Socratic dialogue by Plato *Timaeus of Locri, 5th-century BC Pythagorean philosopher, appearing in Plato's dialogue *Timaeus (historian) (c. 345 BC-c. 250 BC), Greek ...
'', it is explained that the two bands that form the soul of the world cross each other like the letter Χ. Plato's analogy, along with several other examples of ''chi'' as a symbol occur in Thomas Browne's discourse ''
The Garden of Cyrus ''The Garden of Cyrus'', or ''The Quincuncial Lozenge, or Network Plantations of the Ancients, naturally, artificially, mystically considered'', is a discourse by Sir Thomas Browne. First published in 1658, along with its diptych companion '' Ur ...
'' (1658). Chi or X is often used to abbreviate the name
Christ Jesus, likely from he, יֵשׁוּעַ, translit=Yēšūaʿ, label= Hebrew/Aramaic ( AD 30 or 33), also referred to as Jesus Christ or Jesus of Nazareth (among other names and titles), was a first-century Jewish preacher and religi ...
, as in the holiday
Christmas Christmas is an annual festival commemorating the birth of Jesus Christ, observed primarily on December 25 as a religious and cultural celebration among billions of people around the world. A feast central to the Christian liturgical year ...
(
Xmas Xmas (also X-mas) is a common abbreviation of the word '' Christmas''. It is sometimes pronounced , but ''Xmas'', and variants such as ''Xtemass'', originated as handwriting abbreviations for the typical pronunciation . The "X" comes from the Gr ...
). When fused within a single typespace with the Greek letter
rho Rho (uppercase Ρ, lowercase ρ or ; el, ρο or el, ρω, label=none) is the 17th letter of the Greek alphabet. In the system of Greek numerals it has a value of 100. It is derived from Phoenician letter res . Its uppercase form uses the sa ...
, it is called the
labarum The labarum ( el, λάβαρον) was a '' vexillum'' (military standard) that displayed the " Chi-Rho" symbol ☧, a christogram formed from the first two Greek letters of the word "Christ" ( el, ΧΡΙΣΤΟΣ, or Χριστός) – ''Chi'' (� ...
and used to represent the person of Jesus Christ.


Character encodings


Greek chi


Coptic khi


Latin chi


Mathematical chi

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.


Math and science

In statistics, the term chi-squared or \chi^2 has various uses, including the
chi-squared distribution In probability theory and statistics, the chi-squared distribution (also chi-square or \chi^2-distribution) with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. The chi-squar ...
, the
chi-squared test A chi-squared test (also chi-square or test) is a statistical hypothesis test used in the analysis of contingency tables In statistics, a contingency table (also known as a cross tabulation or crosstab) is a type of table in a matrix format ...
, and
chi-squared target models Fluctuation loss is an effect seen in radar systems as the target object moves or changes its orientation relative to the radar system. It was extensively studied during the 1950s by Peter Swerling, who introduced the Swerling models to allow the ef ...
. In
algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classif ...
, Chi is used to represent the
Euler characteristic In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological spac ...
of a surface. In
neuroanatomy Neuroanatomy is the study of the structure and organization of the nervous system. In contrast to animals with radial symmetry, whose nervous system consists of a distributed network of cells, animals with bilateral symmetry have segregated, defin ...
,
crossings Crossings may refer to: * ''Crossings'' (Buffy novel), a 2002 original novel based on the U.S. television series ''Buffy the Vampire Slayer'' * Crossings (game), a two-player abstract strategy board game invented by Robert Abbott * ''Crossings'' ...
of
peripheral nerves The peripheral nervous system (PNS) is one of two components that make up the nervous system of bilateral animals, with the other part being the central nervous system (CNS). The PNS consists of nerves and ganglia, which lie outside the brain an ...
(such as the
optic chiasm In neuroanatomy, the optic chiasm, or optic chiasma (; , ), is the part of the brain where the optic nerves cross. It is located at the bottom of the brain immediately inferior to the hypothalamus. The optic chiasm is found in all vertebrate ...
) are named for the letter Chi because of its Χ-shape. In chemistry, the
mole fraction In chemistry, the mole fraction or molar fraction (''xi'' or ) is defined as unit of the amount of a constituent (expressed in moles), ''ni'', divided by the total amount of all constituents in a mixture (also expressed in moles), ''n''tot. This ...
and
electronegativity Electronegativity, symbolized as , is the tendency for an atom of a given chemical element to attract shared electrons (or electron density) when forming a chemical bond. An atom's electronegativity is affected by both its atomic number and the ...
may be denoted by the lowercase \chi. 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 rel ...
, \chi denotes
electric Electricity is the set of physical phenomena associated with the presence and motion of matter that has a property of electric charge. Electricity is related to magnetism, both being part of the phenomenon of electromagnetism, as described b ...
or
magnetic susceptibility In electromagnetism, the magnetic susceptibility (Latin: , "receptive"; denoted ) is a measure of how much a material will become magnetized in an applied magnetic field. It is the ratio of magnetization (magnetic moment per unit volume) to the ap ...
. In
rhetoric Rhetoric () is the art of persuasion, which along with grammar and logic (or dialectic), is one of the three ancient arts of discourse. Rhetoric aims to study the techniques writers or speakers utilize to inform, persuade, or motivate par ...
, both
chiastic structure Chiastic structure, or chiastic pattern, is a literary technique in narrative motifs and other textual passages. An example of chiastic structure would be two ideas, A and B, together with variants A' and B', being presented as A,B,B',A'. Chia ...
(a
literary device A narrative technique (known for literary fictional narratives as a literary technique, literary device, or fictional device) is any of several specific methods the creator of a narrative uses to convey what they want —in other words, a stra ...
) and the
figure of speech A figure of speech or rhetorical figure is a word or phrase that intentionally deviates from ordinary language use in order to produce a rhetorical effect. Figures of speech are traditionally classified into '' schemes,'' which vary the ordinary ...
Chiasmus In rhetoric, chiasmus ( ) or, less commonly, chiasm (Latin term from Greek , "crossing", from the Greek , , "to shape like the letter Χ"), is a "reversal of grammatical structures in successive phrases or clauses – but no repetition of wor ...
derive from their names from the shape of the letter Chi. In
mechanical engineering Mechanical engineering is the study of physical machines that may involve force and movement. It is an engineering branch that combines engineering physics and mathematics principles with materials science, to design, analyze, manufacture, ...
, chi is used as a symbol for the
reduction factor Reduction, reduced, or reduce may refer to: Science and technology Chemistry * Reduction (chemistry), part of a reduction-oxidation (redox) reaction in which atoms have their oxidation state changed. ** Organic redox reaction, a redox reacti ...
of relevant
buckling In structural engineering, buckling is the sudden change in shape ( deformation) of a structural component under load, such as the bowing of a column under compression or the wrinkling of a plate under shear. If a structure is subjected to a ...
loads in the
EN 1993 En or EN may refer to: Businesses * Bouygues (stock symbol EN) * Esquimalt and Nanaimo Railway (reporting mark EN, but now known as Southern Railway of Vancouver Island) * Euronews, a news television and internet channel Language and writing * ...
, a
European Standard European Standards (abbreviated EN, from the German name ("European Norm")) are technical standards which have been ratified by one of the three European standards organizations: European Committee for Standardization (CEN), European Committe ...
for the design of steel structures. 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 ...
, a lowercase chi is used to represent a graph's
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 o ...
.


See also

{{Wiktionary, Χ, χ *
Chi (disambiguation) Chi or CHI may refer to: Greek *Chi (letter), the Greek letter (uppercase Χ, lowercase χ); Chinese * ''Chi'' (length) (尺), a traditional unit of length, about ⅓ meter * Chi (mythology) (螭), a dragon * Chi (surname) (池, pinyin: ''chí ...
* Х, х - Kha (Cyrillic)


References

Greek letters Phonetic transcription symbols