Sha or Shu (Ш ш; italics: ''Ш ш'') is a letter of the

Glagolitic The Glagolitic script (, , ''glagolitsa'') is the oldest known Slavic alphabet. It is generally agreed to have been created in the 9th century by Saint Cyril, a monk from Thessalonica. He and his brother Saint Methodius were sent by the Byzan ...

and Cyrillic scripts. It commonly represents the

voiceless postalveolar fricative A voiceless postalveolar fricative is a type of consonantal sound used in some spoken languages. The International Phonetic Association uses the term ''voiceless postalveolar fricative'' only for the sound , but it also describes the voiceless ...

. More precisely, the sound in Russian denoted by ш is commonly transcribed as a palatoalveolar fricative but is actually a voiceless retroflex fricative. It is used in every variation of the Cyrillic alphabet for Slavic and non-Slavic languages. In English, Sha 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 sh or as š, the latter being the equivalent letter in the Latin alphabets of Czech, Slovak, Slovene,

Serbo-Croatian Serbo-Croatian () – also called Serbo-Croat (), Serbo-Croat-Bosnian (SCB), Bosnian-Croatian-Serbian (BCS), and Bosnian-Croatian-Montenegrin-Serbian (BCMS) – is a South Slavic language and the primary language of Serbia, Croatia, Bosnia an ...

Macedonian Macedonian most often refers to someone or something from or related to Macedonia. Macedonian(s) may specifically refer to: People Modern * Macedonians (ethnic group), a nation and a South Slavic ethnic group primarily associated with North M ...

, Latvian and

Lithuanian Lithuanian may refer to: * Lithuanians * Lithuanian language * The country of Lithuania * Grand Duchy of Lithuania * Culture of Lithuania * Lithuanian cuisine * Lithuanian Jews as often called "Lithuanians" (''Lita'im'' or ''Litvaks'') by other Jew ...

History

Sha has its earliest origins in Phoenician Shin and is possibly linked closely to Shin's

Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed last common ancestor ...

equivalent:

Sigma Sigma (; uppercase Σ, lowercase σ, lowercase in word-final position ς; grc-gre, σίγμα) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase Σ is used ...

(Σ, σ, ς). (The similar form of the modern

Hebrew Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved ...

Shin (ש), which is probably where the Cyrillic letter was actually derived from, derives from the same Proto-Canaanite source). Sha already possessed its current form in

Saints Cyril and Methodius Cyril (born Constantine, 826–869) and Methodius (815–885) were two brothers and Byzantine Christian theologians and missionaries. For their work evangelizing the Slavs, they are known as the "Apostles to the Slavs". They are credited wi ...

Glagolitic alphabet The Glagolitic script (, , ''glagolitsa'') is the oldest known Slavic alphabet. It is generally agreed to have been created in the 9th century by Saint Cyril, a monk from Thessalonica. He and his brother Saint Methodius were sent by the Byz ...

. Most Cyrillic letter-forms were derived from the Greek, but as there was no Greek sign for the Sha sound (modern Greek uses simply "Σ/σ/ς" to spell the sh-sound in foreign words and names), Glagolitic Sha was adopted unchanged. There is also a possibility that Sha was taken from the

Coptic alphabet The Coptic alphabet is the script used for writing the Coptic language. The repertoire of glyphs is based on the Greek alphabet augmented by letters borrowed from the Egyptian Demotic and is the first alphabetic script used for the Egyptian la ...

, which is the same as the Greek alphabet but with a few letters added at the end, including one called "shai" (Ϣϣ) which somewhat resembles both sha and

shcha Shcha (Щ щ; italics: ), Shta or Sha with descender is a letter of the Cyrillic script. In Russian, it represents the voiceless alveolo-palatal fricative , similar to the pronunciation of in ''sheep'' (but longer). In Ukrainian and R ...

(Щ, щ) in appearance.

Use in mathematics

The Cyrillic letter Ш is internationally used in mathematics for several concepts: In algebraic geometry, the Tate–Shafarevich group of an

Abelian variety In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functi ...

''A'' over a field ''K'' is denoted Ш(''A''/''K''), a notation first suggested by J. W. S. Cassels. (Previously it had been denoted ''TS''.) Presumably the choice comes from the first letter of Шафаре́вич = Shafarevich. In a different mathematical context, some authors allude to the shape of the letter Sha when they use the term ''Shah function'' for what is otherwise called a

Dirac comb In mathematics, a Dirac comb (also known as shah function, impulse train or sampling function) is a periodic function with the formula \operatorname_(t) \ := \sum_^ \delta(t - k T) for some given period T. Here ''t'' is a real variable and t ...

History

Use in mathematics

Related letters

Computing codes

References

External links