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Iota
Iota (; uppercase: Ι, lowercase: ι; ) is the ninth letter of the Greek alphabet. It was derived from the Phoenician letter Yodh. Letters that arose from this letter include the Latin I and J, the Cyrillic І (І, і), Yi (Ї, ї), and Je (Ј, ј), and iotated letters (e.g. Yu (Ю, ю)). In the system of Greek numerals, iota has a value of 10. Iota represents the close front unrounded vowel . In early forms of ancient Greek, it occurred in both long and short versions, but this distinction was lost in Koine Greek. Iota participated as the second element in falling diphthongs, with both long and short vowels as the first element. Where the first element was long, the iota was lost in pronunciation at an early date, and was written in polytonic orthography as iota subscript, in other words as a very small ι under the main vowel. Examples include ᾼ ᾳ ῌ ῃ ῼ ῳ. The former diphthongs became digraphs for simple vowels in Koine Greek.see Koine Greek phonology T ...
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Ypogegrammeni
The iota subscript is a diacritic mark in the Greek alphabet shaped like a small vertical stroke or miniature iota placed below the letter. It can occur with the vowel letters eta , omega , and alpha . It represents the former presence of an offglide after the vowel, forming a so‐called "long diphthong". Such diphthongs (i.e., )—phonologically distinct from the corresponding normal or "short" diphthongs (i.e.,  )—were a feature of ancient Greek in the pre-classical and classical eras. The offglide was gradually lost in pronunciation, a process that started already during the classical period and continued during the Hellenistic period, with the result that, from approximately the 1st century BC onwards, the former long diphthongs were no longer distinguished in pronunciation from the simple long vowels (long monophthongs) respectively. During the Roman and Byzantine eras, the iota, now mute, was sometimes still written as a normal letter but was often simply le ...
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Iota Subscript
The iota subscript is a diacritic mark in the Greek alphabet shaped like a small vertical stroke or miniature iota placed below the letter. It can occur with the vowel letters eta , omega , and alpha . It represents the former presence of an offglide after the vowel, forming a so‐called "long diphthong". Such diphthongs (i.e., )—phonologically distinct from the corresponding normal or "short" diphthongs (i.e.,  )—were a feature of ancient Greek in the pre-classical and classical eras. The offglide was gradually lost in pronunciation, a process that started already during the classical period and continued during the Hellenistic period, with the result that, from approximately the 1st century BC onwards, the former long diphthongs were no longer distinguished in pronunciation from the simple long vowels (long monophthongs) respectively. During the Roman and Byzantine eras, the iota, now mute, was sometimes still written as a normal letter but was often simply le ...
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Iotation
In Slavic languages, iotation (, ) is a form of palatalization that occurs when a consonant comes into contact with a palatal approximant from the succeeding phoneme. The is represented by iota (ι) in the Cyrillic alphabet and the Greek alphabet on which it is based. For example, ''ni'' in English ''onion'' has the sound of iotated ''n''. Iotation is a phenomenon distinct from Slavic first palatalization in which only the front vowels are involved, but the final result is similar. Sound change Iotation occurs when a labial (, ), dental (, , ) or velar (, , ) consonant comes into contact with an ''iotified vowel'', i.e. one preceded by a palatal glide . As a result, the consonant becomes partially or completely palatalized. In many Slavic languages, iotated consonants are called "soft" and the process of iotation is called "softening". Iotation can result in a partial palatalization so the centre of the tongue is raised during and after the articulation of the consonant. T ...
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Polytonic Orthography
Greek orthography has used a variety of diacritics starting in the Hellenistic period. The more complex polytonic orthography ( el, πολυτονικό σύστημα γραφής, translit=polytonikó sýstīma grafī́s), which includes five diacritics, notates Ancient Greek phonology. The simpler monotonic orthography ( el, μονοτονικό σύστημα γραφής, translit=monotonikó sýstīma grafīs), introduced in 1982, corresponds to Modern Greek phonology, and requires only two diacritics. Polytonic orthography () is the standard system for Ancient Greek and Medieval Greek. The acute accent (), the circumflex (), and the grave accent () indicate different kinds of pitch accent. The rough breathing () indicates the presence of the sound before a letter, while the smooth breathing () indicates the absence of . Since in Modern Greek the pitch accent has been replaced by a dynamic accent (stress), and was lost, most polytonic diacritics have no phonetic si ...
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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 well as consonants. In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BCE, the Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard and it is this version that is still used for Greek writing today. The uppercase and lowercase forms of the 24 letters are: : , , , , , , , , , , , , , , , , , /ς, , , , , , . The Greek alphabet is the ancestor of the Latin and Cyrillic scripts. Like Latin and Cyrillic, Greek originally had only a single form of each letter; it developed the letter case distinction between uppercase and lowercase in parallel with Latin during the modern era. Sound values and conventional transcriptions for some ...
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Greek Letters
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 well as consonants. In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BCE, the Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard and it is this version that is still used for Greek writing today. The uppercase and lowercase forms of the 24 letters are: : , , , , , , , , , , , , , , , , , /ς, , , , , , . The Greek alphabet is the ancestor of the Latin and Cyrillic scripts. Like Latin and Cyrillic, Greek originally had only a single form of each letter; it developed the letter case distinction between uppercase and lowercase in parallel with Latin during the modern era. Sound values and conventional transcriptions for some of ...
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Inclusion Map
In mathematics, if A is a subset of B, then the inclusion map (also inclusion function, insertion, or canonical injection) is the function \iota that sends each element x of A to x, treated as an element of B: \iota : A\rightarrow B, \qquad \iota(x)=x. A "hooked arrow" () is sometimes used in place of the function arrow above to denote an inclusion map; thus: \iota: A\hookrightarrow B. (However, some authors use this hooked arrow for any embedding.) This and other analogous injective functions from substructures are sometimes called natural injections. Given any morphism f between objects X and Y, if there is an inclusion map into the domain \iota : A \to X, then one can form the restriction f \, \iota of f. In many instances, one can also construct a canonical inclusion into the codomain R \to Y known as the range of f. Applications of inclusion maps Inclusion maps tend to be homomorphisms of algebraic structures; thus, such inclusion maps are embeddings. More prec ...
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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 in which Roman numerals are still used in the Western world. For ordinary cardinal numbers, however, modern Greece uses Arabic numerals. History The Minoan and Mycenaean civilizations' Linear A and Linear B alphabets used a different system, called Aegean numerals, which included number-only symbols for powers of ten:  = 1,  = 10,  = 100,  = 1000, and  = 10000. Attic numerals comprised another system that came into use perhaps in the 7th century BCE. They were acrophonic, derived (after the initial one) from the first letters of the names of the numbers represented. They ran  = 1,  = 5,  = 10,  = 100,  = 1,000, and  =&n ...
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Yu (Cyrillic)
Yu or Ju (Ю ю; italics: ) is a letter of the Cyrillic script used in East Slavic and Bulgarian alphabets. In English, Yu is commonly romanized as (or ). In turn, is used, where is available, in transcriptions of English letter (in open syllables), and also of the digraph. The sound , like in French and in German, may also be approximated by the letter . Pronunciation It is a so-called iotated vowel, pronounced in isolation as , like the pronunciation of in "human". After a consonant, no distinct sound is pronounced, but the consonant is softened. The exact pronunciation of the vowel sound of in Russian depends also on the succeeding sound because of allophony. Before a soft consonant, it is , the close central rounded vowel, as in 'rude'. Before a hard consonant or at the end of a word, the result is a back vowel , as in "new". History Apart from the form ''I-O'', in early Slavonic manuscripts the letter appears also in a mirrored form ''O-I'' (). It is th ...
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APL (programming Language)
APL (named after the book ''A Programming Language'') is a programming language developed in the 1960s by Kenneth E. Iverson. Its central datatype is the multidimensional array. It uses a large range of special graphic symbols to represent most functions and operators, leading to very concise code. It has been an important influence on the development of concept modeling, spreadsheets, functional programming, and computer math packages. It has also inspired several other programming languages. History Mathematical notation A mathematical notation for manipulating arrays was developed by Kenneth E. Iverson, starting in 1957 at Harvard University. In 1960, he began work for IBM where he developed this notation with Adin Falkoff and published it in his book ''A Programming Language'' in 1962. The preface states its premise: This notation was used inside IBM for short research reports on computer systems, such as the Burroughs B5000 and its stack mechanism when stack mac ...
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Latin Iota
Sample "ɩ" from various typefaces. Latin iota (majuscule: , minuscule: ɩ) is a letter of the Latin alphabet, based on the lowercase of the Greek letter iota (ι). It was formerly used in the International Phonetic Alphabet to represent (the vowel in English "bit"). It was replaced by a small capital I (ɪ) in 1989, but it can still be found in use in some later works. Other variations are used for phonetic transcription: ᵼ ι. has been adopted as a letter in the alphabets of some African languages 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 Gurunɛ, Kabiyé or Mossi. Its capital form has a hook to distinguish it from capital I. The accented italic form ''ɩ'' is very often indistinguishable from the italic letter small I ''i'' in serif fonts. Refere ...
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Yi (Cyrillic)
Yi (Ї ї; italics: ) is a letter of the Cyrillic script. Yi is derived from the Greek letter iota with diaeresis. It was the initial variant of the Cyrillic letter Іі, which saw change from two dots to one in 18th century, possibly inspired by similar Latin letter i. Later two variants of the letter separated to become distinct letters in the Ukrainian alphabet. It is used in the Ukrainian alphabet, the Pannonian Rusyn alphabet, and the Prešov Rusyn alphabet of Slovakia, where it represents the iotated vowel sound , like the pronunciation of in "yeast". As the historical variant of the Cyrillic Іі it represented either /i/ (as i in ''pizza'') or /j/ (as y in ''yen''). In various romanization systems of Ukrainian, ''ї'' is represented by Latin letters ''i'' or ''yi'' (word-initially), ''yi'', ''ji'', or even '' ï''. It was formerly also used in the Serbian Cyrillic alphabet in the late 1700s and early 1800s, where it represented the sound ; in this capacity, ...
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