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Epsilon
Epsilon (, ; uppercase , lowercase or ; ) is the fifth letter of the Greek alphabet, corresponding phonetically to a mid front unrounded vowel or . In the system of Greek numerals it also has the value five. It was derived from the Phoenician alphabet, Phoenician letter He (letter), He . Letters that arose from epsilon include the Roman E, Ë and Latin epsilon, Ɛ, and Cyrillic Ye (Cyrillic), Е, Ye with grave, È, Yo (Cyrillic), Ё, Ukrainian Ye, Є and E (Cyrillic), Э. The name of the letter was originally (), but it was later changed to ( 'simple e') in the Middle Ages to distinguish the letter from the digraph (orthography), digraph , a former diphthong that had come to be pronounced the same as epsilon. The uppercase form of epsilon is identical to Latin but has its own code point in Unicode: . The lowercase version has two typographical variants, both inherited from history of the Greek alphabet, medieval Greek handwriting. One, the most common in modern typograph ...
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Epsilon Number
In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map. Consequently, they are not reachable from 0 via a finite series of applications of the chosen exponential map and of "weaker" operations like addition and multiplication. The original epsilon numbers were introduced by Georg Cantor in the context of ordinal arithmetic; they are the ordinal numbers ''ε'' that satisfy the equation :\varepsilon = \omega^\varepsilon, \, in which ω is the smallest infinite ordinal. The least such ordinal is ''ε''0 (pronounced epsilon nought (chiefly British), epsilon naught (chiefly American), or epsilon zero), which can be viewed as the "limit" obtained by transfinite recursion from a sequence of smaller limit ordinals: :\varepsilon_0 = \omega^ = \sup \left\\,, where is the supremum, which is equivalent to set union in the case of the von Neumann representation of ordinals. Larger ordinal ...
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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 BC. It was derived from the earlier Phoenician alphabet, and is the earliest known alphabetic script to systematically write vowels as well as consonants. In Archaic Greece, Archaic and early Classical Greece, Classical times, the Greek alphabet existed in Archaic Greek alphabets, many local variants, but, by the end of the 4th century BC, the Ionia, Ionic-based Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard throughout the Greek-speaking world and is the version that is still used for Greek writing today. The letter case, uppercase and lowercase forms of the 24 letters are: : , , , , , , , , , , , , , , , , , , , , , , , The Greek alphabet is the ancestor of several scripts, such as the Latin script, Latin, Gothic alphabet, Gothic, Coptic script, Coptic, and Cyrillic scripts. Throughout antiquity, Greek had only a single uppercas ...
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Greek Numerals
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, is a numeral system, system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal number (linguistics), ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary cardinal number (linguistics), cardinal numbers, however, modern Greece uses Arabic numerals. History The Minoans, 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 composed another system that came into use perhaps in the 7th century BC. They were acrophonic, derived (after the initial one) from the first letters of the names of the numbers represented. They ran  = 1,  = ...
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Latin Epsilon
Latin epsilon or open E (majuscule: Ɛ, minuscule: ɛ) is a letter of the extended Latin alphabet, based on the lowercase of the Greek letter epsilon (ε). It was introduced in the 16th century by Gian Giorgio Trissino to represent the pronunciation of the "open e" (the letter e pronounced as the open-mid front unrounded vowel) in the Italian language; this use of the letter has since become the standard in IPA notation . Since the 20th century, the letter also occurs in the orthographies of many Niger–Congo and Nilo-Saharan languages, such as Ewe, Akan, Lingala, Dinka and Maasai, for the vowel or , and is included in the African reference alphabet. In the Berber Latin alphabet used in Algerian Berber school books, and before that proposed by the French institute INALCO, it represents a voiced pharyngeal fricative . Some authors use ƹayin instead; both letters are similar in shape with the Arabic ʿayn . Use in phonetic alphabets The International Phonetic Alp ...
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History Of The Greek Alphabet
The history of the Greek alphabet starts with the adoption of Phoenician letter forms in the 9th–8th centuries BC during early Archaic Greece and continues to the present day. The Greek alphabet was developed during the Iron Age, centuries after the loss of Linear B, the syllabic script that was used for writing Mycenaean Greek until the Late Bronze Age collapse and Greek Dark Age. This article concentrates on the development of the alphabet before the modern codification of the standard Greek alphabet. The Phoenician alphabet was consistently explicit only about consonants, though even by the 9th century BC it had developed '' matres lectionis'' to indicate some, mostly final, vowels. This arrangement is much less suitable for Greek than for Semitic languages, and these ''matres lectionis'', as well as several Phoenician letters which represented consonants not present in Greek, were adapted according to the acrophonic principle to represent Greek vowels consistently, if ...
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Euro Sign
The euro sign () is the currency sign used for the euro, the official currency of the eurozone. The design was presented to the public by the European Commission on 12 December 1996. It consists of a stylized letter E (or epsilon), crossed by two lines instead of one. Depending on convention in each nation, the symbol can either precede or follow the value, e.g., ''€10'' or ''10€'', often with an intervening space. Design There were originally 30 proposed designs for a symbol for Europe's new common currency; the Commission short-listed these to ten candidates. These ten were put to a public survey. The President of the European Commission at the time ( Jacques Santer) and the European Commissioner with responsibility for the euro ( Yves-Thibault de Silguy) then chose the winning design. The other designs that were considered are not available for the public to view, nor is any information regarding the designers available for public query. The Commission considers the ...
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Yo (Cyrillic)
Yo, Jo, or, Io (Ё ё; italics: ''Ё'' ''ё''; ) is a letter of the Cyrillic script. In Unicode, the letter is named CYRILLIC CAPITAL/SMALL LETTER IO. In English, the letter Yo is romanized using the Latin ''ë'' (according to the ALA–LC and British Standards), ''ë'' (''yë'' word-initially) (BGN/PCGN romanization, BGN/PCGN) or ''yo/jo'' (orthographic transcription) for Russian, and as ''i͡o'' (ALA–LC), ''yo'' (BGN/PCGN), or ''ë'' (BSI) for Belarusian. In international systems, Yo is romanized as ''ë'' (ISO 9). It was derived from the Cyrillic letter Ye (Cyrillic), Ye (Е е). Pronunciation : ''This section describes the pronunciation in Russian language, Russian and Belarusian language, Belarusian. Other languages may have subtle differences.'' The letter occurs in a Stress (linguistics), stressed syllable in the overwhelming majority of Russian and Belarusian words. In Russian, unstressed occurs only in compound numerals and a few derived terms, whe ...
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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 standard written representation for the sounds of speech. The IPA is used by linguists, lexicography, lexicographers, foreign language students and teachers, speech–language pathology, speech–language pathologists, singers, actors, constructed language creators, and translators. The IPA is designed to represent those qualities of speech that are part of lexical item, lexical (and, to a limited extent, prosodic) sounds in oral language: phone (phonetics), phones, Intonation (linguistics), intonation and the separation of syllables. To represent additional qualities of speechsuch as tooth wikt:gnash, gnashing, lisping, and sounds made with a cleft lip and cleft palate, cleft palatean extensions to the International Phonetic Alphabet, extended set of symbols may be used ...
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Ye (Cyrillic)
E (Е е; italics: ''Е'' ''е''), known in Russian and Belarusian as Ye, Je, or Ie, is a letter of the Cyrillic script. In some languages this letter is called E. It commonly represents the vowel or , like the pronunciation of in "yes". It was derived from the Epsilon, Greek letter epsilon (Ε ε), and the shape is very similar to the E, Latin letter E or another version of E (Cyrillic). Ye is romanized using the E, Latin letter E for Bulgarian, Serbian, Macedonian, Ukrainian and Rusyn, and occasionally Russian (Озеро Байкал, Ozero Baykal), Je for Belarusian (Заслаўе, Zaslaŭje), Ye for Russian (Европа, Yevropa), and Ie occasionally for Russian (Днепр, Dniepr) and Belarusian (Маладзе́чна, Maladziečna). Usage Russian and Belarusian *At the beginning of a word or after a vowel, Ye represents the phonemic combination (phonetically or ), like the pronunciation of in "yes". Ukrainian uses the letter (see Ukrainian Ye) in th ...
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He (letter)
He is the fifth Letter (alphabet), letter of the Semitic abjads, including Phoenician alphabet, Phoenician ''hē'' 𐤄, Hebrew alphabet, Hebrew ''hē'' , Aramaic alphabet, Aramaic ''hē'' 𐡄, Syriac alphabet, Syriac ''hē'' ܗ, and Arabic alphabet, Arabic ''hāʾ'' . It is also related to the Ancient North Arabian 𐪀‎‎‎, Ancient South Arabian script, South Arabian , and Geʽez script, Ge'ez . Its sound value is the voiceless glottal fricative (). The Proto-Canaanite alphabet, proto-Canaanite letter gave rise to the Greek alphabet, Greek Epsilon Ε ε, Etruscan alphabet, Etruscan 𐌄, Latin alphabet, Latin E, Ë and Latin epsilon, Ɛ, and Cyrillic script, Cyrillic Ye (Cyrillic), Е, Yo (Cyrillic), Ё, Ukrainian Ye, Є, E (Cyrillic), Э, and O-hook, Ҩ. ''He'', like all Phoenician letters, represented a consonant, but the Latin, Greek and Cyrillic equivalents have all come to represent vowel sounds. Origins In Proto-Northwest Semitic there were still three voice ...
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Set Membership
In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called containing the first four positive integers (A = \), one could say that "3 is an element of ", expressed notationally as 3 \in A . Sets Writing A = \ means that the elements of the set are the numbers 1, 2, 3 and 4. Sets of elements of , for example \, are subsets of . Sets can themselves be elements. For example, consider the set B = \. The elements of are ''not'' 1, 2, 3, and 4. Rather, there are only three elements of , namely the numbers 1 and 2, and the set \. The elements of a set can be anything. For example the elements of the set C = \ are the color red, the number 12, and the set . In logical terms, (x \in y) \leftrightarrow \forall x _x = y x \in \mathfrak D y. Notation and terminology The binary relation "is an element of", also called set membership, is denoted by the symbol "∈". Writing :x \in A means tha ...
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Glyph Variants
A glyph ( ) is any kind of purposeful mark. In typography, a glyph is "the specific shape, design, or representation of a character". It is a particular graphical representation, in a particular typeface, of an element of written language. A grapheme, or part of a grapheme (such as a diacritic), or sometimes several graphemes in combination (a composed glyph) can be represented by a glyph. Glyphs, graphemes and characters In modern English, symbols like letters and numerical digits are each both single graphemes and single glyphs. In most languages written in any variety of the Latin alphabet except English, the use of diacritics to signify a sound mutation is common. For example, the grapheme requires two glyphs: the basic and the grave accent . In general, a diacritic is regarded as a glyph, even if it is contiguous with the rest of the character like a cedilla in French, Catalan or Portuguese, the ogonek in several languages, or the stroke on a Polish . Although the ...
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