Varepsilon F(x)
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Varepsilon F(x)
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 letter He . Letters that arose from epsilon include the Roman E, Ë and Ɛ, and Cyrillic Е, È, Ё, Є and 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 , 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 medieval Greek handwriting. One, the most common in modern typography and inherited from medieval minuscule, looks like a reversed number " 3" and is encoded . The other, also known as lunate or uncial epsilon and inherited from ear ...
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Longman
Longman, also known as Pearson Longman, is a publisher, publishing company founded in 1724 in London, England, which is owned by Pearson PLC. Since 1968, Longman has been used primarily as an imprint by Pearson's Schools business. The Longman brand is also used for the Longman Schools in China and the ''Longman Dictionary of Contemporary English, Longman Dictionary''. History Beginnings The Longman company was founded by Thomas Longman (1699–1755), Thomas Longman (1699 – 18 June 1755), the son of Ezekiel Longman (died 1708), a gentleman of Bristol. Thomas was apprenticed in 1716 to John Osborn, a London bookseller, and at the expiration of his apprenticeship married Osborn's daughter. In August 1724, he purchased the stock and household goods of William Taylor (bookseller), William Taylor, the first publisher of ''Robinson Crusoe'', for  9s 6d. Taylor's two shops in Paternoster Row, London, were known respectively as the ''Black Swan (St. Paul's Churchyard), Bl ...
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Code Point
A code point, codepoint or code position is a particular position in a Table (database), table, where the position has been assigned a meaning. The table may be one dimensional (a column), two dimensional (like cells in a spreadsheet), three dimensional (sheets in a workbook), etc... in any number of dimensions. Technically, a code point is a unique position in a quantized n-dimensional space, where the position has been assigned a semantic meaning. The table has discrete (whole) and positive positions (1, 2, 3, 4, but not fractions). Code points are used in a multitude of formal information processing and telecommunication standards.ETSI TS 101 773 (section 4), https://www.etsi.org/deliver/etsi_ts/101700_101799/101773/01.02.01_60/ts_101773v010201p.pdf For example ITU-T Recommendation T.35 contains a set of country codes for telecommunications equipment (originally fax machines) which allow equipment to indicate its country of manufacture or operation. In T.35, Argentina is repre ...
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Greek Epsilon Left
Greek may refer to: 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 of all known varieties of Greek **Mycenaean Greek, most ancient attested form of the language (16th to 11th centuries BC) **Ancient Greek, forms of the language used c. 1000–330 BC **Koine Greek, common form of Greek spoken and written during Classical antiquity **Medieval Greek or Byzantine Language, language used between the Middle Ages and the Ottoman conquest of Constantinople **Modern Greek, varieties spoken in the modern era (from 1453 AD) *Greek alphabet, script used to write the Greek language *Greek Orthodox Church, several Churches of the Eastern Orthodox Church *Ancient Greece, the ancient civilization before the end of Antiquity * Old Greek, the language as spoken from Late Antiquity to around 1500 AD *Greek mythology, a body of myths o ...
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Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notation, notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also created an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, while others are in Italian. Biography Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the Universi ...
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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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Sigma
Sigma ( ; uppercase Σ, lowercase σ, lowercase in word-final position ς; ) 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 as an operator (mathematics), operator for summation. When used at the end of a Letter case, letter-case word (one that does not use all caps), the final form (ς) is used. In ' (Odysseus), for example, the two lowercase sigmas (σ) in the center of the name are distinct from the word-final sigma (ς) at the end. The Latin alphabet, Latin letter S derives from sigma while the Cyrillic script, Cyrillic letter Es (Cyrillic), Es derives from a #Lunate sigma, lunate form of this letter. History The shape (Σς) and alphabetic position of sigma is derived from the Phoenician alphabet, Phoenician letter (Shin (letter), ''shin''). Sigma's original name may have been ''san'', but due to the complicated early history of the Greek Archaic Greek alphabets, epich ...
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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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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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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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Uncial Script
Uncial is a majuscule script (written entirely in capital letters) commonly used from the 4th to 8th centuries AD by Latin and Greek scribes. Uncial letters were used to write Greek and Latin, as well as Gothic, and are the current style for Coptic and Nobiin. Development Early uncial script most likely developed from late rustic capitals. Early forms are characterized by broad single-stroke letters using simple round forms taking advantage of the new parchment and vellum surfaces, as opposed to the angular, multiple-stroke letters, which are more suited for rougher surfaces, such as papyrus. In the oldest examples of uncial, such as the fragment of '' De bellis macedonicis'' in the British Library, of the late 1st–early 2nd centuries, all of the letters are disconnected from one another, and word separation is typically not used. Word separation, however, is characteristic of later uncial usage. As the script evolved over the centuries, the characters became more com ...
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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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Minuscule
Letter case is the distinction between the letters that are in larger uppercase or capitals (more formally ''majuscule'') and smaller lowercase (more formally '' minuscule'') in the written representation of certain languages. The writing systems that distinguish between the upper- and lowercase have two parallel sets of letters: each in the majuscule set has a counterpart in the minuscule set. Some counterpart letters have the same shape, and differ only in size (e.g. ), but for others the shapes are different (e.g., ). The two case variants are alternative representations of the same letter: they have the same name and pronunciation and are typically treated identically when sorting in alphabetical order. Letter case is generally applied in a mixed-case fashion, with both upper and lowercase letters appearing in a given piece of text for legibility. The choice of case is often denoted by the grammar of a language or by the conventions of a particular discipline. In orthog ...
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