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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 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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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 languages sometimes referred to as Standard Modern Greek. The end of the Medieval Greek period and the beginning of Modern Greek is often symbolically assigned to the fall of the Byzantine Empire in 1453, even though that date marks no clear linguistic boundary and many characteristic features of the modern language arose centuries earlier, beginning around the fourth century AD. During most of the Modern Greek period, the language existed in a situation of diglossia, with regional spoken dialects existing side by side with learned, more archaic written forms, as with the vernacular and learned varieties ('' Dimotiki'' and '' Katharevousa'') that co-existed in Greece throughout much of the 19th and 20th centuries. Varieties Varieties ...
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Te (Cyrillic)
Te (Т т; italics: ) is a letter of the Cyrillic script. It commonly represents the voiceless alveolar plosive , like the pronunciation of in "stop". Ligature ТЬ became ligature . History The Cyrillic letter Te was derived from the Greek letter Tau (Τ τ). The name of Te in the Early Cyrillic alphabet was (''tvrdo''), meaning "hard" or "surly". In the Cyrillic numeral system, Te has a value of 300. Form The capital Cyrillic letter Te (Т т) looks the same as the capital Latin letter T (T t) but, as with most Cyrillic letters, the lowercase form is simply a smaller version of the uppercase. In italic type and cursive, the lowercase form looks like the italic form of the lowercase Latin M , except in Bulgarian, Serbian and Macedonian usage where it looks like an inverted lowercase Latin M, with a stroke above to distinguish it from the otherwise identical italic lowercase letter Sha , which is sometimes written with a stroke below. Compare th ...
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Diaeresis (diacritic)
The diaeresis ( ; is a diacritical mark used to indicate the separation of two distinct vowels in adjacent syllables when an instance of diaeresis (or hiatus) occurs, so as to distinguish from a digraph or diphthong. It consists of two dots placed over a letter, generally a vowel; when that letter is an , the diacritic replaces the tittle: . The diaeresis diacritic indicates that two adjoining letters that would normally form a digraph and be pronounced as one sound, are instead to be read as separate vowels in two syllables. For example, in the spelling "coöperate", the diaeresis reminds the reader that the word has four syllables ''co-op-er-ate'', not three, ''*coop-er-ate''. In British English this usage has been considered obsolete for many years, and in US English, although it persisted for longer, it is now considered archaic as well. Nevertheless, it is still used by the US magazine ''The New Yorker''. In English language texts it is perhaps most familiar in the sp ...
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Greek Orthography
The orthography of the Greek language ultimately has its roots in the adoption of the Greek alphabet in the 9th century BC. Some time prior to that, one early form of Greek, Mycenaean, was written in Linear B, although there was a lapse of several centuries (the Greek Dark Ages) between the time Mycenaean stopped being written and the time when the Greek alphabet came into use. Early Greek writing in the Greek alphabet was phonemic, different in each dialect. Since the adoption of the Ionic variant for Attic in 403 BC, however, Greek orthography has been largely conservative and historical. Given the phonetic development of Greek, especially in the Hellenistic period, certain modern vowel phonemes have multiple orthographic realizations: * can be spelled η, ι, υ, ει, οι, or υι (see Iotacism); * can be spelled either ε or αι; * can be spelled either ο or ω. This affects not only lexical items but also inflectional affixes, so correct orthography requires maste ...
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Phoenician Alphabet
The Phoenician alphabet is an alphabet (more specifically, an abjad) known in modern times from the Canaanite and Aramaic inscriptions found across the Mediterranean region. The name comes from the Phoenician civilization. The Phoenician alphabet is also called the Early Linear script (in a Semitic context, not connected to Minoan writing systems), because it is an early development of the Proto- or Old Canaanite or Proto-Sinaitic script, into a linear, purely alphabetic script, also marking the transfer from a multi-directional writing system, where a variety of writing directions occurred, to a regulated horizontal, right-to-left script. Its immediate predecessor, the Proto-Canaanite, Old Canaanite or Proto-Sinaitic script, used in the final stages of the Late Bronze Age, first in either Egypt or Canaan and then in the Syro-Hittite kingdoms, is the oldest fully matured alphabet, and it was derived from Egyptian hieroglyphs. The Phoenician alphabet was used to write ...
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List Of XML And HTML Character Entity References
In SGML, HTML and XML documents, the logical constructs known as ''character data'' and ''attribute values'' consist of sequences of characters, in which each character can manifest directly (representing itself), or can be represented by a series of characters called a ''character reference'', of which there are two types: a ''numeric character reference'' and a ''character entity reference''. This article lists the character entity references that are valid in HTML and XML documents. A character entity reference refers to the content of a named entity. An entity declaration is created by using the syntax in a Document Type Definition (DTD). Character reference overview A numeric character reference refers to a character by its Universal Character Set/Unicode ''code point'', and uses the format: :&#''nnnn''; or :&#x''hhhh''; where ''nnnn'' is the code point in decimal form, and ''hhhh'' is the code point in hexadecimal form. The x must be lowercase in XML documents. The ''n ...
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Stopping Time
In probability theory, in particular in the study of stochastic processes, a stopping time (also Markov time, Markov moment, optional stopping time or optional time ) is a specific type of “random time”: a random variable whose value is interpreted as the time at which a given stochastic process exhibits a certain behavior of interest. A stopping time is often defined by a stopping rule, a mechanism for deciding whether to continue or stop a process on the basis of the present position and past events, and which will almost always lead to a decision to stop at some finite time. Stopping times occur in decision theory, and the optional stopping theorem is an important result in this context. Stopping times are also frequently applied in mathematical proofs to “tame the continuum of time”, as Chung put it in his book (1982). Definition Discrete time Let \tau be a random variable, which is defined on the filtered probability space (\Omega, \mathcal F, (\mathcal F_n)_ ...
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Divisor Function
In mathematics, and specifically in number theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as ''the'' divisor function, it counts the ''number of divisors of an integer'' (including 1 and the number itself). It appears in a number of remarkable identities, including relationships on the Riemann zeta function and the Eisenstein series of modular forms. Divisor functions were studied by Ramanujan, who gave a number of important congruences and identities; these are treated separately in the article Ramanujan's sum. A related function is the divisor summatory function, which, as the name implies, is a sum over the divisor function. Definition The sum of positive divisors function σ''z''(''n''), for a real or complex number ''z'', is defined as the sum of the ''z''th powers of the positive divisors of ''n''. It can be expressed in sigma notation as :\sigma_z(n)=\sum_ d^z\,\! , where is shorthand for "''d'' ...
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Golden Ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural o ...
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Kendall Tau Rank Correlation Coefficient
In statistics, the Kendall rank correlation coefficient, commonly referred to as Kendall's τ coefficient (after the Greek letter τ, tau), is a statistic used to measure the ordinal association between two measured quantities. A τ test is a non-parametric hypothesis test for statistical dependence based on the τ coefficient. It is a measure of rank correlation: the similarity of the orderings of the data when ranked by each of the quantities. It is named after Maurice Kendall, who developed it in 1938, though Gustav Fechner had proposed a similar measure in the context of time series in 1897. Intuitively, the Kendall correlation between two variables will be high when observations have a similar (or identical for a correlation of 1) rank (i.e. relative position label of the observations within the variable: 1st, 2nd, 3rd, etc.) between the two variables, and low when observations have a dissimilar (or fully different for a correlation of −1) rank between the two vari ...
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