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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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modern Greek
Modern Greek (, or , ), 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 language sometimes referred to as Varieties of Modern Greek#Standard Modern Greek, 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, having begun 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. Variet ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Te (Cyrillic)
Te (Т т; italics: ) is a letter of the Cyrillic script. It commonly represents the voiceless dental stop , like the pronunciation of in "stop". In most cursive writing, lowercase Te looks like the Latin lowercase m. 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 letter same as М. 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Orthography
The orthography of the Modern Greek, modern Greek language was standardised in 1976 and simplified the diacritics in 1982. There are relatively few differences between the orthography of Ancient Greek and Modern Greek. Some time prior to that, one early form of Greek, Mycenaean language, 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 orthography, phonemic, different in each Ancient Greek dialects, dialect. Since the adoption of the Ionic Greek, Ionic variant for Attic Greek, Attic in 403 BC, however, Greek orthography has been largely conservative and historical. Given the History of Greek, phonetic development of Greek, especially in the Koine Greek, Hellenistic period, certain modern vowel phonemes have multiple orthographic realizations: * can be spelled η, ι, υ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diaeresis (diacritic)
Diaeresis ( ) is a diacritical mark consisting of two dots () that indicates that two adjacent vowel letters are separate syllables a vowel hiatus (also called a diaeresis) rather than a digraph or diphthong. It consists of a two dots diacritic placed over a letter, generally a vowel. 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 loan words '' naïve'', '' Noël'' and '' Chloë'', and is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phoenician Alphabet
The Phoenician alphabet is an abjad (consonantal alphabet) used across the Mediterranean civilization of Phoenicia for most of the 1st millennium BC. It was one of the first alphabets, attested in Canaanite and Aramaic inscriptions found across the Mediterranean basin. In the history of writing systems, the Phoenician script also marked the first to have a fixed writing direction—while previous systems were multi-directional, Phoenician was written horizontally, from right to left. It developed directly from the Proto-Sinaitic script used during the Late Bronze Age, which was derived in turn from Egyptian hieroglyphs. The Phoenician alphabet was used to write Canaanite languages spoken during the Early Iron Age, sub-categorized by historians as Phoenician, Hebrew, Moabite, Ammonite and Edomite, as well as Old Aramaic. It was widely disseminated outside of the Canaanite sphere by Phoenician merchants across the Mediterranean, where it was adopted and adap ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Torsion Of A Curve
In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differential equations for the Frenet frame given by the Frenet–Serret formulas. Definition Let be a space curve parametrized by arc length and with the unit tangent vector . If the curvature of at a certain point is not zero then the principal normal vector and the binormal vector at that point are the unit vectors : \mathbf=\frac, \quad \mathbf=\mathbf\times\mathbf respectively, where the prime denotes the derivative of the vector with respect to the parameter . The torsion measures the speed of rotation of the binormal vector at the given point. It is found from the equation : \mathbf' = -\tau\mathbf. which means : \tau = -\mathbf\cdot\math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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)_, P) w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tau (mathematical Constant)
The number (; spelled out as tau) is a mathematical constant that is the ratio of a circle's circumference to its radius. It is approximately equal to 6.28 and exactly equal to 2Pi, . and are both circle constants relating the circumference of a circle to its linear dimension: the radius in the case of ; the diameter in the case of . While is used almost exclusively in mainstream mathematical education and practice, it has been proposed, most notably by Michael Hartl in 2010, that should be used instead. Hartl and other proponents argue that is the more natural circle constant and its use leads to conceptually simpler and more intuitive mathematical notation. Critics have responded that the benefits of using over are trivial and that given the ubiquity and historical significance of a change is unlikely to occur. The proposal did not initially gain widespread acceptance in the mathematical community, but awareness of has become more widespread, having been added to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tau Function (other) , an arithmetic function giving the number of divisors of an integer
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Tau function may refer to: * Tau function (integrable systems), in integrable systems * Ramanujan tau function, giving the Fourier coefficients of the Ramanujan modular form * 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'' (includi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shear Stress
Shear stress (often denoted by , Greek alphabet, Greek: tau) is the component of stress (physics), stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. ''Normal stress'', on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts. General shear stress The formula to calculate average shear stress or force per unit area is: \tau = ,where is the force applied and is the cross-sectional area. The area involved corresponds to the material face (geometry), face parallel to the applied force vector, i.e., with surface normal vector perpendicular to the force. Other forms Wall shear stress Wall shear stress expresses the retarding force (per unit area) from a wall in the layers of a fluid flowing next to the wall. It is defined as:\tau_w := \mu\left.\frac\_,where is the dynamic viscosity, is the flow velocity, and is the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
