|
Cantor (other)
A cantor a person who leads people in singing or sometimes in prayer. Cantor may also refer to: Music * Cantor (Christianity), the chief singer, and usually instructor, employed at a church * Hazzan, a Jewish musician trained in the vocal arts who leads the congregation in songful prayer * Cantor (music software), a vocal singing synthesizer software People * Cantor (surname) ** Georg Cantor (1845–1918), German mathematician *** Cantor cube *** Cantor distribution *** Cantor function *** Cantor medal, German mathematics prize named after Georg Cantor *** Cantor set *** Cantor space *** Cantor's theorem (other) ** Theodore Cantor (1809–1860), Danish zoologist and botanist after whom several species are named Places *Cantor, New Brunswick, U.S. Science and technology * 16246 Cantor, asteroid * Cantor (crater), a lunar crater * Cantor (software), a free software mathematics application for scientific statistics and analysis * Cantor, a trade name for the drug ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor
A cantor or chanter is a person who leads people in singing or sometimes in prayer. In formal Jewish worship, a cantor is a person who sings solo verses or passages to which the choir or congregation responds. In Judaism, a cantor sings and leads congregants in prayer in Jewish religious services; sometimes called a hazzan. A cantor in Reform and Conservative Judaism, just like in Orthodox Judaism, goes through years of extensive religious education, similar to that of a Rabbi, in order to become an officially recognized cantor. They often come from a long line of cantors in their family; born with a natural gift of singing with incredible vocal range. The term itself was shaped by the Latin term for "singer," but is not an inherently Latin word. It is frequently used to translate a range of equivalent terms in other languages, such as for the leader of singing on a traditional Kerala snake boat, a Chundan Vallam. A similar term is precentor, defined as a leader of the singing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor Set
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of unintuitive properties. It was discovered in 1874 by Henry John Stephen Smith and introduced by German mathematician Georg Cantor in 1883. Through consideration of this set, Cantor and others helped lay the foundations of modern point-set topology. The most common construction is the Cantor ternary set, built by removing the middle third of a line segment and then repeating the process with the remaining shorter segments. Cantor mentioned the ternary construction only in passing, as an example of a more general idea, that of a perfect set that is nowhere dense. More generally, in topology, ''a'' Cantor space is a topological space homeomorphic to the Cantor ternary set (equipped with its subspace topology). By a theorem of Brouwer, this is equivalent to being perfect nonempty, compact metrizable and zero dimensional. Construction and formula of the ternary set The Canto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor (software)
Cantor is a free software mathematics application for scientific statistics and analysis. It is part of the KDE Software Compilation 4, and was introduced with the 4.4 release as part of the KDE Education Project's ''kdeedu'' package. Features Cantor is a graphical user interface that delegates its mathematical operations to one of several backends. Its plugin-based structure allows adding different backends. It can make use of Julia, KAlgebra, Lua, Maxima, Octave, Python, Qalculate!, R, SageMath, and Scilab. Cantor provides a consistent interface to these backends; its project page lists the following features: * Nice Worksheet view for evaluating expressions * View of plotting results inside the worksheet or in a separate window * Typesetting of mathematical formulas using LaTeX * Backend-aware syntax highlighting Syntax highlighting is a feature of text editors that are used for programming, scripting, or markup languages, such as HTML. The feature displays text, e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor (crater)
Cantor is a lunar impact crater that is located on the northern hemisphere on the far side of the Moon. The outer rim of the crater has a distinctly hexagonal shape, and is slightly longer in the north–south direction. The interior walls are multiply terraced, although less so along the western rim. There is a low central peak at the midpoint of the floor. The terrain surrounding Cantor is heavily impacted with many small craters. The old and heavily eroded crater H. G. Wells is located to the northwest. To the southeast is Kidinnu Kidinnu (also ''Kidunnu''; possibly fl. 4th century BC; possibly died 14 August 330 BC) was a Chaldean astronomer and mathematician. Strabo of Amaseia called him Kidenas, Pliny the Elder Cidenas, and Vettius Valens Kidynas. Some cuneiform .... Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Cantor. References * * * * * * * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
16246 Cantor
Sixteen or 16 may refer to: * 16 (number), the natural number following 15 and preceding 17 *one of the years 16 BC, AD 16, 1916, 2016 Films * ''Pathinaaru'' or ''Sixteen'', a 2010 Tamil film * ''Sixteen'' (1943 film), a 1943 Argentine film directed by Carlos Hugo Christensen * ''Sixteen'' (2013 Indian film), a 2013 Hindi film * ''Sixteen'' (2013 British film), a 2013 British film by director Rob Brown Music *The Sixteen, an English choir *16 (band), a sludge metal band *Sixteen (Polish band), a Polish band Albums * ''16'' (Robin album), a 2014 album by Robin * 16 (Madhouse album), a 1987 album by Madhouse * ''Sixteen'' (album), a 1983 album by Stacy Lattisaw *''Sixteen'' , a 2005 album by Shook Ones * ''16'', a 2020 album by Wejdene Songs * "16" (Sneaky Sound System song), 2009 * "Sixteen" (Thomas Rhett song), 2017 * "Sixteen" (Ellie Goulding song), 2019 *"16", by Craig David from ''Following My Intuition'', 2016 *"16", by Green Day from ''39/Smooth'', 1990 *"16", by Hig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor, New Brunswick
Cantor is a Canadian unincorporated community in Northfield Parish, Sunbury County, New Brunswick. It is located 8 kilometres north of Minto, and near Hardwood Ridge. History Notable people See also *List of communities in New Brunswick This is a list of communities in New Brunswick, a province in Canada. For the purposes of this list, a community is defined as either an incorporated municipality, an Indian reserve, or an unincorporated community inside or outside a municipalit ... References Communities in Sunbury County, New Brunswick {{NewBrunswick-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodore Cantor
Theodore Edward (Theodor Edvard) Cantor (1809–1860) was a Danish physician, zoologist and botanist. Born to a Danish Jewish family, his mother was a sister of Nathaniel Wallich. Cantor worked for the British East India Company, and made natural history collections in Penang and Malacca. Cantor was the first Western scientist to describe the Siamese fighting fish. In the scientific field of herpetology he described many new species of reptiles and amphibians. Species first described by Cantor include ''Bungarus bungaroides'' (1839), '' Bungarus lividus'' (1839), '' Channa argus'' (1842), ''Elaphe rufodorsata'' (1842), '' Euprepiophis mandarinus'' (1842), ''Hippocampus comes'' (1850), ''Lycodon effraenis'' (1847), '' Misgurnus anguillicaudatus'' (1842), '' Naja atra'' (1842), '' Oligodon albocinctus'' (1839), ''Oligodon cyclurus'' (1839), '' Ophiophagus hannah'' (1836), ''Oreocryptophis porphyracea'' (1839), '' Pareas monticola'' (1839), ''Protobothrops mucrosquamatus'' (1839), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor's Theorem (other)
Cantor's theorem is a fundamental result in mathematical set theory. Cantor's theorem may also refer to: Set theory * Cantor–Bernstein theorem: cardinality of the class of countable order types equals the cardinality of the continuum * Cantor–Bernstein–Schröder theorem: injections from A to B and from B to A imply a bijection between A and B Order theory and model theory * Cantor's isomorphism theorem: every two countable dense unbounded linear orders are isomorphic Topology * Cantor's intersection theorem: a decreasing nested sequence of non-empty compact sets has a non-empty intersection * Heine–Cantor theorem: a continuous function on a compact space is uniformly continuous * Cantor–Bendixson theorem: a closed set of a Polish space may be written uniquely as a disjoint union of a perfect set and a countable set See also *Georg Cantor *Cantor's diagonal argument In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor Space
In mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it is homeomorphic to the Cantor set. In set theory, the topological space 2ω is called "the" Cantor space. Examples The Cantor set itself is a Cantor space. But the canonical example of a Cantor space is the countably infinite topological product of the discrete 2-point space . This is usually written as 2^\mathbb or 2ω (where 2 denotes the 2-element set with the discrete topology). A point in 2ω is an infinite binary sequence, that is a sequence which assumes only the values 0 or 1. Given such a sequence ''a''0, ''a''1, ''a''2,..., one can map it to the real number :\sum_^\infty \frac. This mapping gives a homeomorphism from 2ω onto the Cantor set, demonstrating that 2ω is indeed a Cantor space. Cantor spaces occur abundantly in real analysis. For example, they exist as subspaces in every perfect, complete me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor Medal
The Cantor medal of the Deutsche Mathematiker-Vereinigung is named in honor of Georg Cantor, the first president of the society. It is awarded at most every second year during the yearly meetings of the society. The prize winners are mathematicians who are associated with the German language. Prize winners * 1990 Karl Stein. * 1992 Jürgen MoserThe Georg Cantor Medal of the ''Deutsche Mathematiker-Vereinigung'' , , retrieved 5 June 2014. * 1994 Erhard Heinz [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor (Christianity)
In Christianity, the cantor, sometimes called the precentor or the protopsaltes (; from ), is the chief singer, and usually instructor, employed at a church, with responsibilities for the choir and the preparation of the Mass or worship service. Generally, a cantor must be competent to choose and conduct the vocals for the choir, to start any chant on demand, and to be able to identify and correct the missteps of singers placed under them. A cantor may be held accountable for the immediate rendering of the music, showing the course of the melody by movements of the hand(s) (''cheironomia''), similar to a conductor. Western Christianity Roman Catholicism Before and after the Second Vatican Council, a ''cantor'' in the Roman Catholic Church was the leading singer of the choir, a ''bona fide'' clerical role. The medieval cantor of the papal Schola Cantorum was called ''Prior scholae'' or '' Primicerius''. In medieval cathedrals, the cantor or precentor directed the music a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cantor Function
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere, its value still goes from 0 to 1 as its argument reaches from 0 to 1. Thus, in one sense the function seems very much like a constant one which cannot grow, and in another, it does indeed monotonically grow. It is also called the Cantor ternary function, the Lebesgue function, Lebesgue's singular function, the Cantor–Vitali function, the Devil's staircase, the Cantor staircase function, and the Cantor–Lebesgue function. introduced the Cantor function and mentioned that Scheeffer pointed out that it was a counterexample to an extension of the fundamental theorem of calculus claimed by Harnack. The Cantor function was discussed and popularized by , and . D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
