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231 (number)
231 (two hundred ndthirty-one) is the natural number following 230 and preceding 232. In mathematics Two hundred ndthirty-one 231 = 3·7·11, sphenic number, triangular number, doubly triangular number, hexagonal number, octahedral number, centered octahedral number, the number of integer partitions of 16, Mertens function returns 0, and is the number of cubic inches in a U.S. liquid gallon. In other fields 231 is: * The year A.D. 231 or 231 BC. * +231 is the country code for Liberia. * '' Pacific 231'', an orchestral work by French composer Arthur Honegger. * '' Pacific 231'', a 1949 short film directed by Jean Mitry Jean-René Pierre Goetgheluck Le Rouge Tillard des Acres de Presfontaines, whose pseudonym was Jean Mitry (; 7 November 1904 – 18 January 1988), was a French film theorist, critic and filmmaker, a co-founder of France's first film society, and, .... * List of highways numbered 231 References Integers {{Num-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal number, cardinal numbers'', and numbers used for ordering are called ''Ordinal number, ordinal numbers''. Natural numbers are sometimes used as labels, known as ''nominal numbers'', having none of the properties of numbers in a mathematical sense (e.g. sports Number (sports), jersey numbers). Some definitions, including the standard ISO/IEC 80000, ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with , corresponding to the positive integers Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, while in other writings, that term is used instead for the integers (including negative integers). The natural ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gallon
The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use: *the imperial gallon (imp gal), defined as , which is or was used in the United Kingdom, Ireland, Canada, Australia, New Zealand, and some Caribbean countries; *the US gallon (US gal), defined as , (231 cubic inches) which is used in the US and some Latin American and Caribbean countries; and *the US dry gallon ("usdrygal"), defined as US bushel (exactly ). There are two pints in a quart and four quarts in a gallon. Different sizes of pints account for the different sizes of the imperial and US gallons. The IEEE standard symbol for both US (liquid) and imperial gallon is gal, not to be confused with the gal (symbol: Gal), a CGS unit of acceleration. Definitions The gallon currently has one definition in the imperial system, and two definitions (liquid and dry) in the US customary system. Historically, there were many definitions and redefiniti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Mitry
Jean-René Pierre Goetgheluck Le Rouge Tillard des Acres de Presfontaines, whose pseudonym was Jean Mitry (; 7 November 1904 – 18 January 1988), was a French film theorist, critic and filmmaker, a co-founder of France's first film society, and, in 1938, of the Cinémathèque Française. Work Goetgheluck le Rouge Rillard des Acres de Presfontaines was born in Soissons and was the first lecturer of film aesthetics in France, Mitry was one of the first intellectuals responsible for taking film studies out of the era of the film club and into that of the university. Mitry was one of few major film theorists who worked in film production himself. He edited Alexandre Astruc's short film ''Le Rideau Cramoisi'' (1953) and directed two films of his own, ''Pacific 231'' (1949), set to Arthur Honegger's music, and ''Images pour Debussy'' (1952), set to the music of Claude Debussy. He died in La Garenne-Colombes in 1988. Selected filmography * ''The Enigma of the Folies-Bergere ''The E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacific 231 (film)
''Pacific 231'' is a 1949 short film directed by French film theorist Jean Mitry. Music The film soundtrack uses the orchestral work of the same name, composed by Arthur Honegger. Summary ''Pacific 231'' pays tribute to the steam locomotive, and includes close-up footage of driving wheels, running gear and railroad operations, mostly taken at speed, and cut/choreographed to the music. Accolades The film was awarded the Short Film Palme d'Or, the highest prize given for a short film at the 1949 Cannes Film Festival. References External links''Pacific 231'' on Vimeo*Pacific 231 (1949)' on IMDb IMDb (an abbreviation of Internet Movie Database) is an online database of information related to films, television series, home videos, video games, and streaming content online – including cast, production crew and personal biographies, ...Internet Archive {{cinéma pur 1949 films French short films Rail transport films Short Film Palme d'Or winners French black-and-wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Honegger
Arthur Honegger (; 10 March 1892 – 27 November 1955) was a Swiss composer who was born in France and lived a large part of his life in Paris. A member of Les Six, his best known work is probably ''Antigone'', composed between 1924 and 1927 to the French libretto by Jean Cocteau based on the tragedy ''Antigone'' by Sophocles. It premiered on 28 December 1927 at the Théâtre Royal de la Monnaie with sets designed by Pablo Picasso and costumes by Coco Chanel. However, his most frequently performed work is probably the orchestral work ''Pacific 231'', which was inspired by the sound of a steam locomotive. Biography Born Oscar-Arthur Honegger (the first name was never used) to Swiss parents in Le Havre, France, he initially studied harmony with Robert-Charles Martin (to whom he dedicated his first published work and violin in Le Havre. After studying for two years at the Zurich Conservatory, he enrolled in the Paris Conservatoire from 1911 to 1918, studying with both Charl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacific 231
''Pacific 231'' is an orchestral work by Arthur Honegger, written in 1923. It is one of his most frequently performed works. Description The popular interpretation of the piece is that it depicts a steam locomotive, one that is supported by the title of the piece alongside film versions. Honegger explained that he wrote it as an exercise in building momentum while the tempo of the piece slows. He originally titled it Mouvement Symphonique, only giving it the name ''Pacific 231'', a class of steam locomotive designated in Whyte notation as a 4-6-2, with four pilot wheels, six driving wheels, and two trailing wheels (in France, where axles rather than wheels are counted, this arrangement is designated 2-3-1) after it was finished. Honegger was widely known as a train enthusiast, and once notably said: "I have always loved locomotives passionately. For me they are living creatures and I love them as others love women or horses." Form The work consists of five main sections, all ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liberia
Liberia (), officially the Republic of Liberia, is a country on the West African coast. It is bordered by Sierra Leone to Liberia–Sierra Leone border, its northwest, Guinea to its north, Ivory Coast to its east, and the Atlantic Ocean to its south and southwest. It has a population of around 5 million and covers an area of . English is the official language, but over 20 indigenous languages are spoken, reflecting the country's ethnic and cultural diversity. The country's capital and largest city is Monrovia. Liberia began in the early 19th century as a project of the American Colonization Society (ACS), which believed black people would face better chances for freedom and prosperity in Africa than in the United States. Between 1822 and the outbreak of the American Civil War in 1861, more than 15,000 freed and free-born black people who faced social and legal oppression in the U.S., along with 3,198 Afro-Caribbeans, relocated to Liberia. Gradually developing an Americo- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telephone Numbers In Liberia ...
The following are the telephone codes in Liberia. Calling formats The NSN length is 7, 8 or 9 digits, depending on the number type. List of allocations in Liberia See also * Communications in Liberia References {{Africa topic, Telephone numbers in Liberia Telecommunications in Liberia Telephone numbers A telephone number is a sequence of digits assigned to a landline telephone subscriber station connected to a telephone line or to a wireless electronic telephony device, such as a radio telephone or a mobile telephone, or to other devices f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
231 BC
__NOTOC__ Year 231 BC was a year of the pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Matho and Maso (or, less frequently, year 523 '' Ab urbe condita''). The denomination 231 BC for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Greece * Demetrius II, king of Macedonia, seeks military help from Agron, king of Illyria, a loosely organized state on the Adriatic coast north of Epirus, against the advancing Aetolians. The Illyrian army routs the Aetolians and returns home as the victor. Roman Republic * The Romans send envoys to Massilia (modern Marseille, France) to negotiate with the Carthaginian general Hamilcar Barca who is based there. Births * Hieronymus, tyrant of Syracuse (d. 214 BC) * Han Xin, prominent Chinese general of the early Han Dynasty is born. Deaths * Agron, king of the Ardiaean Kingd ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mertens Function
In number theory, the Mertens function is defined for all positive integers ''n'' as : M(n) = \sum_^n \mu(k), where \mu(k) is the Möbius function. The function is named in honour of Franz Mertens. This definition can be extended to positive real numbers as follows: : M(x) = M(\lfloor x \rfloor). Less formally, M(x) is the count of square-free integers up to ''x'' that have an even number of prime factors, minus the count of those that have an odd number. The first 143 ''M''(''n'') values are The Mertens function slowly grows in positive and negative directions both on average and in peak value, oscillating in an apparently chaotic manner passing through zero when ''n'' has the values :2, 39, 40, 58, 65, 93, 101, 145, 149, 150, 159, 160, 163, 164, 166, 214, 231, 232, 235, 236, 238, 254, 329, 331, 332, 333, 353, 355, 356, 358, 362, 363, 364, 366, 393, 401, 403, 404, 405, 407, 408, 413, 414, 419, 420, 422, 423, 424, 425, 427, 428, ... . Because the Möbius function only ta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
230 (number)
230 (two hundred ndthirty) is the natural number following 229 and preceding 231. In mathematics 230 is: *a composite number, with its divisors being 2, 5, 10, 23, 46, and 115. *a sphenic number because it is the product of 3 primes. It is also the first sphenic number to immediately precede another sphenic number. *palindromic and a repdigit in bases 22 (AA22), 45 (5545), 114 (22114), 229 (11229) *a Harshad number in bases 2, 6, 10, 12, 23 (and 16 other bases). *a happy number. *a nontotient since there is no integer with 230 coprimes below it. *the sum of the coprime counts for the first 27 integers. *the aliquot sum of both 454 and 52441. *part of the 41-aliquot tree. *the maximal number of pieces that can be obtained by cutting an annulus with 20 cuts. The aliquot sequence starting at 224 is: 224, 280, 440, 640, 890, 730, 602, 454, 230, 202, 104, 106, 56, 64, 63, 41, 1, 0. There are 230 unique space groups describing all possible crystal symmetries. In other fields 230 i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partition (number Theory)
In number theory and combinatorics, a partition of a positive integer , also called an integer partition, is a way of writing as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition. (If order matters, the sum becomes a composition.) For example, can be partitioned in five distinct ways: : : : : : The order-dependent composition is the same partition as , and the two distinct compositions and represent the same partition as . A summand in a partition is also called a part. The number of partitions of is given by the partition function . So . The notation means that is a partition of . Partitions can be graphically visualized with Young diagrams or Ferrers diagrams. They occur in a number of branches of mathematics and physics, including the study of symmetric polynomials and of the symmetric group and in group representation theory in general. Examples The seven partitions of 5 are: * 5 * 4 + 1 * 3 + ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
