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Ernst Meissel
Daniel Friedrich Ernst Meissel (31 July 1826, Eberswalde, Brandenburg Province – 11 March 1895, Kiel) was a German astronomer who contributed to various aspects of number theory. See also *Meissel–Lehmer algorithm *Meissel–Mertens constant External links * 1826 births 1895 deaths 19th-century German astronomers 19th-century German mathematicians Number theorists {{Germany-astronomer-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eberswalde
Eberswalde () is a major town and the administrative seat of the district Barnim in the German State ( Bundesland / ''federated state'') of Brandenburg, about 50 km northeast of Berlin. Population 42,144 (census in June 2005), geographical location . The town is often called Waldstadt (forest town), because of the large forests around it, including the Schorfheide-Chorin Biosphere Reserve. Despite this fact, Eberswalde was an important industrial center until the German Reunification. History Prehistory The area around Eberswalde was already populated in Paleolithic. Before the establishment of the Margraviate of Brandenburg it was the place of a Slavic stockade. The Treasure of Eberswalde, the largest pre-Christian gold treasure from the area of today's Germany was found here. Today the treasure is located in the Pushkin Museum in Moscow. Founding and development The town of ''Everswolde'' ("forest of the boars") was established in 1254 by the Ascanian margrave Joha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandenburg Province
The Province of Brandenburg (german: Provinz Brandenburg) was a province of Prussia from 1815 to 1945. Brandenburg was established in 1815 from the Kingdom of Prussia's core territory, comprised the bulk of the historic Margraviate of Brandenburg (excluding Altmark) and the Lower Lusatia region, and became part of the German Empire in 1871. From 1918, Brandenburg was a province of the Free State of Prussia until it was dissolved in 1945 after World War II, and replaced with reduced territory as the State of Brandenburg in East Germany, which was later dissolved in 1952. Following the reunification of Germany in 1990, Brandenburg was re-established as a federal state of Germany, becoming one of the new states. Brandenburg's provincial capital alternated between Potsdam, Berlin, and Charlottenburg during its existence. Geography The province comprised large parts of the North German Plain, stretching from the Elbe river in the west to beyond the Oder in the east, where the N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kiel
Kiel () is the capital and most populous city in the northern Germany, German state of Schleswig-Holstein, with a population of 246,243 (2021). Kiel lies approximately north of Hamburg. Due to its geographic location in the southeast of the Jutland peninsula on the southwestern shore of the Baltic Sea, Kiel has become one of Germany's major maritime centres, known for a variety of international sailing events, including the annual Kiel Week, which is the biggest sailing event in the world. Kiel is also known for the Kiel mutiny, Kiel Mutiny, when sailors refused to board their vessels in protest against Germany's further participation in World War I, resulting in the abdication of the Wilhelm II, German Emperor, Kaiser and the formation of the Weimar Republic. The Olympic sailing competitions of the 1936 Summer Olympics, 1936 and the 1972 Summer Olympics#Venues, 1972 Summer Olympics were held in the Bay of Kiel. Kiel has also been one of the traditional homes of the German Nav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, natural satellite, moons, comets and galaxy, galaxies – in either observational astronomy, observational (by analyzing the data) or theoretical astronomy. Examples of topics or fields astronomers study include planetary science, Sun, solar astronomy, the Star formation, origin or stellar evolution, evolution of stars, or the galaxy formation and evolution, formation of galaxies. A related but distinct subject is physical cosmology, which studies the Universe as a whole. Types Astronomers usually fall under either of two main types: observational astronomy, observational and theoretical astronomy, theoretical. Observational astronomers make direct observations of Astronomical object, celestial objects and analyze the data. In contrast, theoretical astronomers create and investigate C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meissel–Lehmer Algorithm
The Meissel–Lehmer algorithm (after Ernst Meissel and Derrick Henry Lehmer) is an algorithm that computes exact values of the prime-counting function. Description The problem of counting the exact number of primes less than or equal to x, without actually listing them all, dates from Legendre. He observed from the Sieve of Eratosthenes that : \pi (x) - \pi (x^) + 1 = \lfloor x \rfloor - \sum_ \lfloor x/p_i \rfloor + \sum_ \lfloor x/p_ip_j \rfloor - \ldots where \lfloor x \rfloor is the floor function, which denotes the greatest integer less than or equal to x and the p_i run over all primes \leq x^. Since the evaluation of this sum formula is becoming more and more complex and confusing for large x, Meissel tried to simplify the counting of the numbers in the Sieve of Eratosthenes. He and Lehmer introduced therefore certain sieve functions, which are detailed below. Key functions Let p_1, p_2, \ldots, p_n be the first ''n'' primes. For natural number ''a'' ≥ 1, def ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meissel–Mertens Constant
The Meissel–Mertens constant (named after Ernst Meissel and Franz Mertens), also referred to as Mertens constant, Kronecker's constant, Hadamard– de la Vallée-Poussin constant or the prime reciprocal constant, is a mathematical constant in number theory, defined as the limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm: :M = \lim_ \left( \sum_ \frac - \ln(\ln n) \right)=\gamma + \sum_ \left \ln\! \left( 1 - \frac \right) + \frac \right Here γ is the Euler–Mascheroni constant, which has an analogous definition involving a sum over all integers (not just the primes). The value of ''M'' is approximately :''M'' ≈ 0.2614972128476427837554268386086958590516... . Mertens' second theorem establishes that the limit exists. The fact that there are two logarithms (log of a log) in the limit for the Meissel–Mertens constant may be thought of as a consequence of the combination of the prime number t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1826 Births
Eighteen or 18 may refer to: * 18 (number), the natural number following 17 and preceding 19 * one of the years 18 BC, AD 18, 1918, 2018 Film, television and entertainment * ''18'' (film), a 1993 Taiwanese experimental film based on the short story ''God's Dice'' * ''Eighteen'' (film), a 2005 Canadian dramatic feature film * 18 (British Board of Film Classification), a film rating in the United Kingdom, also used in Ireland by the Irish Film Classification Office * 18 (''Dragon Ball''), a character in the ''Dragon Ball'' franchise * "Eighteen", a 2006 episode of the animated television series ''12 oz. Mouse'' Music Albums * ''18'' (Moby album), 2002 * ''18'' (Nana Kitade album), 2005 * '' 18...'', 2009 debut album by G.E.M. Songs * "18" (5 Seconds of Summer song), from their 2014 eponymous debut album * "18" (One Direction song), from their 2014 studio album ''Four'' * "18", by Anarbor from their 2013 studio album '' Burnout'' * "I'm Eighteen", by Alice Cooper common ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1895 Deaths
Events January–March * January 5 – Dreyfus affair: French officer Alfred Dreyfus is stripped of his army rank, and sentenced to life imprisonment on Devil's Island. * January 12 – The National Trust for Places of Historic Interest or Natural Beauty is founded in England by Octavia Hill, Robert Hunter and Canon Hardwicke Rawnsley. * January 13 – First Italo-Ethiopian War: Battle of Coatit – Italian forces defeat the Ethiopians. * January 17 – Félix Faure is elected President of the French Republic, after the resignation of Jean Casimir-Perier. * February 9 – Mintonette, later known as volleyball, is created by William G. Morgan at Holyoke, Massachusetts. * February 11 – The lowest ever UK temperature of is recorded at Braemar, in Aberdeenshire. This record is equalled in 1982, and again in 1995. * February 14 – Oscar Wilde's last play, the comedy ''The Importance of Being Earnest'', is first shown at St James's Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Astronomers
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
