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Carl Runge
Carl David Tolmé Runge (; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist. He was co-developer and co-eponym of the Runge–Kutta method (German pronunciation: ), in the field of what is today known as numerical analysis. Life and work Runge spent the first few years of his life in Havana, where his father Julius Runge was the Danish consul. His mother was Fanny Schwartz Tolmé. The family later moved to Bremen, where his father died early (in 1864). In 1880, he received his Ph.D. in mathematics at Berlin, where he studied under Karl Weierstrass. In 1886, he became a professor at the Technische Hochschule Hannover in Hanover, Germany. His interests included mathematics, spectroscopy, geodesy, and astrophysics. In addition to pure mathematics, he did experimental work studying spectral lines of various elements (together with Heinrich Kayser), and was very interested in the application of this work to astronomical spectroscopy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bremen (city)
Bremen (Low German also: ''Breem'' or ''Bräm''), officially the City Municipality of Bremen (german: Stadtgemeinde Bremen, ), is the capital of the Germany, German States of Germany, state Bremen (state), Free Hanseatic City of Bremen (''Freie Hansestadt Bremen''), a two-city-state consisting of the cities of Bremen and Bremerhaven. With about 570,000 inhabitants, the Hanseatic League, Hanseatic city is the List of cities in Germany by population, 11th largest city of Germany and the second largest city in Northern Germany after Hamburg. Bremen is the largest city on the River Weser, the longest river flowing entirely in Germany, lying some upstream from its River mouth, mouth into the North Sea, and is surrounded by the state of Lower Saxony. A commercial and industrial city, Bremen is, together with Oldenburg (city), Oldenburg and Bremerhaven, part of the Bremen/Oldenburg Metropolitan Region, with 2.5 million people. Bremen is contiguous with the Lower Saxon towns of Delmenhor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jan Groeneveld
Jan, JaN or JAN may refer to: Acronyms * Jackson, Mississippi (Amtrak station), US, Amtrak station code JAN * Jackson-Evers International Airport, Mississippi, US, IATA code * Jabhat al-Nusra (JaN), a Syrian militant group * Japanese Article Number, a barcode standard compatible with EAN * Japanese Accepted Name, a Japanese nonproprietary drug name * Job Accommodation Network, US, for people with disabilities * ''Joint Army-Navy'', US standards for electronic color codes, etc. * '' Journal of Advanced Nursing'' Personal name * Jan (name), male variant of ''John'', female shortened form of ''Janet'' and ''Janice'' * Jan (Persian name), Persian word meaning 'life', 'soul', 'dear'; also used as a name * Ran (surname), romanized from Mandarin as Jan in Wade–Giles * Ján, Slovak name Other uses * January, as an abbreviation for the first month of the year in the Gregorian calendar * Jan (cards), a term in some card games when a player loses without taking any tricks or scoring ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Runge's Theorem
In complex analysis, Runge's theorem (also known as Runge's approximation theorem) is named after the German mathematician Carl Runge who first proved it in the year 1885. It states the following: Denoting by C the set of complex numbers, let ''K'' be a compact set, compact subset of C and let ''f'' be a function (mathematics), function which is holomorphic function, holomorphic on an open set containing ''K''. If ''A'' is a set containing Existential quantification, at least one complex number from every bounded set, bounded connected set, connected component of C\''K'' then there exists a sequence (r_n)_ of rational functions which uniform convergence, converges uniformly to ''f'' on ''K'' and such that all the pole (complex analysis), poles of the functions (r_n)_ are in ''A.'' Note that not every complex number in ''A'' needs to be a pole of every rational function of the sequence (r_n)_. We merely know that for all members of (r_n)_ that do have poles, those poles lie in ''A' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Runge's Phenomenon
In the mathematical field of numerical analysis, Runge's phenomenon () is a problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points. It was discovered by Carl David Tolmé Runge (1901) when exploring the behavior of errors when using polynomial interpolation to approximate certain functions. The discovery was important because it shows that going to higher degrees does not always improve accuracy. The phenomenon is similar to the Gibbs phenomenon in Fourier series approximations. Introduction The Weierstrass approximation theorem states that for every continuous function ''f''(''x'') defined on an interval 'a'',''b'' there exists a set of polynomial functions ''P''''n''(''x'') for ''n''=0, 1, 2, …, each of degree at most ''n'', that approximates ''f''(''x'') with uniform convergence over 'a'',''b''as ''n'' tends to infinity, that is, :\lim_ \left( \sup ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Horst Von Sanden
Horst may refer to: Science * Horst (geology), a raised fault block bounded by normal faults or graben People * Horst (given name) * Horst (surname) * ter Horst, Dutch surname * van der Horst, Dutch surname Places Settlements Germany * Horst, Steinburg, a municipality in the district of Steinburg in Schleswig-Holstein * Horst, Lauenburg, a municipality in the district of Lauenburg in Schleswig-Holstein * Horst, Mecklenburg-Vorpommern, a village and district in the municipality of Sundhagen, Mecklenburg-Vorpommern * , a district in the city of Gelsenkirchen, North Rhine-Westphalia * , a town in the municipality of Seevetal, Lower Saxony Netherlands * Horst aan de Maas, a municipality in the province of Limburg ** Horst, Limburg, the municipal seat of Horst aan de Maas * , a hamlet in the municipality of Ermelo, Gelderland * , a village in the municipality of Gilze en Rijen, North Brabant * Schothorst, , and , districts in the city and municipality of Amersfoort, Utrecht ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Willers
Friedrich may refer to: Names * Friedrich (surname), people with the surname ''Friedrich'' * Friedrich (given name), people with the given name ''Friedrich'' Other * Friedrich (board game), a board game about Frederick the Great and the Seven Years' War * ''Friedrich'' (novel), a novel about anti-semitism written by Hans Peter Richter * Friedrich Air Conditioning, a company manufacturing air conditioning and purifying products *, a German cargo ship in service 1941-45 See also * Friedrichs (other) * Frederick (other) * Nikolaus Friedreich {{disambig ja:フリードリヒ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
August Wiegrefe
August is the eighth month of the year in the Julian and Gregorian calendars, and the fifth of seven months to have a length of 31 days. Its zodiac sign is Leo and was originally named ''Sextilis'' in Latin because it was the 6th month in the original ten-month Roman calendar under Romulus in 753 BC, with March being the first month of the year. About 700 BC, it became the eighth month when January and February were added to the year before March by King Numa Pompilius, who also gave it 29 days. Julius Caesar added two days when he created the Julian calendar in 46 BC (708 AUC), giving it its modern length of 31 days. In 8 BC, it was renamed in honor of Emperor Augustus. According to a Senatus consultum quoted by Macrobius, he chose this month because it was the time of several of his great triumphs, including the conquest of Egypt. Commonly repeated lore has it that August has 31 days because Augustus wanted his month to match the length of Julius Caesar's July, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kornelius Veithen
Cornelius is an originally Roman masculine name. Its derivation is uncertain but is suspected to be from the Latin ''cornu'', "horn". Cornelius as a surname * Aaron Cornelius (born 1990), Australian rules footballer * Alvin Robert Cornelius (1903–1991), Pakistani jurist and politician * Andreas Cornelius (born 1993), Danish footballer * Bernard Cornelius (1919–1987), English cricketer * Billy Cornelius (1898–?), English footballer * Carter Cornelius (1948–1991), American politician * Charles Cornelius (born 1945), Indian field hockey player * Charles Cornelius (gridiron football) (born 1952), American football player * Cleighton Cornelius (born 1976), New Zealand cricketer * Dean Cornelius (born 2001), Scottish footballer * Deborah Cornelius, British actress * Derek Cornelius (born 1997), Canadian soccer player * Don Cornelius (1936–2012), the creator and first host of ''Soul Train'' * Eddie Cornelius, American gospel singer * Elias Cornelius (1794–1832), Americ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Walther Rottsieper
Walther is a masculine given name and a surname. It is a German form of Walter, which is derived from the Old High German ''Walthari'', containing the elements ''wald'' -"power", "brightness" or "forest" and ''hari'' -"warrior". The name was first popularized by the famous epic German hero Walther von Aquitaine and later with the Minnesänger Walther von der Vogelweide. Given name * Walther Bauersfeld (1879–1959), German engineer who built the first projection planetarium * Walther Bothe (1891–1957), German nuclear physicist and Nobel laureate * Walther von Brauchitsch (1881–1948), German World War II field marshal * Walther Dahl (1916–1985), German World War II flying ace * Walther von Dyck (1856–1934), German mathematician * Walther Flemming (1843–1905), German biologist and a founder of cytogenetics * Walther Funk (1890–1960), economist and Nazi official convicted of war crimes in the Nuremberg Trials * Walther Hahm (1894–1951), German World War II general * W ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Munk
Max Michael Munk (October 22, 1890 – June 3, 1986) was a German aerospace engineer who worked for the National Advisory Committee for Aeronautics (NACA) in the 1920s and made contributions to the design of airfoils. Education and early career Munk earned an engineering degree from the Hannover Polytechnic School in 1914 and doctorates in both physics and mathematics from the University of Göttingen in 1918 with a dissertation on parametric studies of airfoils under Ludwig Prandtl. Munk's dissertation contained the nucleus of what would become airfoil theory. After World War I, NACA (''National Advisory Committee for Aeronautics'' which become NASA in 1958) brought Munk to the United States. President Woodrow Wilson signed orders allowing Munk to come to the United States and work in government. These orders were required since Germany was a recent enemy and Munk had worked briefly for the German Navy. Career at NACA Munk began work at NACA in 1920 and proposed building the n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burton Moore
Burton, Burtons, or Burton's may refer to: Companies * Burton (retailer), a clothing retailer ** Burton's, Abergavenny, a shop built for the company in 1937 **The Montague Burton Building, Dublin a shop built for the company between 1929 and 1930 *Burton Brewery Company *Burton Snowboards *Burton's Biscuit Company People *Burton (name) (includes list of people with the name) Places Australia * Burton, Queensland * Burton, South Australia Canada * Burton, British Columbia * Burton, New Brunswick * Burton Parish, New Brunswick * Burton, Prince Edward Island * Burtons, Nova Scotia United Kingdom England * Burton (near Neston), on the Wirral Peninsula, Cheshire * Burton (near Tarporley), in the area of Cheshire West and Chester, Cheshire * Burton-in-Kendal, Cumbria * Burton, Dorset * Burton on the Wolds, Leicestershire * Burton, Lincolnshire * Burton-upon-Stather, North Lincolnshire * Burton in Lonsdale, North Yorkshire * Burton-on-Yore, North Yorkshire * Burton ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
