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Carl Wilhelm Borchardt
Carl Wilhelm Borchardt (22 February 1817 – 27 June 1880) was a German mathematician. Borchardt was born to a Jewish family in Berlin. His father, Moritz, was a respected merchant, and his mother was Emma Heilborn. Borchardt studied under a number of tutors, including Julius Plücker and Jakob Steiner. He studied at the University of Berlin under Lejeune Dirichlet in 1836 and at the University of Königsberg in 1839. In 1848 he began teaching at the University of Berlin. He did research in the area of the arithmetic-geometric mean, continuing work by Gauss and Lagrange. He generalised the results of Kummer on diagonalising symmetric matrices, using determinants and Sturm functions. He was also an editor of '' Crelle's Journal'' from 1856 to 1880, during which time it was known as ''Borchardt's Journal''. He died in Rüdersdorf, Germany. His grave is preserved in the Protestant ''Friedhof III der Jerusalems- und Neuen Kirchengemeinde'' (Cemetery No. III of the congreg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constituent states, Berlin is surrounded by the State of Brandenburg and contiguous with Potsdam, Brandenburg's capital. Berlin's urban area, which has a population of around 4.5 million, is the second most populous urban area in Germany after the Ruhr. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's third-largest metropolitan region after the Rhine-Ruhr and Rhine-Main regions. Berlin straddles the banks of the Spree, which flows into the Havel (a tributary of the Elbe) in the western borough of Spandau. Among the city's main topographical features are the many lakes in the western and southeastern boroughs formed by the Spree, Havel and Dahme, the largest of which is Lake Müggelsee. Due to its l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph-Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an and , later naturalized [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1880 Deaths
Year 188 (CLXXXVIII) was a leap year starting on Monday of the Julian calendar. At the time, it was known in the Roman Empire as the Year of the Consulship of Fuscianus and Silanus (or, less frequently, year 941 ''Ab urbe condita''). The denomination 188 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 Roman Empire * Publius Helvius Pertinax becomes pro-consul of Africa from 188 to 189. Japan * Queen Himiko (or Shingi Waō) begins her reign in Japan (until 248). Births * April 4 – Caracalla (or Antoninus), Roman emperor (d. 217) * Lu Ji (or Gongji), Chinese official and politician (d. 219) * Sun Shao, Chinese general of the Eastern Wu state (d. 241) Deaths * March 17 – Julian, pope and patriarch of Alexandria * Fa Zhen (or Gaoqing), Chinese scholar (b. AD 100) * Lucius Antistius Burrus, Roman politician (executed) * Ma Xiang, Ch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1817 Births
Events January–March * January 1 – Sailing through the Sandwich Islands, Otto von Kotzebue discovers New Year Island. * January 19 – An army of 5,423 soldiers, led by General José de San Martín, starts crossing the Andes from Argentina, to liberate Chile and then Peru. * January 20 – Ram Mohan Roy and David Hare found Hindu College, Calcutta, offering instructions in Western languages and subjects. * February 12 – Battle of Chacabuco: The Argentine–Chilean patriotic army defeats the Spanish. * March 3 ** President James Madison vetoes John C. Calhoun's Bonus Bill. ** The U.S. Congress passes a law to split the Mississippi Territory, after Mississippi drafts a constitution, creating the Alabama Territory, effective in August. * March 4 – James Monroe is sworn in as the fifth President of the United States. * March 21 – The flag of the Pernambucan Revolt is publicly blessed by the dean of Recife Cathedral, Brazil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cayley's Formula
In mathematics, Cayley's formula is a result in graph theory named after Arthur Cayley. It states that for every positive integer n, the number of trees on n labeled vertices is n^. The formula equivalently counts the number of spanning trees of a complete graph with labeled vertices . Proof Many proofs of Cayley's tree formula are known. One classical proof of the formula uses Kirchhoff's matrix tree theorem, a formula for the number of spanning trees in an arbitrary graph involving the determinant of a matrix. Prüfer sequences yield a bijective proof of Cayley's formula. Another bijective proof, by André Joyal, finds a one-to-one transformation between ''n''-node trees with two distinguished nodes and maximal directed pseudoforests. A proof by double counting due to Jim Pitman counts in two different ways the number of different sequences of directed edges that can be added to an empty graph on n vertices to form from it a rooted tree; see . History The formula was fir ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hallesches Tor (Berlin U-Bahn)
Hallesches Tor is a Berlin U-Bahn station in the central Kreuzberg quarter, served by lines U1, U3, and U6. It is named after the historic ''Hallsches Tor'' (Halle Gate) of the Berlin Customs Wall, erected in the 18th century. Overview The historic gate of the Customs Wall, laid out from 1737 onwards to replace the medieval city fortifications, marked the southern tip of the Friedrichstadt neighbourhood. It was located at the southern end of Friedrichstraße and the ''Rondell'' (renamed '' Belle-Alliance-Platz'' in 1815 and Mehringplatz in 1946). Neighbouring gates were on Potsdamer Platz in the west and on Wassertorplatz (Water Gate) in the east, where the present course of the U1 viaduct roughly corresponds to the former city wall. South of the gate, a wooden bridge led across the Landwehr Canal; from here the road ran via Tempelhof to the city of Halle, part of Brandenburg-Prussia since 1680. The present-day stone bridge was built between 1874 and 1876. The U1 and U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kreuzberg
Kreuzberg () is a district of Berlin, Germany. It is part of the Friedrichshain-Kreuzberg borough located south of Mitte. During the Cold War era, it was one of the poorest areas of West Berlin, but since German reunification in 1990 it has become more gentrified and known for its arts scene. The borough is known for its large percentage of immigrants and descendants of immigrants, many of whom are of Turkish ancestry. As of 2006, 31.6% of Kreuzberg's inhabitants did not have German citizenship. Kreuzberg is noted for its diverse cultural life and experimental alternative lifestyles, and is an attractive area for many, however, some parts of the district are still characterized by higher levels of unemployment. The counterculture tradition of Kreuzberg led to a plurality of votes for the Green Party, which is unique among all Berlin boroughs. Geography Layout Kreuzberg is bounded by the river Spree in the east. The Landwehrkanal flows through Kreuzberg from east to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Deutscher Dom
The New Church (german: Neue Kirche; colloquially german: Deutscher Dom, meaning "German Cathedral"), is located in Berlin on the Gendarmenmarkt across from French Church of Friedrichstadt (''French Cathedral''). Its parish comprised the northern part of the then new quarter of Friedrichstadt, which until then belonged to the parish of the congregations of Jerusalem's Church. The Lutheran and Calvinist (in German Reformed Church) congregants used German as their native language, as opposed to the French-speaking Calvinist congregation of the adjacent French Church of Friedrichstadt. The congregants' native language combined with the domed tower earned the church its colloquial name ''Deutscher Dom''. While the church physically resembles a cathedral, it is not a cathedral in the formal sense of the word, as it was never the seat of a bishop. After being heavily damaged during the bombing of Berlin in World War II, reconstruction was completed 1988; the church now serves as a museu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jerusalem's Church
Jerusalem Church (german: Jerusalem(s)kirche, Jerusalemer Kirche) is one of the churches of the Evangelical Congregation in the Friedrichstadt (under this name since 2001), a member of the Protestant umbrella organisation Evangelical Church of Berlin-Brandenburg-Silesian Upper Lusatia. The present church building is located in Berlin, borough Friedrichshain-Kreuzberg, in the quarter of Friedrichstadt. Jerusalem Church is fourth in rank of the oldest oratories in the town proper (except of suburbs incorporated in 1920, which are partly older). Early history of Roman Catholic Jerusalem Church A certain Müller, a burgher of Berlin, endowed a chapel in gratitude for his lucky rescue from a Saracen assault during his pilgrimage to Jerusalem. On 18 October 1484 Arnold von Burgsdorff, Prince-Bishop of Brandenburg, issued an indulgence, promising all those helping to restore the chapel 40 days less in the purgatory. The indulgence is the oldest surviving document mentioning the chap ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Protestant
Protestantism is a Christian denomination, branch of Christianity that follows the theological tenets of the Reformation, Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century against what its followers perceived to be growing Criticism of the Catholic Church, errors, abuses, and discrepancies within it. Protestantism emphasizes the Christian believer's justification by God in faith alone (') rather than by a combination of faith with good works as in Catholicism; the teaching that Salvation in Christianity, salvation comes by Grace in Christianity, divine grace or "unmerited favor" only ('); the Universal priesthood, priesthood of all faithful believers in the Church; and the ''sola scriptura'' ("scripture alone") that posits the Bible as the sole infallible source of authority for Christian faith and practice. Most Protestants, with the exception of Anglo-Papalism, reject the Catholic doctrine of papal supremacy, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Crelle's Journal
''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics''). History The journal was founded by August Leopold Crelle (Berlin) in 1826 and edited by him until his death in 1855. It was one of the first major mathematical journals that was not a proceedings of an academy. It has published many notable papers, including works of Niels Henrik Abel, Georg Cantor, Gotthold Eisenstein, Carl Friedrich Gauss and Otto Hesse. It was edited by Carl Wilhelm Borchardt from 1856 to 1880, during which time it was known as ''Borchardt's Journal''. The current editor-in-chief is Rainer Weissauer (Ruprecht-Karls-Universität Heidelberg) Past editors * 1826–1856 August Leopold Crelle * 1856–1880 Carl Wilhelm Borchardt * 1881–1888 Leopold Kronecker, Karl Weierstrass * 1889–1892 Leopold Kronecker * 1892–1902 Lazarus Fuchs * 1903–1928 Kurt Hens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
