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Isaak Bacharach
Isaak Bacharach (2 December 1854 – 22 September 1942) was a German mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ... professor in Erlangen who proved the Cayley–Bacharach theorem on intersections of cubic curves. He was murdered at the Theresienstadt concentration camp during The Holocaust. References External links * 1854 births 1942 deaths 19th-century German mathematicians 20th-century German mathematicians Algebraic geometers German people who died in the Theresienstadt Ghetto People from Seligenstadt {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seligenstadt
Seligenstadt is a town in the Offenbach (district), Offenbach district in the ''Regierungsbezirk'' of Darmstadt (region), Darmstadt in Hesse, Germany. Seligenstadt is one of Germany's oldest towns and was already of great importance in Carolingian times. Geography Location Seligenstadt is one of 13 towns and communities in the Offenbach district. The town lies on the river Main (river), Main’s left bank roughly 25 km southeast of Frankfurt, Frankfurt am Main, directly neighbouring Bavaria. Neighbouring communities Seligenstadt borders in the north on the community of Hainburg, Germany, Hainburg, in the east on the community of Karlstein am Main, Karlstein (Aschaffenburg (district), Aschaffenburg district in Bavaria), in the southeast on the community of Mainhausen, in the south on the town of Babenhausen, Hesse, Babenhausen (Darmstadt-Dieburg) and in the west on the town of Rodgau. Constituent communities Seligenstadt's ''Ortsteil, Stadtteile'' are Seligenstadt, Klein-Wel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cubic Curve
In mathematics, a cubic plane curve is a plane algebraic curve defined by a cubic equation : applied to homogeneous coordinates for the projective plane; or the inhomogeneous version for the affine space determined by setting in such an equation. Here is a non-zero linear combination of the third-degree monomials : These are ten in number; therefore the cubic curves form a projective space of dimension 9, over any given field . Each point imposes a single linear condition on , if we ask that pass through . Therefore, we can find some cubic curve through any nine given points, which may be degenerate, and may not be unique, but will be unique and non-degenerate if the points are in general position; compare to two points determining a line and how five points determine a conic. If two cubics pass through a given set of nine points, then in fact a pencil of cubics does, and the points satisfy additional properties; see Cayley–Bacharach theorem. A cubic curve may have ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometers
Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: * Algebraic data type, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype * Algebraic numbers, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients * Algebraic functions, functions satisfying certain polynomials * Algebraic element, an element of a field extension which is a root of some polynomial over the base field * Algebraic extension, a field extension such that every element is an algebraic element over the base field * Algebraic definition, a definition in mathematical logic which is given using only equalities between terms * Algebraic structure, a set with one or more finitary operations defined on it * Algebraic, the order of ent ... [...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] |
1942 Deaths
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 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 * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 100 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1854 Births
Events January–March * January 4 – The McDonald Islands are discovered by Captain William McDonald aboard the ''Samarang''. * January 6 – The fictional detective Sherlock Holmes is perhaps born. * January 9 – The Teutonia Männerchor in Pittsburgh, U.S.A. is founded to promote German culture. * January 20 – The North Carolina General Assembly in the United States charters the Atlantic and North Carolina Railroad, to run from Goldsboro through New Bern, to the newly created seaport of Morehead City, near Beaufort. * January 21 – The iron clipper runs aground off the east coast of Ireland, on her maiden voyage out of Liverpool, bound for Australia, with the loss of at least 300 out of 650 on board. * February 11 – Major streets are lit by coal gas for the first time by the San Francisco Gas Company; 86 such lamps are turned on this evening in San Francisco, California. * February 13 – Mexican troops force William Wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Holocaust
The Holocaust, also known as the Shoah, was the genocide of European Jews during World War II. Between 1941 and 1945, Nazi Germany and its collaborators systematically murdered some six million Jews across German-occupied Europe; around two-thirds of Europe's Jewish population. The murders were carried out in pogroms and mass shootings; by a policy of extermination through labor in concentration camps; and in gas chambers and gas vans in German extermination camps, chiefly Auschwitz-Birkenau, Bełżec, Chełmno, Majdanek, Sobibór, and Treblinka in occupied Poland. Germany implemented the persecution in stages. Following Adolf Hitler's appointment as chancellor on 30 January 1933, the regime built a network of concentration camps in Germany for political opponents and those deemed "undesirable", starting with Dachau on 22 March 1933. After the passing of the Enabling Act on 24 March, which gave Hitler dictatorial plenary powers, the government began isolating Je ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematische Annalen
''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück, and Nigel Hitchin. Currently, the managing editor of Mathematische Annalen is Thomas Schick. Volumes 1–80 (1869–1919) were published by Teubner. Since 1920 (vol. 81), the journal has been published by Springer. In the late 1920s, under the editorship of Hilbert, the journal became embroiled in controversy over the participation of L. E. J. Brouwer on its editorial board, a spillover from the foundational Brouwer–Hilbert controversy. Between 1945 and 1947 the journal briefly ceased publication. References External links''Mathematische Annalen''homepage at Springer''Mathematische Annalen''archive (1869†... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Erlangen
Erlangen (; East Franconian German, East Franconian: ''Erlang'', Bavarian language, Bavarian: ''Erlanga'') is a Middle Franconian city in Bavaria, Germany. It is the seat of the administrative district Erlangen-Höchstadt (former administrative district Erlangen), and with 116,062 inhabitants (as of 30 March 2022), it is the smallest of the eight major cities (''Town#Germany, Großstadt'') in Bavaria. The number of inhabitants exceeded the threshold of 100,000 in 1974, making Erlangen a major city according to the statistical definition officially used in Germany. Together with Nuremberg, Fürth, and Schwabach, Erlangen forms one of the three metropolises in Bavaria. With the surrounding area, these cities form the Nuremberg Metropolitan Region, European Metropolitan Region of Nuremberg, one of 11 metropolitan areas in Germany. The cities of Nuremberg, Fürth, and Erlangen also form a triangle on a map, which represents the heartland of the Nuremberg conurbation. An element of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electorate Of Hesse
The Electorate of Hesse (german: Kurfürstentum Hessen), also known as Hesse-Kassel or Kurhessen, was a landgraviate whose prince was given the right to elect the Emperor by Napoleon. When the Holy Roman Empire was abolished in 1806, its prince, William I, chose to retain the title of Elector, even though there was no longer an Emperor to elect. In 1807, with the Treaties of Tilsit, the area was annexed to the Kingdom of Westphalia, but in 1814, the Congress of Vienna restored the electorate. The state was the only electorate within the German Confederation. It consisted of several detached territories to the north of Frankfurt, which survived until the state was annexed by Prussia in 1866 following the Austro-Prussian War. The Elector's formal titles included "Elector of Hesse, Prince of Fulda (''Fürst von Fulda''), Prince of Hersfeld, Hanau, Fritzlar and Isenburg, Count of Katzenelnbogen, Dietz, Ziegenhain, Nidda, and Schaumburg." History The Landgraviate of Hesse-K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
