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Johann Georg Rosenhain
Johann Georg Rosenhain (10 June 1816 in Königsberg – 14 March 1887 Berlin) was a German mathematician who introduced theta characteristic In mathematics, a theta characteristic of a non-singular algebraic curve ''C'' is a divisor class Θ such that 2Θ is the canonical class. In terms of holomorphic line bundles ''L'' on a connected compact Riemann surface, it is therefore ''L'' such ...s. Rosenhain was born to a Jewish family, to Nathan Rosenhain and Röschen Joseph. References Rosenhain, Johann GeorgComplete Dictionary of Scientific Biography. 2008 19th-century German mathematicians 19th-century German Jews Scientists from Königsberg 1816 births 1887 deaths {{Germany-mathematician-stub ...
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George Rosenhain
Johann Georg Rosenhain (10 June 1816 in Königsberg – 14 March 1887 Berlin) was a German mathematician who introduced theta characteristic In mathematics, a theta characteristic of a non-singular algebraic curve ''C'' is a divisor class Θ such that 2Θ is the canonical class. In terms of holomorphic line bundles ''L'' on a connected compact Riemann surface, it is therefore ''L'' such ...s. Rosenhain was born to a Jewish family, to Nathan Rosenhain and Röschen Joseph. References Rosenhain, Johann GeorgComplete Dictionary of Scientific Biography. 2008 19th-century German mathematicians 19th-century German Jews Scientists from Königsberg 1816 births 1887 deaths {{Germany-mathematician-stub ...
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Theta Characteristic
In mathematics, a theta characteristic of a non-singular algebraic curve ''C'' is a divisor class Θ such that 2Θ is the canonical class. In terms of holomorphic line bundles ''L'' on a connected compact Riemann surface, it is therefore ''L'' such that ''L''2 is the canonical bundle, here also equivalently the holomorphic cotangent bundle. In terms of algebraic geometry, the equivalent definition is as an invertible sheaf, which squares to the sheaf of differentials of the first kind. Theta characteristics were introduced by History and genus 1 The importance of this concept was realised first in the analytic theory of theta functions, and geometrically in the theory of bitangents. In the analytic theory, there are four fundamental theta functions in the theory of Jacobian elliptic functions. Their labels are in effect the theta characteristics of an elliptic curve. For that case, the canonical class is trivial (zero in the divisor class group) and so the theta characteristic ...
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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 ...
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19th-century German Jews
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 ...
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Scientists From Königsberg
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The role ...
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1816 Births
This year was known as the ''Year Without a Summer'', because of low temperatures in the Northern Hemisphere, possibly the result of the Mount Tambora volcanic eruption in Indonesia in 1815, causing severe global cooling, catastrophic in some locations. Events January–March * December 25 1815–January 6 – Tsar Alexander I of Russia signs an order, expelling the Jesuits from St. Petersburg and Moscow. * January 9 – Sir Humphry Davy's Davy lamp is first tested underground as a coal mining safety lamp, at Hebburn Colliery in northeast England. * January 17 – Fire nearly destroys the city of St. John's, Newfoundland. * February 10 – Friedrich Karl Ludwig, Duke of Schleswig-Holstein-Sonderburg-Beck, dies and is succeeded by Friedrich Wilhelm, his son and founder of the House of Glücksburg. * February 20 – Gioachino Rossini's opera buffa ''The Barber of Seville'' premières at the Teatro Argentina in Rome. * March 1 – Th ...
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