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Moritz Stern
Moritz Abraham Stern (29 June 1807 – 30 January 1894) was a German mathematician. Stern became ''Ordinarius'' (full professor) at Göttingen University in 1858, succeeding Carl Friedrich Gauss. Stern was the first Jewish full professor at a German university who attained the position without changing his Jewish religion. Although Carl Gustav Jacobi preceded him (by three decades) as the first Jew to obtain a math professorial chair in Germany, Jacobi's family had converted to Christianity long before then. As a professor, Stern taught Gauss's student Bernhard Riemann. Stern was very helpful to Gotthold Eisenstein in formulating a proof of the quadratic reciprocity theorem. Stern was interested in primes that cannot be expressed as the sum of a prime and twice a square (now known as Stern primes). He is known for formulating Stern's diatomic series. :1, 1, 2, 1, 3, 2, 3, 1, 4, … that counts the number of ways to write a number as a sum of powers of two with no power used mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frankfurt
Frankfurt am Main () is the most populous city in the States of Germany, German state of Hesse. Its 773,068 inhabitants as of 2022 make it the List of cities in Germany by population, fifth-most populous city in Germany. Located in the foreland of the Taunus on its namesake Main (river), Main, it forms a continuous conurbation with Offenbach am Main; Frankfurt Rhein-Main Regional Authority, its urban area has a population of over 2.7 million. The city is the heart of the larger Rhine-Main metropolitan region, which has a population of more than 5.8 million and is Germany's Metropolitan regions in Germany, second-largest metropolitan region after the Rhine-Ruhr metropolitan region, Rhine-Ruhr region and the List of EU metropolitan regions by GDP#2021 ranking of top four German metropolitan regions, fourth largest metropolitan region by GDP in the European Union (EU). Frankfurt is one of the ''de facto'' four main capitals of the European Union (alongside Brussels, Luxembourg Cit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haaretz
''Haaretz'' (; originally ''Ḥadshot Haaretz'' – , , ) is an List of newspapers in Israel, Israeli newspaper. It was founded in 1918, making it the longest running newspaper currently in print in Israel. The paper is published in Hebrew language, Hebrew and English language, English in the Berliner (format), Berliner format, and is also available online. In North America, it is published as a weekly newspaper, combining articles from the Friday edition with a roundup from the rest of the week. ''Haaretz'' is Israel's newspaper of record. It is known for its Left-wing politics, left-wing and Liberalism in Israel, liberal stances on domestic and foreign issues. ''Haaretz'' has the third-largest Print circulation, circulation in Israel. It is widely read by international observers, especially in its English edition, and discussed in the international press. According to the Center for Research Libraries, among Israel's daily newspapers, "''Haaretz'' is considered the most infl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century German Jews
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was Abolitionism, abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, 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 Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1894 Deaths
Events January * January 4 – A military alliance is established between the French Third Republic and the Russian Empire. * January 7 – William Kennedy Dickson receives a patent for motion picture film in the United States. * January 9 – New England Telephone and Telegraph installs the first battery-operated telephone switchboard, in Lexington, Massachusetts. February * February 12 – French anarchist Émile Henry sets off a bomb in a Paris café, killing one person and wounding twenty. * February 15 ** In Korea, peasant unrest erupts in the Donghak Peasant Revolution, a massive revolt of followers of the Donghak movement. Both China and Japan send military forces, claiming to come to the ruling Joseon dynasty government's aid. ** French anarchist Martial Bourdin dies of an accidental detonation of his own bomb, next to the Royal Observatory, Greenwich, in London, England. March * March 1 – The Local Government Act (coming into effe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1807 Births
Events January–March *January 7 – The United Kingdom of Great Britain and Ireland issues an Order in Council prohibiting British ships from trading with France or its allies. *January 20 – The Sierra Leone Company, faced with bankruptcy because of the imminent abolition of the slave trade in British colonies, petitions the British government for purchase and transfer of its property to the Crown; Parliament approves the transfer on July 29, and it takes effect on January 1, 1808. *February 3 – Napoleonic Wars and Anglo-Spanish War: Battle of Montevideo – The British Army captures Montevideo from the Spanish Empire, as part of the British invasions of the Río de la Plata. *February 7 – Napoleon leads the forces of the French Empire in an invasion of the Russian Empire, and begins fighting at the Battle of Eylau against Russian and Prussian forces. *February 8 – Battle of Eylau: Napoleon fights a hard but inconclusive battle against the Russians un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stern's Diatomic Series
Stern's was a regional department store chain serving the U.S. states of New York and New Jersey. The chain was in business for more than 130 years. In 2001, Stern's parent company Federated Department Stores opted to retire the Stern's brand. Most of the stores were immediately converted to Stern's corporate sibling Macy's, some were liquidated and reopened as Bloomingdale's, and others were closed. History Stern Brothers was founded in 1867 by Isaac, Louis and Benjamin Stern, sons of German Jewish immigrants. In that year, they began selling dry goods in Buffalo, New York. From these humble beginnings, the Stern Brothers became an important merchandising family in New York City. In 1868, they moved to New York City and opened a one-room store at 367 Sixth Avenue. In 1879, the store was again relocated to larger quarters at 110 West 23rd Street. Outgrowing the store at 110 West 23rd Street, Stern Brothers erected a new structure at the same location which became the new f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Numbers
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number , called trial division, tests whether is a multiple of any integer between 2 and . Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always produ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadratic Reciprocity
In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers. Due to its subtlety, it has many formulations, but the most standard statement is: This law, together with its supplements, allows the easy calculation of any Legendre symbol, making it possible to determine whether there is an integer solution for any quadratic equation of the form x^2\equiv a \bmod p for an odd prime p; that is, to determine the "perfect squares" modulo p. However, this is a non-constructive result: it gives no help at all for finding a ''specific'' solution; for this, other methods are required. For example, in the case p\equiv 3 \bmod 4 using Euler's criterion one can give an explicit formula for the "square roots" modulo p of a quadratic residue a, namely, :\pm a^ indeed, :\left (\pm a^ \right )^2=a^=a\cdot a^\equiv a\left(\frac\right)=a \bmod p. This formula only works if it is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gotthold Eisenstein
Ferdinand Gotthold Max Eisenstein (16 April 1823 – 11 October 1852) was a German mathematician who made significant contributions to number theory and mathematical analysis, analysis. Born in Berlin, Prussia, to Jewish parents who converted to Protestantism before his birth, Eisenstein displayed exceptional mathematical talent from a young age. Early life and education Despite suffering from health problems, including meningitis, Eisenstein excelled academically. At 14, he attended Friedrich Werder Gymnasium (school), Gymnasium. By age 15, he had mastered the mathematics curriculum. His teachers recognized his mathematical abilities, one quoted as saying: He then turned to the works of Leonhard Euler and Joseph-Louis Lagrange to study differential calculus. While still a student, Eisenstein began attending lectures by Peter Gustav Lejeune Dirichlet and others at the University of Berlin. In 1843, he met William Rowan Hamilton in Dublin, who introduced him to Niels Henrik A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carl Gustav Jacobi
Carl Gustav Jacob Jacobi (; ; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants and number theory. Biography Jacobi was born of Ashkenazi Jewish parentage in Potsdam on 10 December 1804. He was the second of four children of a banker, Simon Jacobi. His elder brother, Moritz, would also become known later as an engineer and physicist. He was initially home schooled by his uncle Lehman, who instructed him in the classical languages and elements of mathematics. In 1816, the twelve-year-old Jacobi went to the Potsdam Gymnasium, where students were taught all the standard subjects: classical languages, history, philology, mathematics, sciences, etc. As a result of the good education he had received from his uncle, as well as his own remarkable abilities, after less than half a year Jacobi was moved to the senior year despite his young age. However, as the Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jewish
Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, religion, and community are highly interrelated, as Judaism is their ethnic religion, though it is not practiced by all ethnic Jews. Despite this, religious Jews regard Gerim, converts to Judaism as members of the Jewish nation, pursuant to the Conversion to Judaism, long-standing conversion process. The Israelites emerged from the pre-existing Canaanite peoples to establish Kingdom of Israel (Samaria), Israel and Kingdom of Judah, Judah in the Southern Levant during the Iron Age.John Day (Old Testament scholar), John Day (2005), ''In Search of Pre-Exilic Israel'', Bloomsbury Publishing, pp. 47.5 [48] 'In this sense, the emergence of ancient Israel is viewed not as the cause of the demise of Canaanite culture but as its upshot'. Originally, J ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zurich
Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The Urban agglomeration, urban area was home to 1.45 million people (2020), while the Zurich Metropolitan Area, Zurich metropolitan area had a total population of 2.1 million (2020). Zurich is a hub for railways, roads, and air traffic. Both Zurich Airport and Zürich Hauptbahnhof, Zurich's main railway station are the largest and busiest in the country. Permanently settled for over 2,000 years, Zurich was founded by the Roman Empire, Romans, who called it '. However, early settlements have been found dating back more than 6,400 years (although this only indicates human presence in the area and not the presence of a town that early). During the Middle Ages, Zurich gained the independent and privileged status of imperial immediacy and, in 1519 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
