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André Bloch (mathematician)
André Bloch (20 November 1893 – 11 October 1948) was a French mathematician who is best remembered for his fundamental contribution to complex analysis. Bloch killed three of his family members, for which he was institutionalized in a mental asylum for 31 years, during which all of his mathematical output was produced. Early life Bloch was born in 1893 in Besançon, France. According to one of his teachers, Georges Valiron, both André Bloch and his younger brother Georges were in the same class in October 1910. Valiron believed Georges to have the better talent, and due to lack of preparation, André finished last in the class. André was spared from failing the class by convincing Ernest Vessiot to give him an oral exam. The exam convinced Vessiot of Andre's talent and both André and Georges entered the École Polytechnique.G. Valiron, Des Théorèmes de Bloch aux Théories d'Ahlfors, Bulletin des Sciences Mathematiques 73 (1949) 152–162.D. Campbell, Beauty and th ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Eugenics
Eugenics ( ; ) is a fringe set of beliefs and practices that aim to improve the genetic quality of a human population. Historically, eugenicists have attempted to alter human gene pools by excluding people and groups judged to be inferior or promoting those judged to be superior. In recent years, the term has seen a revival in bioethical discussions on the usage of new technologies such as CRISPR and genetic screening, with a heated debate on whether these technologies should be called eugenics or not. The concept predates the term; Plato suggested applying the principles of selective breeding to humans around 400 BC. Early advocates of eugenics in the 19th century regarded it as a way of improving groups of people. In contemporary usage, the term ''eugenics'' is closely associated with scientific racism. Modern bioethicists who advocate new eugenics characterize it as a way of enhancing individual traits, regardless of group membership. While eugenic principles have be ...
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Bloch's Theorem (complex Variables)
In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower bound on the size of a disk in which an inverse to a holomorphic function exists. It is named after André Bloch. Statement Let ''f'' be a holomorphic function in the unit disk , ''z'',  ≤ 1 for which :, f'(0), =1 Bloch's Theorem states that there is a disk S ⊂ D on which f is biholomorphic and f(S) contains a disk with radius 1/72. Landau's theorem If ''f'' is a holomorphic function in the unit disk with the property , ''f′''(0), = 1, then let ''Lf'' be the radius of the largest disk contained in the image of ''f''. Landau's theorem states that there is a constant ''L'' defined as the infimum of ''Lf'' over all such functions ''f'', and that ''L'' ≥ ''B''. This theorem is named after Edmund Landau. Valiron's theorem Bloch's theorem was inspired by the following theorem of Georges Valiron: Theorem. If ''f'' ...
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Leukemia
Leukemia ( also spelled leukaemia and pronounced ) is a group of blood cancers that usually begin in the bone marrow and result in high numbers of abnormal blood cells. These blood cells are not fully developed and are called ''blasts'' or ''leukemia cells''. Symptoms may include bleeding and bruising, bone pain, fatigue, fever, and an increased risk of infections. These symptoms occur due to a lack of normal blood cells. Diagnosis is typically made by blood tests or bone marrow biopsy. The exact cause of leukemia is unknown. A combination of genetic factors and environmental (non-inherited) factors are believed to play a role. Risk factors include smoking, ionizing radiation, petrochemicals (such as benzene), prior chemotherapy, and Down syndrome. People with a family history of leukemia are also at higher risk. There are four main types of leukemia— acute lymphoblastic leukemia (ALL), acute myeloid leukemia (AML), chronic lymphocytic leukemia (CLL) and chronic myeloi ...
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Sainte-Anne Hospital Center
The Sainte-Anne Hospital Center (French: ''Centre hospitalier Sainte-Anne'') is a hospital located in the 14th arrondissement of Paris, specializing in psychiatry, neurology, neurosurgery, neuroimaging and addiction. With its creation dating to 1651, the organization remains, along with the Esquirol Hospital in Saint-Maurice, the symbol of psychiatric asylums in France. History Creation of the Sainte-Anne Hospital Center The letters patent of the king confirming the transfer of the services from the hospital of the health of the to the Sainte-Anne hospital date to May 1651. By the contract of 7 July 1651, between the governors of the Hôtel-Dieu and the founders of power of the Queen Regent Anne of Austria, the Hôtel-Dieu gave up the buildings and the grounds of the House of Health, the queen giving in exchange the 21 arpents (about 26.5 acres) of land chosen to establish the new hospital, which was to take the name of the patron saint of the mother of Louis XIV, Sai ...
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Nazi
Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right totalitarian political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Nazi Germany. During Hitler's rise to power in 1930s Europe, it was frequently referred to as Hitlerism (german: Hitlerfaschismus). The later related term " neo-Nazism" is applied to other far-right groups with similar ideas which formed after the Second World War. Nazism is a form of fascism, with disdain for liberal democracy and the parliamentary system. It incorporates a dictatorship, fervent antisemitism, anti-communism, scientific racism, and the use of eugenics into its creed. Its extreme nationalism originated in pan-Germanism and the ethno-nationalist '' Völkisch'' movement which had been a prominent aspect of German nationalism since the late 19th century, and it was strongly influenced by the paramilitary groups that ...
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Pseudonym
A pseudonym (; ) or alias () is a fictitious name that a person or group assumes for a particular purpose, which differs from their original or true name (orthonym). This also differs from a new name that entirely or legally replaces an individual's own. Many pseudonym holders use pseudonyms because they wish to remain anonymous, but anonymity is difficult to achieve and often fraught with legal issues. Scope Pseudonyms include stage names, user names, ring names, pen names, aliases, superhero or villain identities and code names, gamer identifications, and regnal names of emperors, popes, and other monarchs. In some cases, it may also include nicknames. Historically, they have sometimes taken the form of anagrams, Graecisms, and Latinisations. Pseudonyms should not be confused with new names that replace old ones and become the individual's full-time name. Pseudonyms are "part-time" names, used only in certain contexts – to provide a more clear-cut separation between o ...
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Jewish
Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The people of the Kingdom of Israel and the ethnic and religious group known as the Jewish people that descended from them have been subjected to a number of forced migrations in their history" and Hebrews of historical History of ancient Israel and Judah, Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated, "Historically, the religious and ethnic dimensions of Jewish identity have been closely interwoven. In fact, so closely bound are they, that the traditional Jewish lexicon hardly distinguishes between the two concepts. Jewish religious practice, by definition, was observed exclusively by the Jewish people, and notions of Jewish peoplehood, nation, and community were suffused with faith in the Jewish God, ...
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German Military Administration In Occupied France During World War II
The Military Administration in France (german: Militärverwaltung in Frankreich; french: Occupation de la France par l'Allemagne) was an interim occupation authority established by Nazi Germany during World War II to administer the occupied zone in areas of northern and western France. This so-called ' was established in June 1940, and renamed ' ("north zone") in November 1942, when the previously unoccupied zone in the south known as ' ("free zone") was also occupied and renamed ' ("south zone"). Its role in France was partly governed by the conditions set by the Second Armistice at after the success of the leading to the Fall of France; at the time both French and Germans thought the occupation would be temporary and last only until Britain came to terms, which was believed to be imminent. For instance, France agreed that its soldiers would remain prisoners of war until the cessation of all hostilities. The "French State" (') replaced the French Third Republic that had ...
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Jacques Hadamard
Jacques Salomon Hadamard (; 8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex analysis, differential geometry and partial differential equations. Biography The son of a teacher, Amédée Hadamard, of Jewish descent, and Claire Marie Jeanne Picard, Hadamard was born in Versailles, France and attended the Lycée Charlemagne and Lycée Louis-le-Grand, where his father taught. In 1884 Hadamard entered the École Normale Supérieure, having placed first in the entrance examinations both there and at the École Polytechnique. His teachers included Tannery, Hermite, Darboux, Appell, Goursat and Picard. He obtained his doctorate in 1892 and in the same year was awarded the for his essay on the Riemann zeta function. In 1892 Hadamard married Louise-Anna Trénel, also of Jewish descent, with whom he had three sons and two daughters. The following year he took up a lectureship in the University of Bordeaux, where he ...
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George Pólya
George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. He has been described as one of The Martians, an informal category which included one of his most famous students at ETH Zurich, John Von Neumann. Life and works Pólya was born in Budapest, Austria-Hungary, to Anna Deutsch and Jakab Pólya, Hungarian Jews who had converted to Christianity in 1886. Although his parents were religious and he was baptized into the Catholic Church upon birth, George eventually grew up to be an agnostic. He was a professor of mathematics from 1914 to 1940 at ETH Zürich in Switzerland and from 1940 to 1953 at Stanford University. He remained a Pr ...
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Bloch's Constant
In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower bound on the size of a disk in which an inverse to a holomorphic function exists. It is named after André Bloch. Statement Let ''f'' be a holomorphic function in the unit disk , ''z'',  ≤ 1 for which :, f'(0), =1 Bloch's Theorem states that there is a disk S ⊂ D on which f is biholomorphic and f(S) contains a disk with radius 1/72. Landau's theorem If ''f'' is a holomorphic function in the unit disk with the property , ''f′''(0), = 1, then let ''Lf'' be the radius of the largest disk contained in the image of ''f''. Landau's theorem states that there is a constant ''L'' defined as the infimum of ''Lf'' over all such functions ''f'', and that ''L'' ≥ ''B''. This theorem is named after Edmund Landau. Valiron's theorem Bloch's theorem was inspired by the following theorem of Georges Valiron: Theorem. If ''f' ...
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