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Serge Lang
Serge Lang (; May 19, 1927 – September 12, 2005) was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential ''Algebra''. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group. As an activist, Lang campaigned against the Vietnam War, and also successfully fought against the nomination of the political scientist Samuel P. Huntington to the National Academies of Science. Later in his life, Lang was an HIV/AIDS denialist. He claimed that HIV had not been proven to cause AIDS and protested Yale's research into HIV/AIDS. Early life Lang was born in Saint-Germain-en-Laye, close to Paris, in 1927. He had a twin brother who became a basketball coach and a sister who became an actress. Lang moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. Afte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berkeley, California
Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Anglo-Irish bishop and philosopher George Berkeley. It borders the cities of Oakland, California, Oakland and Emeryville, California, Emeryville to the south and the city of Albany, California, Albany and the Unincorporated area, unincorporated community of Kensington, California, Kensington to the north. Its eastern border with Contra Costa County, California, Contra Costa County generally follows the ridge of the Berkeley Hills. The 2020 United States census, 2020 census recorded a population of 124,321. Berkeley is home to the oldest campus in the University of California, the University of California, Berkeley, and the Lawrence Berkeley National Laboratory, which is managed and operated by the university. It also has the Graduate Theological Union, one of the largest religious studies institutions in the world. Berkeley is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bourbaki Group
Bourbaki(s) may refer to : Persons and science * Charles-Denis Bourbaki (1816–1897), French general, son of Constantin Denis Bourbaki * Colonel Constantin Denis Bourbaki (1787–1827), officer in the Greek War of Independence and serving in the French military * Nicolas Bourbaki, the collective pseudonym of a group of French mathematicians ** Séminaire Nicolas Bourbaki and its follow-ups *** Séminaire Nicolas Bourbaki (1950–1959) *** Séminaire Nicolas Bourbaki (1960–1969) ** Bourbaki–Witt theorem In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed-point theorem for partially ordered sets. It states that if ''X'' is a non-empty chain complete poset, and f : X \to X such ... ** Bourbaki–Alaoglu theorem ** Jacobson–Bourbaki theorem * Nikolaos Bourbakis, computer scientist Other * A place in Algeria, now known as Khemisti, near Aïn-Tourcia and the site of ancient city and former ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Class Field Theory
In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field. Hilbert is credited as one of pioneers of the notion of a class field. However, this notion was already familiar to Kronecker and it was actually Weber who coined the term before Hilbert's fundamental papers came out. The relevant ideas were developed in the period of several decades, giving rise to a set of conjectures by Hilbert that were subsequently proved by Takagi and Artin (with the help of Chebotarev's theorem). One of the major results is: given a number field ''F'', and writing ''K'' for the maximal abelian unramified extension of ''F'', the Galois group of ''K'' over ''F'' is canonically isomorphic to the ideal class group of ''F''. This statement was generalized to the so called Artin reciprocity law; in the idelic language, writing '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quasi-algebraically Closed Field
In mathematics, a field (mathematics), field ''F'' is called quasi-algebraically closed (or ''C''1) if every non-constant homogeneous polynomial ''P'' over ''F'' has a non-trivial zero provided the number of its variables is more than its degree. The idea of quasi-algebraically closed fields was investigated by C. C. Tsen, a student of Emmy Noether, in a 1936 paper ; and later by Serge Lang in his 1951 Princeton University dissertation and in his 1952 paper . The idea itself is attributed to Lang's advisor Emil Artin. Formally, if ''P'' is a non-constant homogeneous polynomial in variables : ''X''1, ..., ''X''''N'', and of degree ''d'' satisfying : ''d'' < ''N'' then it has a non-trivial zero over ''F''; that is, for some ''x''''i'' in ''F'', not all 0, we have : ''P''(''x''1, ..., ''x''''N'') = 0. In geometric language, the hypersurface defined by ''P'', in projective space of degree , then has a point over ''F''. Examples * ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of Postgraduate education, graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North American English, North America), pronounced as three separate letters ( ). The University of Oxford uses the alternative abbreviation "DPhil". PhDs are awarded for programs across the whole breadth of academic fields. Since it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and, in some cases, defend their work before a panel of other experts in the field. In many fields, the completion of a PhD is typically required for employment as a university professor, researcher, or scientist. Definition In the context o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Beverly Hills High School
Beverly Hills High School (shortly as BHHS or Beverly) is a public high school in Beverly Hills, California. The other public high school in Beverly Hills is Moreno High School, a small alternative school located on Beverly Hills High School's campus. Beverly Hills High School is part of the Beverly Hills Unified School District and located on on the west side of Beverly Hills, at the border of the Century City, Los Angeles, Century City area of Los Angeles. The land was previously part of the Beverly Hills Speedway board track racing, board track, which was torn down in 1924. Beverly, which serves all of Beverly Hills, was founded in 1927. The original buildings were designed by Robert D. Farquhar in the French Normandy style. The school previously received income from its on-campus oil tower. History Beverly Hills High School was originally in the Los Angeles City High School District. On March 23, 1936, the Beverly Hills Elementary School District left the Los Angeles City H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
California
California () is a U.S. state, state in the Western United States that lies on the West Coast of the United States, Pacific Coast. It borders Oregon to the north, Nevada and Arizona to the east, and shares Mexico–United States border, an international border with the Mexico, Mexican state of Baja California to the south. With almost 40million residents across an area of , it is the List of states and territories of the United States by population, largest state by population and List of U.S. states and territories by area, third-largest by area. Prior to European colonization of the Americas, European colonization, California was one of the most culturally and linguistically diverse areas in pre-Columbian North America. European exploration in the 16th and 17th centuries led to the colonization by the Spanish Empire. The area became a part of Mexico in 1821, following Mexican War of Independence, its successful war for independence, but Mexican Cession, was ceded to the U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Notices Of The American Mathematical Society
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume was published in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Beginning with the January 2025 issue, the editor-in-chief is Mark C. Wilson, succeeding past editor Erica Flapan. The cover regularly features mathematical visualizations. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom reside outside the United States. By publishing high-level exposition, the ''Notices'' provides opportunities for mathematicians to find out what is going on in the field. Each is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saint-Germain-en-Laye
Saint-Germain-en-Laye () is a Communes of France, commune in the Yvelines Departments of France, department in the Île-de-France in north-central France. It is located in the western suburbs of Paris, from the Kilometre Zero, centre of Paris. Inhabitants are called ''Saint-Germanois'' or ''Saint-Germinois''. With its elegant tree-lined streets it is one of the more affluent suburbs of Paris, combining both high-end leisure spots and exclusive residential neighborhoods (see the Golden Triangle of the Yvelines). Saint-Germain-en-Laye is a Subprefectures in France, sub-prefecture of the department. Because it includes the Forest of Saint-Germain-en-Laye, National Forest of Saint-Germain-en-Laye, it covers approximately , making it the largest commune in the Yvelines. It occupies a large loop of the Seine. Saint-Germain-en-Laye lies at one of the western termini of RER A, Line A of the Réseau Express Régional, RER. History Saint-Germain-en-Laye was founded in 1020 when King ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AIDS
The HIV, human immunodeficiency virus (HIV) is a retrovirus that attacks the immune system. Without treatment, it can lead to a spectrum of conditions including acquired immunodeficiency syndrome (AIDS). It is a Preventive healthcare, preventable disease. It can be managed with treatment and become a manageable chronic health condition. While there is no cure or vaccine for HIV, Management of HIV/AIDS, antiretroviral treatment can slow the course of the disease, and if used before significant disease progression, can extend the life expectancy of someone living with HIV to a nearly standard level. An HIV-positive person on treatment can expect to live a normal life, and die with the virus, not of it. Effective #Treatment, treatment for HIV-positive people (people living with HIV) involves a life-long regimen of medicine to suppress the virus, making the viral load undetectable. Treatment is recommended as soon as the diagnosis is made. An HIV-positive person who has an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AIDS Denialist
HIV/AIDS denialism is the belief, despite conclusive evidence to the contrary, that the human immunodeficiency virus (HIV) does not cause acquired immune deficiency syndrome (AIDS). Some of its proponents reject the existence of HIV, while others accept that HIV exists but argue that it is a harmless passenger virus and not the cause of AIDS. Insofar as they acknowledge AIDS as a real disease, they attribute it to some combination of sexual behavior, recreational drugs, malnutrition, poor sanitation, haemophilia, or the effects of the medications used to treat HIV infection (antiretrovirals). The scientific consensus is that the evidence showing HIV to be the cause of AIDS is conclusive and that HIV/AIDS denialist claims are pseudoscience based on conspiracy theories, faulty reasoning, cherry picking, and misrepresentation of mainly outdated scientific data. As evidence mounted against denialism, combined with those with HIV/AIDS living much longer, these claims stopped being be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
