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Richard Friederich Arens
Richard Friederich Arens (24 April 1919 – 3 May 2000) was an American mathematician. He was born in Iserlohn, Germany. He emigrated to the United States in 1925. Arens received his Ph.D. in 1945 from Harvard University. He was several times was a visiting scholar at the Institute for Advanced Study (1945–46, 1946–47, and 1953–54). He was an Invited Speaker at the ICM in 1950 in Cambridge, Massachusetts.Arens, Richard F. "Operations induced in conjugate spaces." In Proc. Internat. Congr. of Math.(Cambridge, Mass., 1950), vol. 1, pp. 532–533. 1950. Arens worked in functional analysis, and was a professor at UCLA for more than 40 years. He served on the editorial board of the ''Pacific Journal of Mathematics'' for 14 years 1965–1979. There are three topological spaces named for Arens in the book ''Counterexamples in Topology'', including Arens–Fort space. Arens died in Los Angeles, California. See also * Arens square * Mackey–Arens theorem Refe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
House Un-American Activities Committee
The House Committee on Un-American Activities (HCUA), popularly dubbed the House Un-American Activities Committee (HUAC), was an investigative committee of the United States House of Representatives, created in 1938 to investigate alleged disloyalty and subversive activities on the part of private citizens, public employees, and those organizations suspected of having either fascist or communist ties. It became a standing (permanent) committee in 1945, and from 1969 onwards it was known as the House Committee on Internal Security. When the House abolished the committee in 1975, its functions were transferred to the House Judiciary Committee. The committee's anti-communist investigations are often associated with McCarthyism, although Joseph McCarthy himself (as a U.S. Senator) had no direct involvement with the House committee. McCarthy was the chairman of the Government Operations Committee and its Permanent Subcommittee on Investigations of the U.S. Senate, not the House. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arens–Fort Space
In mathematics, the Arens–Fort space is a special example in the theory of topological spaces, named for Richard Friederich Arens and M. K. Fort, Jr. Definition The Arens–Fort space is the topological space (X,\tau) where X is the set of ordered pairs of non-negative integers (m, n). A subset U \subseteq X is open, that is, belongs to \tau, if and only if: * U does not contain (0, 0), or * U contains (0, 0) and also all but a finite number of points of all but a finite number of columns, where a column is a set \ with 0 \leq m \in \mathbb fixed. In other words, an open set is only "allowed" to contain (0, 0) if only a finite number of its columns contain significant gaps, where a gap in a column is significant if it omits an infinite number of points. Properties It is * Hausdorff * regular * normal It is not: * second-countable * first-countable * metrizable * compact Compact as used in politics may refer broadly to a pact or treaty; in more specific cases it may ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
German Emigrants To The United States
German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Germanic peoples (Roman times) * German language **any of the Germanic languages * German cuisine, traditional foods of Germany People * German (given name) * German (surname) * Germán, a Spanish name Places * German (parish), Isle of Man * German, Albania, or Gërmej * German, Bulgaria * German, Iran * German, North Macedonia * German, New York, U.S. * Agios Germanos, Greece Other uses * German (mythology), a South Slavic mythological being * Germans (band), a Canadian rock band * "German" (song), a 2019 song by No Money Enterprise * ''The German'', a 2008 short film * "The Germans", an episode of ''Fawlty Towers'' * ''The German'', a nickname for Congolese rebel André Kisase Ngandu See also * Germanic (other) * Germ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1919 Births
Events January * January 1 ** The Czechoslovak Legions occupy much of the self-proclaimed "free city" of Pressburg (now Bratislava), enforcing its incorporation into the new republic of Czechoslovakia. ** HMY ''Iolaire'' sinks off the coast of the Hebrides; 201 people, mostly servicemen returning home to Lewis and Harris, are killed. * January 2– 22 – Russian Civil War: The Red Army's Caspian-Caucasian Front begins the Northern Caucasus Operation against the White Army, but fails to make progress. * January 3 – The Faisal–Weizmann Agreement is signed by Emir Faisal (representing the Arab Kingdom of Hejaz) and Zionist leader Chaim Weizmann, for Arab–Jewish cooperation in the development of a Jewish homeland in Palestine, and an Arab nation in a large part of the Middle East. * January 5 – In Germany: ** Spartacist uprising in Berlin: The Marxist Spartacus League, with the newly formed Communist Party of Germany and the Independent Social De ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysts
Functional may refer to: * Movements in architecture: ** Functionalism (architecture) ** Form follows function * Functional group, combination of atoms within molecules * Medical conditions without currently visible organic basis: ** Functional symptom ** Functional disorder * Functional classification for roads * Functional organization * Functional training In mathematics * Functional (mathematics), a term applied to certain scalar-valued functions in mathematics and computer science ** Functional analysis ** Linear functional, a type of functional often simply called a functional in the context of functional analysis * Higher-order function, also called a functional, a function that takes other functions as arguments In computer science, software engineering * (C++), a header file in the C++ Standard Library * Functional design, a paradigm used to simplify the design of hardware and software devices * Functional model, a structured representation of functions, activities ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study Visiting Scholars
An institute is an organisational body created for a certain purpose. They are often research organisations (research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes can be part of a university or other institutions of higher education, either as a group of departments or an autonomous educational institution without a traditional university status such as a "university institute" (see Institute of Technology). In some countries, such as South Korea and India, private schools are sometimes referred to as institutes, and in Spain, secondary schools are referred to as institutes. Historically, in some countries institutes were educational units imparting vocational training and often incorporating libraries, also known as mechanics' institutes. The word "institute" comes from a Latin word ''institutum'' meaning "facility" or "habit"; from ''instituere'' meaning "build", "create", "raise" or "educate". ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harvard University Alumni
The list of Harvard University people includes notable graduates, professors, and administrators affiliated with Harvard University. For a list of notable non-graduates of Harvard, see notable non-graduate alumni of Harvard. For a list of Harvard's presidents, see President of Harvard University. Eight President of the United States, Presidents of the United States have graduated from Harvard University: John Adams, John Quincy Adams, Rutherford B. Hayes, John F. Kennedy, Franklin Delano Roosevelt, Theodore Roosevelt, George W. Bush, and Barack Obama. Bush graduated from Harvard Business School, Hayes and Obama from Harvard Law School, and the others from Harvard College. Over 150 Nobel Prize winners have been associated with the university as alumni, researchers or faculty. Nobel laureates Pulitzer Prize winners ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
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 t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacific Journal Of Mathematics
The Pacific Journal of Mathematics is a mathematics research journal supported by several universities and research institutes, and currently published on their behalf by Mathematical Sciences Publishers, a non-profit academic publishing organisation, and the University of California, Berkeley. It was founded in 1951 by František Wolf and Edwin F. Beckenbach and has been published continuously since, with five two-issue volumes per year and 12 issues per year. Full-text PDF versions of all journal articles are available on-line via the journal's website with a subscription. The journal is incorporated as a 501(c)(3) organization. References Mathematics journals Publications established in 1951 Mathematical Sciences Publishers academic journals {{math-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
