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Kapłański
People named Kaplansky ''( pl, Kapłański (feminine Kapłańska), russian: Капланский, also Kaplanski (feminine Kaplanska))'' include: * Abraham Kaplansky (1860–1939), Canadian printer * Kalmen Kaplansky (1912–1997), Canadian labour and human rights activist * Irving Kaplansky (1917–2006), Canadian mathematician ** Kaplansky density theorem ** Kaplansky's conjecture ** Kaplansky's theorem on quadratic forms * Lucy Kaplansky (born 1960), an American folk musician, daughter of Irving Kaplansky * Shlomo Kaplansky (1884–1950), Zionist politician and President of the Technion – Israel Institute of Technology See also * Kaplan (surname) Kaplan is a surname that is of ultimately Latin origins. There is also a historically unrelated surname in Turkey. History In European languages Etymologically, the word originates from the Latin term, ''capellanus'' or ''cappellanus'', an offic ... * Kaplinsky (surname) Kohenitic surnames Polish-language surnam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaplinsky (surname)
Kaplinsky or Kaplinski is a Polish surname of Jewish origin. The surname is derived from the Polish word kaplan which became vernacular equivalent of the word Kohen, which, in turn, is a Hebrew word for priest. Notable people with the surname include: *Alan Kaplinsky (born 1945), American jurist and lawyer * (1901-1943), Estonian philologist, father of Jaan Kaplinski *Jaan Kaplinski (1941–2021), Estonian poet, philosopher, and culture critic *Leon Kaplinski (1824–1873), Polish painter and political activist *Moshe Kaplinsky (born 1957), Israeli general *Natasha Kaplinsky (born 1972), English newsreader *Raphael Kaplinsky (born 1946), American academic, father of Natasha Kaplinsky *Yoheved Kaplinsky (born 1947), Israeli-American pianist and pedagogue See also * Cohen (surname) Cohen ( he, כֹּהֵן, ''kōhēn'', "priest") is a surname of Jewish, Samaritan and biblical origins (see: Kohen). It is a very common Jewish surname (the most common in Israel), and the following ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abraham Kaplansky
Abraham Leon Kaplansky (; 1 May 1860 – 5 July 1939) was a Canadian printer, lawyer, and communal worker, who established Canada's first Hebrew and Yiddish printing press. Biography Kaplansky was born in Białystok, where he trained and worked as a printer. He immigrated to New York in 1889, where he entered the steamship ticket business, before moving to Montreal in 1893. There he established the first Hebrew and Yiddish printing press in Canada, using type imported from New York, which largely produced booklets, pamphlets, and other ephemera. Among Kaplansky's first publications were calendars for the Jewish years 5655 and 5656. In 1906 he was made a justice of the peace for the District of Montreal, and the following year he took up the study of law. He was appointed head of the legal aid service of the Baron de Hirsch Institute in 1910. Kaplansky became the first clerk of the Montreal Jewish Court of Arbitration when it was founded in 1915 under the auspices of the institute ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kalmen Kaplansky
Kalmen Kaplansky, (January 5, 1912 – December 10, 1997) was a civil, human rights and trade union activist in Canada. Alan Borovoy described Kaplansky as "the ''zaideh''" (grandfather) of the Canadian human rights movement. Kaplansky was born in Białystok in what is now Poland and emigrated to Montreal after graduating from high school in 1929.Kalmen Kaplansky , Canada's Rights Movement: A History, accessed February 2, 2008 He attempted to enroll at but the university's told the young Jewish immigrant that "my job is to keep people like ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Irving Kaplansky
Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St Andrews. http://www-history.mcs.st-andrews.ac.uk/Biographies/Kaplansky.html. Biography Kaplansky or "Kap" as his friends and colleagues called him was born in Toronto, Ontario, Canada, to Polish-Jewish immigrants; his father worked as a tailor, and his mother ran a grocery and, eventually, a chain of bakeries. He went to Harbord Collegiate Institute receiving the Prince of Wales Scholarship as a teenager. He attended the University of Toronto as an undergraduate and finished first in his class for three consecutive years. In his senior year, he competed in the first William Lowell Putnam Mathematical Competition, becoming one of the first five recipients of the Putnam Fellowship, which paid for graduate studies at Harvard University. Administe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaplansky Density Theorem
In the theory of von Neumann algebras, the Kaplansky density theorem, due to Irving Kaplansky, is a fundamental approximation theorem. The importance and ubiquity of this technical tool led Gert Pedersen to comment in one of his books that, :''The density theorem is Kaplansky's great gift to mankind. It can be used every day, and twice on Sundays.'' Formal statement Let ''K''− denote the Strong operator topology, strong-operator closure of a set ''K'' in ''B(H)'', the set of bounded operators on the Hilbert space ''H'', and let (''K'')1 denote the intersection of ''K'' with the unit ball of ''B(H)''. :Kaplansky density theorem.Theorem 5.3.5; Richard Kadison, ''Fundamentals of the Theory of Operator Algebras, Vol. I : Elementary Theory'', American Mathematical Society. . If A is a self-adjoint algebra of operators in B(H), then each element a in the unit ball of the strong-operator closure of A is in the strong-operator closure of the unit ball of A. In other words, (A)_1^ = (A^)_1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaplansky's Conjecture
The mathematician Irving Kaplansky is notable for proposing numerous conjectures in several branches of mathematics, including a list of ten conjectures on Hopf algebras. They are usually known as Kaplansky's conjectures. Group rings Let be a field, and a torsion-free group. Kaplansky's ''zero divisor conjecture'' states: * The group ring does not contain nontrivial zero divisors, that is, it is a domain. Two related conjectures are known as, respectively, Kaplansky's ''idempotent conjecture'': * does not contain any non-trivial idempotents, i.e., if , then or . and Kaplansky's ''unit conjecture'' (which was originally made by Graham Higman and popularized by Kaplansky): * does not contain any non-trivial units, i.e., if in , then for some in and in . The zero-divisor conjecture implies the idempotent conjecture and is implied by the unit conjecture. As of 2021, the zero divisor and idempotent conjectures are open. The unit conjecture, however, was disproved for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kaplansky's Theorem On Quadratic Forms
In mathematics, Kaplansky's theorem on quadratic forms is a result on simultaneous representation of primes by quadratic forms. It was proved in 2003 by Irving Kaplansky Irving Kaplansky (March 22, 1917 – June 25, 2006) was a mathematician, college professor, author, and amateur musician.O'Connor, John J.; Robertson, Edmund F., "Irving Kaplansky", MacTutor History of Mathematics archive, University of St Andr .... Statement of the theorem Kaplansky's theorem states that a prime ''p'' congruent to 1 modulo 16 is representable by both or none of ''x''2 + 32''y''2 and ''x''2 + 64''y''2, whereas a prime ''p'' congruent to 9 modulo 16 is representable by exactly one of these quadratic forms. This is remarkable since the primes represented by each of these forms individually are ''not'' describable by congruence conditions. Proof Kaplansky's proof uses the facts that 2 is a 4th power modulo ''p'' if and only if ''p'' is representable by ''x''2 + 64 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jerzy Kapłański
Jerzy is the Polish version of the masculine given name George. The most common nickname for Jerzy is Jurek (), which may also be used as an official first name. Occasionally the nickname Jerzyk may be used, which means "swift" in Polish. People *Jerzy, ''nom de guerre'' of Ryszard Białous, Polish World War II resistance fighter * Jerzy Andrzejewski, Polish writer * Jerzy Bartmiński, Polish linguist and ethnologist * Jerzy Braun (other), several people * Jerzy Brzęczek, Polish footballer and manager * Jerzy Buzek, Polish politician and former Prime Minister * Jerzy Dudek, Polish footballer * Jerzy Fedorowicz, Polish actor and theatre director * Jerzy Ficowski, Polish poet and translator * Jerzy Grotowski, Polish theatre director and theorist * Jerzy Hoffman, Polish film director, screenwriter, and producer * Jerzy Jarniewicz, Polish poet, literary critic, translator and essayist * Jerzy Janowicz, Polish tennis player * Jerzy Jurka, Polish-American computational and mol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lucy Kaplansky
Lucy Kaplansky (born February 16, 1960) is an American Folk music, folk musician based in New York City. Kaplansky has a PhD in clinical psychology from Yeshiva University and plays guitar, mandolin, and piano. Life and career Kaplansky was originally from Chicago; her father was the noted mathematician Irving Kaplansky (1917–2006). Later, she would sometimes perform math-related songs composed by her father, who was also an accomplished pianist. At the age of 18, she decided not to go to college, but moved to New York City, where she became involved in the city's folk music scene, particularly around Greenwich Village, where she played with, among others, Suzanne Vega, Shawn Colvin and Richard Shindell. In 1983, she decided to become a psychologist, enrolling at Yeshiva University. She continued playing music while pursuing her PhD, and began to have some success as part of a duo with Colvin. When they began to attract record company interest, Kaplansky declined, choosing in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shlomo Kaplansky
Shlomo Kaplansky ( he, שלמה קפלנסקי; born 7 March 1884 in Białystok - died 7 December 1950 in Haifa) was a Labour Zionist politician, who served as the secretary of the World Union of Poalei Zion. During the 1920s he was a leading advocate of a bi-national state in Palestine. Kaplansky was the President of the Technion – Israel Institute of Technology. Biography Kaplansky was one of the founders of Poale Zion, a Marxist-Jewish group. He was a Poale Zion delegate to the 10th Zionist Congress (Basle, August 1911) at which he raised the question of relations with the Arabs and advocated explaining to them the benefits that the Zionist enterprise could bring them. In June 1914, he argued that sharecroppers being evicted following Zionist land purchases should be given land outside Palestine. He was profoundly shaken by the First World War which led to his opposition to notions of armed conflict in Palestine and he hoped for the realization of Zionism by peaceful means. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technion – Israel Institute Of Technology
The Technion – Israel Institute of Technology ( he, הטכניון – מכון טכנולוגי לישראל) is a public research university located in Haifa, Israel. Established in 1912 under the dominion of the Ottoman Empire, the Technion is the oldest university in the country. The Technion is ranked as one of the top universities in both Israel and the Middle East, and in the world's top 100 universities in the 2022 Academic Ranking of World Universities. The university offers degrees in science and engineering, and related fields such as architecture, medicine, industrial management, and education. It has 19 academic departments, 60 research centers, and 12 affiliated teaching hospitals. Since its founding, it has awarded more than 123,000 degrees and its graduates are cited for providing the skills and education behind the creation and protection of the State of Israel. Technion's 565 faculty members include three Nobel Laureates in chemistry. Four Nobel Laureates ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
