Koblitz Curve
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Koblitz Curve
Neal I. Koblitz (born December 24, 1948) is a Professor of Mathematics at the University of Washington. He is also an adjunct professor with the Centre for Applied Cryptographic Research at the University of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography. Biography Koblitz received his undergraduate degree from Harvard University in 1969. While at Harvard, he was a Putnam Fellow in 1968. He received his Ph.D. from Princeton University in 1974 under the direction of Nick Katz. From 1975 to 1979 he was an instructor at Harvard University. In 1979 he began working at the University of Washington. Koblitz's 1981 article "Mathematics as Propaganda" criticized the misuse of mathematics in the social sciences and helped motivate Serge Lang's successful challenge to the nomination of political scientist Samuel P. Huntington to the National Academy of Sciences. In ''The Mathematical Intelligencer'', Kob ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ...
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Samuel P
Samuel ''Šəmūʾēl'', Tiberian: ''Šămūʾēl''; ar, شموئيل or صموئيل '; el, Σαμουήλ ''Samouḗl''; la, Samūēl is a figure who, in the narratives of the Hebrew Bible, plays a key role in the transition from the biblical judges to the United Kingdom of Israel under Saul, and again in the monarchy's transition from Saul to David. He is venerated as a prophet in Judaism, Christianity, and Islam. In addition to his role in the Hebrew scriptures, Samuel is mentioned in Jewish rabbinical literature, in the Christian New Testament, and in the second chapter of the Quran (although Islamic texts do not mention him by name). He is also treated in the fifth through seventh books of ''Antiquities of the Jews'', written by the Jewish scholar Josephus in the first century. He is first called "the Seer" in 1 Samuel 9:9. Biblical account Family Samuel's mother was Hannah and his father was Elkanah. Elkanah lived at Ramathaim in the district of Zuph. His genealog ...
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Gross–Koblitz Formula
In mathematics, the Gross–Koblitz formula, introduced by expresses a Gauss sum using a product of values of the p-adic gamma function. It is an analog of the Chowla–Selberg formula for the usual gamma function. It implies the Hasse–Davenport relation and generalizes the Stickelberger theorem. gave another proof of the Gross–Koblitz formula (Boyarski being a pseudonym of Bernard Dwork Bernard Morris Dwork (May 27, 1923 – May 9, 1998) was an American mathematician, known for his application of ''p''-adic analysis to local zeta functions, and in particular for a proof of the first part of the Weil conjectures: the rationality ...), and gave an elementary proof. Statement The Gross–Koblitz formula states that the Gauss sum τ can be given in terms of the ''p''-adic gamma function Γ''p'' by :\tau_q(r) = -\pi^\prod_\Gamma_p \left(\frac \right) where * ''q'' is a power ''p''''f'' of a prime ''p'' *''r'' is an integer with 0 ≤ r < q–1 * ''r''(i) is t ...
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List Of University Of Waterloo People
The University of Waterloo, located in Waterloo, Ontario, Canada, is a comprehensive public university that was founded in 1957 by Drs. Gerry Hagey and Ira G. Needles. It has grown into an institution of more than 42,000 students, faculty, and staff. The school is notable for being the first accredited university in North America to create a Faculty of Mathematics, which is now the world's largest, and to have the largest cooperative education program in the world. The school is also known for having more companies formed by its faculty, students, and alumni than any other Canadian university, and as such, the university has been called the "Silicon Valley of the North". The list is drawn from notable faculty, alumni, staff, and former university presidents. The enrollment for 2020 was 36,057 undergraduate and 6,231 graduate students, with 1,350 faculty members and 2,596 staff. About 221,000 people have graduated from the university, and now reside in over 150 countries. Alum ...
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Việt Nam News
''Việt Nam News'' is an English-language daily print newspaper with offices in Hanoi and Ho Chi Minh, published by the Vietnam News Agency, the news service of the government of Vietnam. The newspaper was first published in 1991. It is published seven days a week and is the main English newspaper in Vietnam. The paper is a member of the Asia News Network. See also * Media of Vietnam Television in Vietnam began to appear in the mid-1960s in Saigon (in the former Republic of Vietnam), with the appearance of Saigon Television Station. In 1970, in the North, Voice of Vietnam broadcast the first test television program. In the ... * '' Saigon Times'' References Newspapers published in Vietnam English-language newspapers published in Asia Publications established in 1991 1991 establishments in Vietnam Mass media in Hanoi {{Vietnam-media-stub ...
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Lê Thị Thanh Nhàn
Lê Thị Thanh Nhàn (born March 23, 1970)Personal data for Lê Thị Thanh Nhàn
, , retrieved 2015-07-23.
is a who is a professor of mathematics and vice rector for the College of Science at .
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Sofia Kovalevskaia
Sofya Vasilyevna Kovalevskaya (russian: link=no, Софья Васильевна Ковалевская), born Korvin-Krukovskaya ( – 10 February 1891), was a Russian mathematician who made noteworthy contributions to analysis, partial differential equations and mechanics. She was a pioneer for women in mathematics around the world – the first woman to obtain a doctorate (in the modern sense) in mathematics, the first woman appointed to a full professorship in northern Europe and one of the first women to work for a scientific journal as an editor. According to historian of science Ann Hibner Koblitz, Kovalevskaya was "the greatest known woman scientist before the twentieth century". Historian of mathematics Roger Cooke writes: Her sister was the socialist Anne Jaclard. There are several alternative transliterations of her name. She herself used Sophie Kowalevski (or occasionally Kowalevsky) in her academic publications. Background and early education Sofya Kovalevskaya ...
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Developing Countries
A developing country is a sovereign state with a lesser developed industrial base and a lower Human Development Index (HDI) relative to other countries. However, this definition is not universally agreed upon. There is also no clear agreement on which countries fit this category. The term low and middle-income country (LMIC) is often used interchangeably but refers only to the economy of the countries. The World Bank classifies the world's economies into four groups, based on gross national income per capita: high, upper-middle, lower-middle, and low income countries. Least developed countries, landlocked developing countries and small island developing states are all sub-groupings of developing countries. Countries on the other end of the spectrum are usually referred to as high-income countries or developed countries. There are controversies over this term's use, which some feel it perpetuates an outdated concept of "us" and "them". In 2015, the World Bank declared that ...
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Ann Hibner Koblitz
Ann Hibner Koblitz (born 1952) is a Professor Emerita of Women and Gender Studies at Arizona State University known for her studies of the history of women in science. She is the Director of the Kovalevskaia Fund, which supports women in science in developing countries. Education and career She received her B.A. in history of science from Princeton University, where she was in the first class of women admitted as undergraduates. She earned her Ph.D. in history from Boston University. She studied and did research in the Soviet Union in 1974–75, 1978, 1981–82, 1985, and 1986. In 1984–85 she was a member of the Institute for Advanced Study in Princeton, after which she had temporary teaching positions at Wellesley College, Oregon State University, and the University of Puget Sound. From 1989 to 1998 she taught at Hartwick College in Oneonta, New York. Since 1998 she has been a professor at Arizona State University. Controversies In a graduate seminar in 1977 Ann Hibner K ...
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Victor S
The name Victor or Viktor may refer to: * Victor (name), including a list of people with the given name, mononym, or surname Arts and entertainment Film * ''Victor'' (1951 film), a French drama film * ''Victor'' (1993 film), a French short film * ''Victor'' (2008 film), a 2008 TV film about Canadian swimmer Victor Davis * ''Victor'' (2009 film), a French comedy * ''Victor'', a 2017 film about Victor Torres by Brandon Dickerson * ''Viktor'' (film), a 2014 Franco/Russian film Music * ''Victor'' (album), a 1996 album by Alex Lifeson * "Victor", a song from the 1979 album ''Eat to the Beat'' by Blondie Businesses * Victor Talking Machine Company, early 20th century American recording company, forerunner of RCA Records * Victor Company of Japan, usually known as JVC, a Japanese electronics corporation originally a subsidiary of the Victor Talking Machine Company ** Victor Entertainment, or JVCKenwood Victor Entertainment, a Japanese record label ** Victor Interactive So ...
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Elliptic-curve Cryptography
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. ECC allows smaller keys compared to non-EC cryptography (based on plain Galois fields) to provide equivalent security.Commercial National Security Algorithm Suite and Quantum Computing FAQ
U.S. National Security Agency, January 2016.
Elliptic curves are applicable for , s,
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Herbert A
Herbert may refer to: People Individuals * Herbert (musician), a pseudonym of Matthew Herbert Name * Herbert (given name) * Herbert (surname) Places Antarctica * Herbert Mountains, Coats Land * Herbert Sound, Graham Land Australia * Herbert, Northern Territory, a rural locality * Herbert, South Australia. former government town * Division of Herbert, an electoral district in Queensland * Herbert River, a river in Queensland * County of Herbert, a cadastral unit in South Australia Canada * Herbert, Saskatchewan, Canada, a town * Herbert Road, St. Albert, Canada New Zealand * Herbert, New Zealand, a town * Mount Herbert (New Zealand) United States * Herbert, Illinois, an unincorporated community * Herbert, Michigan, a former settlement * Herbert Creek, a stream in South Dakota * Herbert Island, Alaska Arts, entertainment, and media Fictional entities * Herbert (Disney character) This list of Donald Duck universe characters focuses on Disney cartoon and comics characte ...
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