Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form where n is a given positive nonsquare integer, and integer solutions are sought for x and y. In Cartesian coordinates, the equation is represented by a hyperbola; solutions occur wherever the curve passes through a point whose x and y coordinates are both integers, such as the trivial solution with x = 1 and y = 0. Joseph Louis Lagrange proved that, as long as n is not a perfect square, Pell's equation has infinitely many distinct integer solutions. These solutions may be used to accurately approximate the square root of n by rational numbers of the form x/y.
Claiborne de Borda Pell was an American politician and writer who served as a U.S. Senator from Rhode Island for six terms from 1961 to 1997. He was the sponsor of the 1972 bill that reformed the Basic Educational Opportunity Grant, which provides financial aid funding to American college students; the grant was given Pell's name in 1980 in honor of his work in education legislation.
John Forbes may refer to:
John Pell was an English mathematician and political agent abroad.
George Pell is an Australian cardinal of the Catholic Church. He served as the inaugural prefect of the Secretariat for the Economy between 2014 and 2019, and was a member of the Council of Cardinal Advisers between 2013 and 2018. Ordained a priest in 1966 and bishop in 1987, he was made a cardinal in 2003. Pell served as the eighth Archbishop of Sydney (2001–2014), the seventh Archbishop of Melbourne (1996–2001) and an auxiliary bishop of Melbourne (1987–1996). He has also been an author, columnist and public speaker. Since 1996, Pell has maintained a high public profile on a wide range of issues, while retaining an adherence to Catholic orthodoxy.
Thomas Pell, 1st Lord of Pelham Manor was an English-born physician who bought the area known as Pelham, New York, as well as land that now includes the eastern Bronx and southern Westchester County, New York, and founded the town of Westchester at the head of navigation on Westchester Creek in 1654.
Saunderson is a surname. It may refer to:
Farkas is a Hungarian surname or a given name; the latter corresponds in the Catholic tradition to the German name Wolfgang.
Pell is a surname shared by several notable people, listed below
John Napier (1550–1617) was a Scottish mathematician, physicist and astronomer.
Johann Rahn was a Swiss mathematician who is credited with the first use of the division sign, ÷ and the therefore sign, ∴. The symbols were used in Teutsche Algebra, published in 1659. John Pell collaborated with Rahn in this book, which contains an example of the Pell equation. It is uncertain whether Rahn or Pell was responsible for introducing the symbols.
Anna Wheeler may refer to:
Anna Johnson Pell Wheeler was an American mathematician. She is best known for early work on linear algebra in infinite dimensions, which has later become a part of functional analysis.
Hugh Montgomery may refer to:
Sir Charles Cavendish was an English aristocrat, Member of Parliament for Nottingham, and patron.
Anna Johnson may refer to:
Morris Birkbeck Pell was an American-Australian mathematician, professor, lawyer and actuary. He became the inaugural Professor of Mathematics and Natural Philosophy at the University of Sydney in 1852, and continued in the role until ill health enforced his retirement in 1877. He was for many years a member of the University Senate, and councillor and secretary of the Royal Society of New South Wales.
John Pelling may refer to:
Robert Livingston Pell was an American landowner and descendant of several prominent colonial families of New York.
Sir John Pell IV, 2nd Lord of Pelham Manor was a British-born American landowner who owned Pelham, New York, as well as land that now includes the eastern Bronx and southern Westchester County, New York.
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