Since the right-hand side of the identity is clearly non-negative, it implies Cauchy's inequality in the finite-dimensional real coordinate space ℝn and its complex counterpart ℂn.
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The 6th Tennessee Cavalry was organized at Bethel Springs, LaGrange, Bolivar, and Trenton, Tennessee and mustered in 11 August 1862 for a three year enlistment under the command of Colonel Fielding Hurst.
It is especially useful for equations such as Bessel's equation where the solutions do not have a simple analytical form, because in such cases the Wronskian is difficult to compute directly.
The respondents, Pearl and Theodore Murphy of LaGrange, New York, sued the petitioner, Arlington Central School District, seeking to require them to pay for their child's private school tuition under IDEA.
The dual counterpart to BDD is FETI, which enforces the equality of the solution between the subdomain by Lagrange multipliers.
The identity is a generalization of the so-called Fibonacci identity (where n=1) which is actually found in Diophantus' Arithmetica (III, 19).
Lagrange contributed extensively to the theory, and Legendre (1786) laid down a method, not entirely satisfactory, for the discrimination of maxima and minima.
LaGrange Street, a small one-way street which runs between Washington and Tremont Streets, was the principal gathering spot for street prostitutes.
Lagrange's notation is sometimes incorrectly attributed to Newton.
The DDA contact model which was originally based on penalty method was improved by adopting the Lagrange type approach reported by Lin et al.
During his role as a preacher, he served churches in Selma, Columbiana, Montevallo, Fayetteville, Jefferson County, Greene County, Alabama and LaGrange, Georgia.
Mathematicians and astronomers (such as Laplace, Lagrange, Gauss, Poincaré, Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of the planetary motions, and this quest led to many mathematical developments, and several successive 'proofs' of stability for the solar system.
He then constructs a (Lagrange) polynomial p(x) of order k such that p(i) is equal to data symbol i.
Georges Lagrange, (August 31, 1928, Gagny, Seine-Saint-Denis – April 30, 2004 Poitiers) was a French esperanto writer, member of Academy of Esperanto.
Following the invasion of France by Germany during the Franco-Prussian War, Count Frederic de Lagrange shipped his horses out of the country to the safety of England where they were sold at a Tattersalls auction.
Examples include Tekken Hybrid, Macross Frontier: Itsuwari no Utahime and Lagrange: The Flower of Rin-ne -Kamogawa Days-.
Layne, who was 15 at the time, was attending Lyons Township High School in LaGrange, Illinois, a small-town western suburb of Chicago, when the single broke nationally.
He was born in LaGrange, Indiana, Lewis married Helen Marion Nutter 21 December 1922 in Newton, Massachusetts.
LaGrange Daily News is a newspaper owned by Heartland Publications and published daily.
Lagrange's reversion theorem is used to obtain numerical solutions to Kepler's equation.
Tom Jarriel, ABC news correspondent, was born in LaGrange in 1934.
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Louis Tompkins Wright, (1891–1952), physician, a graduate of Harvard Medical School, the first African-American physician to be appointed to the staff of a New York City municipal hospital; notable for many scientific breakthroughs, including the introduction of intradermal smallpox vaccination.
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LaGrange is named after the country estate near Paris of the Marquis de La Fayette, who visited the area in 1825.
Madoka Kyouno, a schoolgirl from Kamogawa, is the sole member of the Jersey Club and always ready to help others out.
He received his Ph.D. in 1927 from Johns Hopkins University, under the supervision of Frank Morley; his dissertation was titled Lagrange Resolvents in Euclidean Geometry.
The first girl to pose on the cover was Valérie Lagrange (the number 1 appeared on 11 January 1963)) photographed by Francis Giacobetti, future director of the soft-core movie Emmanuelle 2.
While at the Angelicum Chenu was ordained in 1919 and completed his doctorate in theology in 1920 under the direction of Reginald Garrigou-Lagrange with a dissertation entitled De contemplatione, which studied the meaning of contemplation in Thomas Aquinas.
Zundel completed his Doctor of Philosophy in 1927 at the Pontifical University of St. Thomas Aquinas, Angelicum with a dissertation directed by Reginald Garrigou-Lagrange entitled L'Influence du nominalisme sur la pensée chrétienne.
Although An Illustrated Historical Atlas of LaGrange County, Indiana (1874) translates this as "Big Squaw Village", is presently thought to be a corruption of the Miami-Illinois maankwahkionka, meaning "In the Loon Land".
This influenced the section entitled "Chapter V: The Universal Call to Holiness in the Church" in the Second Vatican Council's Dogmatic Constitution on the Church, Lumen Gentium.
By Bézout's identity, since , there exist positive integers and , that can be found using the Extended Euclidean algorithm, such that .
L5 (Lagrange Point) space colonies such as those proposed by Scientist Gerard K. O'Neill.
His most notable work included the courthouses in Van Wert, Ohio, Cambridge, Illinois, Bloomfield, Iowa, and Rockville, Lagrange, and Warsaw, Indiana.
Miles-LaGrange was nominated by President Bill Clinton on September 22, 1994, to a seat on the United States District Court for the Western District of Oklahoma vacated by Lee Roy West.
In 1977 R. C. Vaughan found a much simpler argument, based on what later became known as Vaughan's identity Vaughan's identity.