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Topic: Lagrange

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In the News (Mon 24 Jun 19)

  Joseph Louis Lagrange - Wikipedia, the free encyclopedia
In 1761 Lagrange stood without a rival as the foremost mathematician living; but the unceasing labour of the preceding nine years had seriously affected his health, and the doctors refused to be responsible for his reason or life unless he would take rest and exercise.
Lagrange was a favourite of the king, who used frequently to discourse to him on the advantages of perfect regularity of life.
Lagrange, who was present, now discussed the whole subject afresh, and in a letter communicated to the Academy in 1808 explained how, by the variation of arbitrary constants, the periodical and secular inequalities of any system of mutually interacting bodies could be determined.
en.wikipedia.org /wiki/Joseph_Louis_Lagrange   (3064 words)

 Kids.net.au - Encyclopedia Joseph Louis Lagrange -   (Site not responding. Last check: 2007-10-20)
The first fruit of Lagrange's labours here was his letter, written when he was still only nineteen, to Euler, in which he solved the isoperimetrical problem[?] which for more than half a century had been a subject of discussion.
Lagrange shewed that if the potential of a body at an external point were known, the attraction in any direction could be at once found.
Lagrange, who was present, now discussed the whole subject afresh, and in a memoir communicated to the Academy in 1808 explained how, by the variation of arbitrary constants, the periodical and secular inequalities of any system of mutually interacting bodies could be determined.
www.kids.net.au /encyclopedia-wiki/jo/Joseph-Louis_de_Lagrange   (3051 words)

 New Georgia Encyclopedia: LaGrange
LaGrange, the seat of Troup County, is located approximately sixty miles southwest of Atlanta in the foothills of the western Piedmont Plateau.
LaGrange was named at the suggestion of Colonel Julius Caesar Alford (known as the "War Horse of Troup" in Congress), who in 1825 overheard Lafayette remark on the similarity between the west Georgia countryside and LaGrange, his wife's estate in France.
LaGrange's native son, the historian Ulrich Bonnell Phillips, wrote in Life and Labor in the Old South that such places as Troup County "never knew a rough regime," even when west Georgia was a frontier.
www.georgiaencyclopedia.org /nge/Article.jsp?path=/CitiesCounties/Cities&id=h-779   (1333 words)

 Learn more about Joseph Louis Lagrange in the online encyclopedia.   (Site not responding. Last check: 2007-10-20)
Two memoirs in which the method of determining the orbit of a comet from three observations is completely worked out, 1778 and 1783: this has not indeed proved practically available, but his system of calculating the perturbations by means of mechanical quadratures has formed the basis of most subsequent researches on the subject.
His determination of the secular and periodic variations of the elements of the planets, 1781-1784: the upper limits assigned for these agree closedly with those obtained later by Le Verrier, and Lagrange proceeded as far as the knowledge then possessed of the masses of the planets permitted.
Lagrange believed that he could thus get rid of those difficulties, connected with the use of infinitely large and infinitely small uantities, to which philosophers objected in the usual treatment of the differential calculus.
www.onlineencyclopedia.org /j/jo/joseph_louis_lagrange.html   (3079 words)

Lagrange was the eldest of their 11 children but one of only two to live to adulthood.
Lagrange was a major contributor to the first volumes of the Mélanges de Turin volume 1 of which appeared in 1759, volume 2 in 1762 and volume 3 in 1766.
Lagrange was greeted warmly by most members of the Academy and he soon became close friends with Lambert and Johann(III) Bernoulli.
www-gap.dcs.st-and.ac.uk /~history/Mathematicians/Lagrange.html   (2914 words)

 New Georgia Encyclopedia: LaGrange College
LaGrange College evolved from the LaGrange Female Academy, chartered by the Georgia legislature on December 26, 1831.
Located near the center of the city of LaGrange, in Troup County, LaGrange College is one of the few original academies
LaGrange Female Academy opened for instruction in 1832, with Thomas Stanley, a Methodist clergyman, serving as its principal.
www.georgiaencyclopedia.org /nge/Article.jsp?id=h-1454   (639 words)

 Joseph Louis Lagrange (1736 - 1813)   (Site not responding. Last check: 2007-10-20)
Joseph Louis Lagrange, the greatest mathematician of the eighteenth century, was born at Turin on January 25, 1736, and died at Paris on April 10, 1813.
In 1758 Lagrange established with the aid of his pupils a society, which was subsequently incorporated as the Turin Academy, and in the five volumes of its transactions, usually known as the
At a later period Lagrange reverted to the use of infinitesimals in preference to founding the differential calculus on the study of algebraic forms; and in the preface to the second edition of the
maths.tcd.ie /pub/HistMath/People/Lagrange/RouseBall/RB_Lagrange.html   (3021 words)

 Joseph-Louis Lagrange   (Site not responding. Last check: 2007-10-20)
Lagrange noted that, and could also be considered as the angles that a normal to the surface element makes with the x-, y-, and z-axes, respectively.
Finally, Lagrange's commitment to the necessity of an algebraic foundation for the calculus led him to the major accomplishment of the Fonctions Analytiques, in which he studied functions by means of their power series expansions.
Lagrange, in one of the later years of his life, imagined that he had overcome the difficulty of the parallel axiom.
math.berkeley.edu /~robin/Lagrange   (1186 words)

 Joseph-Louis Lagrange
Lagrange was largely self-taught and did not have the benefit of studying with leading mathematicians.
Lagrange used a discrete mass model for his vibrating string, which he took to consist of n masses joined by weightless strings.
Lagrange was made a member of the committee of the Académie des Sciences to standardize weights and measures in May 1790.
www.stetson.edu /~efriedma/periodictable/html/Lr.html   (892 words)

 LAGRANGE, J.L.(1736-1813)   (Site not responding. Last check: 2007-10-20)
Lagrange was born is Turin, Italy, into a formerly prosperous family of French and Italian backgrounds; he was the youngest of eleven children and the only one to survive beyond infancy.
Lagrange did much to develop the high degree of scholarship in mathematics that has become associated with the Ecole Polytechnique.
Of all his prizes in the world, Lagrange claimed, with honesty and simplicity, the one he most Valued was his tender and devoed young wife.
library.thinkquest.org /22584/temh3015.htm   (427 words)

 NASA - Home On Lagrange
Lagrange believed that in a two-body system, such as the Earth and the Sun, there would be five points nearby where an object could be sent and remain in place.
Lagrange point 2 is located the same distance from the Earth as SOHO, but in the opposite direction.
Lagrange points 4 and 5 are positioned on the Earth's orbit, about 92 million miles in front of and behind the planet as it travels around the Sun.
www.nasa.gov /vision/universe/solarsystem/f-lagrange.html   (550 words)

 Punti di Lagrange: Tutte le informazioni su Punti di Lagrange su Encyclopedia.it   (Site not responding. Last check: 2007-10-20)
Punti di Lagrange: Tutte le informazioni su Punti di Lagrange su Encyclopedia.it
I punti di Lagrange, tecnicamente chiamati punti di oscillazione, altro non sono che quelle posizioni, nello spazio, in cui le forze che agiscono su un oggetto si bilanciano, creando una situazione di equilibrio.
Questi punti sono detti di Lagrange in onore del matematico Joseph-Louis de Lagrange che nel 1772 ne calcolò la posizione.
www.encyclopedia.it /p/pu/punti_di_lagrange.html   (304 words)

 WMAP Observatory_Lagrange Points
The Italian-French mathematician Joseph-Louis Lagrange discovered five special points in the vicinity of two orbiting masses where a third, smaller mass can orbit at a fixed distance from the larger masses.
The stable Lagrange points - labeled L4 and L5 - form the apex of two equilateral triangles that have the large masses at their vertices.
The easiest way to see how Lagrange made his discovery is to adopt a frame of reference that rotates with the system.
map.gsfc.nasa.gov /m_mm/ob_techorbit1.html   (751 words)

 LaGrange Church - Titusville, Florida History
LaGrange, is a community in North Brevard County, it is an era as much as it is a place, it is a microcosm of all that went into forming these United States.
LaGrange Church was the social center for the early settlers.
LaGrange and its memories live on and are again being brought to the forefront by a group of dedicated citizens, The LaGrange Church and Cemetery Association has worked to restore the church and cemetery.
www.nbbd.com /godo/history/lagrange   (640 words)

 AllRefer.com - Lagrange, Joseph Louis, Comte (Mathematics, Biography) - Encyclopedia
Lagrange, Joseph Louis, Comte[zhOzef´ lwE kONt lAgrANzh´] Pronunciation Key, 1736–1813, French mathematician and astronomer, b.
Before the age of 20 he was professor of geometry at the royal artillery school at Turin.
Under Napoleon, Lagrange was made senator and count; he is buried in the PanthEon.
reference.allrefer.com /encyclopedia/L/Lagrange.html   (426 words)

Lagrange (APA-124) was laid down under a Maritime Commission contract 26 June 1944 by the California Ship- building Corp., Wilmington, Calif.; launched 1 September 1944; sponsored by Mrs.
Following a month of intensive preparations, Lagrange departed Dulag Harbor, Philippine Islands, as part of the western islands attack group in the greatest amphibious assault of the Pacific war, the invasion of Okinawa.
Arriving in the transport area offKerama Retto, 26 March, Lagrange successfully landed advance forces who took that small cluster of islands which served as an advance naval base for fueling, repairs, and replenishment during the conquest of Okinawa itself.
www.history.navy.mil /danfs/l1/lagrange.htm   (352 words)

 Lagrange, Joseph Louis de.   (Site not responding. Last check: 2007-10-20)
The treatise summarized the chief results in mechanics known in the 18th century and is notable for its use of the theory of differential equations.
Another central concern of Lagrange was the foundations of calculus.
Lagrange served as professor of geometry at the Royal Artillery School in Turin (1755-66) and helped to found the Royal Academy of Science there in 1757.
euler.ciens.ucv.ve /English/mathematics/lagrange.html   (329 words)

 LaGrange   (Site not responding. Last check: 2007-10-20)
LaGrange can be installed without access to root privileges, and you can install multiple instances of LaGrange in the same MySQL database.
LaGrange can (optionally) go much further to protect the privacy of users; for example, you can choose to have all site e-mails originate from a single e-mail address, so that a member's e-mail address is not revealed to recipients.
LaGrange does not require any offline (batch) processes (though some may be provided in the future).
siteframe.org /document.php?id=338   (770 words)

A career as a lawyer was planned out for Lagrange by his father, and certainly Lagrange seems to have accepted this willingly.
D'Alembert was upset that a mathematician as fine as Lagrange did not receive more honour.
By March 1766 d'Alembert knew that Euler was returning to St Petersburg and wrote again to Lagrange to encourage him to accept a post in Berlin.
www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Lagrange.html   (2914 words)

 Interpolating Lagrange curve   (Site not responding. Last check: 2007-10-20)
Drag the mouse to move the nearest Lagrange control point (a small blue square in the left window) or knot (a small fl square in the right window).
Note that Lagrange curves are not contained in the convex hull of its control points.
The analogue of the de Casteljau algorithm in the case of Lagrange curves is the Aitken algorithm
www.ibiblio.org /e-notes/Splines/Lagrange.htm   (300 words)

 Village of LaGrange, Ohio
LaGrange is approximately 20 minutes from Cleveland Hopkins International Airport, and 35 minutes from downtown Cleveland.
LaGrange Township has two public golf courses (Indian Hollow and Pheasant Run) and a new, professional golf course community opened on July 31st.
LaGrange residents recently approved a 2.7 mill replacement levy for the purpose of constructing a new water tower.
www.lagrangeohio.net   (786 words)

 Lagrange Points   (Site not responding. Last check: 2007-10-20)
Lagrange points are locations in space where gravitational forces and the orbital motion of a body balance each other.
They were discovered by French mathematician Louis Lagrange in 1772 in his gravitational studies of the 3-body problem: how a third, small body would orbit around two orbiting large ones.
An object at L4 or L5 is truly stable, like a ball in a bowl: when gently pushed away, it orbits the Lagrange point without drifting farther and farther, and without the need of frequent rocket firings.
www.freemars.org /l5/aboutl5.html   (447 words)

 Lagrange y los asteroides troyanos (24/11/98)
Cuando Lagrange leyó el trabajo de Laplace, se dió cuenta de un error en cálculos que él mismo habia realizado unos años antes (1783) y que al corregirlo obtenía casi exactamente el mismo resultado que Laplace.
Lagrange sobrevivió a la revolución francesa, se convirtió en un miembro del afamado "Bureau de Longitudes" y fue honrado por Napoleón Bonaparte.
Lagrange Falleció en 1813 y en el sepelio su obituario fue leido por Laplace.
www.inaoep.mx /~rincon/troyanos.html   (728 words)

 LaGrange, Maine   (Site not responding. Last check: 2007-10-20)
LaGrange is the only town in the Three Rivers Community that does not lie in Piscataquis County, but in Penobscot County.
Lagrange was then considered the 3rd largest organized town in Penobscot County.
Incorporated February 11, 1832, Lagrange embraced what was then known as the plantations of Oxford and Hammond bounded on the east by Kilmarnock (Medford), Howland, Township 1 (Edinburg); and on the west by Bradford and Milton (Orneville); on the south Township 3 (Alton).
www.trcmaine.org /community/lagrange.htm   (669 words)

 Lagrange Interpolation
Lagrange interpolation is a way to pass a polynomial of degree N-1 through N points.
In the applet below you can modify each of the points (by dragging it to the desired position) and the number of points by clicking at the number shown in the lower left corner of the applet.
Lagrange polynomials are the interpolating polynomials that equal zero in all given points, save one.
www.cut-the-knot.org /Curriculum/Calculus/LagrangeInterpolation.shtml   (134 words)

 LaGrange College   (Site not responding. Last check: 2007-10-20)
LaGrange College is a regional liberal arts and sciences college of about 1,000 students located in LaGrange, Georgia.
LaGrange College seeks candidates who demonstrate a commitment to undergraduate education in the liberal arts and appreciate the mission of the institution: LaGrange College is called through the United Methodist Church to challenge the minds and inspire the souls of students by improving their creative, critical and communicative abilities in a caring and ethical community.
It is a small town, but was recently the topic in an article in USA Today: “LaGrange today is on the cusp of a $50 million construction boom that will create a cultural arts district, new government and judicial offices and green space, retail and residences”.
www.lagrange.edu /primary.cfm?linkid=695   (1394 words)

 Joseph-Louis Lagrange   (Site not responding. Last check: 2007-10-20)
Lagrange succeeded Euler as the director of the Berlin Academy.
Lagrange developed the calculus of variations which was later expanded by Weierstrass.
Lagrange commented that "I have always observed that the pretensions of all people are in exact inverse ratio to their merits; this is one of the axioms of morals"
lagrange-bio.net   (165 words)

 Lagrange Points
The Italian-French mathematician Josef Lagrange discovered five special points in the vicinity of two orbiting masses where a third, smaller mass can orbit at a fixed distance from the larger masses.
More precisely, the Lagrange Points mark positions where the gravitational pull of the two large masses precisely cancels the centripetal acceleration required to rotate with them.
Those with a mathematical flair can follow this link to a derivation of Lagrange's result.
www.physics.montana.edu /faculty/cornish/lagrange.html   (761 words)

 LaGrange Fire & Rescue Department   (Site not responding. Last check: 2007-10-20)
LaGrange Fire and Rescue Department protects a population of 20,000 within an area of 51 square miles, LaGrange's fire district is made up of a mixture of residential, light commercial, industrial, and rural base.
In addition to fire and rescue operations, LaGrange personnel are trained in hazardous materials operations and many are also EMTs that provide assistance to Oldham County EMS as needed.
The LaGrange Fire and Rescue Department is governed by a Board of Directors and operates on a budget that is funded by a tax base.
www.lfrdky.com   (198 words)

 LaGrange College   (Site not responding. Last check: 2007-10-20)
Over one-third of on-campus students participate in athletics at LaGrange, which is a member of the NCAA Division III Great South Athletic Conference.
During the 2004-05 school year, LaGrange athletic teams participated in two USCAA national championship tournaments (softball, volleyball).
In the GSAC, LaGrange athletic teams won one championship (men's cross country) and were runner-ups in three other championships (baseball, softball, volleyball).
www.lagrange.edu /primary.cfm?linkid=192   (202 words)

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