* Arnold conjecture

First introduced by Andreas Floer in his proof of the Arnold conjecture in symplectic geometry, Floer homology is a novel homology theory arising as an infinite dimensional analog of finite dimensional Morse homology.

Thus, the sum of the Betti numbers of that manifold yields the lower bound predicted by one version of the Arnold conjecture for the number of fixed points for a nondegenerate symplectomorphism.

Arnold Palmer, the defending champion, lost his title on the 72nd hole after a few minutes of misfortune that left even his fellow pros gaping in disbelief.

Long after the erratic climate and the washed-out final round on Sunday have become meteorological footnotes, the 1961 Masters will be remembered as the scene of the mano a mano between Arnold Palmer and Gary Player.

As the world's top sportsman -- pro or amateur -- Sports Illustrated tapped golf's confident Arnold Palmer ( Time cover, May 2 ), who staged two cliffhanging rallies to win both the Masters and U.S. Open crowns, went on to win a record $80,738 for the year.

Even Arnold Houbraken, a noted historian of Dutch Golden Age paintings and the sole authority on Cuyp for the hundred years following his death, paints a very thin biographical picture.

In 1950, St. John Publications produced the digest-sized, adult-oriented " picture novel " It Rhymes with Lust, a 128-page digest by pseudonymous writer " Drake Waller " ( Arnold Drake and Leslie Waller ), penciler Matt Baker and inker Ray Osrin, touted as " an original full-length novel " on its cover.

His albums also became more popular, and he was featured on ABC-TV's The Eddy Arnold Show during the summer of 1956 ; as well as on Country Music Jubilee in 1957 and 58 ( by then renamed Jubilee USA ).

Intending to work with his father on their ranch, Brubeck entered the College of the Pacific ( now the University of the Pacific ) studying veterinary science, but transferred on the urging of the head of zoology, Dr. Arnold, who told him " Brubeck, your mind's not here.

While on active duty, he received two lessons from Arnold Schoenberg at UCLA in an attempt to connect with High Modernism theory and practice.

On the afternoon of May 9, Benedict Arnold quite unexpectedly arrived on the scene.

In a private discussion, Allen and Arnold reached an accommodation, the essence of which was that Arnold and Allen would both be at the front of the troops when the attack on the fort was made.

On May 14, following the arrival of 100 men recruited by Arnold's captains, and the arrival of a schooner and some bateaux that had been taken at Skenesboro, Arnold and 50 of his men sailed north to raid Fort St. John, on the Richelieu River downstream from the lake, where a small British warship was reported by the prisoners to be anchored.

Arnold generously opened his stores to Allen's hungry men, and tried to dissuade Allen from his objective, noting that it was likely the alarm had been raised and troops were on their way to St. John.

He was born Edgar Poe in Boston, Massachusetts, on January 19, 1809, the second child of English-born actress Elizabeth Arnold Hopkins Poe and actor David Poe, Jr.

However, focusing on this approach to defining euthanasia may also lead to counterexamples: such definitions may encompass killing a person suffering from an incurable disease for personal gain ( such as to claim an inheritance ), and commentators such as Tom Beauchamp & Arnold Davidson have argued that doing such would constitute " murder simpliciter " rather than euthanasia.

Arnold Jacobs, a tubist and well-regarded brass teacher, believed that it was best for the student to focus on his or her use of the air and musical expression to allow the embouchure to develop naturally on its own.

Mason and Howard, in order to give the film more of an American feel, came up with the idea of inserting newly-shot footage of newscaster Eric Carter, a UN reporter who spends much of the time commenting on the action from the UN Headquarters via an International Communication Satellite ( ICS ) broadcast, and Arnold Johnson, the head of the Museum of Natural History in New York, who tries to explain Godzilla's origin and his and Kong's motivations.

Following Harrison, the marine timekeeper was reinvented yet again by John Arnold who while basing his design on Harrison's most important principles, at the same time simplified it enough for him to produce equally accurate but far less costly marine chronometers in quantity from around 1783.

The operatic innovations of Arnold Schoenberg and his successors are discussed in the section on modernism.

* The Decline of the West was an important influence on historian Arnold J. Toynbee's similarly themed work A Study of History.

He co-founded venues including the UFO Club, produced Pink Floyd's first single, " Arnold Layne ", and went on to manage folk and folk rock acts including Nick Drake, the Incredible String Band and Fairport Convention.

The doctrinal questions which he was called on to decide were those that condemned the opinions of Pierre Abélard and of Arnold of Brescia.

A number of poets belong to both academia and slam: as noted above Jeffrey McDaniel slammed on several poetry slam teams, and has since published several books and currently teaches at Sarah Lawrence College ; Patricia Smith, a four-time national slam champion, went on to win several prestigious literary awards, including being nominated for the 2008 National Book Award, and being inducted into the International Literary Hall of Fame for Writers of African Descent in 2006 ; Bob Holman founded the Nuyorican Poetry Slam has taught for years at the New School, Bard, Columbia and NYU ; Craig Arnold won the Yale Series of Younger Poets Competition and has competed at slams ; Kip Fulbeck, a professor of Art at the University of California, Santa Barbara competed in slam in the early-1990s and initiated the first spoken word course to be taught as part of a college art program's core curriculum ; and poet / academics such as Michael Salinger, Felice Belle, Javon Johnson, Susan B. Anthony Somers-Willett, Robbie Q. Telfer, Phil West, Ragan Fox, and Karyna McGlynn have devoted much attention to the merging of the poetry slam community and the academic community in their respective works.

While a student of Andrey Kolmogorov at Moscow State University and still a teenager, Arnold showed in 1957 that any continuous function of several variables can be constructed with a finite number of two-variable functions, thereby partially solving Hilbert's thirteenth problem.

He had a number of criminal aliases known by the British police, amongst them Edward Edwards, Arnold Thompson and Edward Simpson.

The Special Olympics movement has attracted the support of a number of international sportsmen and other celebrities, including Rafer Johnson, Bono, Joe Jonas, Derek Poundstone, Padraig Harrington, Jackie Chan, Zhang Ziyi, Yao Ming, Nadia Comaneci, Bart Conner, Vanessa Williams, Mary Alice Pearce DeVane, Colin Farrell and Arnold Schwarzenegger.

Beginning in the mid-1980s, actors such as the burly ex-bodybuilder Arnold Schwarzenegger and Sylvester Stallone wielded automatic weapons in a number of action films.

There have been a number of notable Old Rugbeians including the purported father of the sport of Rugby William Webb Ellis, the inventor of Australian rules football Tom Wills, the war poets Rupert Brooke and John Gillespie Magee, Jr., Prime Minister Neville Chamberlain, author and mathematician Lewis Carroll, poet and cultural critic Matthew Arnold, the author and social critic Salman Rushdie ( who said of his time there: " Almost the only thing I am proud of about going to Rugby school was that Lewis Carroll went there too.

The cadet social center is Arnold Hall, located just outside the Cadet Area, which houses a 3000-seat theater, a ballroom, a number of lounges, and dining and recreation facilities for cadets and visitors.

There have been many actors and actresses, some starting their careers at Arthur Brough's Folkestone Repertory Company including Robert Arnold ; comedians including Michael Bentine ; and a large number of artists in various fields.

In this post he enhanced his reputation as a champion of new music, playing a number of new works, including Leoš Janáček's From the House of the Dead, Arnold Schönberg's Erwartung, Igor Stravinsky's Oedipus rex, and Paul Hindemith's Cardillac.

Rather than using a single tone row for an entire piece, as Anton Webern did, or using a number of related rows in one work, as Alban Berg or Arnold Schoenberg sometimes did, Barraqué starts by using one row, and then subtly alters it to get a second.

Under Hertzka, UE signed contracts with a number of important contemporary composers, including Béla Bartók and Frederick Delius in 1908 ; Gustav Mahler and Arnold Schoenberg in 1909 ( Mahler's Symphony No. 8 was the first work UE acquired an original copyright to ); Anton Webern and Alexander von Zemlinsky in 1910 ; Karol Szymanowski in 1912, and Leoš Janáček in 1917.

In " flashback " sequences, a number of actual Minstrel veterans, including Scatman Crothers, Freeman Davis ( aka " Brother Bones "), Ned Haverly, Phil Arnold, " endmen " Cotton Watts and Slim Williams, the dancing team of Boyce and Evans, and the comic duo Ches Davis and Emmett Miller, perform in the roles they popularized in Minstrel shows.

In 2010, Billboard listed Arnold at number 24 on its list of the Top 50 R & B and Hip Hop Artists of the past 25 years.

Arnold Schoenberg asks for the technique in a number of pieces: the part of the Speaker in Gurre-Lieder ( 1911 ) is written in his notation for sprechstimme, but it was Pierrot Lunaire ( 1912 ) where he used it throughout and left a note attempting to explain the technique.

The doctrine can be found in the work of psychotherapist Georg Groddeck assigning mental causes to physical ailments, has been more recently propagated by self-help authors such as Arnold Patent, and can be found in a number of New Age and new religious movements.

This made him senior to a number of officers, including Henry H. Arnold ( his superior at the time ), with greater longevity of service.

A number of composers wrote music specifically for her, including John Ireland, Béla Bartók, Ernest Bloch and E. J. Moeran, and particularly Sir Arnold Bax ( Cohen's lover ), who wrote most of his piano pieces for her.

UFO reports between " The Great Airship Wave " and the Arnold sighting were limited in number compared to the post-war period: notable cases include reports of " ghost fliers " in Europe and North America during the 1930s and the numerous reports of " ghost rockets " in Scandinavia ( mostly Sweden ) from May to December 1946.

Patriarch Heraclius of Jerusalem was sent to mediate in 1181, with Raynald of Châtillon, Raymond III of Tripoli, Arnold of Torroja, and Roger des Moulins, but Bohemond refused to acquiesce, and expelled the mediators as well as a number of his own nobles.

* In 1934 Arnold J. Toynbee dismissed the criticism of The Outline of History and praised Wells's work in his A Study of History: Mr. H. G. Wells ’ s The Outline of History was received with unmistakable hostility by a number of historical specialists.

He also did a number of characters in Tiny Toon Adventures, including " Fowlmouth ", " Arnold the Pit Bull ", and " Concord Condor ".

A number of prominent Western drug users have sought treatment for their addictions at Wat Tham Krabok, including British punk rock musician Pete Doherty, Irish rock music singer Christy Dignam of Aslan, American computer underground personality Patrick K. Kroupa and British singer songwriter Tim Arnold.

A number of core Green Acres characters, such as Fred and Doris Ziffel ( originally Fred's wife was named Ruthie )), Arnold the Pig, Newt Kiley, and Ben Miller, first appeared on Petticoat Junction in the 1964 – 1965 season, which saw a number of scripts written by Green Acres creator Jay Sommers.