Jerrum, Valiant, and Vazirani showed that every #P-complete problem either has an FPRAS, or is essentially impossible to approximate; if there is any polynomial-time algorithm which consistently produces an approximation of a #P-complete problem which is within a polynomial ratio in the size of the input of the exact answer, then that algorithm can be used to construct an FPRAS.
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These major changes included a completely new Scout Handbook, complete revision for Boy Scout rank advancement requirements, addition of "skill awards", and multiple uniform options (including the introduction of the visor cap and beret).
1999 Stefan Chwin for his complete works, especially for the novel Tod in Danzig Death in Danzig
He is noted in particular for singing all of the bass parts in the complete Bach church cantatas cycle for Brilliant Classics, as well as Bach's St Matthew Passion and St John Passion.
Davies was reinstated to the university the next school year, and returned to the basketball team, where he is scheduled to complete his athletic eligibility in 2013.
Chappe et Gessalin (CG) was a French automobile maker founded in 1946 which commenced manufacturing complete cars in Brie-Comte-Robert, Seine-et Marne in 1957.
"Check on It" is an R&B and hip hop song, which is instrumentally complete with a heavy bassline, strings, and wind instrument.
A new sports complex, complete with dance studio, weights room and gymnasium, changing rooms and a large main sports hall, was officially opened on 10 October 2001 by Princess Alexandra.
While classical styles reigned in the parade rooms, upscale houses, from Badminton House (where the "Chinese Bedroom" was furnished by William and John Linnell, ca 1754) and Nostell Priory to Casa Loma in Toronto, sometimes feature an entire guest room decorated in the chinoiserie style, complete with Chinese-styled bed, phoenix-themed wallpaper, and china.
(For instance, the Complete Works published by the Arden company is often referred to as the Arden Shakespeare, and the edition produced by Yale University called the Yale Shakespeare.)
David accepted an offer to complete high school at the Los Angeles County High School for the Arts where he took early classes in Computer graphics and became the youngest Graphics editor of the Association for Computing Machinery.
Notable among his many appearances was his performance of Johann Sebastian Bach's complete Well Tempered Clavier in Munich, Vienna, Salzburg, and Klagenfurt.
The Og, a tributary of the River Kennet (itself a tributary of the Thames), flows for about half of the year down the centre of the hamlet forcing the road into a sharp hairpin bend.
Sir Richard David Muir, prosecuting, showed that the claims about the King were a complete fiction.
It is the most complete compilation from the band, including extra tracks "Strong Strong Wind", and "The Way I Feel", plus containing songs from Russell Hitchcock's solo album and live album Now and Forever...Greatest Hits Live.
After the war he returned to Italy to complete his studies in engineering at the University of Turin.
Geordie Sharp is a fictional character featured in a series of military novels written by Chris Ryan.
Indeed, Sidney Colvin originally wished to complete the biography, but disputes with Fanny led him to drop the project.
Rear Admiral Albert C. Read (1887–1967), Commander/Navigator of the NC-4, the first aircraft to complete a transatlantic flight in 1919
The first, The Complete Book of PAN, is a guide to the card game of the same name.
Booksellers and publishers Blackwood and Janet Paul Ltd. had, by the mid 1960s, overtaken Caxton as New Zealand’s leading publishers of poetry, and in 1968 Janet had published Glover’s Sharp Edge Up: Verses and Satires.
One reason for the discrepancy in numbers was (in sharp contrast to the United States) the Imperial Japanese Navy's lack of insistence that its carrier planes have the smallest possible folded wingspan (many designs' folded only near the tips, while the wings of the Yokosuka D4Y Suisei dive-bomber did not fold at all).
#Sat-Sandarbhas (Six Sandarbhas): According to Jiva Goswami himself, Gopala Bhatta Goswami had already done the preliminary work on these books but could not complete it.
A complete list of the works of Joseph will be found in his life by Bernays.
Drafted by the Chicago White Sox in the 3rd round of the 2002 Major League Baseball Draft out of Louisburg College, Rupe was acquired by the Texas Rangers along with Frank Francisco and minor leaguer Anthony Webster to complete an earlier trade for Carl Everett in July 2003.
A sharp language border is found between the villages Säivis and Sangis, where the latter traditionally uses the Kalix language.
LIBT students complete a one or two-year university transfer programme and, subject to meeting the required progression criteria, transfer into the second year of Brunel University’s three-year undergraduate BSc degree programmes in Business & Management, Information Systems & Computing and Economics & Finance.
Laszewski is a former head coach of the Saint Louis Bombers in the Rugby Super League, and was the first American coach to complete the International Rugby Board's Level 3 certification program.
He was born in Sandnes in the county of Rogaland in 1921 and began studying for a degree in philology at the University of Oslo but his studies were interrupted by the Second World War and he only managed to complete his degree in 1947.
Born in Palmeira d'Oeste, Brazil to a second generation Japanese-Brazilian father and Italian-Brazilian mother, Tulio moved to Japan at age 15 to complete his high school studies.
:Previously a MVNO now complete subsidiary of Sprint Corporation, Virgin Mobile USA provides prepaid wireless service using Sprint's CDMA, WiMAX, and 4G LTE networks.
The current version of the game allows the player to compete in two adventures aimed at mining the lunar Regolith to find minerals, build additional mining robots, and complete adventures for other characters.
It is volume 33 of the "Mosaic Select" series and includes the complete contents of the previously released RCA / Victor recordings, Kogun (1974), Long Yellow Road (1975), Tales of a Courtesan (Oirantan) (1976), Insights (1976), and March of the Tadpoles (1977).
Sean McCormack, a National Security Council spokesman, stated "She was in the middle of making a point and Blitzer interrupted her, and she reflexively repeated 'on background,' but she was not confirming it and went on to complete her thought."
He has also contributed to Complete Remodeling and Complete Landscaping, both published in 2004 by This Old House Books in conjunction with Sunset Books.
In a self-paced class, students complete coursework through Calvert, Lincoln Interactive and Little Lincoln.
After working in now independent Namibia for four years he returned to the UK to complete the LL.M from University of Warwick in 1996.
In 1843 he returned to Ireland to complete his education, and entered Trinity College, Dublin.
During the course of the adventure the player will need to make decisions (such as choosing whether to save Nightcrawler or Jean Grey) or complete certain tasks (like stopping a group of mutated soldiers from destroying a computer that holds research on the Legacy Virus).
With the actor Michael Gough she also gave the first complete performance in London of Liszt's dramatic recitations.
It is a scholarly study of the work of the ancient Roman playwright Titus Maccius Plautus whose "twenty complete comedies constitute the largest extant corpus of classical dramatic literature" (p. 1)
Becoming known for its Robot Chicken like fan-based humor, sharp editing, and recreation of Hollywood effects with minimal to no budget, it has grown a loyal following of over a quarter million viewers a month.
When asked about claims of plagiarism, he vehemently refuted the charge and said the accusers are jealous people who didn't have sharp, instantaneous composing skills like he had and therefore are doing all they can to discredit him.
The original inspiration for Square occurred to Jack Dorsey in 2009 when James McKelvey (a St. Louis friend of Dorsey at the time) was unable to complete a $2,000 sale of his glass faucets and fittings because he could not accept credit cards.
She was appointed to the Public Service Commission in 1993 by Governor Ed Schafer to complete the term by Dale V. Sandstrom, who resigned.
Unfinished Tales contains the start of a more mature and complete narrative, which Tolkien began after finishing The Lord of the Rings in the 1950s.
The Democrats had gained complete control of Florida's congressional delegation in 1878, although the results of the election in the 2nd district were successfully challenged, so that a single Republican represented Florida in the House for the last two months of the 46th Congress.
The rebels were at first defeated at Cotagaita on 27 October and at Tupiza on 29 October, but collected their forces, and at Suipacha on 7 November they gained a complete victory, the royalist governor and the two royalist generals being made prisoners.
He has recorded the complete orchestral repertoire of Paul Hindemith, Erich Wolfgang Korngold, Hans Pfitzner, and Benjamin Frankel.
" Later Ugás beat Russian Khabib Allakhverdiyev and in the final he outfought Romal Amanov from Azerbaidjan. Cubanet.org writes "Yordenis Ugas, a sharp, technically accomplished fighter but with a suspect jaw, won the lightweight gold for Cuba after an explosive toe-to-toe clash with Romal Amanov of Azerbaijan.
While collecting fossils in the Clarno Formation of Oregon during 1941, noted paleobotanists Alonzo W. Hancock and Chester A. Arnold recovered the most complete Zygolophodon skull known at the time.