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Ronald Graham

Ronald Lewis "Ron" Graham is an American mathematician credited by the American Mathematical Society as being "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years". He has done important work in scheduling theory, computational geometry, Ramsey theory, quasi-randomness, he is the Chief Scientist at the California Institute for Telecommunications and Information Technology and the Irwin and Joan Jacobs Professor in Computer Science and Engineering at the University of California, San Diego. Graham was born in California. In 1962, he received his Ph. D. in mathematics from the University of California and began working at Bell Labs and AT&T Labs. He was director of information sciences in AT&T Labs, but retired from AT&T in 1999 after 37 years, his 1977 paper considered a problem in Ramsey theory, gave a large number as an upper bound for its solution. This number has since become well known as the largest number used in a mathematical proof, is now known as Graham's number, although it has since been surpassed by larger numbers such as TREE.

Graham popularized the concept of the Erdős number, named after the prolific Hungarian mathematician Paul Erdős. A scientist's Erdős number is the minimum number of coauthored publications away from a publication with Erdős. Graham's Erdős number is 1, he co-authored 30 papers with Erdős, was a good friend. Erdős stayed with Graham, allowed him to look after his mathematical papers and his income. Graham and Erdős visited the young mathematician Jon Folkman when he was hospitalized with brain cancer. Between 1993 and 1994 Graham served as the president of the American Mathematical Society. Graham was featured in Ripley's Believe It or Not for being not only "one of the world's foremost mathematicians", but "a skilled trampolinist and juggler", past president of the International Jugglers' Association, he has published about 320 papers and five books, including Concrete Mathematics with Donald Knuth and Oren Patashnik. He is married to Fan Chung Graham, the Akamai Professor in Internet Mathematics at the University of California, San Diego.

In 2003, Graham won the American Mathematical Society's annual Steele Prize for Lifetime Achievement. The prize was awarded on January 16 that year, at the Joint Mathematics Meetings in Baltimore, Maryland. In 1999 he was inducted as a Fellow of the Association for Computing Machinery. Graham has won many other prizes over the years; the Mathematical Association of America has awarded him both the Lester R. Ford prize, "...established in 1964 to recognize authors of articles of expository excellence published in The American Mathematical Monthly...", the Carl Allendoerfer prize, established in 1976 for the same reasons, however for a different magazine, the Mathematics Magazine. In 2012 he became a fellow of the American Mathematical Society. With Paul Erdős: Old and new results in combinatorial number theory. L’Enseignement Mathématique, 1980 with Fan Chung: Erdős on Graphs, his legacy of unsolved problems. A. K. Peters, 1998 with Jaroslav Nešetřil: The mathematics of Paul Erdős. 2 vols. Springer, 1997 Rudiments of Ramsey Theory.

American Mathematical Society, 1981 with Donald E. Knuth & Oren Patashnik: Concrete Mathematics: a foundation for computer science. Addison-Wesley, 1989. Spencer & Bruce L. Rothschild: Ramsey Theory. Wiley, 1980. MIT Press, 1995 with Persi Diaconis: Magical Mathematics: the mathematical ideas that animate great magic tricks. Princeton University Press, 2011 Rudiments of Ramsey Theory, Second Edition, American Math Society, Coffman–Graham algorithm Erdős–Graham problem Graham scan Biggest little polygon Boolean Pythagorean triples problem Graham's UCSD Faculty Research Profile Papers of Ron Graham – a comprehensive archive of the papers written by Ron Graham About Ron Graham – a page summarizing some aspects of Graham's life and mathematics – part of Fan Chung's website "Math expert coolly juggles scientific puzzles and six or seven balls" – a article on Graham, by Bruce V. Bigelow, dated March 18, 2003 AMS news release telling of Graham's winning of the 2003 Steele Prize Ronald Graham at the Mathematics Genealogy Project MAA presidents: Ronald Lewis Graham

Père Jean Marie Delavay

Père Jean-Marie Delavay was a French missionary and botanist. He was the first Western explorer of the region, now encompassed by the Three Parallel Rivers of Yunnan Protected Areas. Delavay was born in Les Gets, Haute-Savoie, in 1834; as a missionary for Missions Etrangères de Paris he was sent to China in 1867, serving first in Guangdong moving to north-western Yunnan. While in France in 1881, on a break from his duties, Delavay met the natural history collector and fellow missionary Père Armand David, who had made his final collecting expedition in China in the 1870s. David encouraged Delavay to continue his collecting work and send specimens to the Paris Museum of Natural History. In 1888 he contracted bubonic plague; this did not stop his explorations, however he travelled to Hong Kong to recuperate, collecting plants all the way. By 1891 it was clear that a more drastic cure was needed, so Delavay returned to France in hopes of gaining a full recovery. Unable to stay away, he returned to China in 1893 and continued his collections, adding another 1550 plants to his impressive total, but in 1895 he succumbed to his illness, died in Yunnan province aged 61.

Delavay was an avid plant collector, sending over 200,000 herbarium specimens back to France, from which numerous new genera and over 1,500 new species were described, many by Adrien René Franchet of the Paris Muséum national d'Histoire naturelle. Delavay is commemorated in the names of several plants, including Delavay's Fir Abies delavayi, Delavay's Magnolia Magnolia delavayi and Delavay's Peony Paeonia delavayi

East Midlands Ambulance Service

East Midlands Ambulance Service National Health Service Trust provides emergency 999, urgent care and patient transport services for the 4.8 million people within the East Midlands region of the UK - covering Nottinghamshire, Leicestershire, Rutland and Northamptonshire. In 2016/17 EMAS received over 938,837 emergency 999 calls with ambulance clinicians dispatched to 653,215 incidents. EMAS employs about 3,290 staff at more than 70 locations, including two control rooms at Nottingham and Lincoln - the largest staff group are those who provide accident and emergency responses to 999 calls. In 2013 EMAS took on 140 new emergency care assistants. In 2014 EMAS announced. In 2010 − 11 EMAS missed key performance targets after a cold spell brought ice. By June 2015 EMAS had failed to meet their category 1 response times for the fifth successive year. In December 2019 ambulance staff spent 13,057 hours waiting at hospitals for the pre-handover of patients, more than double the time spend in December 2018.

EMAS provided patient transport services until contracts worth £20 million per year were taken over in 2012 by two private sector companies. In 2012−13 EMAS had a budget of £148 million; the Trust spent £4.3 million on voluntary and private ambulance services in 2013−14 for support in busy periods. In 2015 the service faced a drop in funding of around £6 million a year. In October 2014 the Trust decided to spend £88,000 on upgrading its computer equipment. In 2018 the trust said it would need an extra £20 million a year to meet the new ambulance performance standards. Emergency medical services in the United Kingdom Official website

Karl Brazil

Karl Peter Brazil is an English session drummer. He is best known as the drummer for the British indie rock band Feeder, replacing the band's previous drummer Mark Richardson, he works with other pop and rock artists, both on tour and in the studio. Brazil was raised in a musical family, was influenced by them at a young age. Born in Solihull, he is a dedicated supporter of Birmingham City F. C.. Brazil uses Gretsch drums, Sabian cymbals,Roland electronic drums, Remo drumheads, DW hardware LP percussion and Vic Firth drumsticks; some Kind of Trouble - James Blunt Renegades - FeederAll Bright Electric - Feeder Official website

Greenford branch line

The Greenford branch line is a 2 miles 40 chains Network Rail suburban railway line in west London, England. It runs northerly from a triangular junction with the Great Western Main Line west of West Ealing to a central bay platform at Greenford station, where it has cross-platform interchanges to the London Underground's Central line. A triangular junction near Greenford connects to the Acton–Northolt line; the line serves the suburbs of Ealing and Greenford. The opening of the line in 1903 coincided with the opening of a station at Park Royal on the Acton–Northolt line to serve the Royal Agricultural Show held in the grounds of part of the Twyford Abbey Estate; the Show ran from 15 June 1903 to 4 July 1903 during which period trains operated a circular service to and from Paddington via Park Royal and Ealing. Normal services started on 2 May 1904 and the links to Greenford station were put in on 1 October 1904; the loop formed by the GWML, the branch and the ANL is sometimes used for turning trains for operational reasons such as balancing wheel wear.

On weekends in 2008 during engineering works on the West Coast Main Line the line was used by Virgin Trains' Euston-Birmingham International "Blockade Buster" service which ran to Euston via Willesden, Acton Main Line, Ealing Broadway, High Wycombe and Coventry using pairs of 5-car Voyager sets. On two Sundays in February 2010, Chiltern and Wrexham & Shropshire trains were diverted to Paddington via the line while engineering work blocked the route to Marylebone. Locally the service is called the'Push-and-pull', a term which dates from the days of steam, when the engine could not change ends at Greenford and so the locomotive pulled the carriages one way and pushed them on the return run. In the 1950s the service ran with two auto-trailers, one either side of the engine. During the 1960s and'70s the service was operated by a Class 121'Bubble Car' two-carriage diesel railcar, although this was reduced to a single carriage; as Drayton Green, Castle Bar Park and South Greenford have short platforms the maximum length of train that can be used is two cars.

In preparation for Crossrail, a new platform 5 has been constructed at West Ealing, all services have been diverted to terminate there. The passenger service is provided by Great Western Railway. Trains from the branch terminate at West Ealing, except for one service from Paddington at the start of the day, to Paddington at the end of the day. There is a parliamentary service operated by Chiltern Railways from 10 December 2018 that - during the weekday - starts from South Ruislip and non-stops through to West Ealing and returns to High Wycombe. All services are operated with two-car Class 165 Turbo diesel trains. There is no Sunday service; these are statistics of passenger usage on the National Rail network along the Greenford branch line from the year beginning April 2002 to the year beginning April 2011. At Greenford: London Underground Central line, At West Ealing: GWR local services and TFL Rail to Heathrow Airport

Les Strayhorn

Les Strayhorn is a former professional American football running back in the National Football League for the Dallas Cowboys. He played in the Canadian Football League for the Hamilton Tiger-Cats and Montreal Alouettes, he played college football at East Carolina University. Strayhorn attended Jones High School in North Carolina, he accepted a scholarship from East Carolina University. Although he was hampered by a severe shoulder injury early in his college career, he was able to overcome it and be three-year starter at running back, he finished his college career with 373 carries for 1,673 yards, a 4.5-yard average and 8 touchdowns. Strayhorn was selected by the Dallas Cowboys in the seventeenth round of the 1973 NFL Draft. In 1974, he was a backup at fullback, he played 2 seasons, while suiting up for 24 games, rushing for 128 yards with a 5.8-yard average and one touchdown. He was waived on September 9, 1975. In 1975, he was signed by the Hamilton Tiger-Cats of the Canadian Football League, he played 2 seasons, rushing for one touchdown.

On August 6, 1976, he was released to make room for running back Jimmy De Ratt. In 1976, he was signed by the Montreal Alouettes based on a recommendation from Tom Landry, who at the time were coached by future hall of famer Marv Levy. On July 5, 1977, he tore ligaments in his left knee and was lost for the season, still, he was a part of the Grey Cup championship team. After football, he worked in the New Hanover County Department of Social Services, his brother Ken played football at East Carolina University. Professional career stats College career stats