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unusual facts about Vaughan's identity


Vinogradov's theorem

In 1977 R. C. Vaughan found a much simpler argument, based on what later became known as Vaughan's identity Vaughan's identity.


A Cambridge Mass

It is one of two large scale choral works with orchestral accompaniment by Vaughan Williams surviving from this period, the other being a cantata setting of Swinburnes' poem The Garden of Proserpine.

Abel's identity

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.

Act III Broadcasting

As for the religious station, it is now WBDT channel 26, a CW affiliate owned by Vaughan Media, LLC and managed by LIN Media as part of a de facto duopoly with that market's current NBC affiliate WDTN.

Adam Vaughan

Before becoming a journalist Adam Vaughan was a cartoonist for Books in Canada, Quill and Quire, Canadian Forum and several other publications.

Anthea Benton

Benton began her career as a Fashion Designer, and moved into directing in 1982 as half of the directing duo Vaughan and Anthea (with Vaughan Arnell).

Arky Vaughan

After leaving the Seals, Vaughan bought a ranch in Eagleville, California where he retired to fish, hunt and tend cattle.

Arthur Foxton Ferguson

The premiere of the Vaughan William's Two Vocal Duets ("The Last Invocation" and "The Bird's Love Song") in 1904, which were the composers' first settings of Walt Whitman, were sung by Foxton Ferguson and Beatrice Spencer who had also sung the premieres of two of the German duets together.

BaKardi Slang

Later on, he drives a Hummer through various Toronto neighbourhoods, including Regent Park, Oakwood-Vaughan, and Jane and Finch.

Benjamin Vaughan

Indirectly Vaughan Road is linked to him as the northern end of the road headed into then Township of Vaughan.

Vaughan was born in Jamaica to Samuel Vaughan, a British West India merchant planter, and an Anglo-American mother Sarah Hallowell.

Blair McCreadie

Leading up to the 2003 Ontario general election, McCreadie defended a party organizing session that included a prominent British Conservative MP Andrew Rosindell as key note speaker in Vaughan.

BR549

In October 2010 Raucous Records released Gary's follow up album "My Ol' Guitar" co-produced by Kenny Vaughan and including several Br549 re-recordings.

Brahmagupta's identity

The identity is a generalization of the so-called Fibonacci identity (where n=1) which is actually found in Diophantus' Arithmetica (III, 19).

Breakfast on Pluto

Pussy's politician lover in the novel becomes a glam rock musician played by Gavin Friday with whom Kitten may or may not have had a sexual relationship, and Pussy's lover Bertie Wooster becomes magician Bertie Vaughan (Stephen Rea), with whom Kitten has an unrequited flirtation.

Can-ar Coach Service

Can-ar used to operate a fleet of over 75 transit buses, owned by York Region Transit, under an extension of the contract under which it operated Vaughan Transitfor the City of Vaughan, Ontario.

Carreg Cennen Castle

Ownership of the castle passed to the Vaughan and Cawdor families, and from the 18th century it started to attract artists (Turner sketched the castle in 1798).

Charles Richard Vaughan

Vaughan was educated at Rugby School, where he entered on 22 January 1788, and at Merton College, Oxford, matriculating on 26 October 1791.

Derek Prince

Peter Derek Vaughan Prince (14 August 1915, Bangalore – 24 September 2003, Jerusalem) was an international Bible teacher whose daily radio programme Derek Prince Legacy Radio (presently hosted by author Stephen Mansfield) broadcasts to half the population of the world in various languages.

Edmund Fisher

His siblings included: H. A. L. Fisher, historian and Minister of Education; Admiral Sir William Wordsworth Fisher, Commander-in-Chief of the Mediterranean Fleet; Florence Henrietta, Lady Darwin, playwright and wife of Sir Francis Darwin (son of Charles Darwin); and Adeline Vaughan Williams, wife of English composer Ralph Vaughan Williams.

Eric Brady

In mid August, Kristian Alfonso posted a picture on Twitter of herself, Vaughan and a few co-stars, with Vaughan wearing a clerical collar which immediately led to speculation that the character of Eric had become a priest.

Five Variants of Dives and Lazarus

Vaughan Williams composed the work on commission from the British Council to be played at the 1939 World's Fair in New York City.

Hanna-Barbera in amusement parks

However, the attraction using the same name in the city of Doswell, Virginia and in Vaughan, Ontario, Canada was kept its name until 2010 when the Canadian version was renamed into simply Ghoster Coaster.

Hide Away

A version, with Vaughan's instrumental composition "Rude Mood", was performed at the Montreux Jazz Festival in July 1982 and is included on his Live at Montreux 1982 & 1985 album.

Ivan Vaughan

Ivan Vaughan (18 June 1942 - 16 August 1993) was a boyhood friend of John Lennon, and later schoolmate of Paul McCartney at the Liverpool Institute, both commencing school there in Sept. 1953.

Jack Reiter

They included Brigadier ‘Rudolf’ Vaughan, Lieutenant-Colonel John Combe (John Frederick Boyce Combe), Brigadier ‘Ted’ Todhunter, (Edward Joseph Todhunter), Captain Guy Ruggles-Brise (Guy E Ruggles-Brise) and Lieutenant, ‘Dan’ Ranfurly, (Thomas Daniel Knox, 6th Earl of Ranfurly).

Jimmie Vaughan

Vaughan was the third opening act for most of the dates of Bob Dylan's summer 2006 tour, preceded by Elana James and the Continental Two and Junior Brown.

John Edwards-Vaughan

Their daughter Jessie married his fellow MP at Wells, John Lee Lee and their son Vaughan Hanning Vaughan-Lee was sat as an MP after serving in the Crimean War.

John Frederick Boyce Combe

They included Brigadier ‘Rudolf’ Vaughan, Brigadier ‘Ted’ Todhunter, Captain Guy Ruggles-Brise and Lieutenant ‘Dan’ Ranfurly.

John Vaughan, 1st Viscount Lisburne

Vaughan married his first wife, Lady Malet Wilmot (d. 1709), daughter of John Wilmot, 2nd Earl of Rochester, on 18 August 1692.

Oakwood–Vaughan

Oakwood–Vaughan is a multicultural neighbourhood in the York district of Toronto, Ontario, Canada.

Paulito FG

Paulito stated that during Cuba's economic crisis of the mid-1990s, known as the Special Period, timba music provided an opportunity “to forget the shortages, the cutoff electricity, the bad transportation, to find refuge” (Vaughan 2012: 10).

Renews-Cappahayden

Its location was reported by William Vaughan as early as 1626 when it was noted on a map as Vaughan's Cove.

Robert S. de Ropp

The Vaughan Williamses paid for Robert’s further education at the Royal College of Science in South Kensington, where he eventually specialized in biology.

Roger Vaughan of Bredwardine

The 15th century Vaughan family, gentry of Bredwardine, Tretower and Hergest, were prominent in eastern Wales and the Herefordshire borderland.

Shirley Paget, Marchioness of Anglesey

Elizabeth Shirley Vaughan Morgan, Marchioness of Anglesey, DBE, LVO (born 4 December 1924, better known as Dame Shirley Paget) is a writer and the daughter of novelists Charles Langbridge Morgan and Hilda Vaughan.

Sir Robert Vaughan, 2nd Baronet

He was the eldest son of Sir Robert Howell Vaughan, 1st Baronet, of Hengwrt, Merionethshire and educated at Jesus College, Oxford (1787).

Six Strings Down

"Six Strings Down" is a song written by Art Neville, Eric Kolb, Aaron Neville, Cyril Neville, Kelsey Smith, and Jimmie Vaughan, and which first appeared on Jimmie Vaughan's album Strange Pleasure in 1995.

Such, Such Were the Joys

St Cyprian's was, according to him, a "world of force and fraud and secrecy," in which the young Orwell, a shy, sickly and unattractive boy surrounded by pupils from families much richer than his own, was "like a goldfish" thrown "into a tank full of pike." The piece fiercely attacks the cruelty and snobbery of both his fellow pupils and of his teachers (particularly the headmaster, Mr. Vaughan Wilkes, nicknamed "Sambo," and his wife Cicely, nicknamed "Flip").

The Bedford Estate

In 1669, the Bloomsbury Estate came into ownership of the Russell family when William, son of William Russell, 1st Duke and 5th Earl of Bedford (1616–1700), married Lady Rachel Vaughan, one of the daughters of Thomas Wriothesley, 4th Earl of Southampton (1607–1667).

The Essential Stevie Ray Vaughan and Double Trouble

#"Rude Mood/Hide Away" (live) (Vaughan, Freddie King, Sonny Thompson) – 4:58 (released on Live at Montreux 1982 & 1985)

The Essential Stevie Ray Vaughan and Double Trouble is a compilation album of material by Stevie Ray Vaughan & Double Trouble released in 2002 (see 2002 in music).

Three Shakespeare Songs

In 1951 the British Federation of Music Festivals (of which Vaughan Williams was president) held its annual National Competitive Festival during the Festival of Britain.

Tony Vaughan

Vaughan resided in Nottingham after his career came to an end, but now works for Audi in the company's sale room in Lincoln.

Vaughan Johnson

Vaughan Monroe Johnson (born March 24, 1962 in Morehead City, North Carolina) is a retired American football linebacker.

Vaughan Promontory

Vaughan Promontory is a high, rugged ice-covered promontory which extends eastward from Holland Range between Ekblad and Morton Glaciers.

Victoria Mironova

Presently, she is the Founder, Artistic Director, Teacher and Choreographer of the Victoria International Ballet Academy in GTA (Greater Toronto Area), Vaughan, Ontario, Canada.

Welsh Bicknor

However, in 1651 Richard Vaughan, who was a Catholic, had his land sequestered and given to Phillip Nicholas of Llansoy, in Monmouthshire.

Richard Vaughan died in Barcelona in 1795 but his son William eventually returned to Wales and obtained a restoration of the main portion of his estates, as heir to his uncle.


see also