Cousin's theorem states that for every gauge , such a -fine partition P does exist, so this condition cannot be satisfied vacuously.
Liouville's theorem | cousin | Chinese remainder theorem | Victor Cousin | Cousin Island | Shannon–Hartley theorem | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | My Cousin Vinny | Hahn–Banach theorem | Fermat's Last Theorem | Cousin Joe | Buckingham π theorem | Thue–Siegel–Roth theorem | Szemerédi's theorem | Schottky's theorem | Riemann-Roch theorem | Pythagorean theorem | Our American Cousin | Nash embedding theorem | Müntz–Szász theorem | Mark Cousin's | Malgrange–Ehrenpreis theorem | Kleene fixed-point theorem | Kakutani fixed-point theorem | Gauss–Bonnet theorem | First Cousin Once Removed | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Denjoy theorem |
Among his devoted apprentices were Rockwell Kent, Louis Agassiz Fuertes, Richard Meryman, Barry Faulkner (Thayer's cousin), Alexander and William James (the sons of Harvard philosopher William James), and Thayer's own son and daughter, Gerald and Gladys.
It passed down through Parker family from father to son via Thomas, Robert (1720–1758), Thomas (1754–1819), a Justice of the Peace (J.P.) and Deputy Lieutenant {D.L.} of Lancashire, to Thomas Parker (died 1832), an Army captain, J.P. and D.L. who also bought Browsholme Hall from his cousin.
At thirteen, he joined the Navy as a seaman, encouraged by his cousin, Beaulieu-Leloup, commander of the frigate Forte ("the Stout one").
On 15 June 1651, at Copenhagen, she married her first cousin Ernest Günther (14 October 1609 – 18 January 1689), son of Duke Alexander of Schleswig-Holstein-Sonderburg and his wife Countess Dorothea of Schwarzburg-Sondershausen.
His cousin, the fifth Baron, was a prominent convert to Islam.
His father had appointed three regents for him—his distant cousin Cao Zhen, the steady administrator Chen Qun, and the shrewd strategist Sima Yi.
Skeeter (performed by Drew Massey, voiced by Bill Bellamy) - Skeeter is a puppet whose life changed when he moved from Atlanta, Georgia to New York City to live with his cousin Bobby.
He killed his cousin Sir Walter Lindsay of Balgavie, son of David Lindsay, 9th Earl of Crawford, and narrowly escaped being killed in turn by the murdered man's nephew
Pontus De la Gardie's second son, Jacob De la Gardie, was given the title count of Läckö in 1615 and his son Magnus Gabriel De la Gardie became favourite of Queen Kristina and married her cousin, Countess Palatine Maria Eufrosyne of Zweibrücken (sister to Charles X Gustav of Sweden).
Dionizy, through his mother, was a cousin of the Polish composer Frédéric Chopin; the two shared a grandfather, Jakub Krzyżanowski.
Edward of Norwich, Earl of Rutland, the first son of Edmund of Langley, 1st Duke of York, fifth son of Edward III of England, favorite of his cousin Richard II, had been created Earl of Cork in the Peerage of Ireland during his nephew's personal reign.
Friedrich Wilhelm was married on 28 June 1843 at Buckingham Palace to his first cousin, Princess Augusta of Cambridge, a member of the British Royal Family and a granddaughter of King George III.
After a few years, she opened her own salon where distinguished society, such as Baron and Baronness Alphonse de Rothschild, Comtesse Potocka, Duchesse de Richelieu, Comtesse de Chevigné, née de Sade (another model for the Duchesse de Guermantes), etc. could meet with writers and intellectuals such as Guy de Maupassant, Henri Meilhac, Georges de Porto-Riche, Paul Bourget, Paul Hervieu, Joseph Reinach, and of course her cousin Ludovic.
Jackson's brother Geoffrey Jackson and cousin, Anthony Jackson, also played cricket for Derbyshire.
The most well-known exports of Haitian hip hop are two members of the legendary Grammy Award-winning hip hop group, the Fugees, Wyclef Jean and his cousin Pras Michel (a.k.a. Pras).
Hilbert's basis theorem, in commutative algebra, stating every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated
Gündoğan's cousin Naz Aydemir is a volleyball player for Vakıfbank and the Turkish women's national team.
The current king, Bhumibol Adulyadej is a first-cousin once removed of his wife, Sirikit, the two being respectively a grandson and a great-granddaughter of Chulalongkorn.
Robinson is a sixth cousin once removed of British Prime Minister Winston Churchill, and is an ancestor (maternal great grandfather) of President George W. Bush.
He served under his father and then his cousin Arthur Balfour as Parliamentary Under-Secretary of State for Foreign Affairs from 1900 to 1903 and under Balfour as Lord Privy Seal from 1903 to 1905 and as President of the Board of Trade in 1905.
Skim (2008) is a collaboration between illustrator Jillian Tamaki and her cousin, writer Mariko Tamaki.
The son of Christoph von Blumenthal and his wife Dorothea von Hacke, and the first cousin of General von Königsmarck, he was educated privately by the family tutor Johannes Crüger from the age of 10, and then attended the Viadrina from 1622, at the age of 15.
Sir Joseph-Mathias Tellier is the brother of Louis Tellier, the father of Maurice Tellier, the grandfather of Paul Tellier, and a first cousin of Raymond Tellier, who is the grandfather of Luc-Normand Tellier.
Her role on the show as the naive cousin of Carolee Aldrich (Jada Rowland) and nurse Mary Jane "MJ" Match Carroll was replaced by Amy Ingersoll.
The band consisted of David Milhous (drums and background vocals), his cousin Mark Bollinger (vocals and lead guitar), James Ross (keyboards), and Rob Salter (Bass).
Her cousin Gilbert, Count of Gravina, already present in the south, was an enemy of Peter's and, according to Hugo Falcandus, strongly opposed to his cousin's government.
Only a few days after the closure of the congress, on June 28, 1914 Archduke Franz Ferdinand, Austria-Hungary's crownprince and his wife Sophie (Marie Henrieta's cousin) were Assassination of Archduke Franz Ferdinand of Austria in Saraevo.
In the episode "The Prodigy", David Stollery, later of Walt Disney's serial, The Adventures of Spin and Marty (in the role of Marty), appears as Peggy's cousin who enrolls at Comstock as a pre-teen.
For example, the first version of Montel's theorem stated above is the analog of Liouville's theorem, while the second version corresponds to Picard's theorem.
He came from a footballing family: his brother Sam played for and captained England, a cousin, Billy Felton, also played for England, and three other brothers Tommy, James and Harry were professional footballers.
He learned that Prussia and Austria were waning in their support of Sweden's claims to Norway, that Tsar Alexander I of Russia (a distant cousin of Christian Frederik's) favored a Swedish-Norwegian union but not with Bernadotte as the king, and that the United Kingdom was looking for a solution to the problem that would keep Norway out of Russia's influence.
Hornby's sister Charlotte Margaret later married her cousin Edward Smith-Stanley, 13th Earl of Derby, and the close association between the Earls of Derby and the Hornby family would play a significant role in Phipps Hornby's career and politics.
His cousin Krystian is a German international rugby union player, playing for the Berliner RC in the Rugby-Bundesliga.
Tuditanus, descended from a prominent branch of the plebeian gens Sempronia, may have been a nephew or cousin of the censor Marcus Sempronius C.f. Tuditanus who had been consul in 240 BC with Gaius Claudius Centho and censor in 230 BC with Quintus Fabius Maximus).
Then, for any sets U and V, by the Chinese remainder theorem, the numbers that are quadratic resides modulo every prime in U and nonresidues modulo every prime in V form a periodic sequence, so by Dirichlet's theorem on primes in arithmetic progressions this number-theoretic graph has the extension property.
The Colonel Sawai Maharaj Sahib Shri Deshpal Singh Ju Deo of Ajaigarh cousin of H.H. Sawai Maharaja Punya Pratap Singh Sahib Bahadur of Ajaigarh is passed out from the same and was classmate of Padma Bhushan, General GG Bewoor, General Nayazi (Pakistan), General Bahadur.
Brauer's theorem on the representability of zero by forms over certain fields in sufficiently many variables
Richard Douglas "Rick" Hurst (born January 1, 1946) an American actor who portrayed Deputy Cletus Hogg, Boss Hogg's cousin, in the 1980 to 1983 seasons of The Dukes of Hazzard and most recent The Dukes of Hazzard Reunion in 1997 and Hazzard in Hollywood in 2000.
In July 1914, he was in attendance with other figures of the Levee including John Torrio (representing Jim Colosimo), John Jordan, Jackie Adler and Harry Hopkins at Port Lamp Burke's roadhouse near Cedar Creek (Indiana) several hours after gunman Roxie Vanilli, a cousin of Torrio whom he had brought in from New York, had shot and killed Chicago detective Sgt. Stanley Birns.
For example, if two cousins who have identical names (i.e. John Smith and his cousin John Smith) have children, it is far more convenient to describe the children by the names of their respective mothers, so as not to confuse the families.
In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic space complexity.
In 2005, Stacey becomes heavily involved in the murder of Den Watts (Leslie Grantham) when she gives her cousin Zoe Slater (Michelle Ryan) a false alibi for his murder, landing an innocent Sam Mitchell (Kim Medcalf) in prison.
He moved to Portugal as a crusader, having fought the Moors alongside "his cousin" king Afonso IV of Portugal at the battle of Salado, as mentioned in Duarte Nunes de Leão's Chronicles of the Kings of Portugal.
The film bears a resemblance to The Prisoner of Zenda with Dexter playing a dual role of a rogue exile who impersonates a King in danger of being overthrown by his cousin played by Anthony Quinn.
Gaspare "Aspanu" Pisciotta – The childhood friend and cousin of Salvatore Guiliano.
He is not particularly kind to his cousin Fanny Price, the poor ward of his parents who has come to live with his family.
Tiberius Julius Caesar Nero Gemellus, known as Tiberius Gemellus (10 October AD 19–AD 37 or 38) was the son of Drusus and Livilla, the grandson of the Emperor Tiberius, and the cousin of the Emperor Caligula.
TK arrived to the hospital in 2006 to greet his cousin Huia (Nicola Kawana) and the immature doctor quickly gained a job in the Emergency Department much to the annoyance of Sarah Potts (Amanda Billing).
John Baptiste Ford was W.C. De Pauw's first cousin and one time business partner.
Born February 21, 1974, Wish Bone is the cousin of Steven "Layzie Bone" Howse and younger cousin of Stanley "Flesh-n-Bone" Howse.