To prove this, one can combine a proof of the theorem for finite planar graphs with the De Bruijn – Erdős theorem stating that, if every finite subgraph of an infinite graph is k-colorable, then the whole graph is also k-colorable.

Enumerative graph theory then rose from the results of Cayley and the fundamental results published by Pólya between 1935 and 1937 and the generalization of these by De Bruijn in 1959.

De Bruijn showed that Penrose tilings can be viewed as two-dimensional slices of five-dimensional hypercubic structures.

De Bruijn showed in 1950 that H has only real zeros if λ ≥ 1 / 2, and moreover, that if H has only real zeros for some λ, H also has only real zeros if λ is replaced by any larger value.

They also include statements less obviously related to compactness, such as the De Bruijn – Erdős theorem stating that every minimal k-chromatic graph is finite, and the Curtis – Hedlund – Lyndon theorem providing a topological characterization of cellular automata.

* Bruijn, J. R., Prud ' homme van Reine, R., and Van Hövell tot Westerflier, R., De Ruyter, Dutch Admiral, Karwansaray Publishers, Rotterdam, 2011

Before that, it was called the philander (“ friend of man ”), which is the name it bears in the second volume of Cornelis de Bruijn's Travels, originally published in 1711 ; the Latin name of this species is called after De Bruijn.

* G is finite ( this is the De Bruijn – Erdős theorem of ).

Therefore, by the De Bruijn – Erdős theorem, P itself also has a w-colorable incomparability graph, and thus has the desired partition into chains.

The manufacturer won the European Formula A championship in 2000 with Lewis Hamilton, in 2001 with Carlo Van Dam and in 2004 with Nick De Bruijn.

Before that Carlo Van Dam and Nick De Bruijn ( both Dutch ) won the European Formula A Championship in 2001 and 2004 respectively.

* Tamias atsali De Bruijn, 1995 – Pliocene of Greece

* Tamias eviensis De Bruijn et al., 1980 – Miocene of Greece

A diagram showing the De Bruijn sequence where k = 2 and n = 2

In combinatorial mathematics, a k-ary De Bruijn sequence B ( k, n ) of order n, named after the Dutch mathematician Nicolaas Govert de Bruijn, is a cyclic sequence of a given alphabet A with size k for which every possible subsequence of length n in A appears as a sequence of consecutive characters exactly once.

There are distinct De Bruijn sequences B ( k, n ).

According to De Bruijn himself, the existence of De Bruijn sequences for each order together with the above properties were first proved, for the case of alphabets with two elements, by Camille Flye Sainte-Marie in 1894, whereas the generalization to larger alphabets is originally due to Tanja van Ardenne-Ehrenfest and himself.

The earliest known example of the De Bruijn sequence comes in Sanskrit prosody.

# REDIRECT De Bruijn sequence

* 1979 – Jordan De Jong, American baseball player

* Augustine, De civitate dei xviii. 8 – 9

* Weigel, Richard D., " Antoninus Pius ( A. D. 138 – 161 )", De Imperatoribus Romanis

* 1919 – Dino De Laurentiis, Italian actor and producer ( d. 2010 )

* Hexameron, De paradiso, De Cain, De Noe, De Abraham, De Isaac, De bono mortis – ed.

* De Iacob, De Ioseph, De patriarchis, De fuga saeculi, De interpellatione Iob et David, De apologia prophetae David, De Helia, De Nabuthae, De Tobia – ed.

* Explanatio symboli, De sacramentis, De mysteriis, De paenitentia, De excessu fratris Satyri, De obitu Valentiniani, De obitu Theodosii – ed.

Changing the title of the screenplay to La Dolce Vita, Fellini soon clashed with his producer on casting: the director insisted on the relatively unknown Mastroianni while De Laurentiis wanted Paul Newman as a hedge on his investment.

Among Loren's best-known films of this period are Samuel Bronston's epic production of El Cid ( 1961 ) with Charlton Heston, The Millionairess ( 1960 ) with Peter Sellers, It Started in Naples ( 1960 ) with Clark Gable, Vittorio De Sica's triptych Yesterday, Today, and Tomorrow ( 1963 ) with Marcello Mastroianni, Peter Ustinov's Lady L ( 1965 ) with Paul Newman, the 1966 classic Arabesque with Gregory Peck, and Charlie Chaplin's final film, A Countess from Hong Kong ( 1967 ) with Marlon Brando.

Strasberg's students included many of America's most famous actors of the latter half of the 20th century, including Paul Newman, Al Pacino, James Dean, Dustin Hoffman, Marilyn Monroe, Robert De Niro, Jane Fonda, Jack Nicholson, Mickey Rourke, and many others.

* De errore profanarum religionum, translated by Clarence A. Forbes as The Error of the Pagan Religions, Newman Press, 1970.

The first generation of abstract expressionists included Jackson Pollock, Willem De Kooning, Mark Rothko, Franz Kline, Arshile Gorky, Robert Motherwell, Clyfford Still, Barnett Newman, Adolph Gottlieb, Phillip Guston, Ad Reinhardt, James Brooks, Richard Pousette-Dart, William Baziotes, Mark Tobey, Bradley Walker Tomlin, Theodoros Stamos, Jack Tworkov David Smith, and Hans Hofmann, among others.

From his base in New York, he trained several generations of theatre and film's most illustrious talents, including Anne Bancroft, Dustin Hoffman, Montgomery Clift, James Dean, Marilyn Monroe, Julie Harris, Paul Newman, Al Pacino, Robert De Niro and director Elia Kazan.

* Animation: Barry Hales, Simon ( Jiminy ) Turner, Stephen Hales, Billy Allison, Kevin Baldwin, Anna Brockett, Paul Chung, Arthur De Cloedt, Terry Dormer, Bob Godfrey, Tony Guy, Colin Hughes, Arthur Humberstone, Willard Kitchen, Charles MacRae, Neil Salmon, Kim Stephenson, Paul Stone, Glenn Whiting, Rob Newman

" Fénelon ( Second Dialogue ) describes it as portrayal ; De Quincey, as a holding of the thought until the mind gets time to eddy about it ; Newman gives a masterly analysis of it ; his own sermons are remarkable for this quality of amplification as are those of Bourdaloue on the intellectual, and those of Massillon on the intellectual-emotional side, v. g. the latter's sermon on the Prodigal Son.

Clifton James has been working with many Hollywood legends including Marlon Brando, Charlton Heston, Steve McQueen, Lee Marvin, Paul Newman, Jack Nicholson, Gene Wilder, Robert De Niro and Tom Hanks.

Sasso also does many celebrity impersonations, including impersonations of Arnold Schwarzenegger, Chris Farley, Steven Seagal, Bill Clinton, Drew Carey, Elton John, Elvis Presley, Fred Durst, George W. Bush, James Gandolfini ( as himself and Tony Soprano ), James Lipton, Jesse Ventura, Kenny Rogers, Lance Bass, Louie Anderson, Paul Shaffer, Randy Newman, Richard Simmons, Robert De Niro, The Rock, Steve Austin, Wayne Newton, William Frawley ( as Fred Mertz from I Love Lucy ), and William Shatner ( as himself and as James T. Kirk ).

The list of Stella Adler's and Group Theatre founder Lee Strasberg's students, mostly Gentiles, reads like a Who's Who of American acting: Marlon Brando, Jill Clayburgh, James Dean, Robert De Niro, Paul Newman, Jack Nicholson, Al Pacino, and Eva Marie Saint, to name just a few.

De Palma describes the sequence as a constant invocation of Brechtian distanciation: “ First of all, I am interested in the medium of film itself, and I am constantly standing outside and making people aware that they are always watching a film.

De La Hoya showed a more relaxed style, throwing a constant jab and always staying on his toes.

That the depredations of the ruling classes were mostly responsible for the uprising of the bagaudae was not lost on the fifth-century writer of historicised polemic, Salvian ; setting himself in the treatise De gubernatione Dei the task of proving God's constant guidance, he declares in book iii that the misery of the Roman world is all due to the neglect of God's commandments and the terrible sins of every class of society.

In subsequent years, Boon divided his energies between a constant stream of novels and journalistic pieces for Het Parool, De Zweep, Zondagspost.

Kummer, De numeris complexis, qui radicibus unitatis et numeris integris realibus constant, Gratulationschrift der Univ.

The wearing of a devotional scapular has been viewed as a constant meditation by Bishop Leo De Goesbriand ::

By the middle of August 1797, after six weeks of constant easterly winds that kept his ships trapped in their harbour, De Winter decided that an attempt to join the French at Brest as the first stage of an invasion of Ireland was impractical and he abandoned the plan.

On his first voyage as a captain, De With already showed he was the strict disciplinarian of later legend: on 13 April six of his men deserted his ship, and the constant beatings and floggings, to flee to the uninhabited island of Juan Fernández.

Although De Haan's fame waned after his death, his works have been published and reprinted in a fairly constant stream.