Kenneth Appel and Wolfgang Haken finally proved this in 1976.

In graph theory, much research was motivated by attempts to prove the four color theorem, first stated in 1852, but not proved until 1976 ( by Kenneth Appel and Wolfgang Haken, using substantial computer assistance ).

The four color theorem was proven in 1976 by Kenneth Appel and Wolfgang Haken.

In 1976, while other teams of mathematicians were racing to complete proofs, Kenneth Appel and Wolfgang Haken at the University of Illinois announced that they had proven the theorem.

A computer-aided proof produced in 1976 by Kenneth Appel and Wolfgang Haken makes fundamental use of the notion of " discharging " developed by Heesch.

Kenneth Ira Appel ( born October 8, 1932 in Brooklyn, New York ) is a mathematician who in 1976, with colleague Wolfgang Haken at the University of Illinois at Urbana-Champaign, solved one of the most famous problems in mathematics, the four-color theorem.

Wolfgang Haken ( born June 21, 1928 in Berlin, Germany ) is a mathematician who specializes in topology, in particular 3-manifolds.

Wolfgang Haken was a recipient of the 1979 Fulkerson Prize of the American Mathematical Society for his solution with Appel of the four-color problem.

* Wolfgang Haken biography from World of Mathematics

de: Wolfgang Haken

es: Wolfgang Haken

fr: Wolfgang Haken

nl: Wolfgang Haken

sk: Wolfgang Haken

sv: Wolfgang Haken

In the following century, a vast amount of work and theories were developed to reduce the number of colors to four, until the four color theorem was finally proved in 1976 by Kenneth Appel and Wolfgang Haken.

* The four color theorem is proved by Kenneth Appel and Wolfgang Haken, the first major theorem to be proved using a computer.

In particular, he was the first to investigate the notion of " discharging ", which turned out to be a fundamental ingredient of the eventual computer-aided proof by Kenneth Appel and Wolfgang Haken.

** Kenneth Appel and Wolfgang Haken for the four color theorem.

The Math Department at UIUC celebrated the new primes with a postal meter cancellation stamp — until Kenneth Appel | Appel and Wolfgang Haken | Haken proved the Four color theorem | 4-color theorem in 1976.

The four color theorem was finally proved by Kenneth Appel and Wolfgang Haken at the University of Illinois, with the aid of a computer.

The case of the sphere is the four-color conjecture which was settled by Kenneth Appel and Wolfgang Haken in 1976.

The Bayreuth Festival opens July 23 with a new production of `` Tannhaeuser '' staged by Wieland Wagner, who is doing all the operas this time, and conducted by Wolfgang Sawallisch.

The birth of the Bildungsroman is normally dated to the publication Wilhelm Meister's Apprenticeship by Johann Wolfgang Goethe in 1795 – 96.

The period is sometimes referred to as the era of Viennese Classic or Classicism (), since Wolfgang Amadeus Mozart, Joseph Haydn, Antonio Salieri, and Ludwig van Beethoven all worked at some time in Vienna, and Franz Schubert was born there.

Christopher Wolfgang Alexander ( born October 4, 1936 in Vienna, Austria ) is a registered architect noted for his theories about design, and for more than 200 building projects in California, Japan, Mexico and around the world.

Diderot's Essais sur la peinture was described by Johann Wolfgang von Goethe, as " a magnificent work, which speaks even more helpfully to the poet than to the painter, though to the painter too it is as a blazing torch.

Wolfgang Puck is considered as one of the pioneers of fusion cuisine.

In 1768, when court intrigue prevented the performance of La Finta Semplice ( K. 51 ) for which a twelve-year-old Wolfgang Amadeus Mozart had composed 500 pages of music, Mesmer is said to have arranged a performance in his garden of Mozart's Bastien und Bastienne ( K. 50 ), a one-act opera, though Mozart's biographer Nissen has stated that there is no proof that this performance actually took place.

which is a function that can be evaluated for complex b. Wolfgang Schramm has shown that

* 1985 – The grave of " Wolfgang Gerhard " is exhumed in Embu, Brazil ; the remains found are later proven to be those of Josef Mengele, Auschwitz's " Angel of Death ".

He was a master of counterpoint, the complex and highly disciplined art for which Johann Sebastian Bach is famous, and of development, a compositional ethos pioneered by Joseph Haydn, Wolfgang Amadeus Mozart and Ludwig van Beethoven.

Java is a German-style board game designed by Wolfgang Kramer and Michael Kiesling and published in 2000 by Ravensburger in German and by Rio Grande Games in English.

A prominent proverb scholar in the United States is Wolfgang Mieder.

A seminal work in the study of proverbs is Archer Taylor's The Proverb ( 1931 ), later republished by Wolfgang Mieder with Taylor's Index included ( 1985 / 1934 ).

The topology we obtain on Gal ( L / K ) is known as the Krull topology after Wolfgang Krull.

He based his epistemology on Johann Wolfgang Goethe's world view, in which “ Thinking … is no more and no less an organ of perception than the eye or ear.

Le nozze di Figaro, ossia la folle giornata ( The Marriage of Figaro, or The Day of Madness ), K. 492, is an opera buffa ( comic opera ) composed in 1786 in four acts by Wolfgang Amadeus Mozart, with a libretto in Italian by Lorenzo Da Ponte, based on a stage comedy by Pierre Beaumarchais, La folle journée, ou le Mariage de Figaro ( 1784 ).

* Johann Wolfgang von Goethe ( 1749 – 1832 ) is closely identified with Enlightenment values, progressing from Sturm und Drang (" Storm and Stress "); leader in Weimar Classicism.

Wolfgang Petersen ( born 14 March 1941 ) is a German film director and screenwriter.

** Natascha Kampusch is abducted by Wolfgang Priklopil ( she will remain in his captivity until August 2006 ).

* The Adélaïde Concerto, a spurious work attributed to Wolfgang Amadeus Mozart, is published as " edited " ( actually composed ) by Marius Casadesus.

* Johann Wolfgang von Goethe publishes his epistolary novel The Sorrows of Young Werther ( Die Leiden des jungen Werthers ) which is influential in the Sturm und Drang movement and Romanticism.

The Magic Flute (, K. 620 ) is an opera in two acts by Wolfgang Amadeus Mozart to a German libretto by Emanuel Schikaneder.

Die Entführung aus dem Serail ( K. 384 ; The Abduction from the Seraglio ; also known as Il Seraglio ) is an opera Singspiel in three acts by Wolfgang Amadeus Mozart.

Così fan tutte, ossia La scuola degli amanti ( Thus Do They All, or The School For Lovers ) K. 588, is an Italian language opera buffa by Wolfgang Amadeus Mozart first performed in 1790.