König's lemma (also known as König's infinity lemma), named after Dénes Kőnig
Liouville's theorem | Chinese remainder theorem | Shannon–Hartley theorem | Ralf König | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | Hahn–Banach theorem | Fermat's Last Theorem | Buckingham π theorem | Bad König | Wilhelm König | Thue–Siegel–Roth theorem | Szemerédi's theorem | Schottky's theorem | Riemann-Roch theorem | René König | Pythagorean theorem | Nash embedding theorem | Müntz–Szász theorem | Miroslav König | Malgrange–Ehrenpreis theorem | König's lemma | König Ottokars Glück und Ende | König | Kleene fixed-point theorem | Kakutani fixed-point theorem | Gauss–Bonnet theorem | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Dieter König |
Finally, generals Wittgenstein and Blücher were ordered to stop at Bautzen by Tsar Alexander I and König Frederick William III.
Both appeared, alongside several other important theorems, in a well-known paper by József Beck.
In Germany there had already been massacres stirred up by local demagogues: the Roettingen "Knight Rindfleisch," the Rintfleisch massacres (1298), and the innkeeper-knight Arnold von Uissigheim König Armleder ("King Leatherarm") of the Armleder massacres (1336–38).
For the theorem named after Felix Bloch on wave functions of a particle in a periodic potential, see Bloch wave.
Other performances in 2004 included Duruflé's Requiem and Rutter's Gloria, as well as Mozart's Vesperae Solennes de Confessore (the Solemn Vespers), K339 and Thamos, König in Ägypten (Thamos, King of Egypt), K345 in its final concert for the year.
But it was proven much earlier by Yusuf Al-Mu'taman ibn Hűd, an eleventh-century king of Zaragoza.
Because this constraint is nonholonomic, Liouville's theorem does not apply, and although energy is conserved, the motion is dissipative in the sense that phase space volume is not conserved.
The constant is irrational; this can be proven with Dirichlet's theorem on arithmetic progressions or Bertrand's postulate (Hardy and Wright, p. 113) or Ramare's theorem that every even integer is a sum of at most six primes.
In a 1969 paper, Dutch mathematician Nicolaas Govert de Bruijn proved several results about packing congruent rectangular bricks (of any dimension) into larger rectangular boxes, in such a way that no space is left over.
Ajtai and Szemerédi proved the corners theorem, an important step toward higher dimensional generalizations of the Szemerédi theorem.
Heiko Harborth raised the question of whether every planar graph has a straight line representation in which all edge lengths are integers.
The works of 17th century mathematician Pierre de Fermat engendered many theorems.
Friedrich Hermann Schottky (24 July 1851 – 12 August 1935) was a German mathematician who worked on elliptic, abelian, and theta functions and introduced Schottky groups and Schottky's theorem.
(One or two cantatas, for example Nach dir, Herr, verlanget mich, BWV 150, may have been written at Arnstadt, his previous residence, for performance at Mühlhausen.) Gott ist mein König, along with another cantata (now lost) composed the following year, was written for the annual service that took place on February 4, the day after the city held elections to install a new city council.
While gravitational lensing preserves surface brightness, as dictated by Liouville's theorem, lensing does change the apparent solid angle of a source.
For maximal planar graphs, in which every face is a triangle, a greedy planar embedding can be found by applying the Knaster–Kuratowski–Mazurkiewicz lemma to a weighted version of a straight-line embedding algorithm of Schnyder.
Cousin's theorem states that for every gauge , such a -fine partition P does exist, so this condition cannot be satisfied vacuously.
Koenig was born in Hoboken, New Jersey, the last child in the family of Herman Koenig (listed as “Henry König” in the 1870 U. S. Federal Census) and Anna Poggenburg, German immigrants.
Hilbert's basis theorem, in commutative algebra, stating every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated
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Hilbert's irreducibility theorem, in number theory, concerning irreducible polynomials
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Hilbert's syzygy theorem, a result of commutative algebra in connection with the syzygy problem of invariant theory
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Hilbert's Theorem 90, an important result on cyclic extensions of fields that leads to Kummer theory
Ludwig: Requiem for a Virgin King (Ludwig – Requiem für einen jungfräulichen König) (1972) - Lola Montez
In 1778, König was transferred to a post with the British East India Company where he remained until his death, undertaking several scientific journeys and working with notable scientists like William Roxburgh, Johan Christian Fabricius and Sir Joseph Banks.
He went on to Freiburg University in Switzerland, where he published his doctoral dissertation on the life of King Mindaugas, Die Litauer unter dem König Mindowe bis zum Jahre 1263, the first such work by a Lithuanian scholar.
He studied at the Vienna University of Technology under Heinrich von Ferstel and Karl König.
Kellogg's theorem is a pair of related results in the mathematical study of the regularity of harmonic functions on sufficiently smooth domains by Oliver Dimon Kellogg.
This result may also be known as the Kolmogorov theorem; see Kolmogorov's theorem for disambiguation.
Kōmura's theorem, result on the differentiability of absolutely continuous Banach space-valued functions
König Ottokars Glück und Ende is a tragedy in five acts written by Franz Grillparzer in 1823.
The following lemma is usually known as Liouville's theorem (on diophantine approximation), there being several results known as Liouville's theorem.
In the Franco-Prussian War, he commanded the armored frigate König Wilhelm and after war's end became commander of the North Sea naval station.
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.
Morley's categoricity theorem, a theorem related to model theory, discovered by Michael D. Morley
In the 1990s, Alex Wilkie showed that one has the same result if instead of adding every analytic function, one just adds the exponential function to R to get the ordered real field with exponentiation, Rexp, a result known as Wilkie's theorem.
Poynting's theorem on conservation of energy in electromagnetic field
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 Reflections contain a number of principles such as the Carnot cycle, the Carnot heat engine, Carnot's theorem, thermodynamic efficiency.
Brauer's theorem on the representability of zero by forms over certain fields in sufficiently many variables
The theorem for compact Riemann surfaces can be deduced from the algebraic version using Chow's theorem and the GAGA principle: in fact, every compact Riemann surface is defined by algebraic equations in some complex projective space.
An artist of ability on pianoforte, organ, and violin, Radecke is best known for his compositions, which include two orchestral overtures, König Johann and Am Strande; the operetta Die Mönchguter (1824); and, above all, for his many songs.
Theodor Estermann (1902–1991) proved in his book Complex Numbers and Functions the following relation: Let be a bounded region with continuous boundary .
In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic space complexity.
Stagnation zones theorems are closely related to pre-Liouville's theorems about evaluation of solutions fluctuation, which direct consequences are the different versions of the classic Liouville theorem about conversion of the entire doubly periodic function into the identical constant.
Syamadas Mukhopadhyaya (June 22, 1866 – May 8, 1937) was an Indian mathematician who introduced the four-vertex theorem and Mukhopadhyaya's theorem in plane geometry.
An earlier version of the result is already mentioned in 1671 by James Gregory.
The theorem was independently derived in 1853 by the German scientist Hermann von Helmholtz and in 1883 by Léon Charles Thévenin (1857–1926), an electrical engineer with France's national Postes et Télégraphes telecommunications organization.
1930s: British mathematician Mary Cartwright proved her theorem, now known as Cartwright's theorem, which gives an estimate for the maximum modulus of an analytic function that takes the same value no more than p times in the unit disc.
The prototype of such results is Turán's theorem, where there is one forbidden subgraph: a complete graph with k vertices (k is fixed).
His opera Der König der dunklen Kammer, based on a work by Rabindranath Tagore, won the Emil Hertzka Prize.