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2 unusual facts about Brun's theorem


Brun's theorem

The bid was posted by Google and was one of three Google bids based on mathematical constants.

The digits of Brun's constant was used in a bid of $1,902,160,540 in the Nortel patent auction.


Australian feral camel

The first suggestion of bringing camels to Australia was made in 1822 by Conrad Malte-Brun, whose Universal Geography contains the following;

Beck's theorem

Both appeared, alongside several other important theorems, in a well-known paper by József Beck.

Bloch's theorem

For the theorem named after Felix Bloch on wave functions of a particle in a periodic potential, see Bloch wave.

Ceva's theorem

But it was proven much earlier by Yusuf Al-Mu'taman ibn Hűd, an eleventh-century king of Zaragoza.

Chaplygin sleigh

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.

Copeland–Erdős constant

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.

De Bruijn's theorem

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.

Eberhard Isbrand Ides

His account appeared in French translation, along with a work by Cornelis de Bruijn, in Voyage de Corneille Le Brun par la Moscovie, en Persia, et aux Indes Orientales (6 parts in 2 volumes), published in Amsterdam in 1718.

Endre Szemerédi

Ajtai and Szemerédi proved the corners theorem, an important step toward higher dimensional generalizations of the Szemerédi theorem.

EuroBrun ER188

Two cars were entered for 1987 Formula 3000 champion Stefano Modena of Italy and long-time Brun sports car stalwart, 33 year old F1 rookie, Argentine Oscar Larrauri.

Fáry's theorem

Heiko Harborth raised the question of whether every planar graph has a straight line representation in which all edge lengths are integers.

Fermat's theorem

The works of 17th century mathematician Pierre de Fermat engendered many theorems.

Friedrich Schottky

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.

Gravitational lensing formalism

While gravitational lensing preserves surface brightness, as dictated by Liouville's theorem, lensing does change the apparent solid angle of a source.

Greedy embedding

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.

Henstock–Kurzweil integral

Cousin's theorem states that for every gauge \delta, such a \delta-fine partition P does exist, so this condition cannot be satisfied vacuously.

Hilbert's theorem

Hilbert's basis theorem, in commutative algebra, stating every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated

Hilbert's irreducibility theorem, in number theory, concerning irreducible polynomials

Hilbert's syzygy theorem, a result of commutative algebra in connection with the syzygy problem of invariant theory

Hilbert's Theorem 90, an important result on cyclic extensions of fields that leads to Kummer theory

Hymn Before Sunrise

In describing works about the mountains in general, Coleridge may have used other poems by Brun or a poem by Friedrich Leopold zu Stolberg-Stolberg.

Johan Nordahl Brun

Johan Nordahl Brun (21 March 1745 in Trondheim—26 July 1816) was the poet, dramatist, bishop in Bergen (1804-1816), and politician who contributed significantly to the growth of National Romanticism in Norway, contributing to the growing national consciousness.

Johannes Handschin

During the 1930s to 1950s, hyperrealist poster artists such as Hans Handschin, Herbert Leupin, Peter Birkhäuser, Fritz Bühler, Max Dalang and Donald Brun produced a great number of lithographic posters depicting products created by Basel manufacturers, and whose works were characterised by a rich palette of colours and flawless printing.

Kellogg's theorem

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.

Kirchhoff's theorem

Cayley's formula follows from Kirchhoff's theorem as a special case, since every vector with 1 in one place, −1 in another place, and 0 elsewhere is an eigenvector of the Laplacian matrix of the complete graph, with the corresponding eigenvalue being n.

Kolmogorov–Smirnov test

This result may also be known as the Kolmogorov theorem; see Kolmogorov's theorem for disambiguation.

Komura

Kōmura's theorem, result on the differentiability of absolutely continuous Banach space-valued functions

Lars Bygdén

The album included the song This Road, a duet featuring Ane Brun (also featured on Brun's album Duets).

Liouville number

The following lemma is usually known as Liouville's theorem (on diophantine approximation), there being several results known as Liouville's theorem.

Montel's theorem

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 theorem

Morley's categoricity theorem, a theorem related to model theory, discovered by Michael D. Morley

Morley's trisector theorem, a theorem related to geometry, discovered by Frank Morley

Pfaffian function

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

Poynting's theorem on conservation of energy in electromagnetic field

Rado graph

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.

Reflections on the Motive Power of Fire

The Reflections contain a number of principles such as the Carnot cycle, the Carnot heat engine, Carnot's theorem, thermodynamic efficiency.

Representability

Brauer's theorem on the representability of zero by forms over certain fields in sufficiently many variables

Riemann–Roch theorem

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.

Rouché's theorem

Theodor Estermann (1902–1991) proved in his book Complex Numbers and Functions the following relation: Let K\subset G be a bounded region with continuous boundary \partial K.

Savitch's theorem

In computational complexity theory, Savitch's theorem, proved by Walter Savitch in 1970, gives a relationship between deterministic and non-deterministic space complexity.

Stine Brun Kjeldaas

Stine Brun Kjeldaas is married to Dutch snowboarder Cheryl Maas.

Stubben

Stubben grew and merged with the former independent communities of Adelstedt, Brun, and Elfershude and with the Erbhof Plein, an area which previously belonged to neighbouring Bokel.

Superslow process

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

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.

Taylor's theorem

An earlier version of the result is already mentioned in 1671 by James Gregory.

Thévenin's theorem

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.

Thyatis

It is on the southeastern coast of the continent of Brun, situated between the trade lanes of the Sea of Dread to the south and the Sea of Dawn to the east, alongside a canal ("Vanya's Girdle").

Timeline of women in mathematics worldwide

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.

Topological graph

The prototype of such results is Turán's theorem, where there is one forbidden subgraph: a complete graph with k vertices (k is fixed).

Vincent's theorem

Thesis "Vincent's Theorem in Algebraic Manipulation", North Carolina State University, USA, 1978.


see also