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unusual facts about Kellogg's theorem


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.


Asexual reproduction in starfish

In 1904, Kellogg observed numerous severed arms on reefs at Apia, Samoa, noting that many were sprouting new arms and suggested that Linckia diplax and Linckia pacifica had the ability to generate new individuals in this way.

Ballad of the Blues

The album has a predominantly pop setting and features Jo Stafford accompanied by her husband Paul Weston and backed by The Starlighters (one the Starlighters is Thurl Ravenscroft who later became known as the voice of "Tony the Tiger" for Kellogg's Frosted Flakes).

Battle of Liberty Place

Both the Democrat John McEnery and Republican William Pitt Kellogg claimed victory; the federal government supported Kellogg.

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.

Clark Kellogg

In June 2010, Ohio Gov. Ted Strickland appointed Kellogg to the university's board of trustees, where he sits today.

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.

Derek Vanlint

He worked on advertisements for such companies as British Airways, Chevrolet, Coca-Cola, General Motors, Guinness, Kellogg's, Levi's, Maxwell House, Pepsi, and Visa.

Endre Szemerédi

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

Fermat's theorem

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

Former Michigan spur routes

M-184 was a state highway that served as a spur route from M-89 to the Kellogg Bird Sanctuary (now the Kellogg Biological Station) in the 1930s.

Francis William Kellogg

Kellogg was elected from Michigan as a Republican to United States House of Representatives for the 36th, 37th, and 38th Congresses, serving from March 4, 1859 to March 3, 1865.

George A. Blauvelt

In September 1914, he opened a law firm in Manhattan with New York Attorney General Thomas Carmody and Deputy Attorney General Joseph A. Kellogg, who both had just resigned, but left the firm in October 1915.

George Bradley Kellogg

In March 1867 President Andrew Johnson nominated Kellogg to be United States Attorney for the Eastern District of Missouri, but he was not confirmed by the United States Senate.

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

John R. Montgomery

Montgomery worked at Burnett for 33 years, where he served as Executive Vice President, Executive Creative Director and handled accounts including McDonald’s (domestic and global), Minute Maid (Coca-Cola), Nintendo, Kellogg, Procter & Gamble, Allstate, 7-Up, Keebler, Green Giant, Miller Beers, United Airlines, Kraft Foods, Nestle and Samsonite.

Kellogg Brothers

The Kellogg Brothers were a family of lithographers and printmakers who flourished in Hartford, Connecticut from about 1830 to the end of the 19th Century.

Kellogg High School

The KHS campus is northwest of central Kellogg, a half-mile (0.8 km) north of Interstate 90 at exit 49 (Bunker Ave.), which extends to the north as Jacobs Gulch Road.

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

Microsoft Entertainment Pack

For much of the early 1990s, the Gamesampler, a subset of the Entertainment Pack small enough to fit on a single high-density disk, was shipped as a free eleventh disk added to a ten-pack of Verbatim blank 3.5" microfloppy diskettes. Games on the sampler included Jezzball, Rodent's Revenge, Tetris, and Skifree. A "Best of" disk of several of the games was also available at times as a mail-in premium from Kellogg's cereals.

Mike Fink

In 1998, children's author, Steven Kellogg wrote a book entitled Mike Fink: A Tall Tale. As in his other books, Kellogg's account of Fink incorporates tall tales with vivid illustrations - highlighting the main character's positive side.

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

Orlando Kellogg

Kellogg was elected as a Republican to the Thirty-eighth and Thirty-ninth Congresses and served from March 4, 1863, until his death in Elizabethtown, New York, August 24, 1865.

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.

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.

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.

Scott E. Page

In 1993 he earned a Ph.D. in Managerial Economics and Decision Sciences also from the Kellogg School under the guidance of Stanley Reiter and Roger Myerson (his advisors), Mark Satterthwaite, and Matthew Jackson.

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.

The Relief Project

This concert was performed in front of a sold out crowd of 1,000 and some of the featured artists who performed at Irving Plaza were Dispatch, State Radio, Stephen Kellogg, Braddigan, Pete Francis, Kate Voegele, and J.E. Borgen.

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.

Virginia Kellogg

Virginia Kellogg (December 3, 1907 – April 8, 1981) was a film writer whose scripts for White Heat (1949) and Caged (1950) were nominated for Oscars.

W. K. Kellogg Arabian Horse Center

This was also the location of the W.K. Kellogg Airport (not to be confused with the W. K. Kellogg Airport in Battle Creek, Michigan).

Wrexham Industrial Estate

Kellogg's - produces the more 'health-oriented' of their range of cereals - All-Bran, Bran Flakes, Special K, Optiva.


see also