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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
Kellogg's_theorem
Birkhoff–Kellogg invariant-direction theorem, named after G. D. Birkhoff and O. D. Kellogg, is a generalization of the Brouwer fixed-point theorem. The theorem
Birkhoff–Kellogg invariant-direction theorem
Birkhoff–Kellogg_invariant-direction_theorem
Theorem in topology
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f
Brouwer_fixed-point_theorem
Harmonic functions as solutions to Laplace's equation
function – Class of mathematical functions Kellogg's theorem Garabedian, P. R.; Schiffer, M. (1950). "On existence theorems of potential theory and conformal mapping"
Potential_theory
American economist
Gibbard–Satterthwaite theorem Muller–Satterthwaite theorem Myerson–Satterthwaite theorem "Mark Satterthwaite - Faculty". Kellogg School of Management.
Mark_Satterthwaite
American mathematician (1878–1932)
David Birkhoff he generalized the Brouwer fixed point theorem to the theorem of Birkhoff–Kellogg. Among his doctoral students was Arthur Copeland. with
Oliver_Dimon_Kellogg
Topics referred to by the same term
real symmetric matrix Minimax theorem, one of a number of theorems relating to the max-min inequality The Min-max theorem, a characterization of eigenvalues
Minimax_(disambiguation)
German mathematician (1862–1943)
Hilbert–Burch theorem Hilbert's irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's
David_Hilbert
Complex square matrix for which every principal minor is positive
P-matrices, with every principal minor ≥ {\displaystyle \geq } 0. By a theorem of Kellogg, the eigenvalues of P- and P 0 {\displaystyle P_{0}} - matrices are
P-matrix
Second-order partial differential equation
{\displaystyle u} is harmonic in D {\displaystyle D} , then the divergence theorem implies the compatibility condition ∫ ∂ D ∂ u ∂ ν d S = 0. {\displaystyle
Laplace's_equation
German mathematician (1862–1930)
for the first proof of the four-vertex theorem that applied in general to non-convex curves. Kneser's theorem on differential equations is named after
Adolf_Kneser
American mathematician (1884–1944)
Birkhoff–Grothendieck theorem Birkhoff's theorem Birkhoff's axioms Birkhoff interpolation Birkhoff–Kellogg invariant-direction theorem Poincaré–Birkhoff theorem Equidistribution
George_David_Birkhoff
English actor (born 1963)
the play Buddy Holly at the Regal in Greenwich and in a commercial for Kellogg's Bran Flakes. In theatre, Thewlis has starred in Sam Mendes' The Sea at
David_Thewlis
History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the
List of In Our Time programmes
List_of_In_Our_Time_programmes
1962 science fiction novel by H. Beam Piper
with the composition of Zarathustran soil, a contradiction of Garrett's Theorem. A third significant Fuzzy character is developed called Starwatcher. Little
Little_Fuzzy
British computer scientist
Mathematics and Computation (1986–1989) and DPhil in Machine-Assisted Theorem Proving for Software Engineering (1991–1994) from the University of Oxford
Andrew Martin (computer scientist)
Andrew_Martin_(computer_scientist)
Type of formal logic
inconsistency, the theory is trivial – that is, it has every sentence as a theorem. The characteristic or defining feature of a paraconsistent logic is that
Paraconsistent_logic
2018 film by J. A. Bayona
earlier films, is no longer inhabited. The website was designed by Chaos Theorem, a creative digital storytelling company founded by Jack Anthony Ewins
Jurassic World: Fallen Kingdom
Jurassic_World:_Fallen_Kingdom
American economist (born 1948)
inventions of new auction formats". He is the co-creator of the no-trade theorem with Nancy Stokey. He is the co-founder of several companies, the most
Paul_Milgrom
Computing the fixed point of a function
Brouwer fixed-point theorem: that is, f {\displaystyle f} is continuous and maps the unit d-cube to itself. The Brouwer fixed-point theorem guarantees that
Fixed-point_computation
Type of formal logic
N, Necessitation Rule: If p is a theorem/tautology (of any system/model invoking N), then □p is likewise a theorem (i.e. ( ⊨ p ) ⟹ ( ⊨ ◻ p ) {\displaystyle
Modal_logic
Study of behavior of groups
part of psychology, as shown in the work: "Sociodynamics: an integrative theorem of power, authority, interfluence and love". In the 1990s, social dynamics
Social_dynamics
Misinterpretation of a spoken phrase
is based on the main character mishearing le théorème d'Archimède ("the theorem of Archimedes") in his mathematics class. Mondegreens are a well-known
Mondegreen
Family dynamic
families Animated television series about dysfunctional families Rotten kid theorem Abnormality (behavior) Alcoholism in family systems Domestic violence Family
Dysfunctional_family
American philosopher (1941–2001)
David Kellogg Lewis (September 28, 1941 – October 14, 2001) was an American philosopher. Lewis taught briefly at UCLA and then at Princeton University
David_Lewis_(philosopher)
Predictive model of human movement
York University, and named for its resemblance to the Shannon–Hartley theorem. It describes the transmission of information using bandwidth, signal strength
Fitts's_law
Memorial Prize; known for Ambrose–Singer theorem, Atiyah–Singer index theorem, Atiyah–Hitchin–Singer theorem, Ray–Singer torsion and Kadison–Singer problem
List of University of Michigan alumni
List_of_University_of_Michigan_alumni
Theory of subatomic structure
simple groups, a mathematical theorem that provides a list of all possible finite simple groups. This classification theorem identifies several infinite
String_theory
Political ideology emphasising the "common people"
contentious or pressing public concerns. In terms of the median voter theorem, such clustering around the median can leave voters at the margins of the
Populism
Diplomatic policy of concessions
international disarmament that were stepped up with the largely symbolic Kellogg-Briand Pact of 1928 and the Disarmament Conference of 1932-34, and, if
Appeasement
Process of achieving a goal by overcoming obstacles
problem-solving context, it can be used to formally represent a problem as a theorem to be proved, and to represent the knowledge needed to solve the problem
Problem_solving
Pizza prepared using chocolate
2023-09-19.[permanent dead link] Bellisle, F.; Rolland-Cachera, M. F.; Kellogg Scientific Advisory Committee (2007). "Three consecutive (1993, 1995, 1997)
Chocolate_pizza
Mathematical compact operator
eigenspaces are finite-dimensional. On the other hand, by the special theorem for compact operators, H is the orthogonal direct sum of the eigenspaces
Symmetrizable compact operator
Symmetrizable_compact_operator
theoretical physicist (Yang–Mills theory, Wu–Yang dictionary, Lee–Yang theorem), Nobel Prize laureate (1957). István Ágh, 87, Hungarian poet. Trevor Bentham
Deaths_in_October_2025
Electrical transmission without physical connection
1884 John Henry Poynting defined the Poynting vector and gave Poynting's theorem, which describe the flow of power across an area within electromagnetic
Wireless_power_transfer
American economist
strategic delegation and commitments; extensions of Arrow’s Impossibility Theorem in social choice; competitive service speed in queues; and on rational
Ehud_Kalai
(Eclectica Magazine) Best story runner-up: Marshall Moore, "The Infinite Monkey Theorem" (Word Riot) Best online publication: Blackbird Best publisher of novella-length
Million_Writers_Award
American businessman
Morse theory, Cerf theory (from algebraic topology), and Gauss–Bonnet theorem (from differential geometry) to understand adiabatic quantum computation
Sridhar_Tayur
X-ray binary in Cygnus containing a stellar black hole
caused by the neutron star's rotating magnetic field, but the no-hair theorem guarantees that the magnetic field of a black hole is exactly aligned with
Cygnus_X-1
Israeli mathematician
continue actions, using Browder's theorem on the set of zeroes of a continuous functions and the martingale central limit theorem. Solan has contributed extensively
Eilon_Solan
Asset pricing theory
Efficient-market hypothesis Fama–French three-factor model Fundamental theorem of arbitrage-free pricing Investment theory Modern portfolio theory Post-modern
Arbitrage_pricing_theory
Doubly exponential integer sequence
et al. (2005). Curtiss (1922); Miller (1919). Badea, Catalin (1993). "A theorem on irrationality of infinite series and applications". Acta Arithmetica
Sylvester's_sequence
Simultaneous game found in game theory
New Jersey: Princeton University Press, 1992 (ISBN 0-691-00395-5). David Kellogg Lewis: Convention: A Philosophical Study, Oxford: Blackwell, 1969 (ISBN 0-631-23257-5)
Coordination_game
Statement that players know and also know that other players know (ad infinitum)
then such posterior probabilities are equal. The no-trade theorem, based on the agreement theorem, shows that, given certain conditions on market efficiency
Common_knowledge_(logic)
Schrödinger publishes a theorem setting the basis for quantum steering and the limits of quantum state purification. The theorem remained uncredited even
Timeline of quantum computing and communication
Timeline_of_quantum_computing_and_communication
– professor of Mathematics, contributor to the proof of Fermat's Last Theorem Maxwell Rosenlicht – professor of Mathematics, department chairman 1973–1975
List of University of California, Berkeley faculty
List_of_University_of_California,_Berkeley_faculty
Framework of superstring theory
objects are coordinates on some more general notion of "space" and proves theorems about these generalized spaces by exploiting the analogy with ordinary
M-theory
American mathematician
independence would reignite inflation in the United States. Myerson–Satterthwaite theorem Myerson mechanism Myerson ironing List of economists List of Jewish Nobel
Roger_Myerson
Unsolved problem in computational complexity theory
the classification of finite simple groups. Without this classification theorem, a slightly weaker bound 2O(√n log2 n) was obtained first for strongly
Graph_isomorphism_problem
American socialite and philanthropist (1874–1948)
portraits and student art, in the form of calligraphy, memorials, and theorems. The original pieces of the collection were largely sourced from New England
Abby_Aldrich_Rockefeller
British supersymmetry scientist
with 8 supersymmetries and 4 supersymmetries. The non-renormalization theorem plays a key role in determining how supersymmetry might be realised in
Peter_West_(physicist)
British mathematician (1925–2016)
piecewise linear topology and is credited with working out the engulfing theorem (independently also worked out by John Stallings), which can be used to
Christopher_Zeeman
professor at Harvard University Michel Balinski 1954, known for Balinski's theorem; mathematician and economist, winner of the John von Neumann Theory Prize
List of Williams College people
List_of_Williams_College_people
Philosophical theory
there are necessarily some concrete objects. It is a consequence of David Kellogg Lewis's concrete modal realism that it is impossible that no concrete objects
Metaphysical_nihilism
List of scientists who are Christians
Bolzano–Weierstrass theorem. He also gave the first purely analytic proofs of the fundamental theorem of algebra and the intermediate value theorem. Adam Sedgwick
List of Christians in science and technology
List_of_Christians_in_science_and_technology
Austrian philosopher (1879–1944)
indeed make the axiom self-evident. The theorem above, however, would then not be demonstrable. The theorem was proven by Karl Menger, the next deontic
Ernst_Mally
College of the University of Oxford
neurosurgeon Wilder Penfield, mathematician Andrew Wiles who proved Fermat's Last Theorem, computer scientist Tony Hoare, chemist George Radda, economist Catherine
Merton_College,_Oxford
Month of 1982
Borsuk-Spanier cohomotopy groups, Borsuk's conjecture, the Borsuk–Ulam theorem and the Bing–Borsuk conjecture. Fernando Sánchez Polack, 61, Spanish film
January_1982
Berkeley; known for the Morse–Kelley set theory, Morse–Sard theorem and the Federer–Morse theorem John Mylopoulos (Sc.B. 1966) – professor emeritus of Computer
List of Brown University alumni
List_of_Brown_University_alumni
Association. June 2003. Archived from the original on April 21, 2009. Kellogg, Carolyn (April 18, 2016). ""Viet Thanh Nguyen Wins the Pulitzer Prize
List of University of California, Berkeley alumni
List_of_University_of_California,_Berkeley_alumni
Chinese-American physicist (1912–1997)
did research on magnetism in the 1960s. Wu would later work on Bell's theorem, which showed results that confirmed the orthodox interpretation of quantum
Chien-Shiung_Wu
econometrics Anil Nerode (b. 1932), mathematician, proved the Myhill-Nerode Theorem Ria Persad (b. 1974), mathematician, classical musician, and model K. C
List_of_Indian_Americans
Government system dominated by only two major political parties
downplaying alternative views, being less competitive, failing the median voter theorem, encouraging voter apathy since there is a perception of fewer choices
Two-party_system
Order, 8 (3): 225–242, doi:10.1007/BF00383444, S2CID 119697949. Booth, Kellogg S.; Lueker, George S. (1976), "Testing for the consecutive ones property
Series-parallel_partial_order
Ewing Medal (SEG) Alexis Clairaut (French, 1713–1765) – proved Clairaut's theorem and calculated the ellipticity of the Earth William Compston (Australian
List_of_geophysicists
Non-self-adjoint compact operator used to solve boundary value problems for the Laplacian
transform and the Fredholm eigenvalues of bounded planar domains. Green's theorem for a bounded region Ω in the plane with smooth boundary ∂Ω states that
Neumann–Poincaré_operator
Power to perform an action
ability to perform a double backflip or to prove Gödel's incompleteness theorem. While all abilities are powers, the converse is not true, i.e. there are
Ability
British philosopher and economist (born 1947)
these dimensions are linked by what he calls the interpersonal addition theorem, which supports the utilitarian principle of distribution. In his book
John_Broome_(philosopher)
groundbreaking contributions to abstract algebra and theoretical physics; Noether's Theorem Jean-Antoine Nollet (1700–1770), France – Electroscope Wilhelm Normann
List_of_inventors
Hampshire. Kenneth Appel (1932–2013), mathematician; solved the four-color theorem Jeremy Belknap (1744–1798), clergyman, historian Lisa Crystal Carver (born
List of people from Dover, New Hampshire
List_of_people_from_Dover,_New_Hampshire
Oxford University site in England
named after the mathematician Sir Andrew Wiles, who proved Fermat's Last Theorem. The site also includes a Humanities Building and Library, the Nuffield
Radcliffe_Observatory_Quarter
University department of mathematics
university's Regius Professor of Mathematics, is known for proving Fermat's Last Theorem. The design and construction of the building was informed by the academic
Mathematical Institute, University of Oxford
Mathematical_Institute,_University_of_Oxford
Calendar year
Louis-Napoléon Bonaparte. October 23 – The conjecture of the four color theorem is first proposed, as student Francis Guthrie of University College London
1852
Month of 1925
J. Bussgang, Polish-born American mathematician known for the Bussgang theorem, founder of the signal processing firm Signatron Inc.; in Lwow, Poland
March_1925
Professor of Philosophy Emeritus; known for Gibbard–Satterthwaite theorem, Gibbard's theorem, and norm-expressivism David Manley (2009–), associate professor
List of University of Michigan faculty and staff
List_of_University_of_Michigan_faculty_and_staff
of Chicago; fellow of American Mathematical Society; proved ZJ theorem and Z* theorem Jay Greene POLY Chief engineer of NASA Johnson Space Center Peter
List of New York University alumni
List_of_New_York_University_alumni
April 12 Ivo Babuška, 97, Czech-born mathematician (Babuška–Lax–Milgram theorem, Ladyzhenskaya–Babuška–Brezzi condition) (b. 1926) Carolyn Long Banks,
2023 deaths in the United States (April–June)
2023_deaths_in_the_United_States_(April–June)
Decade
largest naval base in Western Europe, opens. Michel Rolle invents Rolle's theorem, which states that any real-valued differentiable function that attains
1690s
Socioeconomic philosophy
economic problem". While he considers these functions a public wrong, Kellogg also asserted the responsibility of the public to find and implement a
Economic_democracy
History of physical crystallography to 1895
James MacCullagh claimed that Hamilton's work was a special case of a theorem he had published in 1830. Hamilton also exchanged letters with George Biddell
Physical crystallography before X-rays
Physical_crystallography_before_X-rays
Ambrosetti, 75, Italian mathematician, discoverer of the mountain pass theorem. Patricia Beatty, 84, Canadian choreographer and dancer. Jorge Horacio
Deaths_in_November_2020
Saginaw) George David Birkhoff, mathematician best known for the ergodic theorem (born in Overisel) Robert John Braidwood, archaeologist and anthropologist
List_of_people_from_Michigan
Theological doctrine in Asia
Robert G. Brown (excerpt from A Theorem Concerning God) Pandeism in Buddhism by Robert G. Brown (excerpt from A Theorem Concerning God) Pandeism in Bahá'i
Pandeism_in_Asia
American mathematician
foundation for dynamic programming in Economics. The paper used the envelope theorem to prove that the value function is differentiable when the objective is
Lawrence_Benveniste
History of chemical crystallography to 1895
Retrieved 21 January 2025. Curie, Marie (1923). Pierre Curie. Translated by Kellogg, Charlotte and Vernon. New York: The Macmillan Company. Retrieved 27 February
Chemical crystallography before X-rays
Chemical_crystallography_before_X-rays
Month of 1926
German-born U.S. mathematician known for the Hochschild–Kostant–Rosenberg theorem; in Berlin (d.2007) Died: Claude Monet, 86, French Impressionist painter
December_1926
Solvable quantum mechanics potential
differentiation as and coincides with the precise expression prescribed by the Gauss theorem on S 3 {\displaystyle S^{3}} , as explained in. Notice that Q {\displaystyle
Trigonometric Rosen–Morse potential
Trigonometric_Rosen–Morse_potential
Physics department at Oxford University
contributions Hawking made include his collaboration with Roger Penrose, on the theorems of gravitational singularity. During the 1900s, Professor Frederick Lindemann
Department of Physics, University of Oxford
Department_of_Physics,_University_of_Oxford
American mathematician (1898–1970)
1090/s0002-9947-1928-1501456-4. MR 1501456. Copeland, A. H. (1936). "A mixture theorem for nonconservative mechanical systems". Bull. Amer. Math. Soc. 42 (12):
Arthur_Herbert_Copeland
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