The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem.
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Police have identified the fan as Brett Hilbert of Kenmore, New York.
Ciprian Foiaş, Béla Szőkefalvi-Nagy: Analyse harmonique des opérateurs de l'espace de Hilbert.
It was invented in 1977 by Norman Parker, Francis Hilbert, and Yoshio Sakaie, and published in an IEEE journal.
Probably Gauss first realized this, and used it to prove the impossibility of some constructions; only much later did Hilbert find a complete set of axioms for geometry.
In von Neumann algebras, the Connes embedding problem or conjecture, due to Alain Connes, asks whether every free ultrafilter.
At the University of Göttingen, Hilbert was surrounded by a social circle of some of the most important mathematicians of the 20th century, such as Emmy Noether and Alonzo Church.
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One who had to leave Germany, Paul Bernays, had collaborated with Hilbert in mathematical logic, and co-authored with him the important book Grundlagen der Mathematik (which eventually appeared in two volumes, in 1934 and 1939).
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Hilbert, the first of two children of Otto and Maria Therese (Erdtmann) Hilbert, was born in the Province of Prussia - either in Königsberg (according to Hilbert's own statement) or in Wehlau (known since 1946 as Znamensk) near Königsberg where his father worked at the time of his birth.
In 2008, he handled the play-by-play duties for the Wisconsin Interscholastic Athletic Association Division 7 championship game played at Camp Randall Stadium in Madison, Wisconsin, between Hilbert and Burlington Catholic Central.
Shape theory: Many shape invariants (Borsuk groups, Quigley inward and approaching groups) of a compact metric space can be obtained as exterior homotopy groups of the exterior space determined by the open neighborhoods of a compact metric space embedded in the Hilbert cube.
The trail begins at the CityDeck in Green Bay, Wisconsin, follows the Fox River south through De Pere, then deviatiating east, away from the river, were it follows a former railroad bed through Rockland, Wrightstown, Greenleaf, Holland, and ends at Ott Road in Hilbert.
The mathematical transform which shifts the phase of all components of some function by is called a Hilbert transform; the components of the magnetization vector can therefore be any Hilbert transform pair (the simplest of which is simply
Hilbert C*-modules were first introduced in the work of Irving Kaplansky in 1953, which developed the theory for commutative, unital algebras (though Kaplansky observed that the assumption of a unit element was not "vital").
In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology.
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Conversely, every Polish space is homeomorphic to a Hilbert spectrum
The Hilbert spectrum (sometimes referred to as the Hilbert amplitude spectrum), named after David Hilbert, is a statistical tool that can help in distinguishing among a mixture of moving signals.
The Hilbert transform is named after David Hilbert, who first introduced the operator in order to solve a special case of the Riemann–Hilbert problem for holomorphic functions.
Hilbert van der Duim became World Allround Champion in 1980, being the first skater in four years to beat Eric Heiden in international competition.
In mathematical logic, the Hilbert–Bernays provability conditions, named after David Hilbert and Paul Bernays, are a set of requirements for formalized provability predicates in formal theories of arithmetic (Smith 2007:224).
They also form a Hilbert space, which can be shown to be naturally isometrically isomorphic to the tensor product of Hilbert spaces
Since the 1960s, following the work of Arthur Wightman and Rudolf Haag, also modern quantum field theory can be considered close to an axiomatic description.
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
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Hilbert's Nullstellensatz, the basis of abstract algebra, establishing a fundamental relationship between geometry and algebra
The third on Hilbert's list of mathematical problems, presented in 1900, was the first to be solved.
While Steve and Tomisue Hilbert weren’t arrested; former quarterback, Jack Trudeau, was arrested for serving minors alcohol.
Stasheff's research contributions include the study of associativity in loop spaces and the construction of the associahedron (also called the Stasheff polytope), ideas leading to the theory of operads; homotopy theoretic approaches to Hilbert's fifth problem on the characterization of Lie groups; and the study of Poisson algebras in mathematical physics.
The result on the group of bounded operators was proved by the Dutch mathematician Nicolaas Kuiper, for the case of a separable Hilbert space; the restriction of separability was later lifted.
Morton Shelly Hilbert (January 3, 1917 - December 24, 1998) was a professor of public health, environmentalist, and co-founder of Earth Day.
Every correspondence prescription between phase space and Hilbert space, however, induces its own proper ★-product.
The problem of finding their solutions is equivalent to the Hilbert's tenth problem that is proven to be algorithmically unsolvable.
More generally, given an abelian topological group G with Pontryagin dual G^, Parseval's theorem says the Pontryagin–Fourier transform is a unitary operator between Hilbert spaces L2(G) and L2(G^) (with integration being against the appropriately scaled Haar measures on the two groups.) When G is the unit circle T, G^ is the integers and this is the case discussed above.
In 1900, David Hilbert posed the problem of proving their consistency using only finitistic methods as the second of his twenty-three problems.
(See Hilbert's 17th problem and Krivine's Positivestellensatz.)
Squeezed coherent state, in physics, a state of the quantum mechanical Hilbert space
This coincides with the ordinal successor operation for finite cardinals, but in the infinite case they diverge because every infinite ordinal and its successor have the same cardinality (a bijection can be set up between the two by simply sending the last element of the successor to 0, 0 to 1, etc., and fixing ω and all the elements above; in the style of Hilbert's Hotel Infinity).
Vi Hilbert (née Anderson, Lushootseed name: taqʷšəblu, July 24, 1918 – December 19, 2008) was a Native American tribal elder of the Upper Skagit, a tribe of the greater Puget Salish in Washington State, whose ancestors occupied the banks along the Skagit River, and was a conservationist of the Lushootseed language and culture.
WIS 57 was rerouted onto its current alignment between Hilbert and Askeaton in 1932, replacing a former routing to Hollandtown; the original routing was replaced by county roads.
Norma Zarky (1917–1977), American lawyer and wife of Hilbert