• Thumbnail for Hilbert's problems
    Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several...
    42 KB (3,697 words) - 17:57, 29 July 2025
  • Hilbert's twenty-second problem is the penultimate entry in the celebrated list of 23 Hilbert problems compiled in 1900 by David Hilbert. It entails the...
    4 KB (566 words) - 14:33, 7 September 2023
  • Thumbnail for David Hilbert
    irreducibility theorem Hilbert's Nullstellensatz Hilbert's theorem (differential geometry) Hilbert's Theorem 90 Hilbert's syzygy theorem Hilbert–Speiser theorem...
    60 KB (7,159 words) - 19:53, 9 August 2025
  • Thumbnail for Riemann hypothesis
    make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay...
    127 KB (16,716 words) - 13:38, 10 August 2025
  • achievements of David Hilbert were now considered. In addition to Hilbert's problems, Hilbert space, Hilbert Classification and the Hilbert Inequality, du Sautoy...
    17 KB (2,091 words) - 13:47, 3 August 2025
  • 1900 David Hilbert included it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth problem. The next step...
    22 KB (2,721 words) - 21:16, 9 August 2025
  • all equal to 1 or −1? Hilbert's fifteenth problem: put Schubert calculus on a rigorous foundation. Hilbert's sixteenth problem: what are the possible...
    198 KB (20,372 words) - 21:00, 9 August 2025
  • arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of...
    69 KB (8,373 words) - 20:10, 24 July 2025
  • Thumbnail for Andrew M. Gleason
    widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in math­e­mat­ics teaching...
    51 KB (5,390 words) - 15:32, 24 June 2025
  • for example, Hilbert's tenth problem which is RE-complete. A similar problem exists in the theory of algebraic complexity: VP vs. VNP problem. Like P vs...
    63 KB (7,797 words) - 07:17, 31 July 2025
  • 23 (number) (redirect from Twenty-three)
    {\displaystyle R_{1031}} . Hilbert's problems are twenty-three problems in mathematics published by German mathematician David Hilbert in 1900. The first Mersenne...
    20 KB (3,114 words) - 21:30, 17 June 2025
  • In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally...
    67 KB (8,756 words) - 20:28, 29 July 2025
  • Thumbnail for Reproducing kernel Hilbert space
    kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space...
    33 KB (6,325 words) - 05:39, 15 June 2025
  • father-in-law a postcard: Dear Professor Church, Russell had the iota operator, Hilbert had the epsilon operator. Why did you choose lambda for your operator?...
    90 KB (12,167 words) - 21:23, 2 August 2025
  • Thumbnail for Basel problem
    Since the problem had withstood the attacks of the leading mathematicians of the day, Euler's solution brought him immediate fame when he was twenty-eight...
    44 KB (8,669 words) - 22:13, 22 June 2025
  • intersection points. In 1899 David Hilbert gave a complete set of (second order) axioms for Euclidean geometry, called Hilbert's axioms, and between 1926 and...
    36 KB (4,389 words) - 13:07, 14 July 2025
  • Thumbnail for John von Neumann
    "Hilbert's Sixth Problem: Mathematical Treatment of the Axioms of Physics". In Browder, Felix E. (ed.). Mathematical Developments Arising from Hilbert...
    208 KB (23,708 words) - 22:29, 9 August 2025
  • 1900, David Hilbert posed the problem of proving their consistency using only finitistic methods as the second of his twenty-three problems. In 1931, Kurt...
    49 KB (6,478 words) - 19:26, 19 July 2025
  • Thumbnail for Josip Plemelj
    uses it frequently." List of Slovenes Slovene mathematicians Hilbert's twenty-first problem "Plemelj, Josip (1873–1967) - Slovenska biografija". www.slovenska-biografija...
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  • the problems solvable in deterministic polynomial time. On all finite structures (regardless of whether they are ordered), Existential second-order...
    23 KB (3,093 words) - 20:46, 6 July 2025
  • Thumbnail for Speed of light
    consequence of this, if a robot on the surface of Mars were to encounter a problem, its human controllers would not be aware of it until approximately 4–24...
    141 KB (14,766 words) - 20:24, 26 July 2025
  • Thumbnail for Emmy Noether
    Noether extended Hilbert's theorem to representations of a finite group over any field; the new case that did not follow from Hilbert's work is when the...
    133 KB (15,220 words) - 09:03, 3 August 2025
  • Thumbnail for Polyhedron
    dawned with Hilbert's problems, one of which, Hilbert's third problem, concerned polyhedra and their dissections. It was quickly solved by Hilbert's student...
    97 KB (10,652 words) - 01:08, 3 August 2025
  • Thumbnail for Fermat's Last Theorem
    new approaches to numerous other problems and mathematically powerful modularity lifting techniques. The unsolved problem stimulated the development of algebraic...
    103 KB (11,656 words) - 21:46, 3 August 2025
  • defined as the set of problems having a polynomial-time many-one reduction to the existential theory of the reals. Hilbert's tenth problem, on the (undecidable)...
    32 KB (3,824 words) - 07:46, 21 July 2025
  • Thumbnail for Cube
    A. R. (2001). Convex Polyhedra with Regularity Conditions and Hilbert's Third Problem. Texts and Readings in Mathematics. Hindustan Book Agency. p. 84–89...
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  • Kepler conjecture, 1998 – the problem of optimal sphere packing in a box Lorenz attractor, 2002 – 14th of Smale's problems proved by Warwick Tucker using...
    18 KB (2,059 words) - 13:21, 30 June 2025
  • Thumbnail for Equality (mathematics)
    Algebra is the branch of mathematics concerned with equation solving: the problem of finding values of some variable, called unknown, for which the specified...
    69 KB (7,953 words) - 18:33, 2 August 2025
  • geometry. Second, that complicated combinatorial geometry necessarily comes from algebraic objects; this is akin to the classical problem of finding...
    30 KB (3,633 words) - 20:03, 4 October 2023
  • Thumbnail for History of artificial intelligence
    will be capable, within twenty years, of doing any work a man can do." 1967, Marvin Minsky: "Within a generation... the problem of creating 'artificial...
    172 KB (20,004 words) - 06:34, 9 August 2025