• The problem of points, also called the problem of division of the stakes, is a classical problem in probability theory. One of the famous problems that...
    9 KB (1,482 words) - 12:29, 1 May 2023
  • Thumbnail for Alhazen's problem
    that is tangent to the circle and has the given points as its foci. Although special cases of this problem were studied by Ptolemy in the 2nd century CE...
    37 KB (4,062 words) - 02:53, 30 July 2025
  • Thumbnail for Closest pair of points problem
    pair of points problem or closest pair problem is a problem of computational geometry: given n {\displaystyle n} points in metric space, find a pair of points...
    9 KB (1,215 words) - 09:28, 29 December 2024
  • Thumbnail for Travelling salesman problem
    points. Of course, this problem is solvable by finitely many trials. Rules which would push the number of trials below the number of permutations of the...
    87 KB (11,604 words) - 02:24, 25 June 2025
  • Thumbnail for Trolley problem
    trolley problem is a series of thought experiments in ethics, psychology and artificial intelligence involving stylized ethical dilemmas of whether to...
    35 KB (4,258 words) - 05:14, 3 August 2025
  • problems stated in terms of points only are sometimes referred to as closest point problems, although the term "closest point problem" is also used synonymously...
    4 KB (514 words) - 00:29, 27 December 2024
  • Fermat in 1656 (two years after the more famous correspondence on the problem of points). Pascal's version was summarized in a 1656 letter from Pierre de...
    16 KB (2,458 words) - 22:53, 19 June 2025
  • Thumbnail for No-three-in-line problem
    Unsolved problem in mathematics How many points can be placed in an n-by-n grid so that no three of them lie on a line? More unsolved problems in mathematics...
    30 KB (3,842 words) - 15:54, 27 December 2024
  • Thumbnail for Three-body problem
    specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other...
    47 KB (5,850 words) - 03:29, 13 July 2025
  • Thumbnail for Problem of Apollonius
    Apollonius' problem can also be formulated as the problem of locating one or more points such that the differences of its distances to three given points equal...
    99 KB (12,273 words) - 21:30, 5 July 2025
  • Thumbnail for Classical definition of probability
    to accompany during a trip. One problem was the so-called problem of points, a classic problem already then (treated by Luca Pacioli as early as 1494, and...
    11 KB (1,457 words) - 04:10, 23 March 2025
  • Thumbnail for Smallest-circle problem
    geometry problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in n-dimensional...
    21 KB (2,602 words) - 14:50, 24 June 2025
  • Thumbnail for Gauss circle problem
    In mathematics, the Gauss circle problem is the problem of determining how many integer lattice points there are in a circle centered at the origin and...
    11 KB (1,634 words) - 21:23, 12 July 2025
  • Thumbnail for Malfatti circles
    two triangle centers, the Ajima–Malfatti points of a triangle. The problem of maximizing the total area of three circles in a triangle is never solved...
    44 KB (4,156 words) - 18:54, 29 June 2025
  • Thumbnail for Heilbronn triangle problem
    problem in mathematics What is the asymptotic growth rate of the area of the smallest triangle determined by three out of n {\displaystyle n} points in...
    20 KB (2,575 words) - 01:52, 17 December 2024
  • Thumbnail for Tammes problem
    the Tammes problem is a problem in packing a given number of points on the surface of a sphere such that the minimum distance between points is maximized...
    6 KB (555 words) - 18:53, 9 June 2025
  • Thumbnail for Happy ending problem
    indeed every set of 30 points in general position contains an empty hexagon. The problem of finding sets of n points minimizing the number of convex quadrilaterals...
    18 KB (1,878 words) - 22:01, 27 March 2025
  • Thumbnail for Chess problem
    problem section of chess magazines, in specialist chess problem magazines, and in collections of chess problems in book form. Not every chess problem...
    29 KB (4,308 words) - 02:25, 21 July 2025
  • densities of rational points of algebraic surfaces and algebraic varieties defined on number fields and their field extensions. Connes embedding problem in Von...
    196 KB (20,120 words) - 20:23, 30 July 2025
  • Thumbnail for Lagrange point
    celestial mechanics, the Lagrange points (/ləˈɡrɑːndʒ/; also Lagrangian points or libration points) are points of equilibrium for small-mass objects...
    52 KB (5,895 words) - 14:28, 23 July 2025
  • FIDE Album (category Chess problems)
    points for a problem; if the judge's combined scores is 8 or greater, the problem is included in the Album. Sometimes the necessary number of points is...
    2 KB (246 words) - 19:43, 19 April 2025
  • the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although...
    27 KB (3,763 words) - 09:41, 28 August 2024
  • Thumbnail for Dividing a circle into areas
    geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created...
    13 KB (1,956 words) - 09:44, 31 January 2025
  • Thumbnail for Hansen's problem
    three points. The problem is to find the positions of P1 and P2. See figure; the angles measured are (α1, β1, α2, β2). Since it involves observations of angles...
    4 KB (810 words) - 21:36, 2 July 2025
  • Thumbnail for Year 2038 problem
    after 03:14:07 UTC on 19 January 2038. The problem exists in systems which measure Unix time—the number of seconds elapsed since the Unix epoch (00:00:00...
    29 KB (3,078 words) - 10:25, 21 July 2025
  • celestial mechanics, Lambert's problem is concerned with the determination of an orbit from two position vectors and the time of flight, posed in the 18th...
    17 KB (2,431 words) - 14:49, 5 August 2025
  • converge to 1? More unsolved problems in mathematics The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture...
    57 KB (7,117 words) - 23:34, 19 July 2025
  • examples of covering problems are the set cover problem, which is equivalent to the hitting set problem, and its special cases, the vertex cover problem and...
    8 KB (938 words) - 10:54, 30 June 2025
  • Thumbnail for Maxima of a point set
    coordinates of p. The maxima of a point set S are all the maximal points of S. The problem of finding all maximal points, sometimes called the problem of the...
    8 KB (941 words) - 06:22, 11 March 2024
  • Thumbnail for Hard problem of consciousness
    In the philosophy of mind, the "hard problem" of consciousness is to explain why and how humans (and other organisms) have qualia, phenomenal consciousness...
    110 KB (12,805 words) - 18:03, 19 July 2025