• Geometric discrepancy theory is a sub-field of discrepancy theory, that deals with balancing geometric sets, such as intervals or rectangles. The general...
    7 KB (1,006 words) - 21:22, 26 May 2025
  • classical discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (mostly geometrically defined)...
    5 KB (459 words) - 02:21, 2 June 2025
  • Haotian; Kulkarni, Janardhan; Singla, Sahil (2019-10-02). "Online Geometric Discrepancy for Stochastic Arrivals with Applications to Envy Minimization"...
    5 KB (735 words) - 03:28, 28 May 2025
  • Discrepancy of hypergraphs is an area of discrepancy theory that studies the discrepancy of general set systems. In the classical setting, we aim at partitioning...
    11 KB (1,653 words) - 20:17, 22 July 2024
  • Probabilistic Proofs and Pseudorandomness (Oded Goldreich, 1999, vol. 17) Geometric Discrepancy: An Illustrated Guide (Jiří Matoušek, 1999, vol. 18) Applied Finite...
    4 KB (529 words) - 15:35, 19 June 2025
  • Thumbnail for Jiří Matoušek (mathematician)
    Jiří Matoušek (mathematician) (category Researchers in geometric algorithms)
    Mathématiques Discrètes, Springer-Verlag, 2004, ISBN 978-2-287-20010-6. Geometric Discrepancy: An Illustrated Guide. Springer-Verlag, Algorithms and Combinatorics...
    10 KB (904 words) - 15:36, 19 June 2025
  • Travaglini, Giancarlo (2014), Number Theory, Fourier Analysis and Geometric Discrepancy, London Mathematical Society Student Texts, vol. 81, Cambridge University...
    11 KB (1,419 words) - 15:43, 20 June 2025
  • but a gap remains between two edges. It is this kind of discrepancy which is called "geometric frustration". There is one way to overcome this difficulty...
    30 KB (3,809 words) - 07:09, 2 May 2025
  • Thumbnail for Terence Tao
    differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, probability theory, compressed sensing and analytic number...
    79 KB (6,678 words) - 09:50, 21 June 2025
  • rather, it is a determinate sequence of real numbers. We define the discrepancy DN for a sequence (s1, s2, s3, ...) with respect to the interval [a, b]...
    21 KB (2,394 words) - 15:08, 20 March 2025
  • well as 2–50 μm Al particles (often spherical). Because of the size discrepancy between the AP and Al, Al will often take an interstitial position in...
    17 KB (2,202 words) - 21:26, 23 June 2025
  • Thumbnail for Ulfberht swords
    are inlaid with a geometric pattern, usually a braid pattern between vertical strokes. Numerous blades also bear this type of geometric pattern but no Vlfberht...
    16 KB (1,478 words) - 07:01, 14 June 2025
  • Geometrical Product Specification and Verification (GPS&V) is a set of ISO standards developed by ISO Technical Committee 213. The aim of those standards...
    55 KB (5,902 words) - 09:55, 17 March 2025
  • sharp discrepancy between ancient and modern views is easily explained—today we have symbolic algebra and trigonometry that have replaced the geometric equivalents...
    121 KB (17,047 words) - 09:16, 21 June 2025
  • Haotian; Kulkarni, Janardhan; Singla, Sahil (2019-10-02). "Online Geometric Discrepancy for Stochastic Arrivals with Applications to Envy Minimization"...
    9 KB (1,233 words) - 12:26, 24 August 2023
  • Thumbnail for Bernard Chazelle
    Bernard Chazelle (category Researchers in geometric algorithms)
    as major complexity results, such as lower bound techniques based on discrepancy theory. He is also known for his invention of the soft heap data structure...
    5 KB (395 words) - 03:02, 24 March 2025
  • Haotian; Kulkarni, Janardhan; Singla, Sahil (2019-10-02). "Online Geometric Discrepancy for Stochastic Arrivals with Applications to Envy Minimization"...
    39 KB (4,911 words) - 11:57, 25 June 2025
  • Thumbnail for Katalin Vesztergombi
    and graph products,[XN] combinatorial discrepancy theory,[SS] distance problems in discrete geometry,[LD] geometric graph theory,[GR] the rectilinear crossing...
    11 KB (395 words) - 00:23, 10 March 2025
  • {\frac {{\frac {y}{x}}-1}{{\frac {1}{2}}\left(1+{\frac {y}{x}}\right)}}} Geometric mean change x y {\displaystyle {\sqrt {xy}}} y x − 1 x y {\displaystyle...
    26 KB (3,398 words) - 01:30, 19 May 2025
  • applications to geometry. Geometric calculus extends the geometric algebra to include differentiation and integration. Geometric combinatorics a branch of...
    71 KB (7,692 words) - 22:32, 2 March 2025
  • recognition of sensor readings that indicate a fault and an analysis of the discrepancy between the sensor readings and expected values, derived from some model...
    26 KB (3,228 words) - 07:05, 2 June 2025
  • Thumbnail for Precession
    much slower rate, making them nearly circular and nearly stationary. Discrepancies between the observed perihelion precession rate of the planet Mercury...
    21 KB (2,718 words) - 21:34, 15 January 2025
  • Thumbnail for Group theory
    \langle z\rangle .} ) Geometric group theory attacks these problems from a geometric viewpoint, either by viewing groups as geometric objects, or by finding...
    39 KB (5,086 words) - 11:47, 19 June 2025
  • Thumbnail for Origins and architecture of the Taj Mahal
    concluded a 400-gaz grid was used and then subdivided and that the various discrepancies they discovered were due to errors in the contemporary descriptions...
    80 KB (10,002 words) - 08:01, 17 June 2025
  • Surface metrology (category Geometric measurement)
    1088/0957-0233/19/1/015303. Rhee, H. G.; Vorburger, T. V.; Lee, J. W.; Fu, J (2005). "Discrepancies between roughness measurements obtained with phase-shifting and white-light...
    19 KB (2,232 words) - 07:22, 19 May 2024
  • Thumbnail for Hubble's law
    shrunk, but the discrepancies have not, to the point that the disagreement is now highly statistically significant. This discrepancy is called the Hubble...
    132 KB (13,177 words) - 05:27, 15 June 2025
  • Fractional cascading (category Geometric data structures)
    J.; Blanton, Marina; Goodrich, Michael T.; Polu, Stanislas (2007), "Discrepancy-sensitive dynamic fractional cascading, dominated maxima searching, and...
    25 KB (3,868 words) - 23:49, 5 October 2024
  • Thumbnail for Equidistribution theorem
    criterion reduces the problem to summing finite geometric series. Diophantine approximation Low-discrepancy sequence Dirichlet's approximation theorem Three-gap...
    6 KB (706 words) - 11:16, 5 January 2025
  • Thumbnail for Square root of 2
    to distinguish it from the negative number with the same property. Geometrically, the square root of 2 is the length of a diagonal across a square with...
    42 KB (6,131 words) - 00:35, 25 June 2025
  • Thumbnail for Strähle construction
    Strähle's construction is a geometric method for determining the lengths for a series of vibrating strings with uniform diameters and tensions to sound...
    36 KB (4,987 words) - 00:41, 20 March 2024