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- ...Cite web |last=Oliveira |first=Rafael |date=May 20, 2021 |title=Lecture 4: Balls & Bins |url=https://cs.uwaterloo.ca/~r5olivei/courses/2021-spring-cs466/lec ...the bin is selected at random, or at least partially at random. A powerful balls-into-bins paradigm is the "power of two random choices<ref name=":0">{{Cit ...13 KB (2,033 words) - 08:04, 31 May 2024
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- ...s of <math>B(X,d)=X\times\mathbb{R}</math> are known as generalized formal balls. Formal balls possess a [[partial order]] <math>\leq</math> defined by <math>(x,r) \leq ( ...2 KB (277 words) - 23:01, 29 October 2024
- ...erve lemma]], the Čech complex is homotopy equivalent to the union of the balls, also known as the [[offset filtration]].<ref name = ghrist>{{Cite book|tit ...s a guarantee that the Čech complex is homotopy equivalent to union of the balls in the complex. The Vietoris-Rips complex may not be.<ref name = ghrist/> ...2 KB (308 words) - 00:51, 5 December 2024
- [[File:Hamming ball.svg|thumb|270px|Hamming balls centered at the string "cab" with radius 1 (orange vertices and center), 2 ...codewords,{{r|ch}} and [[covering code]]s can be defined as having Hamming balls around the codeword whose union is the whole Hamming space.{{r|ksat}} ...3 KB (500 words) - 03:52, 2 March 2025
- ...= 56–57| year = 1995 |bibcode = 1995PhTea..33...56M }}</ref> to align the balls. ...52563 }}</ref> In this device, a heavy wire is threaded through all of the balls to keep them accurately aligned - but the principle is the same. The result ...6 KB (848 words) - 17:23, 22 December 2024
- ...used in automobile [[gearbox]]es. However, in order to eliminate backlash, balls and axles are used instead of gears. All the [[transmission (mechanics)|tra ...enter of the holder shelf and is pushed and tightened by three surrounding balls. The fine focusing knob connects to the input axle while the fast focusing ...3 KB (494 words) - 08:40, 15 February 2024
- ...)</math> and <math>\mathfrak{A}_1, \mathfrak{B}_1</math> denote their unit balls, respectively, the ''Kadison–Kastler'' distance between them is defined as, ...2 KB (250 words) - 20:16, 12 August 2019
- ...n-1}) \to (B^n, S^{n-1})</math> to boundary-sphere-preserving maps between balls in a [[Banach space]] <math> f: (B(V), S(V)) \to (B(V), S(V))</math>, assum ...2 KB (237 words) - 14:20, 18 September 2024
- ...is customary to define the density as the limit of densities exhibited in balls of larger and larger radii. If {{math|''B''<sub>''t''</sub>}} is the ball o ...al to the packing constant, and this packing constant does not vary if the balls in the definition of density are replaced by dilations of some other convex ...4 KB (623 words) - 22:45, 21 June 2022
- ...of the [[Euclidean space]] '''R'''<sup>''N''</sup> by [[ball (mathematics)|balls]] such that each point of ''E'' is the center of some ball in the cover. ...n '''F''' such that each collection ''A''<sub>i</sub> consists of disjoint balls, and ...5 KB (821 words) - 09:01, 8 December 2024
- ...tion of ''M'' as the disjoint union of cells (spaces homeomorphic to ''n''-balls ''B<sup>n</sup>''). * Cells look like balls: For any <math>n\in\mathbb N_0</math> and for any <math>e\in \deg^{-1}(n)</ ...2 KB (302 words) - 14:51, 8 May 2024
- ...'''entropy''' of <math>T</math> is the logarithm of the minimum number of balls of radius <math>\epsilon</math> required to cover <math>T</math>. Dudley's ...d, \epsilon)</math> is the [[covering number]], i.e. the minimum number of balls of radius <math>\epsilon</math> with respect to the metric <math>d</math> t ...2 KB (311 words) - 11:40, 1 January 2024
- ...owls again, conceding a further 20 runs from 5.5 overs (i.e. 5 overs and 5 balls), then overall they have conceded 51 runs from 16.1 overs, so their overall ...4 KB (650 words) - 14:32, 23 February 2025
- Balls hit hard (i.e. with a high [[exit velocity]]) in the [[sweet spot (sports)| * ''NIBB'' = ''[[Base on balls|<u>Non-intentional</u> bases on balls]]'' ...7 KB (1,032 words) - 17:47, 4 July 2024
- ...y)|intersection]] of every [[decreasing sequence]] of [[Ball (mathematics)|balls]] (in the sense of the metric induced by the absolute value) is nonempty:<r ...belian group: (''K'',''v'') is spherically complete if every collection of balls that is totally ordered by inclusion has a nonempty intersection. ...2 KB (334 words) - 19:37, 6 September 2024
- ...rent sizes. The sets are often called "boxes" and the elements are called "balls". The first player, ''BoxMaker'', picks ''p'' balls (from the same or different boxes). Then the second player, ''BoxBreaker'', ...3 KB (551 words) - 17:58, 4 October 2024
- ...e basic Pólya urn model, the experimenter puts ''x'' white and ''y'' black balls into an urn. At each step, one ball is drawn uniformly at random from the u ...ore likely for more black balls to be drawn later. Similarly for the white balls. Thus the urn has a self-reinforcing property ("[[the rich get richer]]"). ...16 KB (2,703 words) - 11:14, 2 December 2024
- ...of red balls while containing the random number <math>X+\beta</math> blue balls. ...or) and <math>r</math> blue balls and stopping when <math>\beta</math> red balls are observed. ...10 KB (1,483 words) - 16:29, 5 November 2024
- ...Cite web |last=Oliveira |first=Rafael |date=May 20, 2021 |title=Lecture 4: Balls & Bins |url=https://cs.uwaterloo.ca/~r5olivei/courses/2021-spring-cs466/lec ...the bin is selected at random, or at least partially at random. A powerful balls-into-bins paradigm is the "power of two random choices<ref name=":0">{{Cit ...13 KB (2,033 words) - 08:04, 31 May 2024
- ...the urn always contains the fixed number <math>x_0+\alpha_0</math> of red balls while containing the random number <math>\mathbf{X}+\boldsymbol{\alpha}</ma ...10 KB (1,556 words) - 21:40, 27 August 2023
- ...]. Two related concepts are the ''packing number'', the number of disjoint balls that fit in a space, and the ''metric entropy'', the number of points that ...6 KB (1,023 words) - 22:51, 12 February 2025