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• 2007 AIME I Problems/Problem 10
  ...n if two squares in the row are shaded, then the row is represented by the generating function <math>ab+ac+ad+bc+bd+cd</math>, which we can write as <math>P(a,b,
  13 KB (2,328 words) - 00:12, 29 November 2023
• AoPS Wiki:Words of the Week
  * [[Generating function]] (diff: [http://www.artofproblemsolving.com/Wiki/index.php?title=
  11 KB (1,427 words) - 16:25, 9 May 2021
• 2006 AIME II Problems/Problem 10
  We can apply the concept of generating functions here. ...function for the next 5 games is <math>(1 + x)^{5}</math>. Thus, the total generating function for number of games he wins is
  6 KB (983 words) - 13:42, 8 December 2021
• Lucas' Theorem
  * [[Generating function]]
  1 KB (251 words) - 15:13, 11 August 2020
• Talk:AMC historical results
  ...urweek=[[Asymptote (Geometry)]]<br />[[AMC historical results]]|nextweek=[[Generating function]]<br />[[American Regions Mathematics League]]}}
  658 bytes (101 words) - 18:40, 20 February 2018
• Talk:Asymptote (geometry)
  ...urweek=[[Asymptote (Geometry)]]<br />[[AMC historical results]]|nextweek=[[Generating function]]<br />[[American Regions Mathematics League]]}}
  258 bytes (28 words) - 20:07, 3 December 2007
• Talk:Generating function
  ...revweek=[[Asymptote (Geometry)]]<br />[[AMC historical results]]|curweek=[[Generating function]]<br />[[American Regions Mathematics League]]|nextweek=[[Concurre
  228 bytes (26 words) - 19:57, 23 November 2007
• Talk:American Regions Mathematics League
  ...revweek=[[Asymptote (Geometry)]]<br />[[AMC historical results]]|curweek=[[Generating function]]<br />[[American Regions Mathematics League]]|nextweek=[[Concurre
  228 bytes (26 words) - 19:58, 23 November 2007
• Talk:Concurrence
  {{WotW|week=Nov 22-28|prevweek=[[Generating function]]<br />[[American Regions Mathematics League]]|curweek=[[Concurren
  654 bytes (102 words) - 16:34, 18 December 2013
• Talk:Intel Science Talent Search
  {{WotW|week=Nov 22-28|prevweek=[[Generating function]]<br />[[American Regions Mathematics League]]|curweek=[[Concurren
  214 bytes (25 words) - 22:55, 15 February 2008
• 2005 Alabama ARML TST Problems/Problem 12
  The [[generating function]] for <math>a, b, c,</math> and <math>d</math> is <math>x+x^2+x^3+
  1 KB (172 words) - 09:56, 18 June 2008
• Partition (combinatorics)
  ...[Jacobi theta function]], in particular the [[Jacobi triple product]]. The generating function approach and the theta function approach can be used to study many == Generating Functions ==
  10 KB (1,508 words) - 14:24, 17 September 2017
• 2008 AIME I Problems/Problem 9
  ==Solution 3 (Generating Functions)== We can model this as the generating function <cmath>\left(x^3+x^4+x^6\right)^{10}</cmath> where we want the coe
  6 KB (909 words) - 15:39, 8 August 2022
• Free magma
  ...math> to <math>M(X)</math>, and let <math>(u_{i},v_i)_{i\in I}</math> be a generating set of the equivalence relation <math>R(x,y)</math> defined as <math>f(x) =
  4 KB (887 words) - 13:19, 6 July 2016
• Derived group
  '''Corollary 4.''' Let <math>X</math> be a generating subset of <math>G</math>. Then <math>D(G)</math> is the normal subgroup ge
  4 KB (688 words) - 20:11, 28 May 2008
• 2008 Mock ARML 2 Problems/Problem 8
  ...the expansion of the coefficients of the product of two polynomials (or [[generating functions]]).
  1 KB (190 words) - 00:57, 31 May 2016
• Approximation Techniques
  ...s an applied discipline, mathematicians have developed various methods for generating approximate solutions to intractable problems. The utility of such methods
  2 KB (322 words) - 21:03, 11 February 2009
• Alternating permutation
  ...tangent]] numbers. These latter names are the result of the remarkable [[generating function]] (or equivalently [[Taylor series]]) [[identity]]
  2 KB (246 words) - 12:50, 6 August 2009
• Characteristic polynomial
  ..._{n-1} + \cdots + a_kG_{n-k}</math> be a linear recurrence. Consider the [[generating function]] given by
  19 KB (3,412 words) - 14:57, 21 September 2022
• 2003 AMC 12A Problems/Problem 22
  == Solution 2 (Generating Functions) == ...r horizontally is equally likely, we can write all the possible paths as a generating function:
  2 KB (321 words) - 08:40, 30 June 2023

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