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• ...a [[sequence]] which is of interest. Therefore the power series (i.e. the generating function) is $c_0 + c_1 x + c_2 x^2 + \cdots$ and the sequence ...and $B$ is the generating function for $b$, then the generating function for $c$ is $AB$.
3 KB (476 words) - 10:55, 9 November 2017
• #REDIRECT [[Generating function]]
33 bytes (3 words) - 12:35, 6 July 2007

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• ...counting problems can be approached by a variety of techniques, such as [[generating functions]] or the [[Principle of Inclusion-Exclusion|principle of inclusio
716 bytes (92 words) - 23:01, 22 April 2020
• * [[Generating function]]
3 KB (566 words) - 20:27, 21 June 2020
• ...k Tiefenbruck]] and is supported by the [[San Diego Math Circle]]. [[user:generating | Andy Niedermaier]] was a coach for 2007-2009, and [[user:MCrawford | Math
2 KB (378 words) - 16:34, 5 January 2010
• ...a [[sequence]] which is of interest. Therefore the power series (i.e. the generating function) is $c_0 + c_1 x + c_2 x^2 + \cdots$ and the sequence ...and $B$ is the generating function for $b$, then the generating function for $c$ is $AB$.
3 KB (476 words) - 10:55, 9 November 2017
• The [[Sieve of Eratosthenes]] is a relatively simplistic [[algorithm]] for generating a list of the first few prime numbers. It is a method in which the multiple The Sieve of Sundaram is a relatively simplistic [[algorithm]] for generating all odd prime numbers, less than $2n+2$. It is a method by which
6 KB (925 words) - 19:49, 12 August 2020
• ..._i=C_{i-1}+4i[/itex], and note that $C_0=1$. Now we can create generating functions. $F(x)=\sum_{i=0}^\infty C_ix^i$. Also, $G(x)=\ 7 KB (1,276 words) - 21:16, 31 March 2018 • Alternatively, we can use a [[generating function]] to solve this problem. The goal is to find the generating function for the number of unique terms in the simplified expression (in te 7 KB (1,182 words) - 15:06, 19 June 2018 • * [[Generating functions]] 536 bytes (46 words) - 14:36, 8 December 2007 • ...for each of the terms, and obtain [itex](x+x^3+x^5\cdots)^4$ as the generating function for the sum of the $4$ numbers. We seek the $x^{98 4 KB (549 words) - 14:02, 6 July 2020 • ...+1}$, $M\geq 0$ be the length of the longest jump made in generating $J_{i_0,k_0}$. Such a jump can only be made from a number that i
7 KB (1,280 words) - 17:23, 26 March 2016
• == Generating Subset == ...ubset is said to be ''minimal'' if on removing any element it ceases to be generating.
3 KB (561 words) - 00:47, 21 March 2009
• * [[Generating functions]]
735 bytes (70 words) - 14:25, 8 December 2007
• We use [[generating function]]s to represent the sum of the two dice rolls: <center>$(x+x^ 1 KB (210 words) - 20:10, 5 January 2008 • ...n if two squares in the row are shaded, then the row is represented by the generating function [itex]ab+ac+ad+bc+bd+cd$, which we can write as $P(a,b, 14 KB (2,337 words) - 21:13, 9 June 2019 • We can apply the concept of generating functions here. ...function for the next 5 games is [itex](1 + x)^{5}$. Thus, the total generating function for number of games he wins is
6 KB (983 words) - 15:47, 22 March 2018
• * [[Generating function]]
1 KB (251 words) - 15:13, 11 August 2020
• The [[generating function]] for $a, b, c,$ and $d$ is $x+x^2+x^3+ 1 KB (172 words) - 09:56, 18 June 2008 • ...[Jacobi theta function]], in particular the [[Jacobi triple product]]. The generating function approach and the theta function approach can be used to study many == Generating Functions == 10 KB (1,508 words) - 14:24, 17 September 2017 • ...math> to [itex]M(X)$, and let $(u_{i},v_i)_{i\in I}$ be a generating set of the equivalence relation $R(x,y)$ defined as $f(x) = 4 KB (887 words) - 13:19, 6 July 2016 • '''Corollary 4.''' Let [itex]X$ be a generating subset of $G$. Then $D(G)$ is the normal subgroup ge
4 KB (688 words) - 20:11, 28 May 2008

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