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Further Applications of a Power Series Method for Pattern ...
The Electronic Journal of Combinatorics
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由 N Rampersad 著作2011被引用 20 次 — In particular, we show that any pattern with k k variables of length at least 4k 4 k is avoidable on the binary alphabet. This improves an ...
Further applications of a power series method for pattern ...
arXiv
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arXiv
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由 N Rampersad 著作2009被引用 20 次 — In combinatorics on words, a word w over an alphabet Sigma is said to avoid a pattern p over an alphabet Delta if there is no factor x of w and ...
Further applications of a power series method for pattern ...
ETH :: D-MATH
https://www2.math.ethz.ch › Volume_18 › PDF
ETH :: D-MATH
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Abstract. In combinatorics on words, a word w over an alphabet Σ is said to avoid a pattern p over an alphabet ∆ if there is no factor x of w and no ...
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The Electronic Journal of Combinatorics
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由 N Rampersad 著作2011被引用 20 次 — Further applications of a power series method. for pattern avoidance. Narad Rampersad. ∗. Department of Mathematics and Statistics. University of Winnipeg. 515 ...
Further applications of a power series method for pattern ...
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Further applications of a power series method for pattern avoidance. Rampersad, Narad · The Electronic Journal of Combinatorics [electronic only] (2011).
Further Applications of a Power Series Method for Pattern ...
Semantic Scholar
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Bell and Goh show that any pattern with $k$ variables of length at least $4^k$ is avoidable on the binary alphabet and improves an earlier bound due to ...
Further Applications of a Power Series Method for Pattern ...
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Bibliographic details on Further Applications of a Power Series Method for Pattern Avoidance.
Power Series Solutions I: Basic Computational Methods
The University of Alabama in Huntsville
https://howellkb.uah.edu › DEtext › Part5 › PSsoln1
The University of Alabama in Huntsville
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When a solution to a differential equation is analytic at a point, then that solution can be rep- resented by a power series about that point.
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Pattern-avoiding permutation powers
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由 A Burcroff 著作2020被引用 12 次 — Recently, Bóna and Smith defined strong pattern avoidance, saying that a permutation π strongly avoids a pattern τ if π and π 2 both avoid τ .
Power series solution using Leibniz-Maclaurin method of ...
Mathematics Stack Exchange
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2024年10月6日 — I'm trying to get a power series solution to the differential equation y″−xy=0,y(0)=1,y′(0)=2, using two different methods, expanding about x=0.
1 個答案 · 最佳解答: The problem is in converting derivatives to coefficients. Note that
dndxnxn=n!
so y(n+2)(0)−nyn−1(0)=0
means (n+2)!an+2−n(n−1)!an−1=0
...