Results 211 to 220 of about 56,399 (238)
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Diophantine equations with truncated binomial polynomials
Indagationes Mathematicae, 2016Abstract For positive integers k ≤ n let P n , k ( x ) : = ∑ j = 0 k n j x j be the binomial expansion of ( 1 + x ) n truncated at the k th stage. In this paper we show the finiteness of solutions of Diophantine equations of type P n , k ( x ...
Dijana Kreso, Artūras Dubickas
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Polynomial expressions for non-binomial structures
Theoretical Computer Science, 2019Abstract Following recent paper of the author about polynomial expressions with respect to binomial ideals, the current paper is devoted to the non-binomial case. Beside the established facts in the underlying theory, the correctness and termination of the algorithms are addressed.
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Rings of power series in the binomial polynomials
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2008The study of the ring of all formal series $a_{0}+a_{1}\binom{x}{1}+a_{2} \binom{x}{2}+\cdots$ with integer coefficients, denoted by $\mathbb{Z}[\hspace{-1.6pt}[\binom{x}{1},\binom{x}{2},\dots]\hspace{-1.6pt}]$ , or $\mathbb{Z}[\hspace{-1.6pt}[\binom{x}{n}]\hspace{-1.6pt}]_{n\geq0}$ for short, is motivated by the elementary number theoretical ...
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Sequences of polynomials of fractional binomial type
Linear and Multilinear Algebra, 1977Sequences of polynomials which satisfy a binomial theorem involving fractional binomial coefficients can be characterized as umbral left inverses of singular sequences of binomial type.
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The Galois Group of a Binomial Polynomial [PDF]
Proceedings of the London Mathematical Society, 1953 openaire +1 more source
Polynomial Sequences of Binomial Type Path Integrals
Annals of Combinatorics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From local explanations to global understanding with explainable AI for trees
Nature Machine Intelligence, 2020Scott M Lundberg +2 more
exaly
Polynomials with the Binomial Property
The American Mathematical Monthly, 1957openaire +2 more sources