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# Bernstein–Sato polynomial

Known as: B-function, Bernstein-Sato polynomial, B-function lemma
In mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Bernstein () and Sato… Expand
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## Papers overview

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Highly Cited
2016
Highly Cited
2016
• Nature Methods
• 2016
• Corpus ID: 31873977
With four parameters I can fit an elephant and with five I can make him wiggle his trunk.—John von Neumann
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2010
2010
• J. Symb. Comput.
• 2010
• Corpus ID: 11786771
Let k be a field of characteristic 0. Given a polynomial mapping f=(f"1,...,f"p) from k^n to k^p, the local Bernstein-Sato ideal… Expand
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2007
2007
In characteristic zero, the Bernstein-Sato polynomial of a hypersurface can be described as the minimal polynomial of the action… Expand
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2007
2007
• 2007
• Corpus ID: 118500893
Dans cet article nous decrivons un ensemble de racines du polynome de Bernstein-Sato associees a un germe de fonction analytique… Expand
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2005
2005
Let Q ∈ C[x1, . . . , xn] be a homogeneous polynomial of degree k > 0. We establish a connection between the Bernstein-Sato… Expand
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2005
2005
• 2005
• Corpus ID: 14220057
We give a combinatorial description of the roots of the Bernstein–Sato polynomial of a monomial ideal using the Newton polyhedron… Expand
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2003
2003
Given $p$ polynomials with coefficients in a commutative unitary integral ring $\mathcal{C}$ containing $\mathbb{Q}$, we define… Expand
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Highly Cited
2001
Highly Cited
2001
Designing metacognitive activities that focus on both cognitive and social development is a theoretical and practical challenge… Expand
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Highly Cited
1996
Highly Cited
1996
SummaryWe consider a Lévy process Xt and the solution Yt of a stochastic differential equation driven by Xt; we suppose that Xt… Expand
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Highly Cited
1991
Highly Cited
1991
• IEEE Trans. Communications
• 1991
• Corpus ID: 3932714
The existence of stable undesirable equilibria for the Godard algorithm is demonstrated through a simple autoregressive (AR… Expand
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