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Integer-valued polynomial

Known as: Integral-valued polynomial, Bunyakovsky property, Integer valued polynomial 
In mathematics, an integer-valued polynomial (also known as a numerical polynomial) P(t) is a polynomial whose value P(n) is an integer for every… 
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Related topics

Related topics

6 relations
Arithmetic combinatoricsBasis (linear algebra)CoefficientK-regular sequence

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
On the derivatives of the integer-valued polynomials
In this paper, we study the derivatives of an integer-valued polynomial of a given degree. Denoting by $E_n$ the set of the… 
2017
2017
An SDP-based Method for the Real Radical Ideal Membership Test
Let V be the set of real solutions of a system of multivariate polynomial equations with real coefficients. The real radical… 
2016
2016
Fixed Point Solutions of Belief Propagation
Belief propagation (BP) is an iterative method to perform approximate inference on arbitrary graphical models. Whether BP… 
2015
2015
Facial Reduction and SDP Methods for Systems of Polynomial Equations
The real radical ideal of a system of polynomials with finitely many complex roots is generated by a system of real polynomials… 
2015
2015
CAD Numerical-Polynomial Refinements in Vertebral Bone Surface with Geometrical Data Development for Surgical Devices Design
The bioengineering design of surgical instrumentation to exert forces and torques/moments on bones/tissues during operations… 
2011
2011
Integer-valued polynomials, $t$-closure, and associated primes
Given an integral domain $D$ with quotient field $K$, the ring of integer-valued polynomials on D is the subring $\{f (X) \in K[X… 
2011
2011
Biring and plethory structures on integer-valued polynomial rings
Let A and B be commutative rings with identity. An A-B-biring is an A-algebra S together with the structure on S of a B-algebra… 
2009
2009
Regularization and Matrix Computation in Numerical Polynomial Algebra
Numerical polynomial algebra emerges as a growing field of study in recent years with a broad spectrum of applications and many… 
2009
2009
Generalizations of Dedekind domains and integer-valued polynomials
This talk will provide a snapshot of contemporary commutative algebra. In classical commutative algebra and algebraic number… 
2000
2000
Numerical Polynomial Algebra : Concepts and Algorithms
In this expository lecture, we explain how problems of classical polynomial algebra may be understood and numerically solved when… 
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