نتایج جستجو برای: generalized gcd domain

تعداد نتایج: 566578  

2011
László Tóth

We investigate weighted gcd-sum functions, including the alternating gcd-sum function and those having as weights the binomial coefficients and values of the Gamma function. We also consider the alternating lcm-sum function.

1998
Paulina Chin Robert M. Corless George F. Corliss

We describe algorithms for computing the greatest common divisor (GCD) of two univariate polynomials with inexactly-known coeecients. Assuming that an estimate for the GCD degree is available (e.g., using an SVD-based algorithm), we formulate and solve a nonlinear optimization problem in order to determine the coeecients of the \best" GCD. We discuss various issues related to the implementation...

M. Adabitabar ‎Firozja‎, S. ‎Firouzian‎

It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, i...

Journal: :Formalized Mathematics 2018

2015
Victor Kim Michelle Oros Heba Durra Steven Kelsen Mark Aksoy William D. Cornwell Thomas J. Rogers Gerard J. Criner

BACKGROUND Goblet cell hyperplasia is a classic but variable pathologic finding in COPD. Current literature shows that smoking is a risk factor for chronic bronchitis but the relationship of these clinical features to the presence and magnitude of large airway goblet cell hyperplasia has not been well described. We hypothesized that current smokers and chronic bronchitics would have more goblet...

Journal: :Applied Mathematics and Computer Science 2007
Panagiotis Tzekis Nicholas P. Karampetakis Haralambos K. Terzidis

An interesting problem of algebraic computation is the computation of the greatest common divisor (GCD) of a set of polynomials. The GCD is usually linked with the characterisation of zeros of a polynomial matrix description of a system. The problem of finding the GCD of a set of n polynomials on R[x] of a maximal degree q is a classical problem that has been considered before (Karcanias et al....

2005

In this article, we prove the existence and uniqueness of a certain distribution function on the unit interval. This distribution appears in Brent's model of the analysis of the binary gcd algorithm. The existence and uniqueness of such a function has been conjectured by Richard Brent in his original paper [1]. Donald Knuth also supposes its existence in [4] where developments of its properties...

Journal: :J. Symb. Comput. 1996
Paul S. Wang

1 SMP-based parallel algorithms and implementations for polynomial factoring and GCD are overviewed. Topics include polynomial factoring modulo small primes, univariate and multivariate p-adic lifting, and reformulation of lift basis. Sparse polynomial GCD is also covered.

Journal: :Discrete Mathematics 2002
Yair Caro Raphael Yuster

A family of graphs possesses the common gcd property if the greatest common divisor of the degree sequence of each graph in the family is the same. In particular, any family of trees has the common gcd property. Let F = {H1, . . . ,Hr} be a family of graphs having the common gcd property, and let d be the common gcd. It is proved that there exists a constant N = N(F ) such that for every n > N ...

2013
S. Murugesan D. Jayaraman

A 3-equitable prime cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, ..., |V |} such that if an edge uv is assigned the label 1 if gcd(f(u), f(v)) = 1 and gcd(f(u) + f(v), f(u)−f(v)) = 1, the label 2 if gcd(f(u), f(v)) = 1 and gcd(f(u) + f(v), f(u)− f(v)) = 2 and 0 otherwise, then the number of edges labeled with i and the number of edges labeled with j differ b...

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