common divisor
Hardware Implementation of Greatest Common Divisor using subtractor in Euclid Algorithm
... This paper proposed an efficient implementation of digital circuit based on the Euclidean Algorithm with modular arithmetic to find Greatest Common Divisor (GCD) of two Binary Numbers given as input to the ...
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A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials
... The need to calculate the points of intersection of two polynomial curves p(x, y) = 0 and q(x, y) = 0 arises frequently in computer aided geometric design (CAGD), and an important part of this calculation is the ...
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Nearest common root of polynomials, approximate greatest common divisor and the structured singular value
... greatest common divisor (GCD) of two polynomials a(s) and b(s) is a non- generic problem, in the sense that a generic pair of polynomials is co-prime, ...greatest common divisor equal to ...
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Matrix representation of the shifting operation and numerical properties of the ERES method for computing the greatest common divisor of sets of many polynomials
... The Extended-Row-Equivalence and Shifting (ERES) method is a matrix- based method developed for the computation of the greatest common divisor (GCD) of sets of many polynomials. In this paper we present the ...
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Approximate greatest common divisor of many polynomials and pseudo-spectrum
... Karcanias, N., Fatouros, S., Mitrouli, M., and Halikias, G. (2006). Approximate Greatest Common Divisor of many polynomials, generalised resultants and strength of approximation. Comp. Math. Appl., 51, ...
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The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials
... This paper considers the computation of the degree t of an approximate greatest common divisor d(y) of two Bernstein polynomials f (y) and g(y), which are of degrees m and n respectively. The value of t is ...
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Revisiting Orthogonal Lattice Attacks on Approximate Common Divisor Problems and their Applications
... Abstract. In this paper, we revisit three existing types of orthogonal lattice (OL) attacks and propose optimized cases to solve approximate common divisor (ACD) problems. In order to reduce both space and ...
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Singular value decomposition and structures total least norm for approximate greatest common divisor of unvariate polynomials
... Euclid’s algorithm yields the correct GCD of a set of polynomials if they are known exactly and symbolic computation is used (Lecumberri et al., 2009). Nonetheless, as explained previously, most of the input data emerges ...
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On Greatest Common Divisor and its Application for a Geometrical Structure
... ℕ = {1,2,3,…}, ℤ = {0, 1, 2, 3,…} are sets of natural numbers and integers respectively. A nonzero integer b is a divisor (factor) of ∈ℤ if =kb for some k ∈ ℤ and in this case we write b| and in this case ...
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Chapter-04slide.ppt
... Problem: Write a program that prompts the user to enter two positive integers and finds their greatest common divisor. Solution: Suppose you enter two integers 4 and 2, their greatest[r] ...
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The Fermat S-Prime Meet Matrices and Reciprocal Fermat S-Prime Meet Matrices on Posets
... Abstract. We consider fermat S-prime meet matrices and reciprocal fermat S–prime meet matrices on posets as an abstract generalization of fermat S-prime greatest common divisor (fermat S-prime GCD) ...
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Computing Approximation GCD of Several Polynomials by Structured Total Least Norm
... Greatest Common Divisor of Many Poly- nomials, Generalised Resultants, and Strength of Appro- ximation,” Computers & Mathematics with Applications, ...
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One-prime power hypothesis for conjugacy class sizes
... As Taeri comments, B(G) having no cycle of length 4 is equivalent to G satisfying the one-prime power hypothesis, that is, if m and n are distinct non-trivial conjugacy class sizes of G then either m and n are coprime or ...
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The Cyclic Decomposition of the Factor Group cf(Q2m×D5,Z) /R ¯(Q2m×D5) when m = p, p?2, is prime number
... Divisor over principal ideal domain, we can form the greatest common divisor (g.c.d) of all the k-th order minors of A, it is called the k-th determinant divisor of A and den[r] ...
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On bipartite divisor graph for character degrees
... Let G be a finite group and Irr(G) be the set of all irreducible complex characters of G. We write cd(G) = { χ(1) | χ ∈ Irr(G) } to denote the set of all character degrees of G, and we use cd ∗ (G) for the set cd(G) \ { ...
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Numerical and Symbolical Methods for the GCD of Several Polynomials
... The computation of the Greatest Common Divisor (GCD) of a set of polynomials is an important issue in computational mathematics and it is linked to Control Theory very strong. In this paper we present ...
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Sum Square Prime Labeling for Some Path Related Graphs
... greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor(gcd) of the labels of the incident ...
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Vol 9, No 2 (2018)
... greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident ...
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A note on Cubic Difference Prime Labeling
... greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident ...
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The k Zero Divisor Hypergraph of a Commutative Ring
... [6] D. F. Anderson, A. Frazier, A. Lauve, and P. S. Livingston, “The zero-divisor graph of a com- mutative ring. II,” in Ideal Theoretic Methods in Commutative Algebra (Columbia, MO, 1999), vol. 220 of Lecture ...
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