Results 71 to 80 of about 52,649 (219)
Exact Representation of Real Algebraic Number by Approximations and Its Applications
工程科学与技术, 2010 :In order to make sure that the binary expansions of real algebraic numbers do not form secure pseudorandom sequences, a new algorithm was proposed to obtain the exact minimal polynomial from an approximate real algebraic number.
Qin Xiaolin +3 more
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RESEARCH ON NUMBER THEORY AND SMARANDACHE NOTIONS [PDF]
, 2010 This Book is devoted to the proceedings of the Sixth International Conference on Number Theory and Smarandache Notions held in Tianshui during April 24-25, 2010.
Wenpeng, Zhang
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Journal of Combinatorial Theory, Series B, 2016 Given a finite point set $P \subset \mathbb{R}^d$, a $k$-ary semi-algebraic relation $E$ on $P$ is the set of $k$-tuples of points in $P$, which is determined by a finite number of polynomial equations and inequalities in $kd$ real variables. The description complexity of such a relation is at most $t$ if the number of polynomials and their degrees are
openaire +5 more sources
Algebraic geometry proceedings of Bilkent Summer School [PDF]
, 1997 This timely resource - based on the Summer School on Algebraic Geometry held recently at Bilkent University, Ankara, Turkey - surveys and applies fundamental ideas and techniques in the theory of curves, surfaces, and threefolds to a wide variety of ...
Algebraic Geometry Summer School 1995 Ankara +1 more
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Sequences of Residues in Algebraic Number Fields [PDF]
, 1995 We define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least positive number such that for almost all prime ideals p there are m consecutive nth power residues in the algebraic number field F with norm less than ΛF(n, m)[F : Q]
Naranjani, A.M.
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Zero-dimensional families of polynomial systems
Le Matematiche, 2013 If a real world problem is modelled with a system of polynomial equations, the coefficients are in general not exact. The consequence is that small perturbations of the coefficients may lead to big changes of the solutions.
Lorenzo Robbiano, Maria-Laura Torrente
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, 1991 This thesis investigates various theorems on polynomials over the rationals, algebraic numbers, algebraic integers, and quadratic fields. The material selected in this study is more of a number theoretical aspect than that of an algebraic structural ...
Hartsell, Melanie Lynne
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Algebraic Geometry and Number Theory Summer School [PDF]
, 2017 This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory
Zeytin, Ayberk +3 more
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SIRD:An Algorithm for Simultaneous Integer Relations Detection
工程科学与技术, 2012 :In order to reduce the hyperplane matrix when detecting simultaneous integer relations for several real vectors, a generalized Hermite reduction was presented.
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