Results 41 to 50 of about 599,891 (278)

Analytic curves in algebraic varieties over number fields

, 2007
We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to derive a rationality criterion for formal germs of functions, which extends the classical rationality theorems of Borel-Dwork and P\'
A Franchetta, B Dwork, C P Ramanujam, D G Cantor, D Harbater, D Mumford, D V Chudnovsky, D V Chudnovsky, E Kani, G Eisenstein, G Pólya, H Hironaka, H Hironaka, H Matsumura, H Randriambololona, J Fresnel, J.-B. Bost, J.-B. Bost, J.-B. Bost, J.-B. Bost, J.-P. Serre, L Bădescu, L Moret-Bailly, L Moret-Bailly, M Raynaud, M van der Put, P Graftieaux, P Graftieaux, R Hartshorne, R Hartshorne, R Rumely, R S Rumely, S Bosch, S Bosch, S Bosch, V G Berkovich, W Gubler, Y Amice, Y André, Y Ihara, Yu. I. Manin, É Borel   +41 more
core   +5 more sources

Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]

Michigan Mathematical Journal, 1986
Die Verff. wenden eine in zwei früheren Arbeiten [vgl. \textit{E. Bombieri}, Acta Math. 148, 255-296 (1982; Zbl 0505.10015) und Verff., J. Reine Angew. Math. 342, 173-196 (1983; Zbl 0516.10024)] entwickelte Methode an, um eine algebraische Zahl durch algebraische Zahlen aus einem passenden reellen algebraischen Zahlkörper effektiv abzuschätzen.
Bombieri, E., Mueller, J.
openaire   +3 more sources

An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition

International Journal of Mathematics and Mathematical Sciences, 2012
A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
doaj   +1 more source

An improved peak-selection algorithm using block-based recurrence Cholesky decomposition for mesh deformation

AIP Advances, 2021
An improved peak-selection algorithm is proposed for mesh deformation. With the use of the newly derived block-based recurrence Cholesky (BRC) decomposition scheme, the computational complexity for solving the linear algebraic system in the data reducing
Jing Liu, Hong Fang, Fanli Shan, Shu Li, He Zhang   +4 more
doaj   +1 more source

On two notions of complexity of algebraic numbers

, 2007
we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number.
Bugeaud, Yann, Evertse, Jan-Hendrik
core   +2 more sources

Algebraic winding numbers

Journal of Algebra
In this paper, we propose a new algebraic winding number and prove that it computes the number of complex roots of a polynomial in a rectangle, including roots on edges or vertices with appropriate counting. The definition makes sense for the algebraic closure C = R[i] of a real closed field R, and the root counting result also holds in this case.
Perrucci, Daniel, Roy, Marie-Françoise
openaire   +4 more sources

Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]

Épijournal de Géométrie Algébrique, 2019
We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
doaj   +1 more source

Knots with unknotting number 1 and essential Conway spheres

, 2006
For a knot K in S^3, let T(K) be the characteristic toric sub-orbifold of the orbifold (S^3,K) as defined by Bonahon and Siebenmann. If K has unknotting number one, we show that an unknotting arc for K can always be found which is disjoint from T(K ...
Bleiler, Cameron McA Gordon, Conway, Culler, Eudave-Muñoz, Gordon, Gordon, Gordon, Jaco, John Luecke, Kanenobu, Kirby, Kobayashi, Kohn, Lickorish, Menasco, Menasco, Montesinos, Motegi, Nakanishi, Scharlemann, Sundberg, Thistlethwaite, Tollefson, Wu, Zhang   +25 more
core   +3 more sources

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Effective Irrationality Measures and Approximation by Algebraic Conjugates

, 2010
In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers.
Voutier, Paul
core   +1 more source