Results 41 to 50 of about 10,381,547 (314)
Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields
Mathematics of Computation, 2012 . As a finite dimensional linear space over the rational number field Q , an algebraic number field is of particular importance and interest in mathematics and engineering.
B. Han, Xiaosheng Zhuang
semanticscholar +1 more source
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
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Visual and Symbolic Representations as Components of Algebraic Reasoning
Journal of Numerical Cognition, 2023 Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities.
Zehra E. Ünal +4 more
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The dual fuzzy matrix equations: Extended solution, algebraic solution and solution
AIMS Mathematics, 2023 In this paper, we propose a direct method to solve the dual fuzzy matrix equation of the form $ \mathbf{A}\widetilde{\mathbf{X}}+\widetilde{\mathbf{B}} = \mathbf{C}\widetilde{\mathbf{X}}+\widetilde{\mathbf{D}} $ with $ \mathbf{A} $, $ \mathbf{C ...
Zengtai Gong , Jun Wu, Kun Liu
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On the approximation to algebraic numbers by algebraic numbers
Glasnik Matematicki, 2009 Let n be a positive integer. Let ξ be an algebraic real number of degree greater than n. It follows from a deep result of W. M. Schmidt that, for every positive real number e, there are infinitely many algebraic numbers α of degree at most n such that |ξ−α| < H(α)−n−1+e, where H(α) denotes the naive height of α. We sharpen this result by replacing e by
openaire +2 more sources
The number of connected components of certain real algebraic curves
International Journal of Mathematics and Mathematical Sciences, 2001 For an integer n≥2, let p(z)=∏k=1n(z−αk) and q(z)=∏k=1n(z−βk), where αk,βk are real. We find the number of connected components of the real algebraic curve {(x,y)∈ℝ2:|p(x+iy)|−|q(x+iy)|=0} for some αk and βk.
Seon-Hong Kim
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Which canonical algebras are derived equivalent to incidence algebras of posets? [PDF]
Communications in Algebra 36 (2008), 4599-4606, 2007 We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.
arxiv +1 more source
Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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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
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Algebraic geometry in mixed characteristic [PDF]
arXiv, 2021 Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
arxiv