Results 61 to 70 of about 10,492,721 (271)
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 +4 more
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Journal of AlgebraIn 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
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Experimental Mathematics, 2022 We study the geometry of algebraic numbers in the complex plane, and their Diophantine approximation, aided by extensive computer visualization. Motivated by these images, called algebraic starscapes, we describe the geometry of the map from the coefficient space of polynomials to the root space, focussing on the quadratic and cubic cases. The geometry
Harriss, Edmund +2 more
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Algebraic and transcendental numbers [PDF]
Rendiconti del Circolo Matematico di Palermo, 1914 n ...
Bauer, G. N., Slobin, H. L.
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Algebraic Linear Analysis for Number Theoretic Transform in Lattice-Based Cryptography
Transactions on Cryptographic Hardware and Embedded SystemsThe topic of verifying postquantum cryptographic software has never been more pressing than today between the new NIST postquantum cryptosystem standards being finalized and various countries issuing directives to switch to postquantum or at least ...
Chun-Ming Chiu +5 more
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Number of components of the nullcone
, 2015 Answering the question of A. Joseph, for every pair $(G, V)$ where $G$ is a connected simple linear algebraic group and $V$ is a simple algebraic $G$-module with a free algebra of invariants, the number of irreducible components of the nullcone of ...
Popov, Vladimir L.
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Analysis of Students’ Misconceptions on Solving Algebraic Contextual Problem
Risenologi, 2021 Students misconceptions in solving contextual algebraic problems is still often found in this educational world. This study aims to describe the forms of student’s misconceptions in solving algebraic contextual problems and explain the causes of these ...
Faoza Saaroh +2 more
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Generalised Swan modules and the D(2) problem
, 2006 We give a detailed proof that, for any natural number n, each algebraic two complex over C_n \times C_\infty is realised up to congruence by a geometric complex arising from a presentation for the group.Comment: This is the version published by Algebraic
Bass +11 more
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School algebra and the computer [PDF]
, 1993 How are we to use the computer in the teaching and learning of algebra? In the longterm the new technology is introducing new possibilities that may radically change the algebra curriculum.
Tall, David
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On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree [PDF]
Acta Arithmetica, 1999 Define the absolute height of an algebraic number \(\beta\) by \(H(\beta)=|a_0|\prod_{i=1}^t\max (1,|\beta^{(i)}|)^{1/t}\), where \(t\) is the degree of \(\beta\), \(a_0\) is the leading coefficient of its minimal polynomial, and where \(\beta^{(1)}\ldots \beta^{(t)}\) are its conjugates. \textit{E. Wirsing} [Number Theory Institute 1969, Proc.
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