Results 41 to 50 of about 385,134 (275)
Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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Algebraic $S$-integers of fixed degree and bounded height [PDF]
, 2014 Let $k$ be a number field and $S$ a finite set of places of $k$ containing the archimedean ones. We count the number of algebraic points of bounded height whose coordinates lie in the ring of $S$-integers of $k$.
Barroero, Fabrizio
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Final algebras, cosemicomputable algebras, and degrees of unsolvability
Theoretical Computer Science, 1987 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moss, Lawrence S. +2 more
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Quartic points on the Fermat quintic [PDF]
, 2017 In this paper, we study the algebraic points of degree $4$ over $\mathbb{Q}$ on the Fermat curve $F_5/\mathbb{Q}$ of equation $x^5+y^5+z^5=0$. A geometrical description of these points has been given in 1997 by Klassen and Tzermias.
Kraus, Alain
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 Since Geronimo Cardano, algebraic equations of degree 4 have been solved analytically. Frequently, the solution algorithm is given in its entirety. We discovered two algorithms that lead to the same resolvente, each with two solutions; therefore, six ...
Norbert Südland +2 more
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THE SIMILARITY DEGREE OF SOME -ALGEBRAS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe define the class of weakly approximately divisible unital${C}^{\ast } $-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any${C}^{\ast } $-algebra, and quotients. A nuclear${C}^{\ast } $-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations ...
Hadwin, Don, Li, Weihua
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Similarity Sorting Method for Retrieval Results of Linear Algebra Formula [PDF]
Jisuanji gongcheng, 2018 Compared with the general mathematical formula,linear algebra formula has more complex structure and richer syntax and semantics,so it is more difficult to achieve its retrieval.Through the analysis of linear algebraic retrieval,several matching modes of
SUN Mengying,TIAN Xuedong
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The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
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Low pole order frames on vertical jets of the universal hypersurface [PDF]
, 2008 Of the two techniques introduced by Bloch, Green-Griffiths and developed by Siu, Demailly to establish Kobayashi hyperbolicity of generic high degree complex algebraic hypersurfaces X in P^(n+1), the second one, initiated by Clemens, Ein, Voisin and ...
Merker, Joel
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Explicit algebraic solution of Zolotarev's First Problem for low-degree polynomials
Journal of Numerical Analysis and Approximation Theory, 2019 E.I. Zolotarev's classical so-called First Problem (ZFP), which was posed to him by P.L. Chebyshev, is to determine, for a given \(n\in{\mathbb N}\backslash\{1\}\) and for a given \(s\in{\mathbb R}\backslash\{0\}\), the monic polynomial solution \(Z ...
Heinz Joachim Rack, Robert Vajda
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