Results 41 to 50 of about 134,696 (267)
On the rational function field of real curves without real points
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 Let F be the field of rational functions of a real algebraic curve without real points. It is well-known that in F we can express -1 as a sum of two squares. We show that -1 is also a sum of four fourth powers, six sixth powers, and so on.
Manuel Ojanguren
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Neural-Network-Based Curve Fitting Using Totally Positive Rational Bases
Mathematics, 2020 This paper proposes a method for learning the process of curve fitting through a general class of totally positive rational bases. The approximation is achieved by finding suitable weights and control points to fit the given set of data points using a ...
Rocio Gonzalez-Diaz +3 more
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PICALM::MLLT10 translocated leukemia
FEBS Letters, EarlyView.This comprehensive review of PICALM::MLLT10 translocated acute leukemia provides an in‐depth review of the structure and function of CALM, AF10, and the fusion oncoprotein (1). The multifaceted molecular mechanisms of oncogenesis, including nucleocytoplasmic shuttling (2), epigenetic modifications (3), and disruption of endocytosis (4), are then ...
John M. Cullen +7 more
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On the distribution of ramification points in trigonal curves
International Journal of Mathematics and Mathematical Sciences, 1999 We study the distribution of the total and ordinary ramification points of a trigonal curve over the intersection of this curve with rational curves on a rational normal scroll.
Cícero F. Carvalho
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q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
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Bounded Rational Points on Curves [PDF]
International Mathematics Research Notices, 2014 We establish the sharp estimate <
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Uniformity of rational points [PDF]
Journal of the American Mathematical Society, 1997 Let \(K\) be a number field. A question addressed in this paper is the following: Given a family \(f:X\to B\) of curves defined over \(K\), how does the set of \(K\)-rational points of the fibres vary with \(b\in B\), and in particular, how does its cardinality behave as a function of \(b\)?
Caporaso, Lucia +2 more
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Structural biology of ferritin nanocages
FEBS Letters, EarlyView.Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
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FEBS Letters, EarlyView.This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
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Rational and singular points of a family of curves
Results in Applied MathematicsThis paper explores the properties of a family of absolutely irreducible projective plane curves, denoted Ca,b, which are defined over a finite field Fm of characteristic 2.
M.C. Rodríguez-Palánquex
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