Families of curves and the origins of partial differentiation / by 177492 Engelsman, Steven B.

THE EXPLICIT MORDELL CONJECTURE FOR FAMILIES OF CURVES by SARA CHECCOLI, FRANCESCO VENEZIANO, EVELINA VIADA

“…In this article we prove the explicit Mordell Conjecture for large families of curves. In addition, we introduce a method, of easy application, to compute all rational points on curves of quite general shape and increasing genus. …”
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Application of covering techniques to families of curves by Flynn, E, Redmond, J

“…We apply, for the first time, certain covering techniques to infinite families of curves. We find an infinite family of curves to which Chabauty's Theorem is not applicable, but which can be solved using bielliptic covers, and other infinite families of curves which even resist solution by bielliptic covers. …”

Application of covering techniques to families of curves by Flynn, E, Redmond, J

“…We apply, for the first time, certain covering techniques to infinite families of curves. We find an infinite family of curves to which Chabauty's Theorem is not applicable, but which can be solved using bielliptic covers, and other infinite families of curves which even resist solution by bielliptic covers. …”

Nonisotrivial families over curves with fixed point free automorphisms by Dajano Tossici, Francesca Vetro

“…We construct for any smooth projective curve of genus <em>q ≥ 2</em> with a fixed point free automorphism a nonisotrivial family of curves. Moreover we study the space of the modular curves and one of the parameters.…”
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Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2. by Arnth-Jensen, A, Flynn, E

“…We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate-Shafarevich group for descent via Richelot isogeny. …”

A Cosserat Model of Elastic Solids Reinforced by a Family of Curved and Twisted Fibers by Milad Shirani, David J. Steigmann

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ON THE P-HARMONIC RADII OF CIRCULAR SECTORS by A. S. Afanaseva-Grigoreva, E. G. Prilepkina

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ROD CURVES AND CURVE FAMILIES GENERATED BY A R-PRR-RPP-RPR TYPE MECHANISM by Iulian Popescu, Liliana Luca

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On the asymptotic behavior at infinity of one mapping class by Bogdan Klishchuk, Ruslan Salimov, Mariia Stefanchuk

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Some laws of a system with a constant amount of energy by Blagojević D., Popović H., Popović Z., Stefanović D., Stefanović I.

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Inverse and Direct Problem of the Dynamics of Central Motions by Francesco Borghero, George Bozis, Antonio Melis

Subjects: “…monoparametric and two-parametric families of curves…”
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BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE by José Luis Ramírez, Gustavo Nevardo Rubiano

“…Moreover,  we associate to this family of words a family of curves with interesting patterns.…”
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On a generalization of the Deligne–Lusztig curve of Suzuki type and application to AG codes by Timpanella Marco

“…In this article, Algebraic-Geometric (AG) codes and quantum codes associated with a family of curves that includes the famous Suzuki curve are investigated. …”
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Generation and processing of chaotic signals BASED ON simple functions in three dimensional space by V. A. Cherdyntsev, S. I. Polovenya, V. V. Dubrovsky

“…Numerical simulation of a family of curves obtained interference immunity for various operating conditions of the generator of chaotic processes is received.…”
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Cycles of covers by Flynn, E, Wunderle, J

“…We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty's Theorem is not applicable, and which even resist solution by one application of a certain bielliptic covering technique. …”

Methodological Proposal for the Hydraulic Design of Labyrinth Weirs by Erick Dante Mattos-Villarroel, Waldo Ojeda-Bustamante, Carlos Díaz-Delgado, Humberto Salinas-Tapia, Jorge Flores-Velázquez, Carlos Bautista Capetillo

“…The results of the discharge coefficient are presented as a family of curves, which indicates a higher discharge capacity when <i>H_T</i>/<i>P</i> ≤ 0.17. …”
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Cycles of Covers. by Flynn, E, Wunderle, J

“…We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty's Theorem is not applicable, and which even resist solution by one application of a certain bielliptic covering technique. …”

ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS by Alina DUTA, Ionut - Daniel GEONEA, Gordana DJUKANOVIC, Marcela POPESCU, Ludmila SASS

“…Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. …”
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ASPECTS AND GEOMETRIC INTERPRETATION IN SOLVING CONICAL SECTIONS by Alina Duta, Ionut - Daniel Geonea, Gordana Djukanovic, Marcela Popescu, Ludmila Sass

“…Is well known that the shape of this curve may differ quite a bit depending on the position of the intersection plane relative to the cone axis, as it is actually a family of curves, commonly called "conical". In the first part, we determine the relation between the shape of the section curve and the angle of the plane of the section plane. …”
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