Results 41 to 50 of about 308 (156)
Link Theory: Applications to Real Algebraic Curves.
, 1995 Hilbert in his sixteenth problem asks us to study the topology of real algebraic varieties. There are many equalities, inequalities, and congruences associated to a real algebraic curve. Extremal properties have been derived for many of the inequalities.
Paris, Stephen Patrick
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Random Diophantine equations in the primes
Mathematika, Volume 72, Issue 3, July 2026.Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
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Real algebraic morphisms and Del Pezzo surfaces of degree 2
, 2004 Let X and Y be affine nonsingular real algebraic varieties. A general problem in Real Algebraic Geometry is to try to decide when a smooth map f : X -> Y can be approximated by regular maps in the space of smooth mappings from X to Y, equipped with the ...
Mangolte, Frédéric +3 more
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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An Introduction to Real Algebraic Geometry
, 2023 O presente trabalho traz uma apresentação geral da disciplina 'Geometria Algébrica' e depois apresenta ferramentas para lidar com o caso de quando o corpo base é o corpo dos números reais.
Hornhardt, Caio De Naday
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Geometric Stabilization of Biomolecular Chirality in Open Systems
Chirality, Volume 38, Issue 6, June 2026.Entropic topology favors orientation‐preserving deformations in molecular configuration space, leading to a spontaneous statistical bias toward right‐handed α$$ \alpha $$‐helices. The figure illustrates how configurations with positive determinant (dextral) occupy a larger accessible volume of microstates, providing a purely geometric‐entropic ...
Vicente Domínguez‐Arca
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Engineering Reports, Volume 8, Issue 6, June 2026.Typical configuration of Huangshan Scenic Area. ABSTRACT To cope with the supply and demand imbalance challenge caused by the surge in energy demand in tourism‐intensive areas and the high volatility of renewable energy, this paper aims to construct a collaborative scheduling optimization model based on graph neural networks (GNNs). The model abstracts
Lixia Wang
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Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding
Med Research, Volume 2, Issue 2, Page 371-387, June 2026.This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han +5 more
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International Journal of Mathematical Combinatorics, Vol.4A [PDF]
, 2010 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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International Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 224-246, June 2026.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
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