Results 131 to 140 of about 1,591,753 (376)
Non-Euclidean Geometry, Nontrivial Topology and Quantum Vacuum Effects
Universe, 2018 Space out of a topological defect of the Abrikosov–Nielsen–Olesen (ANO) vortex type is locally flat but non-Euclidean. If a spinor field is quantized in such a space, then a variety of quantum effects are induced in the vacuum.
Yurii A. Sitenko +1 more
doaj +1 more source
Solving olympiad geometry without human demonstrations
The NaturalistProving mathematical theorems at the olympiad level represents a notable milestone in human-level automated reasoning1–4, owing to their reputed difficulty among the world’s best talents in pre-university mathematics. Current machine-learning approaches,
Trieu H. Trinh +4 more
semanticscholar +1 more source
Deep Learning Methods in Soft Robotics: Architectures and Applications
Advanced Intelligent Systems, EarlyView.Soft robotics has seen intense research over the past two decades and offers a promising approach for future robotic applications. However, standard industrial methods may be challenging to apply to soft robots. Recent advances in deep learning provide powerful tools to analyze and design complex soft machines that can operate in unstructured ...
Tomáš Čakurda +3 more
wiley +1 more source
Two Strange Constructions in the Euclidean Plane [PDF]
arXiv, 2008 We present two new constructions in the usual euclidean plane. We only deal with 'Grecian Geometry', with this phrase we mean elementary geometry in the two-dimensional space R 2 . We describe and prove two propositions about 'projections'. The proofs need only elementary analytical knowledge.
arxiv
The r-mean curvature and rigidity of compact hypersurfaces in the Euclidean space [PDF]
arXiv, 2020 In this paper, we characterize round spheres in the Euclidean space under some suitable conditions on the r-mean curvature.
arxiv
Phenobot: An Autodigital Modeling System for in situ Phenotyping in Horticulture
Advanced Intelligent Systems, EarlyView.This study introduces a robotic phenotyping system for precision agriculture, integrating environmental understanding, motion planning, and in situ plant phenotyping. The system autonomously navigates through real‐world agricultural environments, collects high‐quality plant data, and reconstructs accurate 3D plant models. Results demonstrate the system'
Kewei Hu +5 more
wiley +1 more source
Basic coordinate-free non-Euclidean geometry [PDF]
arXiv, 2011 These lecture notes are based on [arXiv: math/0702714, 0907.4469, 0907.4470]. We introduce and study basic aspects of non-Euclidean geometries from a coordinate-free viewpoint.
arxiv
Real‐Time Motion Generation for Robot Manipulators in Complex Dynamic Environments
Advanced Intelligent Systems, EarlyView.A motion generation method for robot manipulators in complex dynamic environments is presented. The method integrates global motion planning with local obstacle avoidance, ensuring continuous movement toward dynamically measured target poses. An online distance calculation algorithm is developed, and a collision‐free motion generator is proposed that ...
Tianyu Zhang +6 more
wiley +1 more source
Urban Geography Compression Patterns: Non-Euclidean and Fractal Viewpoints
AppliedMathThe intersection of fractals, non-Euclidean geometry, spatial autocorrelation, and urban structure offers valuable theoretical and practical application insights, which echoes the overarching goal of this paper.
Daniel A. Griffith +1 more
doaj +1 more source
Lobachevski descubridor de la Geometría Hiperbólica
Revista de Matemática: Teoría y Aplicaciones, 2012 We offer an overview of the geometric studies of the russian mathematician N.I. Lobachevski (1792?1856), which culminated with the discovery of the hyperbolic geometry.
Juan Boza Cordero
doaj +1 more source