Results 61 to 70 of about 25,799 (301)

THE FULFILLED EUCLIDEAN PLANE [PDF]

open access: yes, 2002
The fulfilled euclidean plane is the real projective plane completed with the infinite point of its infinite line. This new incidence structure is a structure with neighbouring elements, in which the unicity of the line through two distinct points is not
VASIU, Andrei, VASIU, Angela
core   +1 more source

Efficient and Robust Standing Postures of Quadruped Robots

open access: yesAdvanced Robotics Research, EarlyView.
A calibrated static framework estimates load, optimizes torques, and adapts posture so quadruped robots stand efficiently and robustly under external payloads, achieving up to 50% lower torque demand. Inspired by the natural posture adjustments of animals under external loading, this article presents an optimization‐based framework for minimizing joint
Mohamad Kanaan   +5 more
wiley   +1 more source

On the Geometric Aspects of Architectural Compositions

open access: yesJournal of Architectural and Engineering Research
We consider different aspects of the application of non-Euclidean geometries in architectural compositions. The main attention is put on Lobachevski's and Mandelbrot's fractal geometry.
Aren Nahapetyan, Linda Khachatryan
doaj   +1 more source

A semismooth newton method for the nearest Euclidean distance matrix problem

open access: yes, 2013
The Nearest Euclidean distance matrix problem (NEDM) is a fundamentalcomputational problem in applications such asmultidimensional scaling and molecularconformation from nuclear magnetic resonance data in computational chemistry.Especially in the latter ...
Qi, Houduo
core   +1 more source

Intelligent Sky Guardians (InSkyGuard): An Aerial Robotic Swarm for Autonomous Detection and Entrapment of Rogue Multirotors

open access: yesAdvanced Robotics Research, EarlyView.
Intelligent Sky Guardians (InSkyGuard) is introduced as a four‐drone swarm that autonomously detects, tracks, and safely captures rogue drones using a coordinated net system. Computer vision and leader–follower control architecture enable synchronized enclosure, while integrated failsafes enhance system reliability. Validated through closed‐environment
Joshua Hastings   +6 more
wiley   +1 more source

An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”

open access: yesInternational Journal of Social Sciences & Educational Studies
This paper goes into the challenges faced in the teaching of geometry, emphasizing its foundational principles. It investigates an alternate viewpoint by relating geometric principles to verses from the Holy Quran, implying that geometric conceptions ...
Safarov Tulqin Nazarovich   +1 more
doaj   +1 more source

Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]

open access: yesE3S Web of Conferences
The article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
doaj   +1 more source

Holonomy and submanifold geometry [PDF]

open access: yes, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
CONSOLE S   +4 more
core  

Dissecting the Ecological Structure of Health and Disease in the Global Gut Microbiome

open access: yesAdvanced Science, EarlyView.
We introduce Wiredancer, a framework that identifies three continuous ecological factors of the gut microbiota. These factors exhibit distinct patterns across health and disease, jointly capturing disrupted ecological stability and offering a new perspective for precision diagnostics and therapeutic strategies.
Baoyuan Zhu   +19 more
wiley   +1 more source

Integrable quadratic Hamiltonians on the Euclidean group of motions

open access: yes, 2010
In this paper, we discuss the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular, we derive a global result for special sub-Riemannian curves whose Hamiltonian satisfies a particular condition.
Biggs, James   +7 more
core   +1 more source

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