Results 31 to 40 of about 352 (177)
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Geometric Error Modeling of 3-DOF Planar Parallel Manipulators Using Conformal Geometric Algebra
MachinesThis paper proposes a geometrically intuitive error modeling method for planar parallel mechanisms (PPMs) based on conformal geometric algebra (CGA). First, the end point of each limb is determined through rotational transformations in geometric algebra.
Huijing Yao, Chenxin Tang, Xinxue Chai
doaj +1 more source
Robotic Arm‐Assisted Conformal 3D Printing of Displays for Structural Electronics
Advanced Intelligent Systems, EarlyView.This study presents a robotics‐enabled platform combining 3D scanning and a 6‐DOF robotic arm for conformal printing on complex non‐planar structures. By maintaining nozzle perpendicularity, the system enables high‐fidelity direct ink writing on steep sidewalls, spherical surfaces, successfully demonstrating a fully printed 7‐segment dynamic display ...
Chanbin Yoo +5 more
wiley +1 more source
Universal Entanglement and an Information‐Complete Quantum Theory
Advanced Physics Research, EarlyView.This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Tracking of Brain Tumors using Vision and Neurosonography
Applied Bionics and Biomechanics, 2010 We have developed a method to render brain tumours from endoneurosonography. We propose to track an ultrasound probe in successive endoscopic images without relying on an external optic or magnetic tracking system.
Rubén Machucho Cadena +2 more
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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High Voltage, EarlyView.ABSTRACT Structural mechanics field simulation plays a critical role in the vibration characteristic analysis of electrical equipment. Existing structural field analysis of equipment based on numerical simulation faces challenges such as convergence difficulties and prolonged computational time, failing to meet the demand for real‐time prediction of ...
Wanqing Wang +6 more
wiley +1 more source
Object Detection in Point Clouds Using Conformal Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aksel Sveier +3 more
openaire +3 more sources
Acta Crystallographica Section D, EarlyView.A Bayesian perspective on orientation estimation in cryo‐EM is presented, with the minimum mean‐square error estimator outperforming standard cross‐correlation‐based approaches, particularly under challenging low signal‐to‐noise conditions. We demonstrate that improved orientation estimation has a decisive impact on 3D reconstruction quality and ...
Sheng Xu +3 more
wiley +1 more source