Results 81 to 90 of about 1,143,945 (288)

Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami

open access: yesAdvanced Science, EarlyView.
This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning   +3 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

Kant's Views on Non-Euclidean Geometry [PDF]

open access: yes, 2012
Kant's arguments for the synthetic a priori status of geometry are generally taken to have been refuted by the development of non-Euclidean geometries.
Cuffaro, Michael
core   +1 more source

SemanticST: A Scalable Multi‐Contextual Graph Learning Framework for Uncovering Spatial Niches and Robust Multi‐Sample Integration in Spatial Transcriptomics

open access: yesAdvanced Science, EarlyView.
Technical limitations often let dominant signals overshadow rare cell types and fine‐grained heterogeneity in spatial transcriptomics. SemanticST, a graph neural network using multi‐semantic graph fusion and a novel min‐cut loss, recovers these subtle patterns.
Roxana Zahedi   +7 more
wiley   +1 more source

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

open access: yesAdvanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English   +9 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

Transformations in Euclidean Geometry [PDF]

open access: yes, 2021
In this diploma thesis, we discuss geometric transformations. Being such a broad concept, the focus is only on transformations in Euclidean geometry. Before considering transformations, we look at axioms of planar Euclidean geometry that are the basis ...
Capuder, Viktorija
core  

The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells

open access: yesAdvanced Science, EarlyView.
Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Laura Morato   +9 more
wiley   +1 more source

DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction

open access: yesAdvanced Science, EarlyView.
Protein function is represented as a dynamic conformational ensemble rather than a single static structure. A multi‐conformation geometric attention framework aligns, clusters, and learns representative states to capture residue‐ and ensemble‐level signals. Integrating structural dynamics improves interpretable protein‐NA binding prediction and reveals
Pengpai Li   +3 more
wiley   +1 more source

Editorial: Special Issue “The 13th Bolyai–Gauss–Lobachevsky Conference on Non-Euclidean Geometry and Its Applications”

open access: yesUniverse
This Special Issue, The 13th Bolyai–Gauss–Lobachevsky Conference on Non-Euclidean Geometry and Its Applications, brings together seven peer-reviewed contributions originating from presentations delivered at the 13th Bolyai–Gauss–Lobachevsky (BGL2025 ...
Tiberiu Harko   +3 more
doaj   +1 more source

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