Results 101 to 110 of about 25,799 (301)

Urban Geography Compression Patterns: Non-Euclidean and Fractal Viewpoints

AppliedMath
The 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, Sandra Lach Arlinghaus   +1 more
doaj   +1 more source

Canonical triangulations of Dehn fillings [PDF]

, 2010
Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad ...
Schleimer, Saul, Guéritaud, François
core   +1 more source

A Phase‐Resolved Geometric Deep Learning Framework Maps Structural Determinants of Disease‐Associated Protein Aggregation and Guides Suppressor Design

Advanced Science, EarlyView.
SKALE 2.0 maps disease‐associated protein aggregation as a phase‐resolved structural process, linking mutation‐induced geometric perturbations to nucleation, elongation, and suppressor design. Across neurodegenerative proteins, the framework reveals cryptic aggregation vulnerabilities, separates phase‐concordant and phase‐switching mutations, and ...
Jia Shen Sio, Wei Xuan Wilson Loo, Yan Shan Loo, Wen Xin Tan, Hui Xuan Lim, Huitao Liu, Chen Seng Ng   +6 more
wiley   +1 more source

SPADE: A Deep Learning Framework for Spatial Mapping and Quantitative Cell–Cell Interaction Inference

Advanced Science, EarlyView.
SPADE integrates spatial transcriptomics with single‐cell RNA sequencing by using cell–cell communications (CCC) as a guide for spatial mapping. It improves cell‐type localization, enhances sparse gene‐expression signals, and reveals CCC programs at single‐spot resolution.
Xinyi Li, Ning Zhang, Zijie Jin
wiley   +1 more source

MGM531 - Euclidean Geometry [PDF]

, 2022
First Semester Examination 2021/2022 Academic Session February 2022 MGM531 - Euclidean Geometry Duration : 3 hours and 45 ...
PPSM, Pusat Pengajian Sains Matematik
core  

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

Advanced 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, Lu Lu, Sophie Leanza, Ruike Renee Zhao   +3 more
wiley   +1 more source

Emergent Complexity over Symbolic Simplicity: Inductive Bias and Structural Failure in GANs

Fractal and Fractional
Generative Adversarial Networks (GANs) perform well on natural images but often fail in domains governed by strict geometric or symbolic constraints.
Călin Gheorghe Buzea, Florin Nedeff, Diana Mirila, Valentin Nedeff, Oana Rusu, Lucian Dobreci, Maricel Agop, Decebal Vasincu   +7 more
doaj   +1 more source

Super‐Resolution and High‐Data‐Density Acoustic Meta‐Hologram via Amplitude and Phase Coupling

Advanced Science, EarlyView.
A super‐resolution acoustic meta‐hologram utilizes amplitude‐phase coupling under energy conservation constraints to overcome the traditional diffraction limit. This conceptually advanced approach achieves high‐fidelity acoustic field reconstruction and dense information transmission, unlocking new potentials for high‐resolution acoustic imaging and ...
Xiao Guo, Xinzong Wang, Guoshen Tang, Haohan Zeng, Siqi Fan, Xinghao Hu, Youyu Mo, Zhenyu He, Tingting Li, Hui Xu, Jiao Shen, Haiyan Fan, Xiaoxiang Gao, Yifan Zhu, Hui Zhang, Badreddine Assouar   +15 more
wiley   +1 more source

Cross-subject EEG emotion recognition using Riemannian Graph Transformers with Geodesic Adversarial Adaptation

Alexandria Engineering Journal
Cross-subject electroencephalography (EEG) emotion recognition poses a fundamental challenge for brain-computer interfaces due to two factors: the non-Euclidean geometry of EEG spatial covariance matrices and the substantial inter-subject variability in ...
Yun Gao, Hai Deng
doaj   +1 more source

The process of re-designing the geometry curriculum: the case of the Mathematical Association in England in the early twentieth century

, 2011
This paper examines a key period of change in geometry teaching in England. Our focus is the character and nature of the recommendations of the 1902 geometry report of the UK Mathematical Association.
Fujita, Taro, Jones, Keith
core