Results 31 to 40 of about 13,943,169 (315)
Compactification of Friedmann's Hyperbolic Model
Physical Review Letters, 1983 A compact hyperbolic three-manifold is substituted for the infinite space H/sup 3/, as space section of Friedmann's cosmological model of negative curvature. Some consequences are briefly analyzed. In particular it is shown that an apparent observational isotropy persists when the particle horizon intersects an anisotropic region of space.
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Discrete Hyperbolic Random Graph Model
CoRR, 2021 Accepted to SEA 2022.
Dorota Celinska-Kopczynska +1 more
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Hyperbolic Large Language Models
CoRRLarge language models (LLMs) have achieved remarkable success and demonstrated superior performance across various tasks, including natural language processing (NLP), weather forecasting, biological protein folding, text generation, and solving mathematical problems. However, many real-world data exhibit highly non-Euclidean latent hierarchical anatomy,
Sarang Patil +4 more
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Majority-vote model on hyperbolic lattices [PDF]
Physical Review E, 2010 8 pages, 9 ...
Wu, Zhi-Xi, Holme, Petter
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Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
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Scientific Reports, 2022 Hyperbolic network models have gained considerable attention in recent years, mainly due to their capability of explaining many peculiar features of real-world networks.
Bianka Kovács +2 more
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Hyperbolic Graph Diffusion Model
Proceedings of the AAAI Conference on Artificial IntelligenceDiffusion generative models (DMs) have achieved promising results in image and graph generation. However, real-world graphs, such as social networks, molecular graphs, and traffic graphs, generally share non-Euclidean topologies and hidden hierarchies. For example, the degree distributions of graphs are mostly power-law distributions.
Lingfeng Wen +7 more
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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