Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aacecf
Abstract: In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest… read more here.
Keywords: toda lattice; toda; geometric topological; finite nonperiodic ... See more keywords
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures
Sign Up to like & getrecommendations! Published in 2024 at "Machine Learning"
DOI: 10.1088/2632-2153/adf375
Abstract: The enduring legacy of Euclidean geometry underpins classical machine learning, which, for decades, has been primarily developed for data lying in Euclidean space. Yet, modern machine learning increasingly encounters richly structured data that is inherently… read more here.
Keywords: geometric topological; machine learning; non euclidean; modern machine ... See more keywords
NetworkGT: A GIS tool for geometric and topological analysis of two-dimensional fracture networks
Sign Up to like & getrecommendations! Published in 2018 at "Geosphere"
DOI: 10.1130/ges01595.1
Abstract: Fractures rarely occur individually but more usually as networks of numerous fractures whose arrangement, abundance, and interaction control the mechanical and transport properties of rock masses. Of particular importance are the distributions and spatial variations… read more here.
Keywords: dimensional fracture; fracture networks; fracture; two dimensional ... See more keywords
Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
Sign Up to like & getrecommendations! Published in 2017 at "Frontiers in Plant Science"
DOI: 10.3389/fpls.2017.00900
Abstract: The geometries and topologies of leaves, flowers, roots, shoots, and their arrangements have fascinated plant biologists and mathematicians alike. As such, plant morphology is inherently mathematical in that it describes plant form and architecture with… read more here.
Keywords: plant sciences; plant; morphological plant; plant morphology ... See more keywords