Results 41 to 50 of about 1,143,945 (288)

The geometry of optimal control problems on some six dimensional lie groups [PDF]

open access: yes, 2006
This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E3 , the spheres S3 and
Biggs, James, Holderbaum, William
core   +3 more sources

An Observer-Based View of Euclidean Geometry

open access: yesMathematics
An influence network of events is a view of the universe based on events that may be related to one another via influence. The network of events forms a partially ordered set which, when quantified consistently via a technique called chain projection ...
Newshaw Bahreyni   +2 more
doaj   +1 more source

Studying the status of fractal geometry in art and its appearance in artwork [PDF]

open access: yesپیکره, 2015
Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
doaj   +1 more source

Hydrogel‐Based Method for High‐Resolution Measurements of Contact Mechanics in Rapid Biological Adhesives: A Case Study in Cuttlefish Tentacle Strikes

open access: yesAdvanced Functional Materials, EarlyView.
Cuttlefish and squid can catch their prey within milliseconds using specialized tentacles and suckers. The physics of how the suckers can attach so quickly has remained a mystery given the technical challenges of studying them in vivo. In this publication, we develop a hydrogel that retains imprints of the suckers in order to estimate the forces they ...
Alexander Koehnsen   +4 more
wiley   +1 more source

On the Geometry of No-Boundary Instantons in Loop Quantum Cosmology

open access: yesUniverse, 2019
We study the geometry of Euclidean instantons in loop quantum cosmology (LQC) such as those relevant for the no-boundary proposal. Confining ourselves to the simplest case of a cosmological constant in minisuperspace cosmologies, we analyze solutions of ...
Suddhasattwa Brahma, Dong-han Yeom
doaj   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

open access: yesAdvanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena   +3 more
wiley   +1 more source

Lattice-Based Generation of Euclidean Geometry Figures

open access: yesProceedings of the International Florida Artificial Intelligence Research Society Conference
We present a user-guided method to generate geometry figures appropriate for high school Euclidean geometry courses: a useful starting point for an intelligent tutoring system to provide meaningful, realistic figures for study.
Jonathan Henning   +6 more
doaj   +1 more source

Do mito da Geometria Euclidiana ao ensino das Geometrias Não Euclidianas

open access: yesVértices, 2010
Das tentativas frustradas de provar que o quinto postulado de Euclides era um teorema, surgiram as Geometrias Não Euclidianas. Com os quatro primeiros postulados de Euclides e a negação do quinto, surgiram outras Geometrias cujos postulados são possíveis
Mylane dos Santos Barreto   +1 more
doaj   +1 more source

Euclidean decompositions of hyperbolic manifolds and their duals [PDF]

open access: yes, 2007
Epstein and Penner constructed in [EP88] the Euclidean decomposition of a non-compact hyperbolic n-manifold of finite volume for a choice of cusps, n >= 2. The manifold is cut along geodesic hyperplanes into hyperbolic ideal convex polyhedra.
Lukac, Sascha Georg
core  

Programmable Variable‐Stiffness Multilayer Elastomer Composites With High‐Aspect‐Ratio Low‐Melting‐Point Alloy Inclusions

open access: yesAdvanced Materials Technologies, EarlyView.
High‐aspect‐ratio low‐melting‐point alloy inclusions are embedded within multilayer silicone laminates to create thermally programmable stiffness. Sequential activation of alloy‐rich layers produces four distinct mechanical states and reconfigures tendon‐driven actuator trajectories under the same load.
Palpolage Don Shehan Hiroshan Gunawardane   +4 more
wiley   +1 more source

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