Results 61 to 70 of about 1,838,692 (271)
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
ON CONTINUOUS AND ADJOINT MORPHISMS BETWEEN NON-COMMUTATIVE PRIME SPECTRA [PDF]
Proceedings of the Edinburgh Mathematical Society, 2006 AbstractWe study topological properties of the correspondence of prime spectra associated with a non-commutative ring homomorphism $R\rightarrow S$. Our main result provides criteria for the adjointness of certain functors between the categories of Zariski closed subsets of $\spec R$ and $\spec S$; these functors arise naturally from restriction and ...
openaire +2 more sources
Investigation on Adjoint Based Gradient Computations for Realistic 3d Aero-Optimization [PDF]
, 2010 A discrete adjoint method for e ciently computing gradients for aerodynamic shape op- timizations is presented. The chain itself involves an unstructured mesh Reynolds-Averaged Navier-Stokes solver, and is suitable for the optimization of complex ...
Brezillon, Joel +3 more
core
Advanced Intelligent Systems, EarlyView.A digital twin framework is presented for modular soft continuum arms built from fiber‐reinforced pneumatic actuators. Cosserat rod models describe individual actuators, while virtual assemblies are formed through serial and parallel networks, preserving actuator‐level architecture and arm deformation.
Seung Hyun Kim +11 more
wiley +1 more source
Approximations of Strongly Continuous Families of Unbounded Self-Adjoint Operators [PDF]
Communications in Mathematical Physics, 2016 22 pages, final version to appear in Commun.
Ben-Artzi, J, Holding, T
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Advanced Intelligent Systems, EarlyView.A quadrupedal integrated leg‐arm robot with an underactuated reconfigurable body is developed. By using a Sarrus mechanism as the body, the robot enables reconfiguration through its supporting limbs, achieving mode switching without additional actuators.
Xinghan Zhuang +8 more
wiley +1 more source
Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
doaj +1 more source
Optimization of Airfoils Using the Adjoint Approach and the Influence of Adjoint Turbulent Viscosity
Computation, 2018 The adjoint approach in gradient-based optimization combined with computational fluid dynamics is commonly applied in various engineering fields. In this work, the gradients are used for the design of a two-dimensional airfoil shape, where the aim is a ...
Matthias Schramm +2 more
doaj +1 more source
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley +1 more source
Deep Underground Science and Engineering, EarlyView.This study assesses whether a saline aquifer in the German North Sea can sustain industrial‐scale CO2 injection at 10 Mt/year over 30 years. A 3D reservoir model is used to compare static capacity with dynamically achievable storage. The work links site‐scale injection strategy design with basin‐scale pressure response, providing a framework for ...
Firdovsi Gasanzade, Sebastian Bauer
wiley +1 more source