Results 11 to 20 of about 47,617 (57)
A tutorial on simulating nonlinear behaviors of flexible structures with the discrete differential geometry (DDG) method [PDF]
Applied Mechanics ReviewFlexible elastic structures, such as beams, rods, ribbons, plates, and shells, exhibit complex nonlinear dynamical behaviors that are central to a wide range of engineering and scientific applications, including soft robotics, deployable structures ...
Weicheng Huang +8 more
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A quantum complexity lower bound from differential geometry [PDF]
Nature Physics, 2021 Quantum operations can be considered as points in a high-dimensional space in which distance reflects the similarity of two operations. Applying differential-geometric methods in this picture gives insights into the complexity of quantum systems ...
Adam R. Brown
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Differential geometry for the optimal design of the contingent valuation method
Information Geometry, 2023 The contingent valuation method (CVM) is a widely used experimental method to measure the monetary value of goods. However, CVM estimates are sensitive to experiment design.
Hisatoshi Tanaka
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An Introduction to Infinite-Dimensional Differential Geometry [PDF]
, 2021 Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak ...
Alexander Schmeding
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Differential geometry using quaternions [PDF]
International Electronic Journal of GeometryThis paper establishes the basis of the quaternionic differential geometry (HDG) initiated in a previous article. The usual concepts of curves and surfaces are generalized to quaternionic constraints, as well as the curvature and torsion concepts ...
Sergio Giardino
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Differential geometry and general relativity with algebraifolds [PDF]
Journal of Geometry and PhysicsIt is often noted that many of the basic concepts of differential geometry, such as the definition of connection, are purely algebraic in nature. Here, we review and extend existing work on fully algebraic formulations of differential geometry which ...
Tobias Fritz
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Differential geometry and its applications: Editorial Board
Differential geometry and its applicationssemanticscholar +7 more sources
Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation [PDF]
Journal of Geometry and PhysicsIt is shown that a canonical geometric setting of the integrable TED equation is a Kahlerian tangent bundle of an affine manifold. The remarkable multi-dimensional consistency of this 4+4-dimensional dispersionless partial differential equation arises ...
W. Schief +2 more
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APPLICATION OF DIFFERENTIAL GEOMETRY METHODS TO SLOW-FAST DYNAMIC SYSTEMS
APPLIED GEOMETRY AND ENGINEERING GRAPHICSThe slow-fast autonomous two-dimensional dynamic systems are considered. Slow-fast dynamic systems describe various physical, mechanical, and other phenomena in which the gradual evolutionary accumulation of small changes over time leads to a sudden ...
Nataliya Bondarenko +2 more
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, 2018 This paper discusses and presents an overview of the proportional navigation (PN) guidance law as well as the differential geometry (DG) guidance algorithm that are used to develop the intercept course of a certain target.
Y. Alqudsi, G. El-bayoumi
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