Results 11 to 20 of about 81,221 (296)
Differential geometry of weightings
Advances in Mathematics, 2023 We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to ...
Loizides, Yiannis, Meinrenken, Eckhard
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On the geometry of differential privacy [PDF]
Proceedings of the forty-second ACM symposium on Theory of computing, 2010 We consider the noise complexity of differentially private mechanisms in the setting where the user asks $d$ linear queries $f\colon\Rn\to\Re$ non-adaptively. Here, the database is represented by a vector in $\Rn$ and proximity between databases is measured in the $\ell_1$-metric.
Moritz Hardt, Kunal Talwar
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A new approach to the geometric modeling of Iranian domes [PDF]
تصمیم گیری و تحقیق در عملیات, 2023 Purpose: In Islamic architecture, using arches to build dome-shaped buildings has been very common. So, the research on building the domes of shrines and mosques is undoubtedly directed at studying the arches of those buildings.
Akbar Dehghan Nezhad, Nasim Daryani
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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
The Ninth Marcel Grossmann Meeting, 2001 37 pages, revised version with ...
Carlos Kozameh +2 more
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Explicit Information Geometric Calculations of the Canonical Divergence of a Curve
Mathematics, 2022 Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
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Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor [PDF]
Archives of Control Sciences, 2023 Differential geometry is a strong and highly effective mathematical subject for robot gripper design when grasping within the predetermined trajectories of path planning.
Haydar Sahin
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Differential geometry of gerbes
Advances in Mathematics, 2005 78 pages. Uses XyPic. A number of significant additions have been incorporated into this version. This includes a description of the coboundary relations in full generality, as well as a Cech-de Rham interpretation of the cocycle and coboundary relations for the 3-curvature of a gerbe with connection.
William Messing, Lawrence Breen
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Evaluation of Linearization Methods for Control of the Pendubot
Applied Sciences, 2021 The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position.
Paweł Parulski +2 more
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Differential Invariants in a General Differential Geometry [PDF]
Proceedings of the National Academy of Sciences, 1937 The study of general differential geometries in which the "geometric space" is a Hausdorff topological space~), while the "coordinate space" i~ a Banach space 3), has been initiated recently by one of us ~). The theory includes as special cases not only the finite dimensional but also the infinite dimensional 5) Riemannian and Non-Riemannian geometries.
MichaI, A.D., Hyers, D.H.
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