Results 11 to 20 of about 2,302,459 (290)
Multi linear formulation of differential geometry and matrix regularizations
, 2012 We prove that many aspects of the differential geometry of em-bedded Riemannian manifolds can be formulated in terms of multilinear algebraic structures on the space of smooth functions.
Hoppe, Jens, +2 more
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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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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
The Ninth Marcel Grossmann Meeting, 2001 37 pages, revised version with ...
Frittelli, Simonetta +2 more
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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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The Theoretical Study of Kink Deformation in Graphite Based on Differential Geometric Method
Nanomaterials, 2022 Kink deformation is often observed in materials with laminated layers. Graphite composed of stacked graphene layers has the unique laminated structure of carbon nanomaterials.
Xiao-Wen Lei +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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Heritage, 2021 Assessment and evaluation of damage in cultural heritage structures are conducted primarily using nondestructive and noncontact methods. One common deployment is laser scanners or ground-based lidar scanners that produce a point cloud containing ...
Richard L. Wood +1 more
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ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2013 Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for families of geometrical quantities is presented here, which allows one to work without introducing ad hoc spaces, by using the language of differential calculus over commutative ...
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Machines, 2023 The correct evaluation of the curvatures of ball screw grooves allows the accurate design of the constructive parameters of this mechanism and enhancing its performance.
Antonio Carlo Bertolino +3 more
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To the 85th Anniversary of the Department of Geometry of ISU
Известия Иркутского государственного университета: Серия "Математика", 2023 The article provides a brief overview of the main directions of the history of scientific and pedagogical activity and the achievements of the Department of Geometry of Irkutsk State University for 1938-2012 years.
O.V. Kuzmin, L. A. Osipenko
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