Results 11 to 20 of about 84,589 (290)
On the geometry of differential privacy [PDF]
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.
Hardt, Moritz, Talwar, Kunal
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Differential Geometry and Its Application
We have launched a Special Issue of Axioms which focuses on the generalization of Riemannian spaces and their mappings [...]
Mića S. Stanković
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A new approach to the geometric modeling of Iranian domes [PDF]
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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Explicit Information Geometric Calculations of the Canonical Divergence of a Curve
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]
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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ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]
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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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
37 pages, revised version with ...
Frittelli, Simonetta +2 more
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Differential Invariants in a General Differential Geometry [PDF]
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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Evaluation of Linearization Methods for Control of the Pendubot
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 GEOMETRY OF THE q-PLANE [PDF]
Hopf algebra structure on the differential algebra of the extended q-plane is defined. An algebra of forms which is obtained from the generators of the extended q-plane is introduced and its Hopf algebra structure is given.
Çelik, Salih, Çelik, Sultan
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