Results 11 to 20 of about 84,589 (290)

On the geometry of differential privacy [PDF]

open access: yesProceedings 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.
Hardt, Moritz, Talwar, Kunal
openaire   +2 more sources

Differential Geometry and Its Application

open access: yesAxioms, 2023
We have launched a Special Issue of Axioms which focuses on the generalization of Riemannian spaces and their mappings [...]
Mića S. Stanković
doaj   +1 more source

A new approach to the geometric modeling of Iranian domes [PDF]

open access: yesتصمیم 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
doaj   +1 more source

Explicit Information Geometric Calculations of the Canonical Divergence of a Curve

open access: yesMathematics, 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
doaj   +1 more source

Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor [PDF]

open access: yesArchives 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
doaj   +1 more source

ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]

open access: yesInternational 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 ...
openaire   +3 more sources

DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]

open access: yesThe Ninth Marcel Grossmann Meeting, 2001
37 pages, revised version with ...
Frittelli, Simonetta   +2 more
openaire   +2 more sources

Differential Invariants in a General Differential Geometry [PDF]

open access: yesProceedings 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.
openaire   +3 more sources

Evaluation of Linearization Methods for Control of the Pendubot

open access: yesApplied 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
doaj   +1 more source

DIFFERENTIAL GEOMETRY OF THE q-PLANE [PDF]

open access: yesInternational Journal of Modern Physics A, 2000
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
openaire   +3 more sources

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