Results 91 to 100 of about 15,809 (305)
Polar duals of convex bodies [PDF]
, 1990 A generalization and the dual version of the following result due to Firey is given: The mixed area of a plane convex body and its polar dual is at least Pi.
Ghandehari, Mostafa, Mostafa Ghandehari
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Invariant convex bodies for strongly elliptic systems
, 2018 We consider uniformly strongly elliptic systems of the second order with bounded coefficients. First, sufficient conditions for the invariance of convex bodies are obtained for linear systems without zero order term on bounded domains and quasilinear ...
Vladimir Maz′ya +3 more
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Advanced Robotics Research, EarlyView.Robots can learn manipulation tasks from human demonstrations. This work proposes a versatile method to identify the physical interactions that occur in a demonstration, such as sequences of different contacts and interactions with mechanical constraints.
Alex Harm Gert‐Jan Overbeek +3 more
wiley +1 more source
Journal of Applied Sciences and Environmental ManagementThe topological properties of some Gromov–Hausdorff hyperspaces of convex bodies associated with Riemannian manifold have been investigated, however, the objective of this paper is to provide a comparative studies of some topological properties on ...
M. A. Morawo +4 more
doaj +2 more sources
The unrestricted blocking number in convex geometry
, 2010 Let K be a convex body in \mathbb{R}^n. We say that a set of translates \left \{ K + \underline{u}_i \right \}_{i=1}^{p} block K if any other translate of K which touches K, overlaps one of K + \underline{u}_i, i = 1, . . . , p.
Sezgin, S.
core
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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On the monotonicity of perimeter of convex bodies
, 2018 Let n ≥ 2 and let Φ: Rn → [0, ∞) be a positively 1-homogeneous and convex function. Given two convex bodies A ∪ B in Rn, the monotonicity of anisotropic Φ-perimeters holds, i.e. PΦ(A) ≤ PΦ(B).
Stefani G.
core
Valuations on Convex Bodies and Functions
, 2023 An introduction to geometric valuation theory is given. The focus is on classification results for SL(n) invariant and rigid motion invariant valuations on convex bodies and on convex ...
Ludwig, Monika; orcid: +1 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source