Results 81 to 90 of about 15,809 (305)
Hyperbolic geometry of shapes of convex bodies
, 2022 International audienceWe use the intrinsic area to define a distance on the space of homothety classes of convex bodies in the n-dimensional Euclidean space, which makes it isometric to a convex subset of the infinite dimensional hyperbolic space.
Debin, Clément, Fillastre, François
core +1 more source
Learning Highly Dynamic Skills Transition for Quadruped Jumping Through Constrained Space
Advanced Robotics Research, EarlyView.A quadruped robot masters dynamic jumps through constrained spaces with animal‐inspired moves and intelligent vision control. This hierarchical learning approach combines imitation of biological agility with real‐time trajectory planning. Although legged animals are capable of performing explosive motions while traversing confined spaces, replicating ...
Zeren Luo +6 more
wiley +1 more source
AxiomsIn Chuanming Zong’s program to attack Hadwiger’s covering conjecture, which is a longstanding open problem from Convex and Discrete Geometry, it is essential to estimate covering functionals of convex bodies effectively. Recently, He et al. and Yu et al.
Xiangyang Han, Senlin Wu, Longzhen Zhang
doaj +1 more source
DUGDALE-MAUGIS ADHESIVE NORMAL CONTACT OF AXISYMMETRIC POWER-LAW GRADED ELASTIC BODIES
Facta Universitatis. Series: Mechanical Engineering, 2018 A closed-form general analytic solution is presented for the adhesive normal contact of convex axisymmetric power-law graded elastic bodies using a Dugdale-Maugis model for the adhesive stress. The case of spherical contacting bodies is studied in detail.
Emanuel Willert
doaj +1 more source
Applied Mathematics Letters, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The Radius of Gyration of a Convex Body [PDF]
Proceedings of the American Mathematical Society, 1962 The purpose of this note is to establish an inequality of isoperimetric type for convex bodies. Let K be a bounded convex body and I a line through its centroid; let 5(K, 1) be the supremum of distances of points of K from 1, I(K, 1) the moment of inertia of K about 1, and g(K, 1) the radius of gyration [I(K, 1)/mass K]1112 of K about 1.
openaire +2 more sources
Soft Robotic Snake with Tunable Undulatory Gait for Efficient Underwater Locomotion
Advanced Robotics Research, EarlyView.This study designs an underwater soft snake robot using 3D‐printed soft actuators, controlled by specific signals to generate sinusoidal undulation. Results show a positive correlation between speed and swing amplitude, with optimal performance at 2/3π phase offset, PLA tail, 1.2 voltage growth rate, and 6s undulation period achieving a maximum speed ...
Huichen Ma, Junjie Zhou, Raye Yeow
wiley +1 more source
Minimum convex partitions and maximum empty polytopes
Journal of Computational Geometry, 2014 Let S be a set of n points in Rd. A Steiner convex partition is a tiling of conv(S) with empty convex bodies. For every integer d, we show that S admits a Steiner convex partition with at most ⌈(n-1)/d⌉ tiles.
Adrian Dumitrescu +2 more
doaj +1 more source
Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality
Journal of Function Spaces, 2020 The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-
Niufa Fang, Jin Yang
doaj +1 more source
Approximating Convex Bodies by Cephoids
, 2020 Rosenmüller J. Approximating Convex Bodies by Cephoids. Center for Mathematical Economics Working Papers. Vol 640. Bielefeld: Center for Mathematical Economics; 2020.We consider a class of comprehensive compact convex polyhedra called _Cephoids_.
Rosenmüller, Joachim
core