Results 71 to 80 of about 3,482,591 (285)
On the Lassak Conjecture for a Convex Body
In 1993 M. Lassak formulated (in the equivalent form) the following conjecture. If we can inscribe a translate of the cube $[0,1]^n$ into a convex body $C \subset R^n$, then $\sum_{i=1}^n \frac{1}{\omega_i} \geq 1$. Here $\omega_i$ denotes the width of $
M. V. Nevskii
doaj
A selection of points drawn from a convex polygon, no two with the same vertical or horizontal coordinate, yields a permutation in a canonical fashion.
Ruskuc, Nik +13 more
core +1 more source
A strain‐activated mechanical metamaterial is developed to achieve programmable dual‐phase stiffness through an intrinsic geometric locking mechanism. Finite element modeling and parametric analysis identify the key design parameters governing activation strain, stiffness transition, and energy absorption.
Ramin Yousefi‐Nooraie +3 more
wiley +1 more source
Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families
Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied.
Marco Longinetti +2 more
doaj +1 more source
Programmable Pneumatic Actuator System for a Bioinspired Artificial Colon
A modular soft robotic colon simulator driven by programmable pneumatic actuation is developed to mimic physiological and pathological‐like motility patterns of the large intestine. Finite element–guided design and distributed control enable anatomically realistic deformation for peristalsis, segmentation, and mass movements, supporting capsule ...
Andrew Bickerdike +6 more
wiley +1 more source
Learning Highly Dynamic Skills Transition for Quadruped Jumping Through Constrained Space
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
Ball and spindle convexity with respect to a convex body [PDF]
Let $C\subset {\mathbb R}^n$ be a convex body. We introduce two notions of convexity associated to C. A set $K$ is $C$-ball convex if it is the intersection of translates of $C$, or it is either $\emptyset$, or ${\mathbb R}^n$. The $C$-ball convex hull of two points is called a $C$-spindle.
Lángi, Zsolt +2 more
openaire +3 more sources
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
Symmetry breaking and the geometry of reduced density matrices
The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. We demonstrate that the existence of symmetry breaking is a consequence of the geometric structure of the ...
V Zauner +4 more
doaj +1 more source
Minimum convex partitions and maximum empty polytopes
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

