Results 61 to 70 of about 3,694,682 (291)
On the Lassak Conjecture for a Convex Body
Моделирование и анализ информационных систем, 2011 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
3D‐Printed Actuator Powered by Liquid Crystal Elastomer Muscles at the Water–Air Interface
Advanced Materials Technologies, EarlyView.Soft robots for unstructured environments require responsive, durable actuators. Liquid crystal elastomers (LCEs) provide large reversible deformations under thermal or optical stimuli. Direct ink writing enables fabrication of LCE actuators integrated with silicone, with mesogen chemistry and oligomers optimized for printable inks.
Cecilie Ryberg +5 more
wiley +1 more source
Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families
Journal of Applied Mathematics, 2016 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
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
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
Symmetry breaking and the geometry of reduced density matrices
New Journal of Physics, 2016 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
Mixed Functionals of Convex Bodies [PDF]
Discrete & Computational Geometry, 2000 In [NATO ASI Ser., Ser. C, Math. Phys. Sci. 440, 273-299 (1994; Zbl 0815.52003)], the author presented a formula expressing the mixed volume of polytopes in terms of volumes of lower-dimensional faces. Here, a similar representation is proved for the mixed functionals of translative integral geometry.
openaire +4 more sources
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
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
Origami‐Inspired Structural Design for Aquatic‐Terrestrial Amphibious Robots
Advanced Robotics Research, EarlyView.This work presents a lightweight amphibious origami robot actuated by a single shape memory alloy wire. A rigid foldable origami structure with displacement amplification enables efficient terrestrial crawling and aquatic swimming. The addition of fan‐shaped units allows controllable turning in both environments.
Weiqi Liu +5 more
wiley +1 more source