Concept

Length

Related publications (80)

Short homology bases for hyperelliptic hyperbolic surfaces

Given a hyperelliptic hyperbolic surface S of genus g >= 2, we find bounds on the lengths of homologically independent loops on S. As a consequence, we show that for any lambda is an element of (0, 1) there exists a constant N(lambda) such that every such ...

Jerusalem2023

Comment on “Groundwater Affects the Geomorphic and Hydrologic Properties of Coevolved Landscapes” by Litwin et al.

Sara Bonetti, Shashank Kumar Anand

The objective of this comment is to correct two sets of statements in Litwin et al. (2022, https://doi.org/10.1029/2021JF006239), which consider our research work (Bonetti et al., 2018, https://doi.org/10.1098/rspa.2017.0693; Bonetti et al., 2020, https:// ...

2022

Atomic length in Weyl groups

Thomas Gerber

We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial and representation-theoretic properties. In finite types, we show a number of properties of the atomic length which are reminiscent of the properties of the ...

2022

Planar Equilibria of an Elastic Rod Wrapped Around a Circular Capstan

Harmeet Singh

We present a study on planar equilibria of a terminally loaded elastic rod wrapped around a rigid circular capstan. Both frictionless and frictional contact between the rod and the capstan are considered. We identify three cases of frictionless contact - n ...

SPRINGER2022

BEM Study of the Contact between Rough Surfaces for Dry and Lubricated Condition

Shijun Yin

Friction is one of the most important topics in contact mechanics and the real contact area plays a significant role in determining the emergent friction properties. We study the detachment of the original contact clusters during the surface sliding. The e ...

2021

Plucking Motions for Tea Harvesting Robots Using Probabilistic Movement Primitives

This study proposes a harvesting robot capable of plucking tea leaves without cutting them with blades. To harvest high-quality tea, it is necessary to reproduce the plucking motion of breaking the petiole of the leaf, that is, the complicated human hand m ...

2020

On the Volume of the John-Lowner Ellipsoid

Grigory Ivanov

We find an optimal upper bound on the volume of the John ellipsoid of a k-dimensional section of the n-dimensional cube, and an optimal lower bound on the volume of the Lowner ellipsoid of a projection of the n-dimensional cross-polytope onto a k-dimension ...

SPRINGER2020

A detailed view on the rebar–to–concrete interaction based on refined measurement techniques

Aurelio Muttoni, Miguel Fernández Ruiz, Raffaele Cantone

Simplified assumptions have traditionally been made on the rebar–to–concrete interaction in structural concrete to calculate the stress state in rebars. Such assumptions typically consider a uniform stress state in the reinforcement at a given cross sectio ...

2020

Attosecond coherent manipulation of electrons in tunneling microscopy

Klaus Kern

Nanoelectronic devices operating in the quantum regime require coherent manipulation and control over electrons at atomic length and time scales. We demonstrate coherent control over electrons in a tunnel junction of a scanning tunneling microscope by mean ...

AMER ASSOC ADVANCEMENT SCIENCE2020

Production of phosphorene nanoribbons

Vasiliki Tileli

Phosphorene is a mono-elemental, two-dimensional (2D) substance with outstanding, highly directional properties and a bandgap that depends on the number of layers of the material(1-8). Nanoribbons, meanwhile, combine the flexibility and unidirectional prop ...

NATURE PUBLISHING GROUP2019

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