Publications related to Arc length

A Stability Theorem On Cube Tessellations

It is shown that if a d-dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval (1 - n1/d+1; 1], then n is a perfect d-th power and all cubes are of the same size. This result is essentially tight. ...

CARLETON UNIV, DEPT MATHEMATICS & STATISTICS2018

Dependence of the L-Mode scrape-off layer power fall-off length on the upper triangularity in TCV

Stefano Coda, Holger Reimerdes, Benoît Labit, Christian Gabriel Theiler, Antoine Pierre Emmanuel Alexis Merle, Roberto Maurizio, Bernhard Sieglin

This paper reports on experimental observations on TCV with a scan in upper triangularity

{\delta }_{\mathrm{up}}

, including negative triangularity, focusing on the power fall-off length

{\lambda }_{{\rm{q}}}

in L-Mode. The upper triangularity is scann ...

2018

Data-Driven Chance Constrained Programs over Wasserstein Balls

Daniel Kuhn, Zhi Chen, Wolfram Wiesemann

We provide an exact deterministic reformulation for data-driven chance constrained programs over Wasserstein balls. For individual chance constraints as well as joint chance constraints with right-hand side uncertainty, our reformulation amounts to a mixed ...

2018

Influence of the Linker Length on the Cytotoxicity of Homobinuclear Ruthenium(II) and Gold(I) Complexes

Paul Joseph Dyson, Rosario Scopelliti, Mylène Soudani, Emilia Paunescu, Lucinda Kate Batchelor

Dinudear metal complexes have emerged as a promising class of anticancer compounds with the ability to cross-link biomolecular targets. Here, we describe two novel series of phosphine-linked dinudear ruthenium(II) p-cyrnene and gold(I) complexes, in which ...

2017

A smartphone application to determine body length for body weight estimation in children: a prospective clinical trial.

Davide Scaramuzza

The aim of this study was to test the feasibility and accuracy of a smartphone application to measure the body length of children using the integrated camera and to evaluate the subsequent weight estimates. A prospective clinical trial of children aged 0–< ...

Springer Verlag2017

Decomposition of a Cube into Nearly Equal Smaller Cubes

János Pach

Let d be a fixed positive integer and let epsilon > 0. It is shown that for every sufficiently large n >= n(0)( d, e), the d-dimensional unit cube can be decomposed into exactly n smaller cubes such that the ratio of the side length of the largest cube to ...

Mathematical Assoc Amer2017

Exponentially long orbits in Hopfield neural networks

Wulfram Gerstner, Johanni Michael Brea, Samuel Pavio Muscinelli

We show that Hopfield neural networks with synchronous dynamics and asymmetric weights admit stable orbits that form sequences of maximal length. For N units, these sequences have length T = 2^N; that is, they cover the full state space. We present a mathe ...

Massachusetts Institute of Technology Press2017

Optical prism for creating multiple views of an image

Theo Lasser, Marcel Leutenegger, Stefan Geissbuehler

Optical prism comprising two external parallel and reflecting surfaces, one internal interface, parallel to said surfaces and acting as light splitter; said prism furthermore comprising an entrance side forming an angle β with respect to said interface and ...

2016

Seismic Behavior and Physical Theory Model of a Steel Brace with Intentional Eccentricity

Hiroyuki Inamasu

The present paper proposes an improved design of conventional steel braces (CBBs). CBBs are characterized by intense mid-length local buckling that leads to early fracture, limited post-yielding stiffness, and provide very large strength and stiffness. In ...

2016

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Victor Panaretos, Shahin Tavakoli

Motivated by the problem of inferring the molecular dynamics of DNA in solution, and linking them with its base-pair composition, we consider the problem of comparing the dynamics of functional time series (FTS), and of localizing any inferred differences ...

American Statistical Association2016

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A Stability Theorem On Cube Tessellations

Dependence of the L-Mode scrape-off layer power fall-off length on the upper triangularity in TCV

Data-Driven Chance Constrained Programs over Wasserstein Balls

Influence of the Linker Length on the Cytotoxicity of Homobinuclear Ruthenium(II) and Gold(I) Complexes

A smartphone application to determine body length for body weight estimation in children: a prospective clinical trial.

Decomposition of a Cube into Nearly Equal Smaller Cubes

Exponentially long orbits in Hopfield neural networks

Optical prism for creating multiple views of an image

Seismic Behavior and Physical Theory Model of a Steel Brace with Intentional Eccentricity

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics

Seismic Behavior and Physical Theory Model of a Steel Brace with Intentional Eccentricity

A Stability Theorem On Cube Tessellations

Exponentially long orbits in Hopfield neural networks

Influence of the Linker Length on the Cytotoxicity of Homobinuclear Ruthenium(II) and Gold(I) Complexes

A smartphone application to determine body length for body weight estimation in children: a prospective clinical trial.

Data-Driven Chance Constrained Programs over Wasserstein Balls

Dependence of the L-Mode scrape-off layer power fall-off length on the upper triangularity in TCV

Decomposition of a Cube into Nearly Equal Smaller Cubes

Optical prism for creating multiple views of an image

Detecting and Localizing Differences in Functional Time Series Dynamics: A Case Study in Molecular Biophysics