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Recent studies showed that hardness, a complex property, can be calculated using very simple approaches or even analytical formulae. These form the basis for evaluating controversial experimental results (as we illustrate for…

Materials Science · Physics 2010-09-29 A. R. Oganov , A. O. Lyakhov

This paper is concerned with the inverse problem of determining the shape of penetrable periodic scatterers from scattered field data. We propose a sampling method with a novel indicator function for solving this inverse problem. This…

Numerical Analysis · Mathematics 2023-05-24 Dinh-Liem Nguyen , Kale Stahl , Trung Truong

The level-set method is a popular interface tracking method in two-phase flow simulations. An often-cited reason for using it is that the method naturally handles topological changes in the interface, e.g. merging drops, due to the implicit…

Fluid Dynamics · Physics 2014-09-29 Åsmund Ervik , Karl Yngve Lervåg , Svend Tollak Munkejord

Apparent tissue surface tension allows the quantification of cell-cell cohesion and was reported to be a powerful indicator for the cellular rearrangements that take place during embryonic development or for cancer progression. The…

Biological Physics · Physics 2009-02-02 Abbas Mgharbel , Hélène Delanoë-Ayari , Jean-Paul Rieu

With growing applications of Machine Learning (ML) techniques in the real world, it is highly important to ensure that these models work in an equitable manner. One main step in ensuring fairness is to effectively measure fairness, and to…

Machine Learning · Computer Science 2024-06-21 Abdalwahab Almajed , Maryam Tabar , Peyman Najafirad

Statistical inference for large data panels is omnipresent in modern economic applications. An important benefit of panel analysis is the possibility to reduce noise and thus to guarantee stable inference by intersectional pooling. However,…

Methodology · Statistics 2022-12-15 Tim Kutta , Holger Dette

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

This work introduces a complexity measure which addresses some conflicting issues between existing ones by using a new principle - measuring the average amount of symmetry broken by an object. It attributes low (although different)…

Statistical Mechanics · Physics 2015-03-26 Roberto C. Alamino

State machine formalisms equipped with hierarchy and parallelism allow to compactly model complex system behaviours. Such models can then be transformed into executable code or inputs for model-based testing and verification techniques.…

Software Engineering · Computer Science 2017-10-24 Xavier Devroey , Gilles Perrouin , Maxime Cordy , Axel Legay , Pierre-Yves Schobbens , Patrick Heymans

We describe a method that uses total internal reflection at the water-air interface inside a large, transparent tank, to measure the interface's deflections. Using this configuration, we obtain an optical set-up where the liquid surface…

Fluid Dynamics · Physics 2021-10-26 Utkarsh Jain , Anaïs Gauthier , Devaraj van der Meer

Smoothing is omnipresent in astronomy, because almost always measurements performed at discrete positions in the sky need to be interpolated into a smooth map for subsequent analysis. Still, the statistical properties of different…

Astrophysics · Physics 2009-11-07 Marco Lombardi

Measuring the brightness of the night sky has become an increasingly important topic in recent years, as artificial lights and their scattering by the Earths atmosphere continue spreading around the globe. Several instruments and techniques…

Intensity interferometry removes the stringent requirements on mechanical precision and atmospheric corrections that plague all amplitude interferometry techniques at the cost of severely limited sensitivity. A new idea we recently…

Astrophysics · Physics 2009-11-11 Aviv Ofir , Erez N. Ribak

Flatness of sampled data systems can be characterized by a simple property. They must admit the transformation to special representations, which are the series or partial series connection of a Brunovsky normal form and a complement. It is…

Dynamical Systems · Mathematics 2019-09-04 Kurt Schlacher

Lift-off of sensor affects the prediction of electromagnetic properties for both ferrous and non-ferrous steel plates. In this paper, we developed a strategy to address this issue for ferrous plates. With increased lift-off, the phase of…

Signal Processing · Electrical Eng. & Systems 2019-05-31 Mingyang Lu , Ruochen Huang , Wuliang Yin , Qian Zhao , Anthony Peyton

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

Monocular depth estimation is an important task with rapid progress, but how to evaluate it is not fully resolved, as evidenced by a lack of standardization in existing literature and a large selection of evaluation metrics whose trade-offs…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Siyang Wu , Jack Nugent , Willow Yang , Jia Deng

This paper has several goals. The first idea is to study the geometric PDEs of connection-flatness, curvature-flatness, Ricci-flatness, scalar curvature-flatness in a modern and rigorous way. Although the idea is not new, our main Theorems…

Differential Geometry · Mathematics 2019-11-11 Iulia Hirica , Constantin Udriste , Gabriel Pripoae , Ionel Tevy

In this note I describe an inexpensive and simple laser-based method to measure the flatness of the LSST focal plane assembly (FPA) in situ, i.e. while the FPA is inside its cryostat, at -100 C and under vacuum. The method may also allow…

Astrophysics · Physics 2007-05-23 Willy Langeveld

Consistency, defined as the requirement that a series of measurements of the same project carried out by different raters using the same method should produce similar results, is one of the most important aspects to be taken into account in…

Software Engineering · Computer Science 2007-05-23 R. Asensio Monge , F. Sanchis Marco , F. Torre Cervigon