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We address the problem, not of the determination -- which usually needs numerical methods -- but of an accurate analytical estimation of the distance of a raw elasticity tensor to cubic symmetry and to orthotropy. We point out that there…

Classical Physics · Physics 2022-06-08 Rodrigue Desmorat , Boris Kolev

We show that distances of objects at cosmological distances can be measured directly using interferometry. Our approach to interferometric parallax comes from analysis of 4-point amplitude and intensity correlations that can be generated…

Astrophysics · Physics 2008-11-26 Pankaj Jain , John P. Ralston

Because of their enormous intrinsic brightness blue supergiants are ideal stellar objects to be studied spectroscopically as individuals in galaxies far beyond the Local Group. Quantitative spectroscopy by means of efficient multi-object…

Astrophysics · Physics 2015-06-24 Rolf-Peter Kudritzki , Norbert Przybilla

We describe a fast, optimal estimator for measuring angular bispectra between two correlated weakly non-Gaussian fields ($Y$ and $Z$) from observational datasets, based on a separable modal bispectrum expansion. Our methodology is…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-26 Maresuke Shiraishi , Michele Liguori , James R. Fergusson , E. P. S. Shellard

The measure of distance between two fuzzy sets is a fundamental tool within fuzzy set theory, however, distance measures currently within the literature use a crisp value to represent the distance between fuzzy sets. A real valued distance…

Artificial Intelligence · Computer Science 2014-09-04 Josie C. McCullochy , Chris J. Hinde , Christian Wagner , Uwe Aickelin

A new type of confocal microscope is described which makes use of intensity correlations between spatially correlated beams of light. It is shown that this apparatus leads to significantly improved transverse resolution.

Optics · Physics 2015-05-18 D. S. Simon , A. V. Sergienko

We develop estimators of agreement and disagreement between correlated cosmological data sets. These account for data correlations when computing the significance of both tensions and excess confirmation while remaining statistically…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-27 Marco Raveri , Georgios Zacharegkas , Wayne Hu

A distance measure is presented between two unitary propagators of quantum systems of differing dimensions along with a corresponding method of computation. A typical application is to compare the propagator of the actual (real) process…

Quantum Physics · Physics 2007-05-23 Robert L. Kosut , Matthew Grace , Constantin Brif , Herschel Rabitz

Recent works identified resolution limits for the distance between incoherent point sources. However, it remains unclear how to choose suitable observables and estimators to reach these limits in practical situations. Here, we show how…

Quantum Physics · Physics 2021-09-22 Giacomo Sorelli , Manuel Gessner , Mattia Walschaers , Nicolas Treps

Distance measurement is crucial to astronomy. Here we suggest a new conceptual method to measure the distance by using a local instrument. By engaging the double-slit interference and by considering the phase information of the light, the…

Instrumentation and Methods for Astrophysics · Physics 2020-06-17 Yuan-Chuan Zou

We consider position measurements using the cross-correlated output of two tunnel junction position detectors. Using a fully quantum treatment, we calculate the equation of motion for the density matrix of the coupled…

Mesoscale and Nanoscale Physics · Physics 2007-11-27 C. B. Doiron , B. Trauzettel , C. Bruder

We propose and examine the use of biphoton pairs, such as those created in parametric down conversion or four-wave mixing, to enhance the precision and the resolution of measuring optical displacements by position-sensitive detection. We…

Quantum Physics · Physics 2016-05-04 Kevin Lyons , Shengshi Pang , Paul G. Kwiat , Andrew N. Jordan

In this article we compare the cross-correlation and breakfinder techniques applied to the measurements of redshifts from low-resolution spectra. We assume spectra obtained from multinarrowband imagery, a technique for multi-object…

Astrophysics · Physics 2009-10-28 R. Cabanac , E. F. Borra

The cross-correlation between cosmic microwave background (CMB) gravitational lensing and large-scale structure tracers will be an important cosmological probe in the coming years. Quadratic estimators provide a simple and powerful (if…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-10 Giulio Fabbian , Antony Lewis , Dominic Beck

In a systematic review, we investigate current applications of ultrasound in locomotion research. Shortcomings in the range of view of ultrasound systems affect the direct validation of musculoskeletal simulations as inverse approaches have…

Quantitative Methods · Quantitative Biology 2020-01-22 Christoph Leitner , Christian Baumgartner , Christian Peham , Markus Tilp

I present an estimator for the angular cross-correlation of two tracers of the cosmological large-scale structure that utilizes redshift information to isolate separate physical contributions. The estimator is derived by solving the Limber…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Michael D. Schneider

We present a straightforward method for measuring the fluids' relative viscosity via a simple graphical analysis of the normalised position autocorrelation function of an optically trapped bead, without the need of embarking on laborious…

An intercomparison of microdosimetric and nanodosimetric quantities simulated Monte Carlo codes is in progress with the goal of assessing the uncertainty contribution to simulated results due to the uncertainties of the electron interaction…

We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of the Euclidean plane we prove an upper bound for their…

Combinatorics · Mathematics 2020-12-16 Ben Lund , Giorgis Petridis

Quasometry is precision measurement of celestial positions and apparent motion of very distant extragalactic objects, such as quasars, galactic nuclei, and QSOs. We use this term to identify a specific area of research, the methodology of…

Instrumentation and Methods for Astrophysics · Physics 2012-02-24 Valeri Makarov , Ciprian Berghea , David Boboltz , Christopher Dieck , Bryan Dorland , Rachel Dudik , Alan Fey , Ralph Gaume , Norbert Zacharias , Xuming Lei , Henrique Schmitt
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