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Hilbert Metric in the Unit Ball [PDF]

open access: yesStudia Scientiarum Mathematicarum Hungarica, 2023
The Hilbert metric between two points š‘„, š‘¦ in a bounded convex domain šŗ is defined as the logarithm of the cross-ratio š‘„, š‘¦ and the intersection points of the Euclidean line passing through the points š‘„, š‘¦ and the boundary of the domain.
O. Rainio, M. Vuorinen
semanticscholar   +3 more sources

Triangular ratio metric in the unit disk [PDF]

open access: yesComplex Variables and Elliptic Equations, 2020
The triangular ratio metric is studied in a domain , . Several sharp bounds are proven for this metric, especially in the case where the domain is the unit disk of the complex plane.
O. Rainio, M. Vuorinen
semanticscholar   +7 more sources

Dealing with Metric Unit Conversion: An Examination of Prospective Science Teachers’ Knowledge of and Difficulties with Conversion

open access: yesScience Education International, 2018
The aim of this study was to examine prospective science teachers’ knowledge of and difficulties with the metric unit conversion. The participants of the study were 73 prospective science teachers.
Emrah Oğuzhan Dinçer, A. Osmanoğlu
semanticscholar   +3 more sources

Unit-cell volume change as a metric of radiation damage in crystals of macromolecules. [PDF]

open access: bronzeJournal of Synchrotron Radiation, 2002
The use of third-generation synchrotron sources has led to renewed interest in the effect that ionizing radiation has on crystalline biological materials. Simple criteria have been sought to study the effects systematically.
R. Ravelli   +3 more
semanticscholar   +2 more sources

Critical review of the levelised cost of energy metric

open access: yesSouth African Journal of Industrial Engineering, 2016
The purpose of this paper is to critically review the ā€˜levelised cost of energy’ metric used in electricity project development. This metric is widely used, because it is a simple metric to calculate the cost per unit of electricity for a given ...
M. Sklar-Chik, A. Brent, I. D. Kock
semanticscholar   +3 more sources

Radial balanced metrics on the unit disk

open access: bronzeJournal of Geometry and Physics, 2009
Let $ $ be a strictly plurisubharmonic and radial function on the unit disk ${\cal D}\subset {\complex}$ and let $g$ be the \K metric associated to the \K form $ =\frac{i}{2}\partial\bar\partial $. We prove that if $g$ is $g_{eucl}$-balanced of height 3 (where $g_{eucl}$ is the standard Euclidean metric on ${\complex}={\real}^2$), and the function ...
Antonio Greco, Andrea Loi
openalex   +5 more sources

Wasserstein‐metric‐based distributionally robust optimization method for unit commitment considering wind turbine uncertainty [PDF]

open access: goldEngineering Reports, 2023
The penetration of wind turbines in the power grid is increasing rapidly. Still, the wind turbine output power has uncertainty, leading to poor grid reliability, affecting the grid's dispatching plan, and increasing the total cost.
Gengrui Chen   +5 more
openalex   +2 more sources

Scalar curvature of a metric with unit volume

open access: yesMathematische Annalen, 1987
For a compact n-manifold M equipped with a conformal class C of Riemannian metrics, \(\mu\) (M,C) is defined as the infimum of the Yamabe functional; \(\mu (M,C)=\inf \{\int _{M}R_ gdv_ g;\quad g\in C\quad and\quad Vol(M,g)=1\},\) where \(R_ g\) is the scalar curvature of g. Let \(\mu (M)=\sup _{C}\mu (M,C)\). Then the set \({\mathcal S}(M)=\{R_ g\in C^
Osamu Kobayashi
semanticscholar   +4 more sources

Threshold units: A correct metric for reaction time? [PDF]

open access: bronzeVision Research, 2007
To compare reaction time (RT) to rod incremental and decremental stimuli expressed in physical contrast units or psychophysical threshold units.Rod contrast detection thresholds and suprathreshold RTs were measured for Rapid-On and Rapid-Off ramp stimuli.Threshold sensitivity to Rapid-Off stimuli was higher than to Rapid-On stimuli.
Andrew J. Zele   +2 more
openalex   +4 more sources

Unit Size Determination for Exploratory Brain Imaging Analysis: A Quest for a Resolution-Invariant Metric

open access: goldMathematics
Defining an adequate unit size is often crucial in brain imaging analysis, where datasets are complex, high-dimensional, and computationally demanding. Unit size refers to the spatial resolution at which brain data is aggregated for analysis.
Jihnhee Yu, H. R. Lee, Zohara Sternberg
openalex   +3 more sources

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