Results 1 to 10 of about 4,848,832 (374)

Unit quaternions and the Bloch sphere [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2015
25 pages, 1 figure; Referee-inspired improvements; accepted for publication in J.
D. Koch, Ken Wharton
openaire   +5 more sources

On Minimal Hypersurfaces of a Unit Sphere [PDF]

open access: yesMathematics, 2021
Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A2<n are totally geodesic and with A2=n are Clifford hypersurfaces. Therefore, classifying totally geodesic hypersurfaces and Clifford hypersurfaces has importance in geometry of compact minimal hypersurfaces in Sn+1.
Amira Ishan   +3 more
openaire   +3 more sources

Two-Qubit Bloch Sphere [PDF]

open access: yesPhysics, 2020
Three unit spheres were used to represent the two-qubit pure states. The three spheres are named the base sphere, entanglement sphere, and fiber sphere.
Chu-Ryang Wie
doaj   +2 more sources

Rational points on the unit sphere [PDF]

open access: yesCentral European Journal of Mathematics, 2008
It is known that the unit sphere, centered at the origin in ℝ n , has a dense set of points with rational coordinates. We give an elementary proof of this fact that includes explicit bounds on the complexity of the coordinates: for every point ν on the unit sphere in ℝ n , and every ν >
Schmutz Eric
openaire   +2 more sources

The core of the unit sphere of a Banach space

open access: yesAIMS Mathematics
<abstract><p>A geometric invariant or preserver is essentially a geometric property of the unit sphere of a real Banach space that remains invariant under the action of a surjective isometry onto the unit sphere of another real Banach space.
Campos Jiménez, Almudena   +1 more
openaire   +4 more sources

Influence of the Lockdown on PM2.5 Concentrations around an Urban School in the South of Belgium

open access: yesAtmosphere, 2021
In 2020, the world was affected by an unprecedented health crisis. Europe had to close its internal and external borders, and the majority of countries had to impose lockdowns on their people.
Claudia Falzone   +2 more
doaj   +1 more source

Establishing an Air Quality Index Based on Proxy Data for Urban Planning Part 1: Methodological Developments and Preliminary Tests

open access: yesAtmosphere, 2022
In the last few decades, urban planning has expanded regarding environmental considerations. However, air quality, which is regarded as an important aspect of the green development of cities, is not considered in urban planning.
Claudia Falzone, Anne-Claude Romain
doaj   +1 more source

Finite frames, frame potentials and determinantal point processes on the sphere [PDF]

open access: yesStatist. Probab. Lett., 176C, (2021), 109129, 2021
Herein, we address the expectations of frame potentials of three types of determinantal point processes(DPPs) on the d-dimensional unit sphere: (i) spherical ensembles on the 2-dimensional unit sphere; (ii) harmonic ensembles on the d-dimensional unit sphere and (iii) jittered sampling point processes on the d-dimensional unit sphere.
arxiv   +1 more source

Identification of sources of DIF using covariates in patient-reported outcome measures: a simulation study comparing two approaches based on Rasch family models

open access: yesFrontiers in Psychology, 2023
When analyzing patient-reported outcome (PRO) data, sources of differential item functioning (DIF) can be multiple and there may be more than one covariate of interest. Hence, it could be of great interest to disentangle their effects.
Yseulys Dubuy   +6 more
doaj   +1 more source

Quality of Life in Young Adults With Cerebral Palsy: A Longitudinal Analysis of the SPARCLE Study

open access: yesFrontiers in Neurology, 2021
Introduction: While most people with cerebral palsy (CP) will have a life expectancy similar to that of the general population, international research has primarily focused on childhood and adolescence; and knowledge about the quality of life (QoL) of ...
Nicolas Vidart d'Egurbide Bagazgoïtia   +9 more
doaj   +1 more source

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