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Concept

Gleason's theorem

Related publications (6)

Functional estimation of anisotropic covariance and autocovariance operators on the sphere

Victor Panaretos, Julien René Fageot, Matthieu Martin Jean-André Simeoni, Alessia Caponera

We propose nonparametric estimators for the second-order central moments of possibly anisotropic spherical random fields, within a functional data analysis context. We consider a measurement framework where each random field among an identically distribute ...

2022

A Unifying Representer Theorem for Inverse Problems and Machine Learning

Michaël Unser

Regularization addresses the ill-posedness of the training problem in machine learning or the reconstruction of a signal from a limited number of measurements. The method is applicable whenever the problem is formulated as an optimization task. The standar ...

2021

Nanoscale Magnetometry with Single Fluorescent Nanodiamonds Manipulated in an Anti-Brownian Electrokinetic Trap

Metin Kayci

Studies on single-molecule spectroscopy and nanoscale detection have been remarkably driven by an interest to reveal quantum and conformational states of single particles, the intra-molecular dynamics and their response to physical observables hidden by en ...

EPFL2016

Amplitude analysis of e(+)e(-) -> Upsilon(nS)pi(+)pi(-) at root s=10.866 GeV

Olivier Schneider, Chao Wang, Yiming Li, Jun Yong Kim

We report results on studies of the e(+)e(-) annihilation into three-body Upsilon(nS)pi(+)pi(-) (n = 1, 2, 3) final states including measurements of cross sections and the full amplitude analysis. The cross sections measured at root s = 10.866 GeV and corr ...

American Physical Society2015

Phase properties of operator valued measures in phase space

Vivishek Sudhir

The Wigner phase operator (WPO) is identified as an operator valued measure (OVM) and its eigenstates are obtained. An operator satisfying the canonical commutation relation with the Wigner phase operator is also constructed and this establishes a Wigner d ...

Taylor & Francis Ltd2013

Integrating sphere for the optical analysis of luminescent materials

Frédéric Gumy

An integrating sphere for measuring quantum yield comprises a sample holder, for example a capillary (7) adapted to be placed in a quartz tube (12) comprised in the sphere, an inlet opening for introducing an excitation beam (10), and an outlet opening for ...

2009