Results 1 to 10 of about 515,424 (173)

How Quantum Mechanics Requires Non-Additive Measures. [PDF]

Entropy (Basel), 2023
Measure theory is used in physics, not just to capture classical probability, but also to quantify the number of states. In previous works, we found that state quantification plays a foundational role in classical mechanics, and, therefore, we set ...
Carcassi G, Aidala CA.
europepmc   +5 more sources

Additivity and non-additivity of multipartite entanglement measures [PDF]

New Journal of Physics, 2010
We study the additivity property of three multipartite entanglement measures, i.e. the geometric measure of entanglement (GM), the relative entropy of entanglement and the logarithmic global robustness. First, we show the additivity of GM of multipartite
Acín A, Barreiro J T Schindler P Guhne O Monz T Chwalla M Roos C F Hennrich M Blatt R, Bhatia R, Chen L Xu A Zhu H, Christandl M Schuch N Winter A, Hayashi M, Hayden P M, Horn R, Huangjun Zhu, Hume D B Chou C W Rosenband T Wineland D J, Ivanov S S Ivanov P A Linington I E Vitanov N V, Lavoie J Kaltenbaek R Piani M Resch K, Lin Chen, Linden N Popescu S Schumacher B Westmoreland B, Markham D, Markham D, Masahito Hayashi, Orús R Wei T-C, Plastino A R, Plastino A R Manzano D Dehesa J S, Plenio M B, Plenio M B, Rains E M, Streltsov A Kampermann H Bruss D, Tamaryan S Kim H Kim M S Jang K S Park D K, Van den Nest M, Vedral V, Vedral V, Wei T-C, Wei T-C Severini S, Werner R F Holevo A S, Yura F   +31 more
core   +4 more sources

On Independence For Non-Additive Measures, With a Fubini Theorem [PDF]

Journal of Economic Theory, 1995
Recent models of decision making represent agents' beliefs by non-additive set-functions. An important technical question which arises in applications to diverse areas of economics is how to define independence of such set-functions.
Ghirardato, Paolo
core   +5 more sources

A Philosophical Foundation of Non-Additive Measure and Probability [PDF]

Theory and Decision, 2018
In this paper, non-additivity of a set function is interpreted as a method to express relations between sets which are not modeled in a set theoretic way.
Maaß, Sebastian
core   +5 more sources

Flexible statistical approaches for modeling nonlinear relationships in diabetes prediction using splines, Bayesian kernel regression and Bayesian regression trees. [PDF]

Discov Anal
Modeling nonlinear relationships is a fundamental challenge in statistical analysis, particularly when predictors exhibit complex and interacting effects on outcomes.
Ranathungage TD, Blumer H, Muthukumarana S.   +2 more
europepmc   +2 more sources

Modeling contributions of cognition and apathy to functional impairment in younger-onset dementia. [PDF]

Alzheimers Dement (Amst)
INTRODUCTION Overlaps in symptom presentation limits the capacity to predict functional impairment and future care needs in younger‐onset dementia syndromes.
Warren SL, Ahmed RM, Piguet O, Foxe D, Irish M.   +4 more
europepmc   +2 more sources

Spaces of non-additive measures generated by triangular norms

Математичні Студії, 2023
We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
doaj   +1 more source

The Association Between Genomic Heterozygosity and Carcass Merit in Cattle

Frontiers in Genetics, 2022
The objective of the present study was to quantify the association between both pedigree and genome-based measures of global heterozygosity and carcass traits, and to identify single nucleotide polymorphisms (SNPs) exhibiting non-additive associations ...
David Kenny, David Kenny, Tara R. Carthy, Craig P. Murphy, Roy D. Sleator, Ross D. Evans, Donagh P. Berry   +6 more
doaj   +1 more source

Non-Additive Quantity Measurement Model

Devices and Methods of Measurements, 2022
This work considers a model for measuring non-additive quantities, in particular a model for subjective measurement. The purpose of this work was to develop the measurement theory and form of a measurement model that uses the corrected S. Stevens measurement model.A generalized structure was considered that included an empirical system, a mathematical ...
Romanchak, V. M., Serenkov, P. S.
openaire   +3 more sources

Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition

Mathematics, 2023
In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
doaj   +1 more source