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Foundations of Physics, 1973
It is argued that a reformulation of classical measure theory is necessary if the theory is to accurately describe measurements of physical phenomena. The postulates of a generalized measure theory are given and the fundamentals of this theory are developed, and the reader is introduced to some open questions and possible applications.
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It is argued that a reformulation of classical measure theory is necessary if the theory is to accurately describe measurements of physical phenomena. The postulates of a generalized measure theory are given and the fundamentals of this theory are developed, and the reader is introduced to some open questions and possible applications.
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Generalized Fuzzy Measurability
2015In this paper we introduce two concepts of generalized measurability for set-valued functions, namely \(\varphi\)-μ-total-measurability and \(\varphi\)-μ-measurability relative to a non-negative function \(\varphi: \mathcal{P}_{0}(X) \times \mathcal{P}_{0}(X) \rightarrow [0,+\infty )\) and a non-negative set function \(\mu: \mathcal{A}\rightarrow [0 ...
Anca Croitoru, Nikos Mastorakis
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Optimal Sampling for Generalized Linear Models Under Measurement Constraints
Journal of Computational and Graphical Statistics, 2021Tao Zhang, Yang Ning, David Ruppert
exaly
Molecular imaging in oncology: Current impact and future directions
Ca-A Cancer Journal for Clinicians, 2022Steven P Rowe, Martin G Pomper
exaly
Research in Drama Education: The Journal of Applied Theatre and Performance, 2011
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2018
In this chapter we continue the study of the integral functional $$ \mathscr {F}[u] := \int _\varOmega f(x, \nabla u(x)) \;\mathrm{d}x + \int _\varOmega f^\# \biggl ( x, \frac{\mathrm{d}D^s u}{\mathrm{d}|D^s u|}(x) \biggr ), \qquad u \in \mathrm {BV}(\varOmega ;\mathbb {R}^m), $$ for a Caratheodory integrand \(f :\varOmega \times \mathbb {R}^{m \
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In this chapter we continue the study of the integral functional $$ \mathscr {F}[u] := \int _\varOmega f(x, \nabla u(x)) \;\mathrm{d}x + \int _\varOmega f^\# \biggl ( x, \frac{\mathrm{d}D^s u}{\mathrm{d}|D^s u|}(x) \biggr ), \qquad u \in \mathrm {BV}(\varOmega ;\mathbb {R}^m), $$ for a Caratheodory integrand \(f :\varOmega \times \mathbb {R}^{m \
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