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Inequality Measurement for Bounded Variables. [PDF]

Health Econ
Permanyer I, Seth S, Yalonetzky G.
europepmc   +1 more source

Pareto optimality reveals an atlas of cellular archetypes. [PDF]

Proc Natl Acad Sci U S A
Crowley G, Alon U, Quake SR.
europepmc   +1 more source

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Functions of bounded variation and polarization

Mathematische Nachrichten, 2009
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
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Functionals of Bounded Frechet Variation

Canadian Journal of Mathematics, 1949
In a series of papers which will follow this paper the authors will present a theory of functionals which are bilinear over a product A × B of two normed vector spaces A and B. This theory will include a representation theory, a variational theory, and a spectral theory.
Morse, Marston, Transue, William
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Functions of Bounded Variation

2000
Abstract This chapter is entirely devoted to functions of bounded variation and sets of finite perimeter. We have collected several results scattered in the literature, from classical ones up to recent developments, trying to give a self-contained and unified treatment of this topic.
Luigi Ambrosio, Nicola Fusco, Diego Pallara   +2 more
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Composing Functions of Bounded ϕ-Variation

Proceedings of the American Mathematical Society, 1986
Functions of bounded \(\phi\)-variation appeared first in a paper of \textit{N. Wiener} [Massachusetts J. Math. 3, 72-94 (1924)]. Afterwards it was studied by others leading to generalizations and different perspectives. A \(\phi\)-function what is understood as far as this paper is concerned is a continuous, unbounded, non-decreasing function on \([0,\
Ciemnoczołowski, J., Orlicz, W.
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Functions of Bounded Variation�and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
CIANCHI, ANDREA, N. FUSCO
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Functions of Bounded Variation

2015
We know that if f is integrable, then the lower and upper sums of every partition F approximate its integral from below and above, and so the difference between either sum and the integral is at most \(S_{F} - s_{F} =\varOmega _{F}\), the oscillatory sum corresponding to F.
Miklós Laczkovich, Vera T. Sós
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