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Riesz Decompositions

Canadian Journal of Mathematics, 1974
All functions mentioned in this paper will be real-valued. If f1, f2, g are nonnegative functions on a set S that satisfy g ≦ f1 + f2, the Riesz decomposition problem associated with these data is to find functions gi on S such thatThe formulaalways furnishes a solution.
Nagel, Alexander, Rudin, Walter
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WARP Decompositions

SSRN Electronic Journal, 2017
The relation between Sen's decomposition of the weak axiom of revealed preferences (WARP), and WARP directional decomposition introduced in Nosratabadi (2017) is investigated. It is argued that the latter generalizes the former. A pairwise transitive WARP decomposition consistent with Sen's property a is given.
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Decomposition

2021
This chapter carefully attends to how decomposition principles are supposed to work, and how different variants and formulations affect the resulting theory in different ways. It begins with the philosophically familiar notion of Boolean complementation, and then gradually discusses ever weaker variants of this notion in the form of various ...
A. J. Cotnoir, Achille C. Varzi
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From the Sup-Decomposition to Sequential Decompositions

Journal of Mathematical Imaging and Vision, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hashimoto, Ronaldo Fumio   +1 more
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Vascular decomposition using weighted approximate convex decomposition

International Journal of Computer Assisted Radiology and Surgery, 2012
Stroke treatment often requires analysis of vascular pathology evaluated using computed tomography (CT) angiography. Due to vascular variability and complexity, finding precise relationships between vessel geometries and arterial pathology is difficult.
Ashirwad, Chowriappa   +6 more
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