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The Unified Description of Abstract Convexity Structures
AxiomsThe convexity of space is essential in nonlinear analysis, variational inequalities and optimization theory because it guarantees the existence and uniqueness of solutions to a certain extent.
Chunrong Mo, Yanlong Yang
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A New Approach to the Fuzzification of Convex Structures [PDF]
Journal of Applied Mathematics, 2014 A new approach to the fuzzification of convex structures is introduced. It is also called an M-fuzzifying convex structure. In the definition of M-fuzzifying convex structure, each subset can be regarded as a convex set to some degree.
Fu-Gui Shi, Zhen-Yu Xiu
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Convexity theory for the term structure equation [PDF]
Finance and Stochastics, 2007 We study convexity and monotonicity properties for prices of bonds and bond options when the short rate is modeled by a diffusion process. We provide conditions under which convexity of the price in the short rate is guaranteed. Under these conditions the price is decreasing in the drift and increasing in the volatility of the short rate. We also study
Erik Ekström, Johan Tysk
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Visual reversals and biases while observing ambiguous spinning biological motion and rigid structure-from-motion. [PDF]
PLoS ONEWe examined perceived reversal rates and biases as observers viewed four ambiguous, motion-defined depth asymmetric point-light stimuli: a biological motion stimulus in the form of a spinning point-light walker (PLW), a rigidly spinning human figure, a ...
Leo Poom, Wilma Loogna, Edvin Carstensen
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Applications ~of $Q$-hypergeometric and Hurwitz-Lerch Zeta Functions on Meromorphic Functions [PDF]
Mathematics Interdisciplinary Research, 2023 A new subclass of meromorphic univalent functions by using the q-hypergeometric and Hurwitz-Lerch Zeta functions is defined. Also, by applying the generalized Liu-Srivastava operator on meromorphic functions, some geometric properties of the new ...
Seyed Hadi Sayedain Boroujeni +1 more
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Computing hereditary convex structures [PDF]
Proceedings of the twenty-fifth annual symposium on Computational geometry, 2009 Motivated by a question of \textit{A. Aggarwal, L. J. Guibas, J. Saxe} and \textit{P. W. Shor} [Discrete Comput. Geom. 4, No. 6, 591--604 (1989; Zbl 0696.68045)], the first theorem of the authors shows that given any set \(P\) of \(n\) points in \({\mathbb R}^3\) in general convex position, colored red and blue, and given the convex hull of \(P\), the ...
Bernard Chazelle, Wolfgang Mulzer
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Cephalometrically analysis of the convexity angle [PDF]
Stomatološki glasnik Srbije, 2003 The convexity angle of facial bone structures ( N-A: A-Pg) expresses the sagittal protrusion of the maxillary part of the face compared to facial profile (the convex or concave face).The convexity angle is defined as the angle colligated by the lines N-A
Strajnić Ljiljana
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Some Modulus and Normal Structure in Banach Space
Journal of Inequalities and Applications, 2009 We present some sufficient conditions for which a Banach space X has normal structure in terms of the modulus of U-convexity, modulus of W∗-convexity, and the coefficient R(1,X), which generalized some well-known results.
Zhanfei Zuo, Yunan Cui
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Hydrological networks and associated topographic variation as templates for the spatial organization of tropical forest vegetation. [PDF]
PLoS ONE, 2013 An understanding of the spatial variability in tropical forest structure and biomass, and the mechanisms that underpin this variability, is critical for designing, interpreting, and upscaling field studies for regional carbon inventories. We investigated
Matteo Detto +3 more
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CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
Ural Mathematical Journal, 2023 This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
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