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Representing piecewise linear functions by functions with small arity
Applicable Algebra in Engineering, Communication and Computing, 2023 A piecewise linear function can be described in different forms: as an arbitrarily nested expression of $\min$- and $\max$-functions, as a difference of two convex piecewise linear functions, or as a linear combination of maxima of affine-linear functions.
Christoph Koutschan +3 more
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Further investigation "On an open problem of Zhang and Xu" [PDF]
Mathematica Bohemica, 2018 The purpose of the paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial. The result of the paper improves and generalizes the recent results due to X. B. Zhang and J. F. Xu (2011).
Sujoy Majumder
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Mathematics, 2019 In this paper, we investigate the value distribution of meromorphic solutions and their arbitrary-order derivatives of the complex linear differential equation f ′ ′ + A ( z ) f ′ + B ( z ) f = F ( z ) in Δ
Hai-Ying Chen, Xiu-Min Zheng
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Small sets and Markov transition densities [PDF]
, 2002 The theory of general state-space Markov chains can be strongly related to the case of discrete state-space by use of the notion of small sets and associated minorization conditions. The general theory shows that small sets exist for all Markov chains on
Montana, Giovanni +2 more
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Endothelial activation impairs the function of small extracellular vesicles
Frontiers in Pharmacology, 2023 Small extracellular vesicles are nanosized vesicles (30–200 nm) that can ferry proteins, nucleic acids, and lipids between cells and therefore, have significant potential as biomarkers, drug delivery tools or therapeutic agents.
Nicolas Herrera-Zelada +14 more
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A Simple Proof of the Chuang’s Inequality
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The purpose of this paper is to present a short proof of the Chuang’s inequality.
Chakraborty Bikash
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Values shared by meromorphic functions and their derivatives
Arab Journal of Mathematical Sciences, 2016 In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009 ...
Sujoy Majumder
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Emerging Roles of Small GTPases in Islet β-Cell Function
Cells, 2021 Several small guanosine triphosphatases (GTPases) from the Ras protein superfamily regulate glucose-stimulated insulin secretion in the pancreatic islet β-cell.
Rajakrishnan Veluthakal +1 more
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Induction and synchronization of oestrus in sheep and goats [PDF]
Journal of Central European Agriculture, 2021 Different methods for oestrus induction and synchronization in domestic small ruminants have been developed. Seasonality and female’s status are important factors for choosing the most appropriate treatment. In the case of females during breeding season,
Pavlo SKLIAROV +4 more
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Open Mathematics, 2016 In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
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