Results 41 to 50 of about 5,545 (117)
Two proofs are offered for the inequality \[ x_ 1^{1/n}x_ 2^{1/n}...x_ n^{1/n}(1-x_ 1)^{-1/n}(1-x_ 2)^{-1/n}...(1- x_ n)^{-1/n}\leq (x_ 1+x_ 2+...+x_ n)(n-x_ 1-x_ 2-x_ n)^{-1} \] (x\({}_ k\in]0,1/2]\), \(k=1,2,...,n)\) with \(= iff\) \(x_ 1=x_ 2=...=x_ n\). [For a generalization see \textit{N. Levison}, J. Math. Anal. Appl.
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Coincidence theorems and minimax inequalities in abstract convex spaces [PDF]
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Mohsen Rostamian Delavar +5 more
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Toward an SDG‐Based Typology for US Nonprofits
ABSTRACT The Sustainable Development Goals (SDGs) represent an emerging institutional logic that nonprofits must navigate alongside existing sector‐specific frameworks. Drawing on institutional logics and organizational hybridity theories, we examine how nonprofits incorporate SDGs into their missions and what this reveals about managing institutional ...
Dominik S. Meier, Elizabeth Searing
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There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
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On the Ky Fan inequality and some of its applications
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José Luis Díaz-Barrero +2 more
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Testing for Network Specificity in Brain‐Behavior Associations Using Ordinal Dominance Curves
NETDOM is a novel statistical framework for testing whether brain–behavior associations within a region of interest are both significantly greater than zero and larger than associations outside of the selected region. ABSTRACT Interpreting brain‐behavior relationships through the lens of anatomical parcellations or functional networks is commonplace in
Noah Hillman +13 more
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On Some Generalized Ky Fan Minimax Inequalities [PDF]
AbstractSome generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
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Chebyshev inequality in function spaces
In this interesting paper, the authors study the classical Chebyshev inequality and prove new variants, generalizations and abstractions. Among these are Chebyshev's inequality for strongly increasing functions, positive convex and concave functions ...
Maligranda, Lech, +3 more
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Impact of Doi Moi Agricultural Reforms on Vietnamese Crop Production
ABSTRACT This study uses a natural experiment design to evaluate the effects of the Doi Moi revolution in Vietnam on production outcomes for the country's five largest crops (rice, coffee, tea, cassava, and rubber). We test whether Doi Moi reforms had statistically measurable impacts on agricultural production using the synthetic control method (SCM ...
Youngjune Kim, K. Aleks Schaefer
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