Results 141 to 150 of about 10,934,899 (375)
Dual
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
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New integral inequalities via $(α,m)$-convexity and quasi-convexity [PDF]
In this paper, we establish some new integral inequalities for $(\alpha, m)-$convex functions and quasi-convex functions, respectively. Our results in special cases recapture known results.
arxiv
Convex distribution of the zeros of Sturm-Liouville functions [PDF]
Einar Hille
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CO2 laser ablation, a fast, inexpensive, and reproducible method, is used to create flexible elastomer molds with millimeter‐long cavities for the fabrication of dissolvable polymer needles. Made from PVP, these milli‐needles achieve ≈560 µm penetration into porcine skin, demonstrating their potential for effective transdermal drug delivery.
Matteo Tollemeto+7 more
wiley +1 more source
A characterization of convex function
AbstractIf C ⊆ Rn be a nonempty convex set, then f: C → R is convex function if and only if it is a quasiconvex function on C and there exists some α ∈ (0, 1) such that f(ax+1(1−α)y)≤αf(x)+(1−α)f(y), ∀x,y ϵC.
Xiaoqi Yang, Kok Lay Teo, Xinmin Yang
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Predicting a stationary process when the correlation function is convex [PDF]
Jaroslav Hájek
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Carbon dot‐doped silica xerogel phosphors derived by Sol–Gel method exhibit brilliant white light, making them promising candidates for next‐generation endoscopes. The approach offers a sustainable, scalable solution for the development of advanced endoscopic devices with enhanced imaging capabilities and reduced environmental impacts.
Hirohisa Iwabayashi+5 more
wiley +1 more source
A Note on Optimality Conditions for DC Programs Involving Composite Functions
By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.
Xiang-Kai Sun, Hong-Yong Fu
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Convex-transitivity and function spaces [PDF]
If X is a convex-transitive Banach space and 1\leq p\leq \infty then the closed linear span of the simple functions in the Bochner space L^{p}([0,1],X) is convex-transitive. If H is an infinite-dimensional Hilbert space and C_{0}(L) is convex-transitive, then C_{0}(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces
arxiv
The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities [PDF]
T. W. Anderson
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