Fractional convexity
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Annalen"
DOI: 10.1007/s00208-021-02254-y
Abstract: We introduce a notion of fractional convexity that extends naturally the usual notion of convexity in the Euclidean space to a fractional setting. With this notion of fractional convexity, we study the fractional convex envelope… read more here.
Keywords: fractional convex; fractional convexity; convexity; convex envelope ... See more keywords
Scoliosis convexity and organ anatomy are related
Sign Up to like & getrecommendations! Published in 2017 at "European Spine Journal"
DOI: 10.1007/s00586-017-4970-5
Abstract: PurposePrimary ciliary dyskinesia (PCD) is a respiratory syndrome in which ‘random’ organ orientation can occur; with approximately 46% of patients developing situs inversus totalis at organogenesis. The aim of this study was to explore the… read more here.
Keywords: anatomy; organ anatomy; convexity; situs inversus ... See more keywords
Radon numbers and the fractional Helly theorem
Sign Up to like & getrecommendations! Published in 2019 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-021-2102-8
Abstract: A basic measure of the combinatorial complexity of a convexity space is its Radon number. In this paper we answer a question of Kalai, by showing a fractional Helly theorem for convexity spaces with bounded… read more here.
Keywords: numbers fractional; helly theorem; radon numbers; convexity ... See more keywords
Micro convexity elimination of tungsten carbide in electrical discharge milling for lens moulds
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Precision Engineering and Manufacturing"
DOI: 10.1007/s12541-017-0198-x
Abstract: Electrical discharge milling (ED milling) using spherical electrode is considered to fabricate tungsten carbide (WC) lens moulds for high volume and cost efficient mass production comparing with hemispherical electrode whose wear is noticeably larger. However,… read more here.
Keywords: discharge milling; electrical discharge; convexity; micro convexity ... See more keywords
Duality for nondifferentiable minimax fractional programming problem involving higher order $$(\varvec{C},\varvec{\alpha}, \varvec{\rho}, \varvec{d})$$(C,α,ρ,d)-convexity
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DOI: 10.1007/s12597-016-0295-0
Abstract: Abstract In this paper, we present new class of higher-order $$(C, \alpha , \rho , d)$$(C,α,ρ,d)-convexity and formulate two types of higher-order duality for a nondifferentiable minimax fractional programming problem. Based on the higher-order $$(C,… read more here.
Keywords: varvec; convexity; higher order; duality nondifferentiable ... See more keywords
Optimality and duality for vector optimization problem with non-convex feasible set
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DOI: 10.1007/s12597-019-00401-3
Abstract: The Karush–Kuhn–Tucker (KKT) optimality conditions are necessary and sufficient for a convex programming problem under suitable constraint qualification. Recently, several papers (Dutta and Lalitha in Optim Lett 7(2):221–229, 2013 ; Lasserre in Optim Lett 4(1):1–5,… read more here.
Keywords: convexity; problem; non convex; feasible set ... See more keywords
Resolution of a conjecture on the convexity of zeta functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.034
Abstract: Abstract We settle a conjecture of Cerone and Dragomir on the concavity of the reciprocal of the Riemann zeta function on ( 1 , ∞ ) . It is further shown in general that reciprocals… read more here.
Keywords: zeta; convexity; cerone dragomir; resolution conjecture ... See more keywords
Convexity Meningiomas in Patients with Neurofibromatosis Type-2: Long-term Outcomes after Gamma Knife Radiosurgery.
Sign Up to like & getrecommendations! Published in 2020 at "World neurosurgery"
DOI: 10.1016/j.wneu.2020.10.153
Abstract: OBJECTIVE Convexity meningiomas are common tumors requiring treatment in neurofibromatosis type-2 (NF-2) patients. Although different therapeutic options are reasonably characterized in sporadic convexity meningioma, much less is known about these lesions in NF-2 patients, despite… read more here.
Keywords: convexity meningiomas; meningiomas patients; convexity; gkrs ... See more keywords
Nonlinear magnetotransport shaped by Fermi surface topology and convexity
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DOI: 10.1038/s41467-019-09208-8
Abstract: The nature of Fermi surface defines the physical properties of conductors and many physical phenomena can be traced to its shape. Although the recent discovery of a current-dependent nonlinear magnetoresistance in spin-polarized non-magnetic materials has… read more here.
Keywords: temperature; surface topology; topology; convexity ... See more keywords
The modulation effect of the convexity of silicon topological nanostructures on the growth of mesenchymal stem cells
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DOI: 10.1039/c7ra00542c
Abstract: A series of different topological nanostructures are fabricated on silicon wafer using metal-assisted chemical etching. The modulation effect of these nanostructures on the size, filopodia generation and growth orientation of the rat mesenchymal stem cells… read more here.
Keywords: modulation; topological nanostructures; effect; convexity ... See more keywords
A sharp convexity result for sequential fractional delta differences
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1380635
Abstract: Abstract We prove that a class of convexity-type results for sequential fractional delta differences is sharp. More precisely, we consider the sequential fractional delta difference map , for , where , , and . We… read more here.
Keywords: delta differences; convexity; fractional delta; convexity type ... See more keywords