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Extremal symmetrization of aggregation functions
Annals of Operations Research, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radko Mesiar +2 more
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The extremal function for Petersen minors [PDF]
Journal of Combinatorial Theory Series B, 2018 We prove that every graph with $n$ vertices and at least $5n-8$ edges contains the Petersen graph as a minor, and this bound is best possible. Moreover we characterise all Petersen-minor-free graphs with at least $5n-11$ edges. It follows that every graph containing no Petersen minor is 9-colourable and has vertex arboricity at most 5.
David Wood, Kevin Hendrey
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Functional metagenomics of extreme environments
Current Opinion in Biotechnology, 2016The bioprospecting of enzymes that operate under extreme conditions is of particular interest for many biotechnological and industrial processes. Nevertheless, there is a considerable limitation to retrieve novel enzymes as only a small fraction of microorganisms derived from extreme environments can be cultured under standard laboratory conditions ...
Salvador, Mirete +2 more
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On Extremal Functions in Inequalities for Entire Functions
Mathematical NoteszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Assessment of Upper Extremity Function
The Journal of Hand Surgery, 2019Assessment of upper extremity function either before or after surgical treatment has been a rapidly evolving field. A reproducible, accurate, and valid assessment tool provides the ability to compare surgical interventions, evaluate physical therapy regimens, and assess novel assistive and restorative technologies.
Christina M, Webber +2 more
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CARDIOVASCULAR FUNCTION IN EXTREME OBESITY
Acta Medica Scandinavica, 1973AbstractCardiovascular function in 19 patients with obesity has been studied by electrocardiography (ECG), exercise test, determination of heart and blood volumes, and right heart catheterization. Pathological ECG findings appeared in one patient at rest and during exercise, and in another only during exercise.
L, Backman +3 more
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Extremal functions for rooted minors
Journal of Graph Theory, 2008AbstractThe graph G contains a graph H as a minor if there exist pairwise disjoint sets {Si ⊆ V(G)|i = 1,…,|V(H)|} such that for every i, G[Si] is a connected subgraph and for every edge uv in H, there exists an edge of G with one end in Su and the other end in Sv. A rooted H minor in G is a minor where each Si of the minor contains a predetermined xi ∈
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Extremal Problems for Eigenvalue Functionals
SIAM Journal on Mathematical Analysis, 1985We consider the eigenvalues, \(\lambda_ n(\rho)\), of self-adjoint Sturm- Liouville systems to be real valued functionals of certain coefficient functions in the differential equation. We introduce a classical (in general nonlinear) functional K(\(\rho)\) which is tangent to \(\lambda_ n(\rho)\) at a fixed function \(\rho^*\).
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On extremal points of quasiconvex functions
Mathematical Programming, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadrature and Extremal Bandlimited Functions
SIAM Journal on Mathematical Analysis, 2013Let $\mathcal{A}(\delta)$ be the class of functions of exponential type $\delta>0$. We prove that for integrable $F\in\mathcal{A}(2\pi \delta)$ $\int_{-\infty}^\infty F(x) dx = \delta^{-1}\sum_{\xi\in\mathcal{T}_{\gamma,r}} (1-\frac{\gamma}{\pi(\xi^2+\gamma^2)+\gamma}) F(\delta^{-1}\xi)$, where $\mathcal{T}_{\gamma,r}$ is the set of zeros of $B_{\gamma,
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