Results 71 to 80 of about 6,047 (304)
BERGMANN AND HARDY SPACES AND CONJUGATE OF THEM
Advanced Engineering Research, 2012 It is proved that space is strongly notmed, and is neither strongly notmed, nor uniformly convex. A standard form of the linear functionals over space and over metric spaces of 0 < p £ 1, is determined.
Galina Y. Ryabykh, Vladimir G. Ryabykh
doaj
On AdS 2 holography from redux, renormalization group flows and c-functions
Journal of High Energy Physics, 2019 Extremal black branes upon compactification in the near horizon throat region are known to give rise to AdS 2 dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile.
Kedar S. Kolekar, K. Narayan
doaj +1 more source
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.
Kevin Hendrey, David R. Wood
openaire +2 more sources
Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Extremal Problems for Graphs and Hypergraphs
, 2021 Given a fixed graph G and a positive integer n, the extremal number [Turan, 1941] denotes the maximum number of edges a graph on n vertices can have without copies of G.
Sayan Mukherjee (43870)
core +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Extremal functions for real convex bodies: simplices, strips, and ellipses
, 2021 We present an explicit method to compute the (Siciak-Zaharjuta) extremal function of a real convex polytope in terms of supporting simplices and strips.
Ma`u, Sione
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Weakening the nuclear envelope: Lamin B receptor in melanoma metastasis
Molecular Oncology, EarlyView.LBR‐driven nuclear fragility supports melanoma invasion. A: Melanocyte presents low LBR (Lamin B Receptor) levels, maintaining nuclear integrity and lamina‐chromatin tethering. B: During malignant progression, upregulation of LBR clusters at the INM (Inner Nuclear Membrane) during confined migration causes local lamina weakening and cholesterol ...
Francesca Lorenzini +1 more
wiley +1 more source
FEBS Open Bio, EarlyView.Amino acids sequence of two different proteins with the same sequence (chameleon sequence—black boxes) represent in 3D structure of the proteins different secondary structures: HHHH—helical and BBB—Beta‐structural. The chains folded in water environment adopt different III‐order structures in which the chameleon fragments appear to adopt similar status
Irena Roterman +4 more
wiley +1 more source
Existence of an extremal function of critical Sobolev embedding with an $\alpha $-homogeneous weight
Comptes Rendus. MathématiqueIn [Calc. Var. Partial Differ. Equ. 60 (2021), no. 1, article no. 16 (27 pages)], we revisited a critical Sobolev-type embedding for weighted Sobolev spaces as introduced in [J. Differ. Equations 255 (2013), no. 11, pp.
Gurka, Petr, Hauer, Daniel
doaj +1 more source