Results 51 to 60 of about 6,047 (304)
The Extremal Function For Noncomplete Minors [PDF]
We investigate the maximum number of edges that a graph G can have if it does not contain a given graph H as a minor (subcontraction). Let $$c{\left( H \right)} = \inf {\left\{ {c:e{\left( G \right)} \geqslant c{\left| G \right|}{\text{implies}}{\kern 1pt} {\kern 1pt} G \succ H} \right\}}.$$We define a parameter γ(H) of the graph H and show that, if H ...
Joseph Samuel Myers +1 more
openaire +1 more source
Black hole attractors and the entropy function in four- and five-dimensional N=2 supergravity [PDF]
Extremal black holes in theories of gravity coupled to abelian gauge fields and neutral scalars, such as those arising in the low-energy description of compactifications of string theory on Calabi-Yau manifolds, exhibit the attractor phenomenon: on the ...
Perz, Jan
core
ABSTRACT Background Chronic limb‐threatening ischemia (CLTI) is a severe form of lower‐extremity artery disease characterized by distal lesions and microcirculatory impairment, limiting revascularization efficacy. Rheocarna is a direct hemoperfusion low‐density lipoprotein (LDL) adsorption device with potential rheological and anti‐inflammatory ...
Kunihiro Ishioka +12 more
wiley +1 more source
Sufficient optimality conditions based on functional increment formulas in control problems
A typical optimal control problem with convex terminal function is considered. Sufficient optimality conditions are obtained with the help non-standard functional increment formulas.
V.A. Srochko +2 more
doaj
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
An Extremal Problem for Univalent Functions
10 ...
SUGAWA, Toshiyuki, WANG, Li-Mei
openaire +3 more sources
Extremal Functions with Vanishing Condition [PDF]
We determine the optimal majorant $M^+$ and minorant $M^-$ of exponential type for the truncation of $x\mapsto (x^2+a^2)^{-1}$ with respect to general de Branges measures. We prove that \[ \int_\mathbb{R} (M^+ - M^-) |E(x)|^{-2}dx = \frac{1}{a^2 K(0,0)} \] where $K$ is the reproducing kernel for $\mathcal{H}(E)$.
Littmann, Friedrich, Spanier, Mark
openaire +2 more sources
The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
Sharp affine weighted L 2 Sobolev inequalities on the upper half space
We establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj +1 more source
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley +1 more source

