Results 91 to 100 of about 606,802 (315)
A Removability Result for Holomorphic Functions of Several Complex Variables [PDF]
Suppose that Ω is a domain of Cn, n > 1, E ⊂ Ω closed in W, the Hausdorff measure H2n-1(E)=0, and f is holomorphic in Ω/E. It is a classical result of Besicovitch that if n = 1 and f is bounded, then f has a unique holomorphic extension to Ω. Using an
Juhani Riihentaus
core +2 more sources
On a manifold or a closed subset of a Euclidean vector space, a retraction enables to move in the direction of a tangent vector while staying on the set. Retractions are a versatile tool to perform computational tasks such as optimization, interpolation, and numerical integration.
openaire +3 more sources
APPLICATIONS OF Θ-CLOSED AND U-CLOSED SETS
Fop every Hausdorff space X the spaces XΘ and Xu are introduced. If X is H-closed (Urysohn-closed) then XΘ (Xu) is compact T1-space. If f: X->Y is a mapping, then there exist the mappings fΘ:XΘ->YΘ and fu: Xu->Yu. We say that f : X->Y is a Θ-closed (u-closed) mapping if fΘ (fu) is a closed mapping.
openaire +4 more sources
Biophysical approaches for studying viral entry
Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
wiley +1 more source
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
called mildly Ig-open sets in ideal topological spaces is introducedand the notion of mildly Ig-closed sets in ideal topological spacesis studied.
O. Ravi, R.Senthil Kumarb
doaj
Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
wiley +1 more source
On the New Notion of the Set-Expectation for a Random Set of Events [PDF]
The paper introduces new notion for the set-valued mean set of a random set. The means are defined as families of sets that minimize mean distances to the random set.
Vorobyev, Oleg Yu., Vorobyev, Alexey O.
core +1 more source
Between semi-closed sets and semi-pre-closed set [PDF]
In this paper a new class of sets, namely $\psi-\mathbf{closed\: set}$ is introduced for topological spaces. This class falls strictly in between the class of semi-closed sets and the class of semipreclosed sets.
Veera Kumar, M.K.R.S.
core
Smoothness and Monotone Decreasingness of the Solution to the BCS-Bogoliubov Gap Equation for Superconductivity [PDF]
We show the temperature dependence such as smoothness and monotone decreasingness with respect to the temperature of the solution to the BCS-Bogoliubov gap equation for superconductivity. Here the temperature belongs to the closed interval [0,t] with t &
null Shuji Watanabe +3 more
core +1 more source

