Results 81 to 90 of about 394,445 (282)

New class of solutions to Laplace equation: Regularized multipoles of negative orders

Physical Review Research, 2019
We introduce a new class of solutions to the Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates.
Matt Majic, Eric C. Le Ru
doaj   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Phase vortices from a Young's three-pinhole interferometer

, 2006
An analysis is presented of the phase vortices generated in the far field, by an arbitrary arrangement of three monochromatic point sources of complex spherical waves.
A. A. Abrikosov, A. G. Peele, A. Messiah, A. S. Desyatnikov, D. R. Tilley, David M. Paganin, Gary Ruben, J. F. Nye, L. M. Pismen, L. Pitaevskii, M. V. Berry, N. Heckenberg   +11 more
core   +1 more source

Complete Irreducibility and X-Spherical Representations

Journal of Functional Analysis, 1993
Let \(G\) be a locally compact group, \(K\) a compact subgroup and \(\chi:K \to \{| z |=1\}\) be a continuous homomorphism. Let \(\pi\) be a continuous representation of \(G\) on a complete locally convex space \(V\) such that the subspace \(V(\chi)=\{v \in V \mid \pi(k) v=\chi(k)v,\;k \in K\}\) is one-dimensional. The author shows that \(\pi\) is then
openaire   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Pose-Encoded Spherical Harmonics for Face Recognition and Synthesis Using a Single Image

EURASIP Journal on Advances in Signal Processing, 2007
Face recognition under varying pose is a challenging problem, especially when illumination variations are also present. In this paper, we propose to address one of the most challenging scenarios in face recognition.
Rama Chellappa, Wenyi Zhao, Zhanfeng Yue   +2 more
doaj   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
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

Spherical Fuzzy Graphs with Application to Decision-Making

Mathematical and Computational Applications, 2020
In a network model, the evaluation information given by decision makers are occasionally of types: yes, abstain, no, and refusal. To deal with such problems, we use mathematical models based on picture fuzzy sets.
Muhammad Akram, Danish Saleem, Talal Al-Hawary   +2 more
doaj   +1 more source

Spherical representations of C*-flows, I

, 2020
We propose an abstract framework of a kind of representation theory for $C^*$-flows, i.e., $C^*$-algebras equipped with one-parameter automorphism groups, as a proper generalization of Olshanski's formalism of unitary representation theory for infinite-dimensional groups such as the infinite-dimensional unitary group $\mathrm{U}(\infty)$.
openaire   +3 more sources

Spherical representations of Lie supergroups

Journal of Functional Analysis, 2015
The classical Cartan-Helgason theorem characterises finite-dimensional spherical representations of reductive Lie groups in terms of their highest weights. We generalise the theorem to the case of a reductive symmetric supergroup pair $(G,K)$ of even type. Along the way, we compute the Harish-Chandra $c$-function of the symmetric superspace $G/K$.
Alexander Alldridge, Sebastian Schmittner   +1 more
openaire   +2 more sources