Results 41 to 50 of about 21,194 (269)

Tensor Algebras in Finite Tensor Categories [PDF]

International Mathematics Research Notices, 2019
Abstract This paper introduces methods for classifying actions of finite-dimensional Hopf algebras on path algebras of quivers and more generally on tensor algebras $T_B(V)$ where $B$ is semisimple. We work within the broader framework of finite (multi-)tensor categories $\mathcal{C}$, classifying tensor algebras in $\mathcal{C}$ in ...
Etingof, Pavel, Kinser, Ryan, Walton, Chelsea   +2 more
openaire   +3 more sources

Mapping Childhood Cancer Care Services in Oceania: Methodological Lessons From the SIOP Global Mapping Programme

Pediatric Blood &Cancer, EarlyView.
ABSTRACT The International Paediatric Oncology Society Global Mapping Programme aims to collect data on global paediatric oncology services by continent, with Africa and Latin America completed. This study reports on the methodology and lessons learned for Oceania, a unique continent with resource disparity across countries, multiple small island ...
Trisha Soosay Raj, Christy Noble, Amy Gray, Daniel C. Moreira, Jennifer Lowe, Maite Gorostegui, Gwenda Anga, Andrew Soma, Milena Lay Dos Santos, Siobhan Cross, Erin Luttrell, Michael Sullivan, Julie Cayrol, Julia Challinor, Neil Ranasinghe, Jordana McLoone, Claire E. Wakefield   +16 more
wiley   +1 more source

New Mathematics for Computer Performance: Array Algebra and Cost Functions

Mathematics
MoA (mathematics of arrays) is a theory of parallel operations on arrays that can describe all known algorithms in linear algebra, signal processing, and HPC because they are based on primitive recursion and array shapes.
Gaétan Hains, Lenore Mullin
doaj   +1 more source

On the theory of fourth-rank hemitropic tensors in three-dimensional Euclidean spaces

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
The paper is devoted to problems concerning the tensors with constant components, hemitropic tensors and pseudotensors that are of interest from the point of view of micropolar continuum mechanics. The properties and coordinate representations of tensors
Eugenii V. Murashkin, Yuri N. Radayev
doaj   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Reduced-Rank Tensor-on-Tensor Regression and Tensor-Variate Analysis of Variance

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Fitting regression models with many multivariate responses and covariates can be challenging, but such responses and covariates sometimes have tensor-variate structure. We extend the classical multivariate regression model to exploit such structure in two ways: first, we impose four types of low-rank tensor formats on the regression coefficients ...
Carlos Llosa-Vite, Ranjan Maitra
openaire   +4 more sources

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Pointwise orthogonal splitting of the space of TT-tensors

Дифференциальная геометрия многообразий фигур, 2023
In the present paper we consider pointwise orthogonal split­ting of the space of well-known TT-tensors on Rieman­nian manifolds. Tensors of the first subspace belong to the ker­nel of the Bourguignon Laplacian, and the tensors of the se­cond subspace ...
S. E. Stepanov, I. I. Tsyganok
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

Biophysical approaches for studying viral entry

FEBS Letters, EarlyView.
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