Results 101 to 110 of about 1,588,278 (277)

Learning Contractive Integral Operators with Fredholm Integral Neural Operators

CoRR
We generalize the framework of Fredholm Neural Networks, to learn non-expansive integral operators arising in Fredholm Integral Equations (FIEs) of the second kind in arbitrary dimensions. We first present the proposed Fredholm Integral Neural Operators (FREDINOs), for FIEs and prove that they are universal approximators of linear and non-linear ...
Kyriakos Georgiou, Constantinos I. Siettos, Athanasios N. Yannacopoulos   +2 more
openaire   +3 more sources

The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation

FEBS Letters, EarlyView.
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge, Vivian Pogenberg, Alexander Baumgart, Bente Siebels, Hartmut Schlüter, Michael Hecht‐Bucher, Aymelt Itzen   +6 more
wiley   +1 more source

L‐aspartate oxidase provides new insights into fumarate reduction in anaerobic darkness in Synechocystis sp. PCC6803

FEBS Letters, EarlyView.
Synechocystis strains deficient in succinate dehydrogenase (SDH) secrete more succinate than the WT under dark anaerobic conditions, supporting that SDH then primarily acts as SDH, not as a fumarate reductase. L‐aspartate oxidase (Laspo) from Synechocystis is functional under anaerobic conditions, reducing fumarate to succinate.
Kateryna Kukil, Jeffrey A. Hawkes, Cecilia Blikstad, Pia Lindberg   +3 more
wiley   +1 more source

Starlikeness Properties of a New Integral Operator for Meromorphic Functions

Journal of Applied Mathematics, 2011
We define here an integral operator ℋ𝛾1,…,𝛾𝑛 for meromorphic functions in the punctured open unit disk. Several starlikeness conditions for the integral operator ℋ𝛾1,…,𝛾𝑛 are derived.
Aabed Mohammed, Maslina Darus
doaj   +1 more source

Artificial molecular machines and motors—Design and control of nanoscale motion

FEBS Letters, EarlyView.
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley   +1 more source

Fourier integrals and a new representation of Maslov's canonical operator near caustics [PDF]

, 2013
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems (\eikonal coordinates") on Lagrangian ...
Dobrokhotov, Sergey, Makrakis, George, Nazaikinskii, Vladimir   +2 more
core  

A Random Riemann–Liouville Integral Operator

Mathematics
In this work, we propose a definition of the random fractional Riemann–Liouville integral operator, where the order of integration is given by a random variable.
Jorge Sanchez-Ortiz, Omar U. Lopez-Cresencio, Martin P. Arciga-Alejandre, Francisco J. Ariza-Hernandez   +3 more
doaj   +1 more source

COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

Proceedings of the National Academy of Sciences, 1965
where x, y are points in n-dimensional Euclidean space R" and k(x) is a homogeneous function of degree -n with mean value zero on xl = 1, and let B(f) = b(x)f(x). It is well known (see ref. 1) that if k anid b are sufficiently smooth and b is bounded, then (AB BA)(0/0ax) and (0/ax) (AB BA) are bounded operators in Lp ...
openaire   +3 more sources

The ubiquitin system in normal and infected germinal center B cells

FEBS Letters, EarlyView.
The ubiquitin system plays a central role in germinal center (GC) B cells, influencing differentiation to long‐lived memory B cells. Oncogenic gammaherpesviruses gain access to memory B cells by establishing latency in GC B cells. Mapping ubiquitin mechanisms in normal and infected GC B cells will define specific molecular circuits in B cells germane ...
Destiny Davis, Lesly Mejia, Emily K Moser   +2 more
wiley   +1 more source

New Integral Operator for Analytic Functions

Journal of Function Spaces
Let Apn be the class of functions fz given by fz=zp+ap+nzp+n+ap+n+1zp+n+1+⋯ which are analytic in the open unit disk U. For fz∈Apn, new integral operators O−jfz and Ojfzj=0,1,2,⋯. are considered.
H. Özlem Güney, Shigeyoshi Owa, Adel A. Attiya   +2 more
doaj   +1 more source