Results 21 to 30 of about 166,127,064 (204)

Direct sum of lower semi-frames in Hilbert spaces

Gulf Journal of Mathematics
In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum of lower semi-frames, providing necessary and sufficient conditions for the preservation of lower semi-frame structure, is examined.
Mohanarangan, Hemalatha, Johnson, P. Sam, Harikrishanan, P. K.   +2 more
openaire   +3 more sources

NeuroSuite for Long‐Term Functional and Structural Studies of Air‐Liquid Interface Cerebral Organoids

Advanced Science, EarlyView.
NeuroSuite provides a modular hardware‐software platform integrating Neuroweb and NeuroMaps to enable long‐term, in situ electrophysiological interrogation of air–liquid interface organoid slices while preserving tissue architecture. Its components can be used together or independently to capture real‐time activity, spatial network dynamics, and ...
Belquis Haider, Sagnik Middya, Daniel J. Lloyd‐Davies‐Sánchez, Nino F. Läubli, Sulay Vora, Jakob Träuble, Rohan N. Krajeski, Yuqing Feng, Daniel Duncko, Josiah S. Riley, Rubén Ruiz‐Mateos Serrano, Ole Paulsen, Madeline A. Lancaster, George G. Malliaras, Gabriele S. Kaminski Schierle   +14 more
wiley   +1 more source

ORBIT‐AMD: Ordinal Risk, Bilateral Imaging, and Trajectory Learning for Age‐Related Macular Degeneration in Multi‐Cohorts

Advanced Science, EarlyView.
Eligibility flow and real‐world AMD burden in the UKB retinal imaging cohort and TMUEH external‐validation cohort. Overview of the ORBIT‐AMD architecture, integrating retinal representation pretraining, bilateral eye‐graph modeling and concept bottleneck learning to support ordered risk, bilateral context, interpretable lesion concepts, longitudinal ...
Xuehao Cui, Dejia Wen, Patrick Yu‐Wai‐Man, Xiaorong Li   +3 more
wiley   +1 more source

Preserving Motor Features by Alternative Re‐Referencing to Remove Heart Artifact on the Stentrode

Advanced Science, EarlyView.
Endovascular brain‐computer interfaces record neural activity from within cerebrovasculature, at the expense of electrocardiogram contamination. Band‐limited independent component analysis separates this heart‐based artifact from task‐relevant neural activity in each frequency band, enabling the reconstruction of cleaner neural recordings without the ...
Ariel K. Feldman, Kriti Kacker, Rahyun Yun, Nikole Chetty, James Bennett, Peter E. Yoo, Raul G. Nogueira, Jennifer L. Collinger, Nicholas L. Opie, Thomas J. Oxley, David F. Putrino, Douglas J. Weber   +11 more
wiley   +1 more source

On (n,D)- quasi Operators

Iraqi Journal for Computer Science and Mathematics
T Through the article, we will provide an entirely novel type of quasi operators base on the concept of D razin inverse in Operator theory which is named (n,D) -quasi operators on the Hilbert spaces, also we explain the sum, product, and other features ...
salim dawood mohsen
doaj   +1 more source

Intrinsic Phonons as a Dynamic Control Knob for Catalytic Reactivity in 2D Materials

Advanced Science, EarlyView.
Intrinsic phonon excitations are demonstrated to serve as a dynamic control knob for catalytic reactivity in 2D materials. Mode‐selective lattice vibrations reconstruct the electronic structure, lower oxygen evolution reaction barriers, establishing a phonon‐engineering paradigm for dynamically regulating electrocatalysis beyond conventional static ...
Kai Ren, Feifan Wang, Yong‐Wei Zhang, Tianyang Liu, Liangzhi Kou, Yu Jing   +5 more
wiley   +1 more source

Application Investigation of Quasi Drazin Inverse Hyponormal Operators within the Framework of Fuzzy Soft Set Theory in Hilbert Space

Journal of Applied Science and Engineering
This study aims to investigate the realm of operator theory related to Fuzzy Soft Theory. Based on fuzzy soft Hilbert spaces, a novel formula of fuzzy soft quasi-hyponormal operator via a technique of fuzzy soft Drazin inverse named the fuzzy soft n ...
Salim Dawood Mohsen, Zaid Rajih Hamza
doaj   +1 more source

Lithium Niobate Electro‐Optic Photonic Processor for Variational Quantum Eigensolver

Advanced Science, EarlyView.
An integrated lithium‐niobate‐on‐insulator ququart processor implements an electro‐optically controlled photonic variational quantum eigensolver using single photons encoded in four path modes. Bell‐basis‐emulating ququart projective measurements reduce measurement settings while achieving chemical‐accuracy‐level molecular‐energy estimation.
Jinil Lee, Ui Joon Park, Minho Choi, Hyeong‐Soon Jang, Sunghyun Moon, Hyeon Hwang, Min‐Kyo Seo, Dae‐Hwan Ahn, Sang‐Wook Han, Yong‐Su Kim, Hyounghan Kwon, Hojoong Jung   +11 more
wiley   +1 more source

Spectrum of the direct sum of operators

Electronic Journal of Differential Equations, 2012
We study the connection between spectral properties of direct the sum of operators in the direct sum of Hilbert spaces and its coordinate operators.
Elif Otkun Cevik, Zameddin I. Ismailov
doaj  

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source