Results 51 to 60 of about 22,104 (259)

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

The ABC's of Number Theory [PDF]

, 2007
The ABC conjecture is a central open problem in modern number theory, connecting results, techniques and questions ranging from elementary number theory and algebra to the arithmetic of elliptic curves to algebraic geometry and even to entire functions ...
Elkies, Noam
core  

Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]

Logical Methods in Computer Science, 2012
This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
doaj   +1 more source

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

Advanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English, Dorothea Böken, Matthew W. Cotton, Matthew R. Cheetham, Johanna S. Jackson, Georg Meisl, John S. H. Danial, Paul M. Matthews, Nurun N. Fancy, David Klenerman   +9 more
wiley   +1 more source

Chemotherapy‐Activated GSK3β‐DNMT1 Signaling Upregulates CD47 to Evade Macrophage Phagocytosis and Drive Temozolomide Resistance in Glioblastoma

Advanced Science, EarlyView.
Temozolomide treatment activates GSK3β, driving DNMT1 phosphorylation, destabilization, and CD47 promoter hypomethylation in glioblastoma. This epigenetic shift upregulates CD47, enabling TMZ‐treated GBM cells to evade macrophage phagocytosis, survive chemotherapy, and acquire resistance.
Jie Li, Shuai Ying, Yi Zhang, Jingjing Wang, Quan Wan, Lingli Gong, Daxing Xu, Zhenkun Yang, Hongnian Lu, Ying Yin, Xiangming Fang, Zhening Pu   +11 more
wiley   +1 more source

The bulk Hilbert space of double scaled SYK

Journal of High Energy Physics, 2022
The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams.
Henry W. Lin
doaj   +1 more source

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

A study of the nonlocal solution of p-Laplacian fractional elliptic problems via approximation methods

Boundary Value Problems
In the present paper, we are concerned with the existence of nonnegative solutions for two Kirchhoff-type problems driven by a fractional p-Laplacian operator, ( − Δ ) p s $(-\Delta )_{p}^{s}$ , in a bounded smooth domain Ω of R N $\mathbb{R}^{N}$ with N
Omar Djidel, Kheireddine Biroud, Med-Salem Rezaoui, Salah Boulaaras, Rafik Guefaifia   +4 more
doaj   +1 more source

Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors

Advanced Electronic Materials, EarlyView.
Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko, Alon Ascoli, Fernando Corinto, Yuriy V. Pershin   +3 more
wiley   +1 more source