Results 141 to 150 of about 2,695 (277)
Self-adjointness of unbounded time operators [PDF]
Time operators for an abstract semi-bounded self-adjoint operator $H$ with purely discrete spectrum is considered. The existence of a bounded self-adjoint time operator $T$ for $H$ is known as Galapon time operator.
Teranishi, Noriaki, Hiroshima, Fumio
core +1 more source
Existence and Uniqueness of a Fixed Point for the Bellman Operator in Deterministic Dynamic Programming [PDF]
We study existence and uniqueness of a fixed point for the Bellman operator in deterministic dynamic programming. Without any topological assumption, we show that the Bellman operator has a unique fixed point in a restricted domain, that this fixed point
Takashi Kamihigashi
core
Advanced Science, EarlyView.A multifunctional EV‐based nanoplatform (Ang‐TEVs@Gel) was engineered via preconditioning, surface targeting, and ROS‐responsive hydrogel encapsulation to reprogram microglia. This system restored autophagy via miR‐664a‐3p/PIK3CA axis, cleared myelin debris, resolved neuroinflammation, and promoted axon remyelination, ultimately achieving robust motor ...
Wu Xiong +17 more
wiley +1 more source
Advanced Science, EarlyView.Given that PEEK chest wall implants induce shear force at the soft tissue‐implant interface due to respiratory motion in the early in vivo post‐implantation stage. We confirmed that this mechanical stimulus triggers the PIEZO1/ITGB1/YAP1 signalling axis in L929 and the STAT6/p‐STAT6 pathway in RAW264.7, which in turn mediates adhesion and migration of ...
Rou Huang +14 more
wiley +1 more source
Advanced Science, EarlyView.A biomimetic doppelgänger nanosystem neutralizes extracellular inflammatory cytokines and silences intracellular pyroptosis, reprogramming pathogenic macrophages to attenuate both joint and spine degeneration. ABSTRACT Osteoarthritis (OA) and intervertebral disc degeneration (IVDD) are debilitating musculoskeletal disorders driven by shared ...
Fudong Li +9 more
wiley +1 more source
Canonical Antibodies Adopt Distinct Binding Modes to Recognize Viral Glycan Shields
Advanced Science, EarlyView.Canonical Y‐shaped antibodies recognize viral glycan shields through adaptive Fab assembly states shaped by glycan organization and somatic hypermutation. Structural analyses ofbroadly neutralizing antibodies VRC35 and VRC36 across glycoproteins of HIV‐1, influenza, SARS‐CoV‐2, and Lassa viruses reveal distinct Fab assembly states, spanning monovalent,
Jiaxuan Cheng +71 more
wiley +1 more source
Advanced Science, EarlyView.This bioinspired acinus‐on‐a‐chip recapitulates VILI pathology, revealing that volutrauma drives P53/NF‐κB pathways while barotrauma triggers mitochondrial‐Wnt dysregulation. A fibrotic transitional cell cluster was identified. Pharmacological interventions targeting these pathways significantly ameliorated injury, establishing a mechanobiological ...
Heng Lu +10 more
wiley +1 more source
An elementary proof of the spectral theorem for unbounded operators
, 1965 One of the proofs of the spectral theorem for bounded operators begins by proving that a bounded, positive definite self-adjoint operator on a Hilbert space has a unique positive definite self-adjoint square root.
Bagby, Richard Julian
core
TH17–Associated Polyamine Metabolism‐Guided Nanozyme Promotes Alveolar Bone Repair in Periodontitis
Advanced Science, EarlyView.A pronounced TH17‐skewed immune response is identified in experimental periodontitis, and enrichment of the polyamine pathway is observed during TH17 differentiation, suggesting its potential as an immunometabolic target. Inspired by these findings, DFMO@Ui‐Mn is developed as a therapeutic platform combining cascade ROS scavenging with immunometabolic ...
Cheng Zhu +12 more
wiley +1 more source