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Comparing monotonicity formulas for electrostatic potentials and static metrics
In this note we survey and compare the monotonicity formulas recently discovered by the authors in [1] and [2] in the context of classical potential theory and in the study of static metrics, respectively. In both cases we discuss the most significant implications of the monotonicity formulas in terms of sharp analytic and geometric inequalities.
Agostiniani, Virginia, Mazzieri, Lorenzo
openaire +3 more sources
Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
wiley +1 more source
A New Portfolio Optimization Model Under Tracking-Error Constraint with Linear Uncertainty Distributions. [PDF]
Yang T, Huang X.
europepmc +1 more source
Yttrium doping in Sb‐alloyed BiSe synergistically induces Bi vacancies and flattens conduction bands, simultaneously slashing lattice thermal conductivity by 50% and boosting the power factor. The optimized n‐type Bi0.64Sb0.3Y0.06Se delivers a peak zT of 0.91 at 393 K (average zT 0.76, 300–523 K) and an 8‐pair module with 4.6% conversion efficiency ...
Wenhao Xie +16 more
wiley +1 more source
A Deep Learning Approach for Predicting Multiple Sclerosis. [PDF]
Ponce de Leon-Sanchez ER +5 more
europepmc +1 more source
Hierarchical coordination engineering redistributes Li+ from anion‐dominated pairing toward polymer‐mediated binding. Strong primary sites promote salt dissociation, while distributed secondary sites sustain dynamic hopping pathways. This coordination landscape couples ion flux with polysulfide conversion, suppresses transport‐conversion decoupling ...
Zhong‐Wei Zheng +8 more
wiley +1 more source
On the management of population immunity. [PDF]
Toxvaerd F, Rowthorn R.
europepmc +1 more source
Multimode Oxide‐Based Optoelectronic Memtransistor for In‐Sensor Vision Processing
A multimode optoelectronic memtransistor (OEMT) is demonstrated for vision explainable artificial intelligence (VXAI) hardware. By integrating optical sensing, electrical masking, and non‐volatile memory, the device enables key operations required for generating saliency information.
Min Gu Lee +10 more
wiley +1 more source
Road to recovery: Managing an epidemic. [PDF]
Loertscher S, Muir EV.
europepmc +1 more source
Ferroelectric nematic liquid crystals (FNLCs) offer fast, tunable polarization and low‐voltage operation but suffer from poor polarization retention at zero field. Semiconductor‐modified FNLCs enhance polarization retention and exhibit short‐ and long‐term electro‐optical responses, while also supporting spike‐type signal integrations.
Kutay Sagdic, Weiming Yao, Danqing Liu
wiley +1 more source

