Results 111 to 120 of about 821 (276)

Non-additive measure and integral

, 1994
Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is generalized, at least for submodular measures which are characterized by ...
Denneberg, Dieter
core   +1 more source

Exploring Curvature Effects in Direct‐Written 3D Curved Hollow Magnetic Nanoshells

Advanced Functional Materials, EarlyView.
Fabricated by a hybrid FEBID/CVD method, 3D PtC/Co3Fe core–shell heterostructures with engineered curvature and shell thickness exhibit complex reversal modes with axially symmetric N'eel‐type domain walls. XMCD‐PEEM combined with full‐scale micromagnetic simulations reveal how curvature and thickness govern the domain wall energy landscape and shape ...
Oleksii M. Volkov, Fabrizio Porrati, Florian Kronast, Riccardo Hertel, Pavlo Makushko, Olha Bezsmertna, Alexander Kuprava, Mohamad‐Assaad Mawass, Sven Barth, Michael Huth, Denys Makarov   +10 more
wiley   +1 more source

Liapounoff’s theorem for nonatomic, finitely-additive, bounded, finite-dimensional, vector-valued measures

, 1981
Liapounoff’s theorem states that if ( X , Σ ) (X,\Sigma ) is a measurable space and μ : Σ → R
Karel Prikry, Thomas E. Armstrong
core   +1 more source

Enhanced Terahertz Thermoelectricity Via Engineered Van Hove Singularities and Nernst Effect in Moiré Superlattices

Advanced Functional Materials, EarlyView.
Moiré band engineering in graphene/hexagonal boron nitride–based superlattices unlocks van Hove singularities (VHSs) for terahertz (THz) optoelectronics. Tuning the Fermi level near these singularities, associated with secondary neutrality points (SNPs), enhances the photothermoelectric response.
Leonid Elesin, Arthur L. Shilov, Subhajit Jana, Ilya Mazurenko, Pierre A. Pantaleon, Mikhail Kashchenko, Nikita Krivovichev, Viacheslav Dremov, Igor Gayduchenko, Takashi Taniguchi, Kenji Watanabe, Yibo Wang, Kostya S. Novoselov, Dmitry A. Svintsov, Grigory Goltsman, Elena I. Titova, Denis A. Bandurin   +16 more
wiley   +1 more source

Purely finitely additive measures are non-constructible objects

, 2010
The existence of a purely finitely additive measure cannot be proved in Zermelo-Frankel set theory if the use of the Axiom of Choice is disallowedstatus ...
Lauwers, Luc
core  

Measurable tail disintegrations of the Haar integral are purely finitely additive

, 1977
There are countably additive probability measures, P, and sub-sigma fields, relative to which P admits no proper, measurable, conditional distributions, except, possibly, those which are purely finitely additive.
Lester E. Dubins
core   +1 more source

Emergent Topological Magnons and Thermal Hall Effect in 2D Filling‐Enforced Fully Compensated Ferrimagnets

Advanced Functional Materials, EarlyView.
Schematic illustration of ferroelectric‐intercalation‐driven transitions in magnetic configurations and magnonic topological phases, together with the symmetry relations of magnonic Berry curvature. ABSTRACT Magnons in collinear magnets with vanishing net magnetization offer unique advantages for spin transport, including ultrafast dynamics and ...
Yingxi Bai, Bo Yuan, Zhenzhou Guo, Jian Zhang, Ying Dai, Baibiao Huang, Xiaotian Wang, Chengwang Niu, Gang Zhang   +8 more
wiley   +1 more source

Integration with Respect to Finitely Additive Measures

, 1991
This essay interprets the theory of finitely additive measures within the framework of the theory of Riesz spaces. The following topics are discussed: the extension procedures of measures, the Riemann and the Dunford integration procedures, the Radon ...
Wilhelmus A. J. Luxemburg, Luxemburg, Wilhelmus A. J.   +1 more
core   +1 more source

Mechanical Behavior and Fracture Mechanisms of MXene/PVDF Nanocomponsites: In Situ Characterization and Multiscale Analysis

Advanced Functional Materials, EarlyView.
Multiscale experiments and modeling reveal how Ti3C2Tx MXene nanosheets reinforce PVDF nanocomposites. An optimal MXene loading (∼1 wt.%) nearly doubles tensile strength through efficient stress transfer, flake alignment, and crack‐deflection mechanisms, transforming ductile polymer behavior into a controlled multi‐stage fracture pathway which aligns ...
Bita Soltan Mohammadlou, James FitzPatrick, Li Meng, Kateryna Shevchuk, Ahmad Najafi, Yury Gogotsi   +5 more
wiley   +1 more source

Finitely additive supermartingales are differences of martingales and adapted increasing processes

, 1985
It is shown that any nonnegative bounded supermartingale admits a Doob-Meyer decomposition as a difference of a martingale and an adapted increasing process upon appropriate choice of a reference probability measure which may be only finitely additive.
Thomas E. Armstrong
core   +1 more source