Results 71 to 80 of about 99,998 (314)
About One Class of Operators Inclusions
Моделирование и анализ информационных систем, 2015 The operator inclusion 0 ∈ A(x)+N(x) is studied. The main results refer to the case, when A – a bounded operator of monotone type from a reflexive space into conjugate to it, N – a conevalued operator. No solution criterion of the viewed inclusion is set
N. A. Demyankov, V. S. Klimov
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Semidefinite representation of convex sets [PDF]
Mathematical Programming, 2008 Let $S =\{x\in \re^n: g_1(x)\geq 0, ..., g_m(x)\geq 0\}$ be a semialgebraic set defined by multivariate polynomials $g_i(x)$. Assume $S$ is convex, compact and has nonempty interior. Let $S_i =\{x\in \re^n: g_i(x)\geq 0\}$, and $\bdS$ (resp. $\bdS_i$) be the boundary of $S$ (resp. $S_i$).
J. William Helton, Jiawang Nie
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Advanced Materials, EarlyView.We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena +6 more
wiley +1 more source
On the Estimation of a Convex Set
The Annals of Statistics, 1984 Let \(x_ 1,...,x_ n\) be independent and uniformly distributed on an unknown compact convex set D in \({\mathbb{R}}^ p\) (p known). The author considers the decision-theoretic estimation of the set D when the loss function is \(L(D,\hat D)=m(D\Delta \hat D)\) where \(\hat D\) is the estimate, m the Lebesgue measure and \(D\Delta\) \(\hat D\) is the ...
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Inverse Design of Amorphous Materials With Targeted Properties
Advanced Materials, EarlyView.AMDEN is a diffusion model framework for the inverse design of amorphous materials with targeted properties. By incorporating Hamiltonian Monte Carlo refinement into the denoising process, the framework overcomes the challenge of generating thermally relaxed disordered structures.
Jonas A. Finkler +4 more
wiley +1 more source
Convex compact family of polynomials and its stability [PDF]
Opuscula Mathematica, 2005 Let \(P\) be a set of real polynomials of degree \(n\). Set \(P\) can be identified with some subset \(P\) of \(\mathbb{R}^n\) consists of vectors of coefficients of \(P\).
Michał Góra
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Advanced Materials, EarlyView.An Aloe‐pinspired droplet electricity generator (A‐DEG) overcomes the limited energy collection zone of conventional DEGs by guiding impact droplets through a channeling midrib and artificial cuticle. The channeling midrib induces uni‐directional droplet spreading, while the artificial cuticle on the midrib further reinforces this behavior through its ...
Gibeom Lee +8 more
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Advanced Materials, EarlyView.Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji +15 more
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Hypercompositional Algebra, Computer Science and Geometry
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
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Walrasian Economic Equilibrium Problems in Convex Regions
This paper defines Walrasian economic equilibrium in convex regions, introduces the definition of strict-proper quasimonotone functions, and derives some necessary and sufficient conditions for the existence and uniqueness of Walrasian equilibrium ...
Zeng, Renying
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