A Deep Neural Network (DNN) is used to estimate the Advanced Scatterometer (ASCAT) C-band microwave normalized backscatter (σ40o), slope (σ′) and curvature (σ″) over France. The Interactions between Soil, Biosphere Atmosphere (ISBA) land surface model (LSM) produce variables (LSVs) that are input DNN. DNN trained simulate σ40o, σ′ σ″ from 2007 2016. predictive skill of evaluated during an indep...

Introducing the notions of (inner) σ-derivation, (inner) σ-endomorphism and oneparameter group of σ-endomorphisms (σ-dynamics) on a Banach algebra, we correspond to each σ-dynamics a σ-derivation named as its σ-infinitesimal generator. We show that the σ-infinitesimal generator of a σ-dynamics of inner σ-endomorphisms is an inner σ-derivation and deal with the converse. We also establish a nice...

Let A be an Artin group with standard generating set Σ. Tits conjectured that the only relations in A amongst the squares of the generators are the obvious ones, namely that σ2 and τ2 commute whenever σ and τ commute, for σ, τ ∈ Σ. In this paper we prove Tits’ conjecture for all Artin groups. In fact, given a number m(σ) ≥ 2 for each σ ∈ Σ, we show that the elements {T (σ) = σm(σ) : σ ∈ Σ} gene...

Throughout this paper, all groups are finite. A group class closed under taking homomorphic images and finite subdirect products is called a formation . The symbol σ denotes some partition of the set primes. V. G. Safonov, I. N. Safonova, A. Skiba (Commun. Algebra. 2020. Vol. 48, № 9. P. 4002–4012) defined generalized σ-function. Any function f form : È {Ø} → {formations groups}, where (Ø) ≠ ∅,...

The present work introduces an analysis of the measurement and model effects that exist in monopile scour protection experiments with repeated small scale tests. damage erosion is calculated using three dimensional global number S3D subarea S3D,i. Results show standard deviation σ(S3D)=0.257 approximately 20% mean S3D, σ(S3D,i)=0.42 which can be up to 33% S3D. irreproducible maximum wave height...

We prove existence and uniqueness of a global in time self-similar solution growing up as t→∞ for the following reaction-diffusion equation with singular potentialut=Δum+|x|σup, posed dimension N≥2, m>1, σ∈(−2,0) 11 p>1, showing an interesting effect induced by potential |x|...

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Supersymmetric non–linear σ–models are described by a field dependent Kähler metric determining the kinetic terms. In general it is not guaranteed that this metric is always invertible. Our aim is to investigate the symmetry structure of supersymmetric models in four dimensional space-time in which metric singularities occur. For this purpose we study a simple anomaly-free extension of the supe...