Results 41 to 50 of about 12,779 (166)

Combable groups have group cohomology of polynomial growth

, 2018
Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock, Bridson, Cannon, Connes, Gilman, Hogbe-Nlend, Hogbe-Nlend, Ji, Meyer, Meyer, Meyer, Meyer, Mineyev, Ralf Meyer   +13 more
core   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, EarlyView.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

Criteria in Nuclear Fréchet Spaces and Silva Spaces with Refinement of the Cannon-Whittaker Theory

Journal of Function Spaces, 2020
Along with the theory of bases in function spaces, the existence of a basis is not always guaranteed. The class of power series spaces contains many classical function spaces, and it is of interest to look for a criterion for this class to ensure the ...
Mahmoud Abul-Ez, Mohra Zayed
doaj   +1 more source

On the Temporal Variability of Precipitation in Iraq: Arid‐Wet Years and Extreme Events

International Journal of Climatology, EarlyView.
Daily and monthly precipitation data in Iraq display high seasonal to interdecadal variability, with arid and wet years that have very distinct seasonal cycles. Monthly rainfall is significantly correlated with the Indian Ocean Dipole. Extreme events are identified and classified as belonging to four different weather patterns, allowing to obtain daily
Ali Raheem Al‐Nassar, Josep L. Pelegrí, Pánfilo Masciángioli   +2 more
wiley   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Abstract random differential equations with state-dependent delay using measures of noncompactness

Nonlinear Analysis
This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris, Zohra Bouteffal, Abdelkrim Salim, Mouffak Benchohra, Erdal Karapınar   +4 more
doaj   +1 more source

Evaluation of Deep Convolutional Generative Adversarial Networks for Data Augmentation of Chest X-ray Images

Future Internet, 2020
Medical image datasets are usually imbalanced due to the high costs of obtaining the data and time-consuming annotations. Training a deep neural network model on such datasets to accurately classify the medical condition does not yield the desired ...
Sagar Kora Venu, Sridhar Ravula
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Topological and Functional Properties of Some F-Algebras of Holomorphic Functions

Journal of Function Spaces, 2015
Let Np  (11. If (Fp)∗ denotes the strong dual space of Fp and Npw∗ denotes the space Sp of complex sequences γ={γn}n satisfying the condition γn=Oexp-cn1/(p+1), equipped with the topology of uniform convergence on weakly bounded subsets of Np, then we ...
Romeo Meštrović
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source