Results 51 to 60 of about 1,097,522 (236)

Regularity of conservative inductive limits

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
A sequentially complete inductive limit of Fréchet spaces is regular, see [3]. With a minor modification, this property can be extended to inductive limits of arbitrary locally convex spaces under an additional assumption of conservativeness.
Jan Kucera
doaj   +1 more source

Synthetic Imagery Improves Ecological Classification When Real Data Are Scarce, Not Direct Substitutes

open access: yesRemote Sensing in Ecology and Conservation, EarlyView.
Image generation models can create synthetic ecological datasets and potentially alleviate limitations from sparse real data. Using 20 tree genera across community‐science and street‐view imagery, we tested whether synthetic images could replace or supplement real data for image classification.
Thomas A. Lake   +3 more
wiley   +1 more source

Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces.
Anna Bahyrycz   +3 more
doaj   +1 more source

World Models for Robotic Manipulation: A Survey

open access: yesSmartBot, EarlyView.
World models enable robots to anticipate how candidate actions may alter object configurations, contact states, and scene geometry before physical execution. This survey examines world models for robotic manipulation as action‐conditioned predictive systems and organizes the literature according to predicted representations, interfaces between ...
Fangyuan Wang   +17 more
wiley   +1 more source

Controllability of Fractional Integro-Differential Equations with Delays and Singular Kernels in Fréchet Spaces

open access: yesMathematics
This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces.
Fatima Mesri   +2 more
doaj   +1 more source

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
Ravi P. Agarwal, Donal O'Regan
doaj   +1 more source

On Frechet means in simplex shape spaces

open access: yes, 2003
By making use of the geometric properties of simplex shape spaces, this paper investigates the problems relating to the estimation of the Frechet means of the random shapes of simplices in Euclidean spaces and also, for the random shapes induced by ...
Kume, Alfred, Le, Huiling
core   +1 more source

AI‐Revealed Transition From Density‐ to Connectivity‐Controlled Mechanics in Hierarchical Porous Materials

open access: yesSmall, EarlyView.
Using synchrotron‐based multiscale imaging, generative modeling algorithms, and computational mechanics models, our study reveals a scale‐dependent transition in bone mechanics. The results of the power‐scaling law illustrate a transition from density‐controlled stiffness at the trabecular scale to connectivity‐controlled, porosity‐sensitive mechanics ...
Milad Masrouri   +3 more
wiley   +1 more source

Stability of a generalization of the Fréchet functional equation

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a fixed point theorem for the function
Renata Malejki
doaj   +1 more source

Diametral dimensions of Fréchet spaces [PDF]

open access: yesStudia Mathematica, 2016
The diametral dimension is an important topological invariant in the category of Frechet spaces which has been used, e.g., to distinguish types of Stein manifolds. We introduce variants of the classical definition in order to solve an old conjecture of Bessaga, Mityagin, Pelczynski, and Rolewicz at least for nuclear Frechet spaces. Moreover, we clarify
Demeulenaere, Loïc   +2 more
openaire   +2 more sources

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