Results 11 to 20 of about 97,532 (37)
Quantum differentiability on quantum tori [PDF]
, 2019 We provide a full characterisation of quantum differentiability (in the sense of Connes) on quantum tori. We also prove a quantum integration formula which differs substantially from the commutative case.
arxiv +1 more source
About instability in an elastic Cosserat body with pores
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis article is centered on the study of the isotropic, porous Cosserat elastic media, realized by means of a parallel with the media of the same type, but anisotropic, by following the rewriting in a new form of the equations that govern this theory ...
Codarcea-Munteanu L. +2 more
doaj +1 more source
A note on “The nearest symmetric fuzzy solution for a symmetric fuzzy linear system” [PDF]
, 2015 This paper provides accurate approximate solutions for the symmetric fuzzy linear systems in (Allahviranloo et al.[1])
Ahmad, Nazihah +2 more
core
An example driven introduction to probabilistic rough paths [PDF]
arXiv, 2021 In these notes, we provide an introduction to a new regularity structure used for solving rough mean-field equations. The index set of this regularity structure is described a collection of novel objects which we refer to as Lions trees. These objects arise in Taylor expansions involving the Lions derivative and capture many of the desirable ...
arxiv
Some applications of uniformly $ p $-convergent sets [PDF]
arXiv, 2020 In this paper, we introduce a new class of subsets of bounded linear operators between Banach spaces which is p-version of the uniformly completely continuous sets. Then, we study the relationship between these sets with the equicompact sets. Moreover, we introduce the concept of weakly p-sequentially continuous differentiable mappings and obtain some ...
arxiv
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent [PDF]
arXiv, 2023 We propose new limiting dynamics for stochastic gradient descent in the small learning rate regime called stochastic modified flows. These SDEs are driven by a cylindrical Brownian motion and improve the so-called stochastic modified equations by having regular diffusion coefficients and by matching the multi-point statistics. As a second contribution,
arxiv
On the metrizability of suprametric space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe question of metrizability of suprametric space is answered positively. The observed metric coincides with a suprametric in a way that convergence and continuity are preserved between suprametric space and associated metric space along with the ...
Karapınar Erdal, Cvetković Marija
doaj +1 more source
Lagrange Multipliers in locally convex spaces [PDF]
arXiv, 2023 We give a general Lagrange multiplier rule for mathematical programming problems in a Hausdorff locally convex space. We consider infinitely many inequality and equality constraints. Our results gives in particular a generalisation of the result of J. Jahn in \cite{Ja}, replacing Fr\'echet-differentiability assumptions on the functions by the Gateaux ...
arxiv
Linear structure of functions with maximal Clarke subdifferential [PDF]
, 2018 It is hereby established that the set of Lipschitz functions $f:\mathcal{U}\rightarrow \mathbb{R}$ ($\mathcal{U}$ nonempty open subset of $\ell_{d}^{1}$) with maximal Clarke subdifferential contains a linear subspace of uncountable dimension (in particular, an isometric copy of $\ell^{\infty}(\mathbb{N})$).
arxiv +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we present some results about the aproximation of fixed points of nonexpansive and enriched nonexpansive operators. In order to approximate the fixed points of enriched nonexpansive mappings, we use the Krasnoselskii-Mann iteration for ...
Socaciu Liviu-Ignat
doaj +1 more source