Results 21 to 30 of about 3,615 (267)
On the differentiability of isometries [PDF]
Proceedings of the American Mathematical Society, 1957 Let 9TC be an re-dimensional differentiable manifold of class Ck, k = l, • • • , oo, w (as usual O" means analytic, and we use the conventions * ±m= and w + w=w for integers m). An automorphism of 9TC is a one-to-one map of 911 onto itself which is of class C* and is nonsingular. Now let 9TC be given a Riemannian structure, i.e.
openaire +2 more sources
The Groups of Isometries of Metric Spaces over Vector Groups
Mathematics, 2022 In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
doaj +1 more source
Discretizations of Isometries [PDF]
, 2016 This paper deals with the dynamics of discretizations of isometries of $\mathbf R^n$, and more precisely the density of the successive images of $\mathbf Z^n$ by the discretizations of a generic sequence of isometries. We show that this density tends to 0 as the time goes to infinity.
openaire +2 more sources
Isometries for the Carathéodory metric [PDF]
Proceedings of the American Mathematical Society, 2008 Given two open unit balls B 1 B_1 and
ABATE, MARCO, Vigue JP
openaire +3 more sources
On certain Banach spaces of difference sequences of fuzzy real numbers [PDF]
Maejo International Journal of Science and Technology, 2014 Some sets of difference sequences of fuzzy real numbers which have Banach subspaces are introduced and investigated. Further, it is shown that these subspaces are isometric with some subsets of the sets of null, convergent and bounded sequences of fuzzy
Hemen Dutta
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to ...
D.M. Bushev +3 more
doaj +1 more source
Computing Isometries of Lattices
Journal of Symbolic Computation, 1997 The authors discuss ideas for an algorithm that calculates the automorphism group of a Euclidean lattice, extending a previous algorithm of \textit{W. Plesken} and \textit{M. Pohst} [Math. Comput. 45, 209-221 (1985; Zbl 0581.10014)]. They present a new method to compute partial automorphisms, speeding up the process for lattices having little symmetry.
Wilhelm Plesken, Bernd Souvignier
openaire +2 more sources
The Stability of Isometry by Singular Value Decomposition
MathematicsHyers and Ulam considered the problem of whether there is a true isometry that approximates the ε-isometry defined on a Hilbert space with a stability constant 10ε.
Soon-Mo Jung, Jaiok Roh
doaj +1 more source
Arthritis Care &Research, EarlyView.Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier +12 more
wiley +1 more source
A Counterexample Concerning C0-Semigroups of Holomorphic Carathéodory Isometries
MathematicsWe give an example for a C0-semigroup of non-linear 0-preserving holomorphic Carathéodory isometries of the unit ball.
László L. Stachó
doaj +1 more source