𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the number of real and complex moduli of singularities of smooth functions and realizations of matroids

✍ Scribed by V. A. Vasil'ev; V. V. Serganova


Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
495 KB
Volume
49
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Moduli of smoothness and best approximat
✍ M. Ganzburg πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 621 KB

Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-Β°'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,

On the nonuniqueness of singular value f
✍ W.Steven Gray; Jacquelien M.A. Scherpen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 374 KB

The notion of balanced realizations for nonlinear state space model reduction problems was ΓΏrst introduced by Scherpen in 1993. Analogous to the linear case, the so-called singular value functions of a system describe the relative importance of each state component from an input-output point of view

The covering number of the elements of a
✍ J.A. Dias da Silva; RosΓ‘rio Fernandes; AmΓ©lia Fonseca πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 933 KB

Let S be a nonempty finite set with cardinality m. Let M be a matroid on S with no loops. The covering number of an element x in S is the smallest positive integer k such that x is a coloop of the union of k copies of M. We investigate connections between the structure of M and the values of the cov