Let X and Y be Hilbert C∗-modules over a C∗-algebra, and φ : X ×Y → [0,∞) be a function. A (not necessarily linear) mapping f : X → Y is called a φ-perturbed adjointable mapping if there exists a (not necessarily linear) mapping g : Y → X such that ‖〈f(x), y〉 − 〈x, g(y)〉‖ ≤ φ(x, y) (x ∈ X , y ∈ Y). In this paper, we investigate the generalized Hyers–Ulam–Rassias stability of adjointable mapping...

BACKGROUND Standard electroanatomic mapping systems use a single catheter to perform left ventricular substrate mapping. A new mapping system uses a 64-electrode mini-basket catheter to perform rapid automated acquisition of chamber geometry, voltage, and activation. OBJECTIVE The aim of this study was to compare the accuracy of electroanatomic mapping using the basket catheter with that of m...

Performance of the linear models, widely used within the framework of adaptive line enhancement (ALE), deteriorates dramatically in the presence of non-Gaussian noises. On the other hand, adaptive implementation of nonlinear models, e.g. the Volterra filters, suffers from the severe problems of large number of parameters and slow convergence. Nonetheless, kernel methods are emerging solutions t...

In this article, we described the contracting mapping on nor-med linear space. Furthermore, we applied that mapping to ordinary differential equations on real normed space. Our method is based on the one presented by Schwartz [29]. We use the following convention: n denotes a non empty element of N and a, b, r, t denote real numbers.ject " Managing a Large Repository of Computer-verified Mathem...

Conformational epitopes are thought to form the majority of strong antibody binding epitopes on most proteins. However numerous conformational epitopes may also be recognizable as linear epitopes, although with lower affinity. Linear B cell epitopes typically vary from 5 to 20 amino acids in length. If the antibody-binding region of the protein is unknown, an overlapping peptide library can be ...