Modal interval analysis : new tools for numerical information / Miguel A. Sainz...[et al.].
Series: Lecture notes in mathematics ; 2091Publication details: Switzerland : Springer, 2014.Description: xvi, 316 p. : illustrations ; 24 cmISBN:- 9783319017204
- 511.42 23 Sa157
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 511.42 Sa157 (Browse shelf(Opens below)) | Available | 136441 |
Browsing ISI Library, Kolkata shelves Close shelf browser (Hides shelf browser)
| No cover image available | No cover image available | |||||||
| 511.42 M823 Interval analysis | 511.42 P491 Iterative methods for simultaneous inclusion of polynomial zeroes | 511.42 P864 Nondiscrete induction and iterative processes | 511.42 Sa157 Modal interval analysis : | 511.42 Sa158 Interpolation theory and its applications | 511.42 Sch365 Cardinal spline interpolation | 511.42 Sp738 Two dimensional spline interpolation algorithms |
Includes bibliographical references and index.
1. Intervals --
2. Modal intervals --
3. Modal interval extensions --
4. Interpretability and optimality --
5. Interval arithmetic --
6. Equations and systems --
7. Twins and f * algorithm --
8. Marks --
9. Intervals of marks --
10. Some related problems--
References--
Index.
This book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. The starting point of MIA is quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervals by means of the inclusion of the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theorems that justify these equivalences, along with guidelines for arriving at these inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, which aspire to be a new form of numerical treatment of errors in measurements and computations.
There are no comments on this title.
