Erschienen: 02.12.2013 Abbildung von Sainz / Armengol / Calm | Modal Interval Analysis | 2013 | New Tools for Numerical Inform... | 2091

Sainz / Armengol / Calm

Modal Interval Analysis

New Tools for Numerical Information

Buch. Softcover

2013

xvi, 316 S.

Springer. ISBN 978-3-319-01720-4

Format (B x L): 15,5 x 23,5 cm

Gewicht: 516 g

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 2091

Produktbeschreibung

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.

Autoren

  • Dieses Set enthält folgende Produkte:
      Auch in folgendem Set erhältlich:
      • nach oben

        Ihre Daten werden geladen ...