Miguel A. Sainz: Modal Interval Analysis

Cover: 9783319017204 | Modal Interval Analysis | New Tools for Numerical Information | Buch

Rückseite: 9783319017204 | Modal Interval Analysis | New Tools for Numerical Information | Buch

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Sprache: Englisch

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Beschreibung

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 through 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.

Zusammenfassung

Develops of a new interval theory

Presents several sample applications

Includes many examples to illustrate the main results

Includes supplementary material: [...]

Inhaltsverzeichnis

Intervals.- Modal Intervals.- Modal interval extensions.- Interpretability and optimality.- Interval arithmetic.- Equations and systems.- Twins and f -star algorithm.- Marks.- Intervals of marks.- Some related problems.

Details

Erscheinungsjahr:	2013
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 316 S. 34 s/w Illustr. 3 farbige Illustr. 316 p. 37 illus. 3 illus. in color.
ISBN-13:	9783319017204
ISBN-10:	3319017209
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Sainz, Miguel A. Armengol, Joaquim Vehi, Josep Herrero, Pau Jorba, Lambert Calm, Remei
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 19 mm
Von/Mit:	Miguel A. Sainz (u. a.)
Erscheinungsdatum:	02.12.2013
Gewicht:	0,511 kg