Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Modal Interval Analysis: New Tools for Numerical Information

Modal Interval Analysis: New Tools for Numerical Information

Sainz, Miguel A.
Armengol, Joaquim
Calm, Remei

Paperback

Series: Lecture Notes in Mathematics, Book 2091

Technology & EngineeringGeneral MathematicsProgramming

ISBN10: 3319017209
ISBN13: 9783319017204
Publisher: Springer Nature
Published: Dec 2 2013
Pages: 316
Weight: 1.04
Height: 0.70 Width: 6.14 Depth: 9.21
Language: English

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.

Also in

General Mathematics

View All