Modal Interval Analysis New Tools for Numerical Information /

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 i...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Sainz, Miguel A. (Συγγραφέας), Armengol, Joaquim (Συγγραφέας), Calm, Remei (Συγγραφέας), Herrero, Pau (Συγγραφέας), Jorba, Lambert (Συγγραφέας), Vehi, Josep (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
Σειρά:Lecture Notes in Mathematics, 2091
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03211nam a22005655i 4500
001 978-3-319-01721-1
003 DE-He213
005 20151031151035.0
007 cr nn 008mamaa
008 131116s2014 gw | s |||| 0|eng d
020 |a 9783319017211  |9 978-3-319-01721-1 
024 7 |a 10.1007/978-3-319-01721-1  |2 doi 
040 |d GrThAP 
050 4 |a QA299.6-433 
072 7 |a PBK  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515  |2 23 
100 1 |a Sainz, Miguel A.  |e author. 
245 1 0 |a Modal Interval Analysis  |h [electronic resource] :  |b New Tools for Numerical Information /  |c by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Lambert Jorba, Josep Vehi. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a XVI, 316 p. 37 illus., 3 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2091 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Numerical analysis. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Control engineering. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Control. 
650 2 4 |a Numeric Computing. 
700 1 |a Armengol, Joaquim.  |e author. 
700 1 |a Calm, Remei.  |e author. 
700 1 |a Herrero, Pau.  |e author. 
700 1 |a Jorba, Lambert.  |e author. 
700 1 |a Vehi, Josep.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319017204 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2091 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-01721-1  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)