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100   $a20131116d2014      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aModal Interval Analysis $eNew Tools for Numerical Information /$fby Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Lambert Jorba, Josep Vehi
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (XVI, 316 p. 37 illus., 3 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2091
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-01720-9 
320   $aIncludes bibliographical references and index.
327   $aIntervals -- 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.
330   $aThis book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. The starting point of MIA is quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervals by means of the inclusion of the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theorems that justify these equivalences, along with guidelines for arriving at these inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, which aspire to be a new form of numerical treatment of errors in measurements and computations.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2091
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aControl engineering
606   $aNumerical analysis
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aControl engineering.
615  0$aNumerical analysis.
615 14$aAnalysis.
615 24$aControl and Systems Theory.
615 24$aNumeric Computing.
676   $a515
700   $aSainz$b Miguel A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0525064
702   $aArmengol$b Joaquim$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aCalm$b Remei$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aHerrero$b Pau$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aJorba$b Lambert$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aVehi$b Josep$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300151703321
996   $aModal interval analysis$9822800
997   $aUNINA