Modal Interval Analysis: New Tools for Numerical Information by Miguel A. Sainz,Joaquim Armengol,Remei Calm,Pau PDF

By Miguel A. Sainz,Joaquim Armengol,Remei Calm,Pau Herrero,Lambert Jorba,Josep Vehi

ISBN-10: 3319017209

ISBN-13: 9783319017204

This ebook offers an cutting edge new method of period research. Modal period research (MIA) is an try to transcend the restrictions of vintage periods when it comes to their structural, algebraic and logical beneficial properties. the place to begin of MIA is sort of uncomplicated: It is composed in defining a modal period that attaches a quantifier to a classical period and in introducing the elemental relation of inclusion among modal durations throughout the inclusion of the units of predicates they settle for. This modal method introduces period extensions of the genuine non-stop services, identifies equivalences among logical formulation and period inclusions, and offers the semantic theorems that justify those equivalences, besides instructions for arriving at those inclusions. functions of those equivalences in several components illustrate the got effects. The publication additionally offers a brand new period item: marks, which aspire to be a brand new kind of numerical remedy of error in measurements and computations.

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Modal Interval Analysis: New Tools for Numerical Information (Lecture Notes in Mathematics) by Miguel A. Sainz,Joaquim Armengol,Remei Calm,Pau Herrero,Lambert Jorba,Josep Vehi


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