Modal Interval Analysis

New Tools for Numerical Information

Nonfiction, Science & Nature, Technology, Automation, Mathematics, Mathematical Analysis
Cover of the book Modal Interval Analysis by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba ISBN: 9783319017211
Publisher: Springer International Publishing Publication: November 18, 2013
Imprint: Springer Language: English
Author: Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
ISBN: 9783319017211
Publisher: Springer International Publishing
Publication: November 18, 2013
Imprint: Springer
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Metaheuristics by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Fake Physics: Spoofs, Hoaxes and Fictitious Science by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Dysmenorrhea and Menorrhagia by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book US-Chinese Strategic Triangles by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Seventeenth-Century Indivisibles Revisited by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Parallel Robots With Unconventional Joints by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book How Good Policies and Business Ethics Enhance Good Quality of Life by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Knowledge Management in Organizations by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Disease Ecology by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Longitudinally Polarised Terahertz Radiation for Relativistic Particle Acceleration by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Measuring Scholarly Impact by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Geriatric Anesthesiology by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Exotic Nuclear Excitations: The Transverse Wobbling Mode in 135 Pr by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Universe of Scales: From Nanotechnology to Cosmology by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
Cover of the book Integrative Cardiology by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Josep Vehi, Lambert Jorba
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy