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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Mathematics,
2091 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 005 | 20220116043004.0 | ||
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| 020 | |a 9783319017211 |9 978-3-319-01721-1 | ||
| 024 | 7 | |a 10.1007/978-3-319-01721-1 |2 doi | |
| 050 | 4 | |a QA299.6-433 | |
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| 072 | 7 | |a PBK |2 thema | |
| 082 | 0 | 4 | |a 515 |2 23 |
| 100 | 1 | |a Sainz, Miguel A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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. |
| 250 | |a 1st ed. 2014. | ||
| 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 1617-9692 ; |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 Mathematical analysis. | |
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Numerical analysis. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Control and Systems Theory. |
| 650 | 2 | 4 | |a Numerical Analysis. |
| 700 | 1 | |a Armengol, Joaquim. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Calm, Remei. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Herrero, Pau. |e author. |0 (orcid)0000-0002-7088-5807 |1 https://orcid.org/0000-0002-7088-5807 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Jorba, Lambert. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Vehi, Josep. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319017204 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319017228 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2091 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-01721-1 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||