| 书目名称 | Modal Interval Analysis | | 副标题 | New Tools for Numeri | | 编辑 | Miguel A. Sainz,Joaquim Armengol,Josep Vehi | | 视频video | | | 概述 | Develops of a new interval theory.Presents several sample applications.Includes many examples to illustrate the main results.Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Book 2014 | | 关键词 | 65G40, 65G50, 03B10, 26A24, 65F10; Intervals; Marks; Quantifiers | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-01721-1 | | isbn_softcover | 978-3-319-01720-4 | | isbn_ebook | 978-3-319-01721-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 18:32:22
