rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Modal Interval Analysis
    sub title: New Tools for Numerical Information
  name:
    name part: Sainz, Miguel A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Armengol, Joaquim.
    role:
      role term: author.
  name:
    name part: Calm, Remei.
    role:
      role term: author.
  name:
    name part: Herrero, Pau.
    role:
      role term: author.
  name:
    name part: Jorba, Lambert.
    role:
      role term: author.
  name:
    name part: Vehi, Josep.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 316 p. 37 illus., 3 illus. in color. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Lambert Jorba, Josep Vehi.
  subject:
    topic: Mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Control engineering
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Control
  subject:
    topic: Numeric Computing
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2091
  identifier: 9783319017211
  identifier: http://dx.doi.org/10.1007/978-3-319-01721-1
  record info:
    record creation date: 131116
    record change date: 20151031151035.0
    record identifier: 978-3-319-01721-1