INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783319017211
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52371
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Modal Interval Analysi
General Material Designation
[Book]
Other Title Information
:New Tools for Numerical Information
First Statement of Responsibility
/ by Miguel A. Sainz, Joaquim Armengol, Remei Calm, Pau Herrero, Lambert Jorba, Josep Vehi
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XVI, 316 p. 37 illus., 3 illus. in color., online resource.
SERIES
Series Title
(Lecture Notes in Mathematics,0075-8434
Volume Designation
; 2091)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
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 intervalsby means ofthe 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.
Text of Note
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.?╗╣
SERIES
Title
Lecture Notes in Mathematics,0075-8434
Volume Number
2091
TOPICAL NAME USED AS SUBJECT
Mathematics
Electronic data processing
Global analysis (Mathematics)
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Sainz, Miguel A.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Armengol, Joaquim
Calm, Remei
Herrero, Pau
Jorba, Lambert
Vehi, Josep
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783319017204.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783319017204.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
