The Interval

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The Interval

Rebecca Hill
The Interval Book PDF

Author : Rebecca Hill
Publisher : Fordham Univ Press
Page : 201 pages
File Size : 40,7 Mb
Release : 2012
Category : Health & Fitness
ISBN : 9780823237241

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The Interval by Rebecca Hill Pdf

The Interval offers the first sustained analysis of the concept grounding Irigaray's thought: the constitutive yet incalculable interval of sexual difference. In an extension of Irigaray's project, Hill takes up her formulation of the interval as a way of rereading Aristotle's concept of topos and Bergson's concept of duration. Hill diagnoses a sexed hierarchy at the heart of Aristotle's and Bergson's presentations. Yet beyond that phallocentrism, she points out how Aristotle's theory of topos as a sensible relation between two bodies that differ in being and Bergson's intuition of duration as an incalculable threshold of becoming are indispensable to the feminist effort to think about sexual difference. Reading Irigaray with Aristotle and Bergson, Hill argues that the interval cannot be grasped as a space between two identities; it must be characterized as the sensible threshold of becoming, constitutive of the very identity of beings. The interval is the place of the possibility of sexed subjectivity and intersubjectivity; the interval is also a threshold of the becoming of sexed forces.

Geometric Pressure for Multimodal Maps of the Interval

Feliks Przytycki,Juan Rivera-Letelier
Geometric Pressure for Multimodal Maps of the Interval Book PDF

Author : Feliks Przytycki,Juan Rivera-Letelier
Publisher : American Mathematical Soc.
Page : 81 pages
File Size : 49,5 Mb
Release : 2019-06-10
Category : Conformal geometry
ISBN : 9781470435677

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Geometric Pressure for Multimodal Maps of the Interval by Feliks Przytycki,Juan Rivera-Letelier Pdf

This paper is an interval dynamics counterpart of three theories founded earlier by the authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann sphere: the equivalence of several notions of non-uniform hyperbolicity, Geometric Pressure, and Nice Inducing Schemes methods leading to results in thermodynamical formalism. The authors work in a setting of generalized multimodal maps, that is, smooth maps f of a finite union of compact intervals Iˆ in R into R with non-flat critical points, such that on its maximal forward invariant set K the map f is topologically transitive and has positive topological entropy. They prove that several notions of non-uniform hyperbolicity of f|K are equivalent (including uniform hyperbolicity on periodic orbits, TCE & all periodic orbits in K hyperbolic repelling, Lyapunov hyperbolicity, and exponential shrinking of pull-backs). They prove that several definitions of geometric pressure P(t), that is pressure for the map f|K and the potential −tlog|f′|, give the same value (including pressure on periodic orbits, “tree” pressure, variational pressures and conformal pressure). Finally they prove that, provided all periodic orbits in K are hyperbolic repelling, the function P(t) is real analytic for t between the “condensation” and “freezing” parameters and that for each such t there exists unique equilibrium (and conformal) measure satisfying strong statistical properties.

Models and Methods for Interval-Valued Cooperative Games in Economic Management

Deng-Feng Li
Models and Methods for Interval Valued Cooperative Games in Economic Management Book PDF

Author : Deng-Feng Li
Publisher : Springer
Page : 137 pages
File Size : 52,7 Mb
Release : 2016-02-02
Category : Mathematics
ISBN : 9783319289984

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Models and Methods for Interval-Valued Cooperative Games in Economic Management by Deng-Feng Li Pdf

This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value. This book is designed for individuals from different fields and disciplines, such as decision science, game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.

Interval Analysis

Navid Razmjooy
Interval Analysis Book PDF

Author : Navid Razmjooy
Publisher : John Wiley & Sons
Page : 212 pages
File Size : 40,9 Mb
Release : 2024-01-04
Category : Technology & Engineering
ISBN : 9781394190973

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Interval Analysis by Navid Razmjooy Pdf

Interval Analysis An innovative and unique application of interval analysis to optimal control problems In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function. You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains: A thorough introduction to common errors and mistakes, generating uncertainties in physical models Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods Complete treatments of existing control methods, including classic, conventional advanced, and robust control. Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.

Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications

W. B. Vasantha Kandasamy,Florentin Smarandache
Fuzzy Interval Matrices Neutrosophic Interval Matrices and their Applications Book PDF

Author : W. B. Vasantha Kandasamy,Florentin Smarandache
Publisher : Infinite Study
Page : 304 pages
File Size : 50,5 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9781599730035

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Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications by W. B. Vasantha Kandasamy,Florentin Smarandache Pdf

This book introduces for the first time the notion of fuzzy interval matrices, fuzzy interval bimatrices, fuzzy interval n-matrices, neutrosophic interval matrices, neutrosophic interval bimatrices, neutrosophic interval n-matrices, fuzzy neutrosophic interval matrices and fuzzy neutrosophic interval n-matrices, where n >= 2.These new notions find their applications in FCInM, FRInM, FBAItM, NCInM, NCRInM and NRInM models, where n>=1.It is important to mention that these Fuzzy interval n-matrices and Fuzzy neutrosophic interval n-matrices will find their usage in Leontief economic models and Markov chains that have lots of industrial applications.

Applied Interval Analysis

Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter
Applied Interval Analysis Book PDF

Author : Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447102496

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Applied Interval Analysis by Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter Pdf

At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .

Introduction to Interval Computation

Gotz Alefeld,Jurgen Herzberger
Introduction to Interval Computation Book PDF

Author : Gotz Alefeld,Jurgen Herzberger
Publisher : Academic Press
Page : 352 pages
File Size : 41,5 Mb
Release : 2012-12-02
Category : Mathematics
ISBN : 9780080916361

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Introduction to Interval Computation by Gotz Alefeld,Jurgen Herzberger Pdf

This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.

Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)

Florentin Smarandache
Neutrosophic Statistics is an extension of Interval Statistics while Plithogenic Statistics is the most general form of statistics second version Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 18 pages
File Size : 45,9 Mb
Release : 2022-10-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version) by Florentin Smarandache Pdf

In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses).

Computing Statistics under Interval and Fuzzy Uncertainty

Hung T. Nguyen,Vladik Kreinovich,Berlin Wu,Gang Xiang
Computing Statistics under Interval and Fuzzy Uncertainty Book PDF

Author : Hung T. Nguyen,Vladik Kreinovich,Berlin Wu,Gang Xiang
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 47,6 Mb
Release : 2011-11-03
Category : Mathematics
ISBN : 9783642249044

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Computing Statistics under Interval and Fuzzy Uncertainty by Hung T. Nguyen,Vladik Kreinovich,Berlin Wu,Gang Xiang Pdf

In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.

Introduction to Interval Analysis

Ramon E. Moore,R. Baker Kearfott,Michael J. Cloud
Introduction to Interval Analysis Book PDF

Author : Ramon E. Moore,R. Baker Kearfott,Michael J. Cloud
Publisher : SIAM
Page : 222 pages
File Size : 45,6 Mb
Release : 2009-04-16
Category : Mathematics
ISBN : 9780898716696

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Introduction to Interval Analysis by Ramon E. Moore,R. Baker Kearfott,Michael J. Cloud Pdf

An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.

Survival Analysis with Interval-Censored Data

Kris Bogaerts,Arnost Komarek,Emmanuel Lesaffre
Survival Analysis with Interval Censored Data Book PDF

Author : Kris Bogaerts,Arnost Komarek,Emmanuel Lesaffre
Publisher : CRC Press
Page : 644 pages
File Size : 44,8 Mb
Release : 2017-11-20
Category : Mathematics
ISBN : 9781351643054

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Survival Analysis with Interval-Censored Data by Kris Bogaerts,Arnost Komarek,Emmanuel Lesaffre Pdf

Survival Analysis with Interval-Censored Data: A Practical Approach with Examples in R, SAS, and BUGS provides the reader with a practical introduction into the analysis of interval-censored survival times. Although many theoretical developments have appeared in the last fifty years, interval censoring is often ignored in practice. Many are unaware of the impact of inappropriately dealing with interval censoring. In addition, the necessary software is at times difficult to trace. This book fills in the gap between theory and practice. Features: -Provides an overview of frequentist as well as Bayesian methods. -Include a focus on practical aspects and applications. -Extensively illustrates the methods with examples using R, SAS, and BUGS. Full programs are available on a supplementary website. The authors: Kris Bogaerts is project manager at I-BioStat, KU Leuven. He received his PhD in science (statistics) at KU Leuven on the analysis of interval-censored data. He has gained expertise in a great variety of statistical topics with a focus on the design and analysis of clinical trials. Arnošt Komárek is associate professor of statistics at Charles University, Prague. His subject area of expertise covers mainly survival analysis with the emphasis on interval-censored data and classification based on longitudinal data. He is past chair of the Statistical Modelling Society and editor of Statistical Modelling: An International Journal. Emmanuel Lesaffre is professor of biostatistics at I-BioStat, KU Leuven. His research interests include Bayesian methods, longitudinal data analysis, statistical modelling, analysis of dental data, interval-censored data, misclassification issues, and clinical trials. He is the founding chair of the Statistical Modelling Society, past-president of the International Society for Clinical Biostatistics, and fellow of ISI and ASA.

Advances in Numerical Analysis Emphasizing Interval Data

Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari
Advances in Numerical Analysis Emphasizing Interval Data Book PDF

Author : Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari
Publisher : CRC Press
Page : 135 pages
File Size : 50,8 Mb
Release : 2022-02-18
Category : Technology & Engineering
ISBN : 9781000540314

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Advances in Numerical Analysis Emphasizing Interval Data by Tofigh Allahviranloo,Witold Pedrycz,Armin Esfandiari Pdf

Numerical analysis forms a cornerstone of numeric computing and optimization, in particular recently, interval numerical computations play an important role in these topics. The interest of researchers in computations involving uncertain data, namely interval data opens new avenues in coping with real-world problems and deliver innovative and efficient solutions. This book provides the basic theoretical foundations of numerical methods, discusses key technique classes, explains improvements and improvements, and provides insights into recent developments and challenges. The theoretical parts of numerical methods, including the concept of interval approximation theory, are introduced and explained in detail. In general, the key features of the book include an up-to-date and focused treatise on error analysis in calculations, in particular the comprehensive and systematic treatment of error propagation mechanisms, considerations on the quality of data involved in numerical calculations, and a thorough discussion of interval approximation theory. Moreover, this book focuses on approximation theory and its development from the perspective of linear algebra, and new and regular representations of numerical integration and their solutions are enhanced by error analysis as well. The book is unique in the sense that its content and organization will cater to several audiences, in particular graduate students, researchers, and practitioners.

Discrete Optimization with Interval Data

Adam Kasperski
Discrete Optimization with Interval Data Book PDF

Author : Adam Kasperski
Publisher : Springer
Page : 220 pages
File Size : 53,6 Mb
Release : 2008-04-06
Category : Mathematics
ISBN : 9783540784845

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Discrete Optimization with Interval Data by Adam Kasperski Pdf

Operations research often solves deterministic optimization problems based on elegantand conciserepresentationswhereall parametersarepreciselyknown. In the face of uncertainty, probability theory is the traditional tool to be appealed for, and stochastic optimization is actually a signi?cant sub-area in operations research. However, the systematic use of prescribed probability distributions so as to cope with imperfect data is partially unsatisfactory. First, going from a deterministic to a stochastic formulation, a problem may becomeintractable. Agoodexampleiswhengoingfromdeterministictostoch- tic scheduling problems like PERT. From the inception of the PERT method in the 1950’s, it was acknowledged that data concerning activity duration times is generally not perfectly known and the study of stochastic PERT was launched quite early. Even if the power of today’s computers enables the stochastic PERT to be addressed to a large extent, still its solutions often require simplifying assumptions of some kind. Another di?culty is that stochastic optimization problems produce solutions in the average. For instance, the criterion to be maximized is more often than not expected utility. This is not always a meaningful strategy. In the case when the underlying process is not repeated a lot of times, let alone being one-shot, it is not clear if this criterion is realistic, in particular if probability distributions are subjective. Expected utility was proposed as a rational criterion from ?rst principles by Savage. In his view, the subjective probability distribution was - sically an artefact useful to implement a certain ordering of solutions.

Fuzzy Preference Ordering of Interval Numbers in Decision Problems

Atanu Sengupta,Tapan Kumar Pal
Fuzzy Preference Ordering of Interval Numbers in Decision Problems Book PDF

Author : Atanu Sengupta,Tapan Kumar Pal
Publisher : Springer
Page : 166 pages
File Size : 48,8 Mb
Release : 2009-02-24
Category : Mathematics
ISBN : 9783540899150

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems by Atanu Sengupta,Tapan Kumar Pal Pdf

In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways – (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem? The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Haibin Wang,Florentin Smarandache,Rajshekhar Sunderraman,Yan-Qing Zhang
Interval Neutrosophic Sets and Logic Theory and Applications in Computing Book PDF

Author : Haibin Wang,Florentin Smarandache,Rajshekhar Sunderraman,Yan-Qing Zhang
Publisher : Infinite Study
Page : 99 pages
File Size : 48,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9781931233941

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Interval Neutrosophic Sets and Logic: Theory and Applications in Computing by Haibin Wang,Florentin Smarandache,Rajshekhar Sunderraman,Yan-Qing Zhang Pdf

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.