The Interval

The Interval
Author: Rebecca Hill
Publisher: Fordham Univ Press
Total Pages: 201
Release: 2012
Genre: Health & Fitness
ISBN: 0823237249

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.

The Interval

The Interval
Author: Rebecca Hill
Publisher: Fordham Univ Press
Total Pages: 227
Release: 2014-11-14
Genre: Philosophy
ISBN: 0823263916

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.

Open Interval

Open Interval
Author: Lyrae Van Clief-Stefanon
Publisher: University of Pittsburgh Press
Total Pages: 93
Release: 2014-02-26
Genre: Poetry
ISBN: 082297827X

Drawing upon intersections of astronomy and mathematics, history, literature, and lived experience, the poems in Open Interval locate the self in the interval between body and name.

Geometric Pressure for Multimodal Maps of the Interval

Geometric Pressure for Multimodal Maps of the Interval
Author: Feliks Przytycki
Publisher: American Mathematical Soc.
Total Pages: 94
Release: 2019-06-10
Genre: Mathematics
ISBN: 1470435675

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.

Interval Analysis

Interval Analysis
Author: Navid Razmjooy
Publisher: John Wiley & Sons
Total Pages: 212
Release: 2024-01-04
Genre: Technology & Engineering
ISBN: 1394190972

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.

Approaching the Interval in the Early Modern Theatre

Approaching the Interval in the Early Modern Theatre
Author: Mark Hutchings
Publisher: Cambridge University Press
Total Pages: 163
Release: 2024-04-25
Genre: Literary Criticism
ISBN: 1108856705

In requiring artificial light, the early modern indoor theatre had to interrupt the action so that the candles could be attended to, if necessary. The origin of the five-act, four-interval play was not classical drama but candle technology. This Element explores the implications of this aspect of playmaking. Drawing on evidence in surviving texts it explores how the interval affected composition and stagecraft, how it provided opportunities for stage-sitters, and how amphitheatre plays were converted for indoor performance (and vice versa). Recovering the interval yields new insights into familiar texts and brings into the foreground interesting examples of how the interval functioned in lesser-known plays. This Element concludes with a discussion of how this aspect of theatre might feed into the debate over the King's Men's repertory management in its Globe-Blackfriars years and sets out the wider implications for both the modern theatre and the academy.

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

Models and Methods for Interval-Valued Cooperative Games in Economic Management
Author: Deng-Feng Li
Publisher: Springer
Total Pages: 153
Release: 2016-02-02
Genre: Mathematics
ISBN: 3319289985

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.

Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications

Fuzzy Interval Matrices, Neutrosophic Interval Matrices and their Applications
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 304
Release: 2006-01-01
Genre: Mathematics
ISBN: 1599730030

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

Applied Interval Analysis
Author: Luc Jaulin
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2012-12-06
Genre: Computers
ISBN: 1447102495

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 . . .

Combinatorial Patterns for Maps of the Interval

Combinatorial Patterns for Maps of the Interval
Author: Michał Misiurewicz
Publisher: American Mathematical Soc.
Total Pages: 122
Release: 1991
Genre: Mathematics
ISBN: 0821825135

This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representatives of a given cycle is elucidated, and maximal patterns and permutations of a given degree are characterized.