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標(biāo)題: Titlebook: Reliable Implementation of Real Number Algorithms: Theory and Practice; International Semina Peter Hertling,Christoph M. Hoffmann,Nathalie [打印本頁]

作者: 萌芽的心    時間: 2025-3-21 17:14
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Branimir Lambov981). For example, virtually all the important categories relevant to the study of language shift in French Louisiana as elsewhere are nondiscrete and dynamic; among such categories are language attitudes, linguistic proficiency, group membership, and dialectal variation. Therefore, any analysis of
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Vadim Shapiroa fin des années 60. Pour les pionniers de cette époque, MRP signifiait Material Requirement Planning. Sa traduction fran?aise, ?Calcul des besoins?, montre bien de quoi il s’agit: les besoins nets en composants nécessaires à la fabrication des produits finis sont calculés par ?éclatement? du plan d
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Neil F. Stewart,Malika Zidania fin des années 60. Pour les pionniers de cette époque, MRP signifiait Material Requirement Planning. Sa traduction fran?aise, ?Calcul des besoins?, montre bien de quoi il s’agit: les besoins nets en composants nécessaires à la fabrication des produits finis sont calculés par ?éclatement? du plan d
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Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format,. is .. This work can be extended to other elementary functions in the decimal64 format and allows the design of reasonably fast routines that will evaluate these functions with correct rounding, at least in some domains.
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Robustness and Randomness,al numbers. This paper reviews methods dealing with robustness and inaccuracy problems. It discusses approaches based on exact arithmetic, interval arithmetic and probabilistic methods. The paper investigates the possibility to use randomness at certain levels of reasoning to make geometric constructions more robust.
作者: 拾落穗    時間: 2025-3-23 18:26
Validated Modeling of Mechanical Systems with ,: Improvement of Performance by ,,e an appropriate kind of arithmetic according to the modeling task. We consider different strategies for obtaining tight state enclosures in . including improvements in the underlying data types (Taylor models), modeling elements (rotation error reduction), and focus on enhancement through the choice of initial value problem solvers?(.).
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Homotopy Conditions for Tolerant Geometric Queries,lent to the intended exact set. We show that the Nerve Theorem provides systematic means for identifying sufficient conditions for the required homotopy equivalence, and explain how these conditions are used in the context of geometric and solid modeling.
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0302-9743 n this book, the focus is on a problem arising particularly in real number computations: the problem of veri?edor reliablecomputations. Since real numbersare objects c- taining an in?nite amount of information, they cannot be represented precisely on a computer. This leads to the well-known problems
作者: 尖叫    時間: 2025-3-24 09:23
Conference proceedings 2008k, the focus is on a problem arising particularly in real number computations: the problem of veri?edor reliablecomputations. Since real numbersare objects c- taining an in?nite amount of information, they cannot be represented precisely on a computer. This leads to the well-known problems caused by
作者: BAIL    時間: 2025-3-24 14:22
Validated Modeling of Mechanical Systems with ,: Improvement of Performance by ,,rectness of the results obtained with the help of a computer, various kinds of validating arithmetic and algorithms were developed. Their purpose is to provide bounds in which the exact result is guaranteed to be contained. Verified modeling of kinematics and dynamics of multibody systems is a chall
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Verified Methods in Stochastic Traffic Modelling,ion of a semi-Markov arrival process can be described as a sum of exponential terms using validated numerics. Next, we use interval arithmetic as a reliable method to analyse the transient states of simple GI/G/1 queueing systems and compute the time required for the system to reach the equilibrium.
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Robustness and Randomness,er science and mathematics communities. Robustness problems are caused by the lack of precision in computations involving floating-point instead of real numbers. This paper reviews methods dealing with robustness and inaccuracy problems. It discusses approaches based on exact arithmetic, interval ar
作者: Herbivorous    時間: 2025-3-25 19:37
Topological Neighborhoods for Spline Curves: Practice & Theory,zations. Some emerging solutions based upon topological considerations for curves will be presented. A novel geometric seeding algorithm for Newton’s method was used in experiments to determine feasible support for these visualization applications.
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Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling,umerical Analysis, was described in a recent paper by Hoffmann and Stewart. An important subproblem within this overall approach is the well-definition of the sets specified by inconsistent data. These inconsistencies may come from the use of finite-precision real-number arithmetic, from the use of
作者: 寡頭政治    時間: 2025-3-26 04:36
Theory of Real Computation According to EGC,on-robustness in geometric algorithms. Its technology has been encoded in libraries such as LEDA, CGAL and Core Library. The key feature of EGC is the necessity to decide zero in its computation. This paper addresses the problem of providing a foundation for the EGC mode of computation. This require
作者: 啞巴    時間: 2025-3-26 08:48
Theory of Real Computation According to EGC,s a theory of real computation that properly addresses the Zero Problem. The two current approaches to real computation are represented by the analytic school and algebraic school. We propose a variant of the analytic approach based on ..
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Convex Polyhedral Enclosures of Interval-Based Hierarchical Object Representations,olyhedral enclosure of an octree, we seek feasible ways to limit the number of considered points. For this purpose, we use the concept of extreme vertices of the tree nodes. Accurate algorithms for constructing the convex hull of these vertices yield a convex polyhedron as an adaptive and reliable object enclosure at each level of the tree.
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978-3-540-85520-0Springer-Verlag Berlin Heidelberg 2008
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Reliable Implementation of Real Number Algorithms: Theory and Practice978-3-540-85521-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Verified Methods in Stochastic Traffic Modelling,ion of a semi-Markov arrival process can be described as a sum of exponential terms using validated numerics. Next, we use interval arithmetic as a reliable method to analyse the transient states of simple GI/G/1 queueing systems and compute the time required for the system to reach the equilibrium.
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https://doi.org/10.1007/978-3-540-85521-7algorithms; arithmetic; calculus; complexity; computability; computational geometry; geometry; homotopy; mod
作者: 丑惡    時間: 2025-3-28 10:20
Ioannis Z. Emiris,Bernard Mourrain,Elias P. Tsigaridasy of the period; and finally how those prisoners interacted with each other, with their?captors, and with the wider community. Thehistory of the prison on the moor is one marked by high hopes and noble intentions, but also of neglect, hardship, disease and death.978-3-030-83893-5978-3-030-83891-1
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0302-9743 from a theoretical or from a practical point of view. Forty-eight researchers from many di?erent countries and many di?erent disciplines gathered in the castle978-3-540-85520-0978-3-540-85521-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Lance Edward Miller,Edward L. F. Moore,Thomas J. Peters,Alexander Russell
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Reliable Implementation of Real Number Algorithms: Theory and PracticeInternational Semina
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Peter Hertling,Christoph M. Hoffmann,Nathalie Revo
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unrelated to the world of real events. Yet he managed to escape from this provincial drudgery, perhaps because of help from a well-connected maternal uncle, the architect Pierre Bullet.. The other extrinsic event of significance for an understanding of Marivaux’s work occurred in 1720, when John La
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Ekaterina Auer,Andreas Rauh,Eberhard P. Hofer,Wolfram Lutherion, Robert E. Conrath has described how it seems designed to transcend national boundaries: ‘The passionate and ambiguous relationship between [France and the United States] has turned the . into a sort of floating signifier for all that was bad in our contemporary society’ (Conrath 1995: 44). With




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