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Arguments for the Continuity Principle
, 2000
"... Contents 1 The continuity principle 1 2 A phenomenological consideration 8 2.1 An argument for G(raph)WCN . . . . . . . . . . . . . . . . . 8 2.2 Two arguments against WCN . . . . . . . . . . . . . . . . . . 13 3 Other arguments for continuity 15 3.1 Undecidability of equality of choice sequences ..."
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Cited by 5 (1 self)
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Contents 1 The continuity principle 1 2 A phenomenological consideration 8 2.1 An argument for G(raph)WCN . . . . . . . . . . . . . . . . . 8 2.2 Two arguments against WCN . . . . . . . . . . . . . . . . . . 13 3 Other arguments for continuity 15 3.1 Undecidability of equality of choice
Arguments for the Continuity Principle Mark
"... §1. The continuity principle. There are two principles that lend Brouwer’s mathematics the extra power beyond arithmetic. Both are presented in Brouwer’s writings with little or no argument. One, the principle of bar induction, will not concern us here. The other, the continuity principle for numbe ..."
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§1. The continuity principle. There are two principles that lend Brouwer’s mathematics the extra power beyond arithmetic. Both are presented in Brouwer’s writings with little or no argument. One, the principle of bar induction, will not concern us here. The other, the continuity principle
Principles and Practice in Second Language Acquisition
, 1982
"... This is the original version of Principles and Practice, as published in 1982, with only minor changes. It is gratifying to point out that many of the predictions made in this book were confirmed by subsequent research, for example, the superiority of comprehensibleinput based methods and sheltered ..."
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Cited by 775 (4 self)
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This is the original version of Principles and Practice, as published in 1982, with only minor changes. It is gratifying to point out that many of the predictions made in this book were confirmed by subsequent research, for example, the superiority of comprehensibleinput based methods
Evolution of “good continuation ” principle
"... “Wherever the understanding of humanity will take a step forward, there people will honor the name of Max Wertheimer and turn back to his thought with a sense of gratitude and affection” (Artur Asch, 1944) Abstract: The General Systems Theory and Gestalt Psychology are very much connected by their g ..."
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of the problems were pattern recognition and image understanding problems. Naturally, it assumes the use of basic principles of Gestalt psychology. It is always a challenge to represent psychological theories to the computer: the computer demands absolutely clear description of terms, notions and procedures
ON MAWHIN’S CONTINUATION PRINCIPLES
"... The coincidence degree, introduced by J. Mawhin in 1972, is directed as a topological tool for the investigation of the semilinear equation Lu + Nu = f, where L is a linear Fredholm operator with zero index (not necessarily invertible) and N is a nonlinear perturbation. Continuation theorems involvi ..."
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The coincidence degree, introduced by J. Mawhin in 1972, is directed as a topological tool for the investigation of the semilinear equation Lu + Nu = f, where L is a linear Fredholm operator with zero index (not necessarily invertible) and N is a nonlinear perturbation. Continuation theorems
• Domain of holomorphy, Continuity Principle;
"... 1. Cauchy integral formula and its applications: • Cauchy integral formula in polydiscs, Cauchy estimates; • BochnerMartinelli formula; • Hartogs extension Theorem; • Bochner’s extension Theorem. 2. Subharmonicity and convexity: • Properties of subharmonic functions and plurisubharmonic functions; ..."
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1. Cauchy integral formula and its applications: • Cauchy integral formula in polydiscs, Cauchy estimates; • BochnerMartinelli formula; • Hartogs extension Theorem; • Bochner’s extension Theorem. 2. Subharmonicity and convexity: • Properties of subharmonic functions and plurisubharmonic functions;
K.B.: MultiInterval Discretization of ContinuousValued Attributes for Classication Learning. In:
 IJCAI.
, 1993
"... Abstract Since most realworld applications of classification learning involve continuousvalued attributes, properly addressing the discretization process is an important problem. This paper addresses the use of the entropy minimization heuristic for discretizing the range of a continuousvalued a ..."
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Cited by 832 (7 self)
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Abstract Since most realworld applications of classification learning involve continuousvalued attributes, properly addressing the discretization process is an important problem. This paper addresses the use of the entropy minimization heuristic for discretizing the range of a continuous
Articulated body motion capture by annealed particle filtering
 In IEEE Conf. on Computer Vision and Pattern Recognition
, 2000
"... The main challenge in articulated body motion tracking is the large number of degrees of freedom (around 30) to be recovered. Search algorithms, either deterministic or stochastic, that search such a space without constraint, fall foul of exponential computational complexity. One approach is to intr ..."
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Cited by 494 (4 self)
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special preparation of subjects or restrictive assumptions. The principal contribution of this paper is the development of a modified particle filter for search in high dimensional configuration spaces. It uses a continuation principle, based on annealing, to introduce the influence of narrow peaks
Visual Information Seeking: Tight Coupling of Dynamic Query Filters with Starfield Displays
, 1994
"... This paper offers new principles for visual information seeking (VIS). A key concept is to support browsing, which is distinguished from familiar query composition and information retrieval because of its emphasis on rapid filtering to reduce result sets, progressive refinement of search parameters, ..."
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Cited by 631 (51 self)
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, continuous reformulation of goals, and visual scanning to identify results. VIS principles developed include: dynamic query filters (query parameters are rapidly adjusted with sliders, buttons, maps, etc.), starfield displays (twodimensional scatterplots to structure result sets and zooming to reduce
A blueprint for introducing disruptive technology into the internet
, 2002
"... This paper argues that a new class of geographically distributed network services is emerging, and that the most effective way to design, evaluate, and deploy these services is by using an overlaybased testbed. Unlike conventional network testbeds, however, we advocate an approach that supports bot ..."
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Cited by 593 (43 self)
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both researchers that want to develop new services, and clients that want to use them. This dual use, in turn, suggests four design principles that are not widely supported in existing testbeds: services should be able to run continuously and access a slice of the overlay’s resources, control over
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