Knowledge spaces [electronic resource] / Jean-Paul Doignon, Jean-Claude Falmagne.

Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Doignon, Jean-Paul
Other Authors: Falmagne, Jean-Claude
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer, ©1999.
Subjects:

MARC

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245 1 0 |a Knowledge spaces  |h [electronic resource] /  |c Jean-Paul Doignon, Jean-Claude Falmagne. 
260 |a Berlin ;  |a New York :  |b Springer,  |c ©1999. 
300 |a 1 online resource (xv, 333 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent. 
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504 |a Includes bibliographical references (pages 310-320) and indexes. 
505 0 |a Overview and Mathematical Glossary -- Knowledge Structures -- Well-Graded Structures -- Surmise Systems -- Skill Maps, Labels and Filters -- Entail Relation and the Maximal Mesh -- Galois Connections -- Probabilistic Knowledge Structures -- Stochastic Learning Paths -- Descriptive and Assessment Languages -- Uncovering the State of an Individual: A Continous Markov Procedure -- Uncovering the State of an Individual: A Markov Chain Procedure -- Building the Knowledge Structure in Practice -- References. 
520 |a Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning in Knowledge Spaces), a software for the assessment of mathematical knowledge. From a mathematical standpoint, knowledge spaces generalize partially ordered sets. They are investigated both from a combinatorial and a stochastic viewpoint. The results are applied to real and simulated data. The book gives a systematic presentation of research and extends the results to new situations. It is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate levels. The text contains numerous examples and exercises and an extensive bibliography. 
546 |a English. 
588 0 |a Print version record. 
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650 0 |a Computational linguistics.  |0 http://id.loc.gov/authorities/subjects/sh85077224. 
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650 7 |a Artificial intelligence.  |2 fast  |0 (OCoLC)fst00817247. 
650 7 |a Computational linguistics.  |2 fast  |0 (OCoLC)fst00871998. 
650 7 |a Natural language processing (Computer science)  |2 fast  |0 (OCoLC)fst01034365. 
700 1 |a Falmagne, Jean-Claude.  |0 http://id.loc.gov/authorities/names/n84208921  |1 http://isni.org/isni/0000000108613862. 
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