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03342nam a22005535i 4500 |
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978-3-642-01039-2 |
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DE-He213 |
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20151125211132.0 |
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cr nn 008mamaa |
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100917s2011 gw | s |||| 0|eng d |
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|a 9783642010392
|9 978-3-642-01039-2
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|a 10.1007/978-3-642-01039-2
|2 doi
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|d GrThAP
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|a T57-57.97
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|a PBW
|2 bicssc
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|a MAT003000
|2 bisacsh
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|a 519
|2 23
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|a Falmagne, Jean-Claude.
|e author.
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|a Learning Spaces
|h [electronic resource] :
|b Interdisciplinary Applied Mathematics /
|c by Jean-Claude Falmagne, Jean-Paul Doignon.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2011.
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| 300 |
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|a XV, 417 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Overview and Mathematical Glossary -- Knowledge Structures and Learning Spaces -- Knowledge Spaces -- Well-Graded Families -- Surmise Systems -- Skill Maps, Labels and Filters -- Entailments and the Maximal Mesh -- Galois Connections -- Descriptive and Assessment Languages -- Greedoids, Learning Spaces, and Antimatroids -- Learning Spaces and Media -- Probabilistic Knowledge Structures -- Stochastic Learning Paths -- A Continuous Markov Procedure -- A Markov Chain Procedure -- Building a Knowledge Structure -- Building a Learning Space -- Applications -- Open Problems.
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|a Learning 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, learning spaces as well as knowledge spaces (which made the title of the first edition) 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.
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|a Mathematics.
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|a Computer science
|x Mathematics.
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|a Multimedia information systems.
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|a Artificial intelligence.
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| 650 |
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|a Education
|x Data processing.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Mathematics
|x Study and teaching.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
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|a Applications of Mathematics.
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| 650 |
2 |
4 |
|a Artificial Intelligence (incl. Robotics).
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| 650 |
2 |
4 |
|a Multimedia Information Systems.
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| 650 |
2 |
4 |
|a Math Applications in Computer Science.
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| 650 |
2 |
4 |
|a Computers and Education.
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| 650 |
2 |
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|a Mathematics Education.
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| 700 |
1 |
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|a Doignon, Jean-Paul.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783642010385
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-642-01039-2
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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