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02720nam a22005295i 4500 |
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978-3-319-42545-0 |
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DE-He213 |
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20161008174325.0 |
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cr nn 008mamaa |
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161008s2016 gw | s |||| 0|eng d |
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|a 9783319425450
|9 978-3-319-42545-0
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|a 10.1007/978-3-319-42545-0
|2 doi
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|d GrThAP
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|a QA612-612.8
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|a PBPD
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|a MAT038000
|2 bisacsh
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|a 514.2
|2 23
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|a Chazal, Frédéric.
|e author.
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|a The Structure and Stability of Persistence Modules
|h [electronic resource] /
|c by Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot.
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| 264 |
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2016.
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| 300 |
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|a X, 120 p. 17 illus., 15 illus. in color.
|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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| 347 |
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|a text file
|b PDF
|2 rda
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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|a Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.
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|a This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
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| 650 |
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|a Mathematics.
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|a Algebra.
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|a Computer science
|x Mathematics.
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|a Computer mathematics.
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| 650 |
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|a Algebraic topology.
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| 650 |
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4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Algebraic Topology.
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| 650 |
2 |
4 |
|a Algebra.
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| 650 |
2 |
4 |
|a Mathematical Applications in Computer Science.
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| 700 |
1 |
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|a de Silva, Vin.
|e author.
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| 700 |
1 |
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|a Glisse, Marc.
|e author.
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| 700 |
1 |
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|a Oudot, Steve.
|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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8 |
|i Printed edition:
|z 9783319425436
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| 830 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-3-319-42545-0
|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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