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|a Du, Dingzhu.
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|a Pooling designs and nonadaptive group testing :
|b important tools for DNA sequencing /
|c Ding-Zhu Du, Frank K. Hwang.
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260 |
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|a New Jersey :
|b World Scientific,
|c ©2006.
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|a 1 online resource (ix, 237 pages) :
|b illustrations.
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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 Series on applied mathematics ;
|v v. 18
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504 |
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|a Includes bibliographical references and index.
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506 |
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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|a Electronic reproduction.
|b [S.l.] :
|c HathiTrust Digital Library,
|d 2011.
|5 MiAaHDL
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
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|a digitized
|c 2011
|h HathiTrust Digital Library
|l committed to preserve
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|a Print version record.
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|a Ch. 1. Introduction. 1.1. Group testing. 1.2. Nonadaptive group testing. 1.3. Applications in molecular biology. 1.4. Pooling designs for two simple applications. 1.5. Pooling designs and mathematics. 1.6. An outline of the book. References -- ch. 2. Basic theory on separating matrices. 2.1. d-Separable and d-separable matrices. 2.2. d-disjunct matrices. 2.3. The minimum number of pools for given d and n. 2.4. Combinatorial bounds for d-disjunct matrices with constant weight. 2.5. Asymptotic lower and upper bounds. 2.6. (d, r)-disjunct matrices. 2.7. Error-tolerance. References -- ch. 3. Deterministic designs. 3.1. t-designs and t-packing. 3.2. Direct construction. 3.3. Explicit construction of selectors. 3.4. Grid designs. 3.5. Error-correcting code. 3.6. Transversal designs. 3.7. The d = 2 case. References -- ch. 4. Deterministic designs from partial orders. 4.1. Subset containment designs. 4.2. Partial order of faces in a simplicial complex. 4.3. Monotone graph properties. 4.4. Partial order of linear spaces over a finite field. 4.5. Atomic poset. References -- ch. 5. Random pooling designs and probabilistic analysis. 5.1. Introduction to random designs. 5.2. A general approach to compute probabilities of unresolved clones. 5.3. Random incidence designs. 5.4. Random k-set designs. 5.5. Random r-size designs. 5.6. Random distinct k-set designs. 5.7. Intersection pooling designs. 5.8. Subset containment designs in extended use. 5.9. Edge-representative decoding with r = 2 and d = 3. 5.10. Some trivial 2-stage pooling designs. References -- ch. 6. Pooling designs on complexes. 6.1. Introduction. 6.2. A construction of (H : d; z)-disjunct matrix. 6.3. (d, r; z]-disjunct matrix. 6.4. Constructions for (d, r; z]-disjunct matrices. 6.5. Random designs. 6.6. Trivial two-stage pooling designs for complete r-graphs. 6.7. Sequential algorithms for H[symbol]. References -- ch. 7. Contig sequencing. 7.1. Introduction. 7.2. Some probability analysis of a k-subset. 7.3. Sequential algorithms. 7.4. Nonadaptive algorithms for matching. 7.5. The 3-stage procedure. References -- ch. 8. The inhibitor model. 8.1. Introduction. 8.2. 1-round algorithm. 8.3. Sequential and k-round algorithms. 8.4. Some other inhibitor models. References -- ch. 9. Hyperplane designs. 9.1. Introduction. 9.2. m-dimensional arrays. 9.3. A K[symbol] x K[symbol] decomposition of K[symbol]. 9.4. Efficiency. 9.5. Other transversal designs. 9.6. Two recent applications. References -- ch 10. Non-unique probe selection. 10.1. Introduction. 10.2. Complexity of pooling designs. 10.3. Complexity of minimum pooling designs. 10.4. Approximations of minimum pooling designs. References.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Molecular biology
|x Mathematics.
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650 |
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|a Nucleotide sequence
|x Mathematics.
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650 |
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|a Combinatorial group theory.
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|a Mathematical models.
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|a Sequence Analysis, DNA
|x methods
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|a Models, Theoretical
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|a Biologie moléculaire
|x Mathématiques.
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650 |
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|a Théorie combinatoire des groupes.
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650 |
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|a Modèles mathématiques.
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650 |
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|a mathematical models.
|2 aat
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|a SCIENCE
|x Life Sciences
|x Genetics & Genomics.
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650 |
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|2 fast
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650 |
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|a Combinatorial group theory
|2 fast
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|
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|a Molecular biology
|x Mathematics
|2 fast
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|a Nucleotide sequence
|x Mathematics
|2 fast
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700 |
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|a Hwang, Frank.
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776 |
0 |
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|i Print version:
|a Du, Dingzhu.
|t Pooling designs and nonadaptive group testing.
|d New Jersey : World Scientific, ©2006
|w (DLC) 2006046417
|
776 |
0 |
8 |
|i Online version:
|a Du, Dingzhu.
|t Pooling designs and nonadaptive group testing.
|d New Jersey : World Scientific, ©2006
|w (OCoLC)761806724
|
830 |
|
0 |
|a Series on applied mathematics ;
|v v. 18.
|
856 |
4 |
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