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81
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82“…RESULTS: We present a hierarchical clustering and algebraic topology based method that detects regions of interest in protein conformational space. …”
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83“…With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. …”
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84“…The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guíxols, Spain, in June 1994. …”
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85“…These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. …”
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86
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87
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88
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89por Gibrat, Jean-François“…The second concerns the analysis of this graph using algebraic topology concepts to determine, in advance, whether the assembly of the genome will be straightforward, i.e., whether it will lead to a pseudo-Hamiltonian path or cycle, or whether the results will need to be scrutinized. …”
Publicado 2019
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90“…In this paper, the algebraic topological characteristics of brain networks composed of electroencephalogram(EEG) signals induced by different quality images were studied, and on that basis, a neurophysiological image quality assessment approach was proposed. …”
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91
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92“…It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. …”
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93
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94
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96
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97“…This work introduces a number of algebraic topology approaches, including multi-component persistent homology, multi-level persistent homology, and electrostatic persistence for the representation, characterization, and description of small molecules and biomolecular complexes. …”
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98
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99por Singh, Yashbir, Jons, William A., Eaton, John E., Vesterhus, Mette, Karlsen, Tom, Bjoerk, Ida, Abildgaard, Andreas, Jorgensen, Kristin Kaasen, Folseraas, Trine, Little, Derek, Gulamhusein, Aliya F., Petrovic, Kosta, Negard, Anne, Conte, Gian Marco, Sobek, Joseph D., Jagtap, Jaidip, Venkatesh, Sudhakar K., Gores, Gregory J., LaRusso, Nicholas F., Lazaridis, Konstantinos N., Erickson, Bradley J.“…Our aim was to extract magnetic resonance imaging (MRI) features that predict the development of hepatic decompensation by applying algebraic topology-based machine learning (ML). METHODS: We conducted a retrospective multicenter study among adults with large duct PSC who underwent MRI. …”
Publicado 2022
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100