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Essential genes on metabolic maps
Current Opinion in Biotechnology, 2006Within the past five years genome-scale gene essentiality data sets have been published for ten diverse bacterial species. These data are a rich source of information about cellular networks that we are only beginning to explore. The analysis of these data, very heterogeneous in nature, is a challenging task. Even the definition of 'essential genes' in
Svetlana, Gerdes +5 more
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Essential maps and coincidence theory
Applicable Analysis, 2016Using an elementary approach, we present new coincidence principles for general classes of maps.
Mohamed Jleli +2 more
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Stably Essential Mappings onto Disks
Acta Mathematica Hungarica, 1998From the authors abstract: ``Let \(f\) be an essential mapping from a compact metric space \(X\) onto the \(n\)-dimensional disk \(D^n\) and let \(n \leq 2\) or \(\dim X < 2n - 2\). It is known that \(f\) is stably essential, i.e. the product mapping \(f \times id_{I^k}\) of \(f\) and the identity mapping \(id_{I^k}\) on the \(k\)-dimensional cube \(I ...
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Essential Equivariant Maps and Borsuk-Ulam Theorems
Journal of the London Mathematical Society, 2000Let \(G\) be a compact Lie group, \(X\) be a \(G\)-space and \(f:X\to X\) be self \(G\)-map. In this interesting paper the authors deal with the following two basic questions: (1) For which groups \(G\) is every self \(G\)-map essential? (2) For which \(G\)-spaces is every self \(G\)-map essential?
Clapp, Mónica, Marzantowicz, Wacław
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Essentials of the self-organizing map
Neural Networks, 2013The self-organizing map (SOM) is an automatic data-analysis method. It is widely applied to clustering problems and data exploration in industry, finance, natural sciences, and linguistics. The most extensive applications, exemplified in this paper, can be found in the management of massive textual databases and in bioinformatics. The SOM is related to
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Connected Maps and Essentially Connected Spaces
Canadian Mathematical Bulletin, 1985AbstractThe paper discusses some consequences of weak monotonicity for connected maps in relation to essential connectedness of a space. The first main result gives conditions under which the image by a connected map of an essentially connected space is essentially connected. The second is that, for a connected mapping of a connected, 1 .c.
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Five Essential Properties of Disease Maps
Annals of the Association of American Geographers, 2012We argue that as the disease map user group grows, disease maps must prioritize several essential properties that support public health uses of disease maps.
Kirsten M. M. Beyer +2 more
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