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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
Robert Edwards +8 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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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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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 ...
Z. Karno, Z. Karno
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Mapping search terms to review goals is essential [PDF]
BMJ Quality & Safety, 2015 Patient participation can be seen as an end in and of itself, and it can be seen as a way to foster further goals like quality and safety in healthcare, adherence and cost-effectiveness. Wide-scale implementation of interventions to increase patient participation without having confidence in its measures means being unable to determine if ...
Jürgen Kasper +4 more
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Rolling Maps for the Essential Manifold
2015Computer vision problems typically have geometric constraints. When two cameras view a 3D scene from two distinct positions, or a single camera views a 3D scene from two different locations, there are a number of geometric relations between the 3D points and their projections onto the 2D images.
Luís Machado +3 more
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The number of rooted essential maps on surfaces
Acta Mathematica Sinica, English Series, 2008In this paper, general functional equations of rooted essential maps on surfaces (orientable and nonorientable) are deduced and their formal solutions are presented. Further, three explicit formulae for counting essential maps on S2, \( \widetilde{N_3 } \) and \( \widetilde{N_4 } \) are given. In the same time, some known results can be derived.
Yanpei Liu, Wenzhong Liu
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Essentials of Schwarz–Christoffel mapping
2002Polygons For the rest of this book, a (generalized) polygon Γ is defined by a collection of vertices w 1 , …, w n and real interior angles α 1 π, …, α n π. It is convenient for indexing purposes to define w n +1 = w 1 and w 0 = w n .
Tobin A. Driscoll, Lloyd N. Trefethen
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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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