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In the 'true' physical problem we assume 𝕏 = L∞ but in a practical implementation the solution and forward mapping are represented in discrete vector spaces where A h : ℝ n → ℝ m is a linear or non-linear operator.
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This mapping is represented by Equation (1).
QTLs detected by single point analysis and interval mapping were represented to the right of the chromosome.
Therefore, it would be useful to use a large parameter α ( ∈ ( 0, 1 ) ) when a strongly nonexpansive mapping is represented by ( 1 − α ) I + α T. Theorem 3.1 has the following consequences.
Edges have mapping-dependent meanings, for example, in the 'Linked Pathway Integration' mapping (Table 1): this mapping is represented by an overview graph with a node for each pathway and edges represent substances appearing in two different pathways [overview graphs are defined and explained in Klukas and Schreiber (2007)].
These knowledge maps are represented formally to facilitate an inferencing mechanism which helps to automatically identify the causes of the inefficiencies and inconsistencies.
In this paper, we introduce the concept of L p Blaschke-Minkowski homomorphisms and show that those maps are represented by a spherical convolution operator.
Real-time maps are represented in the information carried by the electrical signals themselves.
In the three first case studies, N-maps are represented as pictures where horizontal bold lines represent the sequences compared.
Metabolic maps are represented using hypergraphs and the complexity is controlled by varying the specificity of the molecular signature.
The corresponding maps are represented in Figure 8 in which we keep only the diagonals of the global N-maps with more than 60% of identity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com