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The ADT table of pairs is a collection of pairs.
But it is by no means obvious how to produce a choice function for the collection of pairs of arbitrary sets of real numbers.
For example, as already mentioned, it is easy to come up with a choice function for the collection of pairs of real numbers (simply choose the smaller element of each pair).
A map type from a type A to a type B is a type that associates with each element of A to a unique element of B. A map value can be assumed as an unordered collection of pairs in which the first element is a key which is used to get the second element of the pair.
Let ({mathcal {F}}={(A,B):Asubseteq S, Bsubseteq S}) be a collection of pairs of subgraphs of S. For any constant c ge )1, we call ({mathcal {F}}) a c-Well Separated Subgraph Decomposition, c-WSSD in short, if the following conditions are satisfied: 1.
We denote by L g r ( L K ( E ) ) the collection of two-sided graded ideals of L K ( E ), and by T E the collection of pairs ( H, S ) where H is a hereditary saturated subset of E, and S ⊆ B H. [97, Theorem 5.7] Let E be an arbitrary graph and K any field.
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In a consistency-based algorithm, the reward for aligning two residues is estimated from a collection of pair-wise residue alignments named the library.
To exemplify the use of the tutorial, we have used Affymetrix's colon cancer dataset [ 14], consisting of a collection of paired samples of colon tumour tissue and adjacent normal tissue from 10 patients and available at http://www.affymetrix.com/support/technical/sample_data/exon_array_data.affx.
Each experiment used separate collections of pairs of three-dimensional junk objects.
Collections of pair wise orthologous groups between human and other genomes were downloaded from InParanoid database [28].
Collections of pair wise orthologous groups between human and other genomes were downloaded from the InParanoid database [ 26].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com