The third group consists of one complex-value numerical representation (as Code 9 in Table 2) called the Complex Number representation [2, 5, 6, 8, 14 16], it reflects the complementary nature of C-G and A-T pairs by mapping nucleotides as C = -1-j, G = -1+j, A = 1+j, and T = 1-j.
We adopted the procedure of Rudolph et al. [ 25] to code the mean expression of a cluster at each stage as flat, decrease, and increase and converted it to numerical representation as follows: "1" indicates no change between 0.5 and 2.0 fold change, and "0" and "2" indicate fold change ≤ 0.5 and ≥ 2 for down and up regulation, respectively.
The first group of numerical representations consists of five positive-integer-value numerical representations (as Codes 1-5 in Table 2) which shall be described as follows: The Integer Number representation [5, 6] is obtained by mapping numerals {1, 3, 2, 0} respectively to the four nucleotides as C = 1, G = 3, A = 2, and T = 0.
The second group of numerical representations consists of three real-value numerical representations (as Codes 6-8 in Table 2) which can be described as: The Electron-Ion Interaction Pseudo-potential (EIIP) represents the distribution of the free electrons energies along a nucleotide sequence.
When comparing each of the sixteen windowed 1-sequence numerical representations using WL = [9,15,24] bases to a non-windowed 4-sequence numerical representation (such as the Voss representation), the speed improvement ratio increases as SL increases which favours long nucleotide sequence analysis.
In general, the computational complexity of a 4-sequence numerical representation (such as the Voss representation [17]) is always four times that of a 1-sequence numerical representation if either windowing or non-windowing is used in the comparison.
Despite having similar left to right orientation in their numerical representation, and as a consequence of the kind of numerical input they receive, blind individuals may have a representation more dependent on working memory.
The tweet detail view now has a numerical representation of retweets and favorites, as well as a visual representation of the avatars that interacted with it.
Previous studies have used functional magnetic resonance imaging (fMRI) to examine the numerical representation for numbers as a function of modality or notation in the human intraparietal sulcus (IPS) (Eger et al. 2003; Cohen Kadosh, Cohen Kadosh, Kaas, et al. 2007; Piazza et al. 2007; Jacob and Nieder 2009; Cantlon et al. 2009).
In QSAR, chemical structures are expressed as descriptors, which are numerical representations such as calculated properties or enumerated fragments.
By estimating a numerical representation of preferences (known as 'utilities'), it is possible to isolate the effects of several factors associated with individual behaviour.
