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Overall, the study has developed novel methodologies in numerical representation for improved nucleotide to numeric mapping, spectral analysis for effective period-3 spectral value computation, and thresholding for more accurate classification of unknown exon and intron sequences of fixed and arbitrary length.
The Voss representation (i.e., the Code 17) is a commonly used numerical representation for period-3 spectral classification of exon and intron sequences [1, 2, 17, 24, 25].
It is widely believed that numeracy is founded upon a non-symbolic system of numerical representation (for reviews, see [1], [2]).
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).
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There are a number of numerical representations for nucleotide sequences.
We investigate three different numerical representations for nuclear mean-field calculations: finite differences, Fourier representation, and basis-splines.
The main purposes of this article are to introduce novel codes for 1-sequence numerical representations for spectral analysis and compare them to existing codes to determine appropriate representation, and to introduce novel thresholding methods for more accurate period-3 based exon and intron classification of an unknown sequence.
Thus the compatibility effect can serve as a quantifiable measure indicating the robustness of simultaneous processing of multiple (i.e., decomposed-digit) numerical representations (for a review, see Nuerk, Moeller, Klein, Willmes, & Fischer, 2011).
As much as 666 features derived from five categories of amino acid properties and one protein structure feature are used for numerical representation of proteins.
See Supplementary Figure S2 for a visualization of the model structure, Supplementary Figures S3 and S4 for the averaged connectivity parameter estimates, and Table 1 for a numerical representation of the results.
The monotonicity property is natural for any numerical representation of an order between the elements of (mathcal {X}).
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