Note that an encoding that transforms a sequence alignment into a second-order tensor, i.e., a matrix, effectively introduces into the analysis assumptions regarding the relations among the nucleotides in the RNA structure.
We note that an encoding that transforms a sequence alignment into a second-order tensor, i.e., a matrix, effectively introduces into the analysis assumptions regarding the relations among the nucleotides in the rRNA structure.
The rank algorithm transforms a sequence of numbers { x1; x2; x3; …; x n } into a sequence composed of 1 and 0. The transform format is as follows: (5) I n = { 0 ; if x n ≤ x n − 1 ; 1 ; if x n > x n − 1.
The pseudo code of the algorithm for generating K protein-like sequences P1 …, P K of points is as follows: Below we describe the algorithm for transforming a sequence of points P into a protein-like structure P r o t e i n i z e(P).
Essentially, we transform a DNA sequence into a sequence of mega-observations using an overlapping sliding window of size k, and then associate each mega-observation with a variable X t.
The main principle of these algorithms is decomposing the computation of the discrete fourier transform of a sequence of length N into smaller discrete fourier transforms see Figure 2. Figure 2 Flow graph of the decimation-in-frequency decomposition of an N -point DFT computation into four (N/4 -point DFT computatioN/4 -point6).
These methods were primarily designed to transform a convergent, real valued sequence into another sequence that converges faster to the same limit.
Mallat highlighted that the wavelet transform has a sequence of local maxima that converges to a point at a finer scale even though the function is regular at that point [2, 3].
where σ m n α β denotes the mn-term of the C transform of a sequence ( s m n ) ; i.e., σ m n α β = 1 E m α E n β ∑ i = 0 m ∑ j = 0 n E m − i α − 1 E n − j β − 1 s i j. (2).
Let us denote the z transform of a sequence (f=left {f_{k}right }_{k=0}^{infty }) as (F[!z]=sum _{k=0}^{infty }f_{k} mathrm z^{-k}) and express the output (sequence) b of the linear time invariant (LTI) system F[ z] to the input (a={a_{k}}_{k=0}^{infty }) as b=F[ z]a. Figure 1 shows the error feedback configuration of a Δ Σ modulator.
