For instance, it is worth noting that Niamsup and Phat [2] established sufficient stabilizability conditions for the zero solution of a discrete-time control system with many delays, under exponential growth assumptions on the corresponding transition matrix.
The investigation of stability of nonlinear difference equations with delays has attracted a lot of attention from many researchers such as Agarwal et al. [1 3], Baĭnov and Simeonov [4], Bay and Phat [5], Cooke and Ivanov [6], Gopalsamy [7], Liz et al. [8 10], Niamsup et al. [11, 12], Mohamad and Gopalsamy [13], Pinto and Trofimchuk [14], and references sited therein.
We utilized here the so-called phase transformation (PHAT) [27] leading to the following normalized cross correlation: s_{e_{l},e_{j}} kappa,k) = frac{1}{N_{textrm{FFT}}} ! sumlimits_{mu=0}^{N_{textrm{FFT}}-1} ! frac{overline{S}_{e_{l},e_{j}}(mu,k)}{left|overline{S}_{e_{l},e_{j}}(mu,k right|}, e^{jfrac{2 pi mu}{N_{textrm{FFT}}}kappa}.
PHAT [62] is a library that implements several algorithms and data structures for the fast computation of barcodes, takes a boundary matrix as input, and is the first software to implement a matrix-reduction algorithm that can be executed in parallel.
Page 6 under environment adapter section: Authors should consider adding the equation in which x c' and y c' = Phat -1 [x c y c] and the learning rule for P, as they do for indicating the update of W. Page 7: Authors randomize the order of the 4 experiments to account for the order of the task.
Interchangeability of the residues was defined by the substitutions scoring at least 0 in the PHAT (27) (transmembrane residue) and BLOSUM62 (28) (all other) substitution matrices (Supplemental Table 4).
Gene models were predicted using the ab initio gene finding programs GeneZilla, GlimmerHMM [ 65], Phat [ 66] and Snap [ 67] that used 395 partial and full length high confidence genes in the training set.
Genome annotations of the reference strain 3D7 were performed in silico using software tools including Artemis, Genefinder, GlimmerM, and phat [ 8, 9].
GCF is also known as Steered Response Power PHAse Transform (SRP-PHAT) [1] and there are several implementations (e.g., [19, 20]) and variations (e.g., [21]) of this method.
The RMS errors of the real-data segment are SRP-PHAT: 0.31 m, MCCC-PHAT: 0.29 m, Hamacher-PHAT: 0.14 m, and multi-PHAT: 0.14 m.
Microphone pairwise TDE functions are calculated inside each array with GCC-PHAT [19].
