The SO statistics of the data considered in the following correspond to the first and second correlation matrices of x v (nT), defined by R x (nT) ≜ E[x v (nT x v (nT) H ] and C x (nT) ≜ E[x v (nT x v (nT) T ] respectively, where T and H correspond to the transposition and transposition conjugation operation respectively.
Inversion, inversed transposition, and transposition are "reversible" rearrangements because they do not assign the changes a chronological order and, thus, cannot be used alone to define the plesiomorphic/apomorphic status of opposite transformational pathways (i.e., GO1 GO2 vs. GO2 GO1) occurring between two GOs.
X T, X H and X−1 denote transposition, conjugate transposition and inversion of X.
We use E, trT, H, and ∥ ∥2 for expectation, trace of a matrix, transposition, conjugate transposition, and Euclidean norm, respectively.
The superscripts T, H, −1, and ∗ refer to matrix transposition, Hermitian transposition, matrix inversion, and complex conjugation, respectively.
The test presents ten subtests: syllable synthesis, phonemic synthesis, syllable segmentation, phonemic segmentation, syllable manipulation, phonemic manipulation, syllable transposition, phonemic transposition, rhyme, and alliteration.
We use the superscripts T, H, -1, +, and * for transposition, Hermitian transposition, matrix inversion, the Moore-Penrose pseudo inverse of matrices, and complex conjugation, respectively.
We analyzed 1,978 nested CR1 elements and developed a multidimensional approach taking advantage of their transposition in transposition character (TinT) to characterize the fixation patterns of all 22 known chicken CR1 subtypes.
In patients with congenitally corrected transposition or transposition that has been corrected with atrial switch, the morphological RV pumps blood to the aorta.
The first method is based on site-specific transposition (Tn7 transposition) of an expression cassette into the baculovirus genome in E. coli; the second employs a transfer vector and viral DNA that are cotransfected into insect cells and utilizes host enzyme-mediated homologous recombination.
where the dagger † implies conjugation and transposition.
