In this paper, two new classes of matrices - Drazin theta matrix and are introduced for a square index \begin{document}$ m $\end{document}. Whenever the is equal to one, we get special case called Group respectively. Several characterizations these matrices, integral representations, representation in lim...

Oscillatory neuronal dynamics, observed in the human electroencephalogram (EEG) during language processing, have been related to the dynamic formation of functionally coherent networks that serve the role of integrating the different sources of information needed for understanding the linguistic input. To further explore the functional role of oscillatory synchrony during language processing, w...

To study the differences in functional brain networks between eyes-closed (EC) and eyes-open (EO) at resting state, electroencephalographic (EEG) activity was recorded in 21 normal adults during EC and EO states. The synchronization likelihood (SL) was applied to measure correlations between all pairwise EEG channels, and then the SL matrices were converted to graphs by thresholding. Graphs wer...

OBJECTIVE Scopolamine, a muscarinic receptor antagonist, can produce temporary cognitive impairments as well as electroencephalographic changes that partially resemble those observed in Alzheimer's disease. In order to test the sensitivity of spectral power and hemispheric coherence to changes in cholinergic transmission, we evaluated quantitative magnetoencephalogram (MEG) after intravenous in...

Dirac fermions in $2+1$ dimensions with dynamically generated anticommuting SO(3) antiferromagnetic (AFM) and Z$_2$ Kekul\'e valence-bond solid (KVBS) masses map onto a field theory topological $\theta$-term. This term provides mechanism for continuous phase transitions between different symmetry-broken states: defects of one carry the charge other proliferate at transition. The $\theta$-term i...

Dilation theory is a paradigm for studying operators by way of exhibiting an operator as compression another which in some sense well behaved. For example, every contraction can be dilated to (i.e., of) unitary operator, and on this simple fact penetrating non-normal has been developed. In the first part survey, I will leisurely review key classical results dilation single or several commuting ...

The complete sequence of plasmid pEA29 from Erwinia amylovora strain Ea88 consists of 28,185 bp with a 50.2% G+C content. As deletions and insertions were detected in other derivatives of pEA29, its size actually varied from 27.6 to 34.9 kb. Thirteen open reading frames that encoded predicted proteins with similarities to known proteins from other bacteria were identified along with two open re...

Rhythmic brain activity at low frequencies (<12Hz) during rest are thought to increase in neurodegenerative disease, but findings in healthy neurocognitive aging are mixed. Here we address two reasons conventional spectral analyses may have led to inconsistent results. First, spectral-power measures are compared to a baseline condition; when resting activity is the signal of interest, it is unc...