Knot theory is actively studied both by physicists and mathematicians as it provides a connecting centerpiece for many physical mathematical theories. One of the challenging problems in knot distinguishing mutant knots. Mutant knots are not distinguished colored HOMFLY-PT polynomials either symmetric or antisymmetric representations $SU(N)$. Some can be simplest non-symmetric representation $[2...

Most patients with mild cognitive impairment (MCI) are thought to be in an early stage of Alzheimer's disease (AD). Resting-state functional magnetic resonance imaging reflects spontaneous brain activity and/or the endogenous/background neurophysiological process of the human brain. Regional homogeneity (ReHo) rapidly maps regional brain activity across the whole brain. In the present study, we...