We investigate a class of brickwork-like quantum circuits on chains $d-$level systems (qudits) that share the so-called `dual unitarity' property. Namely, these generate unitary dynamics not only when propagating in time direction, but also space direction. consider space-time homogeneous (Floquet) and perturb them with quenched single-site disorder, i.e. by applying independent single site ran...

Background: The aim of the present study was to develop a three-dimensional (3D) collagen gel culture system for the in vitro growth and survival of buffalo preantral follicles with or without growth factors. Materials and Methods: Buffalo ovaries were collected from a local abattoir and preantral follicles were isolated through microdissection. Isolated preantral follicles were put either in c...

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

let $rin textbf{c}^{mtimes m}$ and $sin textbf{c}^{ntimes n}$ be nontrivial involution matrices; i.e., $r=r^{-1}neq pm~i$ and $s=s^{-1}neq pm~i$. an $mtimes n$ complex matrix $a$ is said to be an $(r, s)$-symmetric ($(r, s)$-skew symmetric) matrix if $ras =a$ ($ ras =-a$). the $(r, s)$-symmetric and $(r, s)$-skew symmetric matrices have a number of special properties and widely used in engi...