By solving a Marchenko equation, Green’s functions at an arbitrary (inner) depth level inside unknown elastic layered medium can be retrieved from single-sided reflection data, which are collected the top of medium. To date, it has only been possible to obtain exact solution if obeyed stringent monotonicity conditions and all forward-scattered (non-converted converted) transmissions between acq...

were generated in Madison, Wisconsin, by Thompson’s group in 1998 (99). In contrast, murine ESC were isolated and initially described in the 1980s (27, 83) and have been used in many different models ever since, paving the way for current studies on hESC. The promise generated by the possible application of hESC to disease treatment has led to a tremendous interest in stem cell research overall...

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

let  be a banach algebra and  a derivation. in this paper, it is proved, under certain conditions, that , where  is the jacobson radical of . moreover, we prove that if  is unital and  is a continuous derivation, then , where  denotes the set of all primitive ideals such that  is commutative,  denotes the set of all maximal (modular) ideals such that  is commutative, and  is the set of all non-...

Human embryonic stem cell (hESC) lines, after directed differentiation, hold the greatest potential for cell transplantation treatment in many severe diseases. Good manufacturing practice (GMP) quality, defined by both the European Medicines Agency and the Food and Drug Administration, is a requirement for clinical-grade cells, offering optimal defined quality and safety in cell transplantation...

This article first explains concepts in taxometrics, including the meaning of "taxon" in relation to taxometric procedures. It then mathematically develops the MAXSLOPE procedure of Grove and Meehl which relies on nonlinear regression of one taxometric indicator variable on another. Sufficient conditions for MAXSLOPE's validity are set forth. The relationship between the point of maximum regres...

Bayesian networks have become one of the major models used for statistical inference. We study the question whether the decisions computed by a Bayesian network can be represented within a low-dimensional inner product space. We focus on two-label classification tasks over the Boolean domain. As main results we establish upper and lower bounds on the dimension of the inner product space for Bay...