The quantum derivatives of e, A and logA which play a basic role in quantum statistical physics are derived and their convergence is proven for an unbounded positive operator A in a Hilbert space. Using the quantum analysis based on these quantum derivatives, Kubo’s linear response theory is reformulated in terms of the inner derivation δH for the relevant Hamiltonian H, and Zubarev’s theory is...

The paper is devoted to local derivations on the algebra S(M, τ) of τ measurable operators affiliated with a von Neumann algebra M and a faithful normal semi-finite trace τ. We prove that every local derivation on S(M, τ) which is continuous in the measure topology, is in fact a derivation. In the particular case of type I von Neumann algebras they all are inner derivations. It is proved that f...

This paper presents a new single-wire autonomous current-share paralleling of current-mode controlled DC power supplies. The proposed control scheme makes use of the nature of fast response of the inner current loop and the share bus injected signal to improve the response of the power system. It reduces the unbalance of current distribution during the transient state and avoids the fault alarm...

This paper examines iterative decoding of a serial concatenated coding scheme consisting of an outer convolutional and an inner Walsh-Hadamard block code, and the scheme is applied for an OFDM-CDMA uplink transmission. New aspects arise because OFDM enables the iterative decoding structure to exploit time as well as frequency diversity of a mobile radio channel. To the authors knowledge, this i...

The RuleML family of Web rule languages contains derivation (deduction) rule languages, which themselves have a webized Datalog language as their inner core. Datalog RuleML’s atomic formulas can be (un)keyed and (un)ordered. Inheriting the Datalog features, Hornlog RuleML adds functional expressions as terms. In Hornlog with equality, such uninterpreted (constructor-like) functions are compleme...

The quantum derivatives of e, A and logA, which play a basic role in quantum statistical physics, are derived and their convergence is proven for an unbounded positive operator A in a Hilbert space. Using the quantum analysis based on these quantum derivatives, a basic equation for the entropy operator in nonequilibrium systems is derived, and Zubarev’s theory is extended to infinite order with...

Embryonic stem cells (ESCs) are derived from the inner cell mass (ICM) of an embryo at the blastocyst stage. They are characterised by the ability to proliferate indefinitely (or selfrenew) in vitro while maintaining pluripotency, i. e. the capacity to differentiate into germ cells and a broad number of cell types that originate from the three primary germ layers endoderm, mesoderm and ectoderm...

Two natural and efficient stopping criteria are derived for conjugate gradient (CG) methods, based on iteration parameters. The derivation makes use of the inner product matrix B defining the CG method. In particular, the relationship between the eigenvalues and B-norm of a matrix is investigated, and it is shown that the ratio of largest to smallest eigenvalues defines the B-condition number o...

This paper presents a new single-wire autonomous current-share paralleling of current-mode-controlled dc power supplies. The proposed control scheme makes use of the nature of fast response of the inner current loop and the share bus injected signal to improve the response of the power supplies. It reduces the unbalance of current distribution during the transient state and avoids the fault ala...

Human embryonic stem cells (hESCs) are pluripotent cell types derived from the inner cell mass of human blastocysts. Recent data indicate that the majority of established female XX hESC lines have undergone X chromosome inactivation (XCI) prior to differentiation, and XCI of hESCs can be either XIST-dependent (class II) or XIST-independent (class III). XCI of female hESCs precludes the use of X...