We summarize the basic properties of continuous tensor product systems of Hilbert spaces and their role in non-commutative dynamics. These are lecture notes, not intended for publication. 1. Concrete Product Systems In these notes we assume the reader is familiar with the definition and basic properties of E0-semigroups, and has some familiarity with their role in noncommutative dynamics. Our p...

Background: Heat stress in the steel industry is considered as a serious threat to the health and safety of workers. A wide spectrum of complications and diseases from mild disorders such as burning sensation to fatal conditions such as thermal shock may occur due to uncontrolled thermal stress. In this study, heat stress assessment was performed according to the wet-bulb globe temperature (WBG...

Hardy–Sobolev–type inequalities associated with the operator L := x · ∇ are established, using an improvement to the Sobolev embedding theorem obtained by M. Ledoux. The analysis involves the determination of the operator semigroup {e−tL∗L}t>0.

We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

This study reports on the design and implementation of a reading program — Extensive Reading Online (ERO) — that aims to offer an online reading platform featuring specific needs for EFL learners in Taiwan. The system includes both teacher and student interfaces. Several reading aids are integrated into the system, such as concordancer help, stage-by-stage reading strategy training, and text an...

The paper argues that WTO has not been functioning in a transparent manner and that the benefits of globalisation have not reached all countries. If Seattle is any indication, WTO is in fact 'a rich man's club'. Developed countries have been adopting the strategy of prying open the markets of developing countries while at the same time, erecting barriers that prevent access to markets in their ...

Bacillus stearothermophilus ArgR binds efficiently to the Escherichia coli carAB operator, whereas the E. coli repressor binds very poorly to the argCo operator of B. stearothermophilus. In order to elucidate this contradictory behavior between ArgRs, we constructed chimeric proteins by swapping N-terminal DNA-binding and C-terminal oligomerization domains or by exchanging the linker peptide. C...

Including translation matrices in covariant non-unitary Poincaré representations alters the construction of massive particle fields from canonical unitary fields. The conventional procedure without spacetime translation matrices determines covariant fields that transform by matrix representations of the homogeneous Lorentz group combined with a differential operator representation of the Poinca...