we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a  direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...

A self-contained theory is presented for pricing and hedging LIBOR and swap derivatives by arbitrage. Appropriate payoff homogeneity and measurability conditions are identified which guarantee that a given payoff can be attained by a self-financing trading strategy. LIBOR and swap derivatives satisfy this condition, implying they can be priced and hedged with a finite number of zero-coupon bond...

We give the optimal decomposition of a universal two-qubit circuit using Heisenberg exchange interactions and single qubit rotations. Tuning the strength and duration of the Heisenberg exchange allows one to implement SWAP gates. Our optimal circuit is constructed from only three SWAP gates and six single qubit gates. We show that three SWAP gates are not only sufficient, but necessary. Since s...

Objective(s): Nanocarriers are drug delivery vehicles, which have attracted the attention of researchers in recent years, particularly in cancer treatment. The encapsulation of anticancer drugs using protein nanocages is considered to be an optimal approach to reducing drug side-effects and increasing the bioavailability of anticancer drugs. Epirubicin (EPR) is an active chemotherapeutic medica...

The design of concurrent data structures is greatly facilitated by the availability of synchronization operations that atomically modify k arbitrary items, such as kread–modify–write (krmw). Aiming to increase concurrency in order to exploit the parallelism offered by today’s multi-core andmulti-processing architectures, we propose a highly concurrent software implementation of krmw, with only ...