Displacements at Divalent Group VI Elements.

Moves and displacements of particular elements in Quicksort

In this research note we investigate the number of moves and the displacement of particular elements during the execution of the well-known quicksort algorithm. This type of analysis is useful if the costs of data moves were dependent on the source and target locations, and possibly the moved element itself. From the mathematical point of view, the analysis of these quantities turns out to be r...

Incommensurate high-pressure and high-temperature structures in group VI elements

In this paper we provide a review of the revolution that has taken place over the past few years in our ability to produce and exploit ultra-bright, ultra-short pulses of X-radiation. For some time, nanosecond and picosecond optical lasers have been used to generate K-shell line radiation to interrogate rapid structural changes in matter. A good example of such work is the recent observation of...

A Divalent Protecting Group for Benzoxaboroles.

1-Dimethylamino-8-methylaminonaphthalene is put forth as a protecting group for benzoxaboroles. The ensuing complex is fluorescent, charge-neutral, highly stable under basic conditions, stable to anhydrous acid, and readily cleavable in aqueous acid to return the free benzoxaborole.

On group Elements Having Square Roots

Sensor Network Localization on the Group of Three-Dimensional Displacements

We consider the problem of estimating relative configurations of nodes in a sensor network based on noisy measurements. By exploiting the cyclic constraints induced by the sensing topology to the network, we derive a constrained optimization on SE 3 n. For the case of a network with a single cyclic constraint, we present a closed-form solution. We show that, in certain cases, namely restriction...