NP-hardness of MAP in Ternary Tree Bayesian Networks

This paper strengthens the NP-hardness result for the (partial) maximum a posteriori (MAP) problem in Bayesian networks with topology of trees (every variable has at most one parent) and variable cardinality at most three. MAP is the problem of querying the most probable state configuration of some (not necessarily all) of the network variables given evidence. It is demonstrated that the problem remains hard even in such simplistic networks.

Ionothermal Syntheses of Nano- and Microstructured Ternary Copper–Indium–Chalcogenides

Ternary compounds of copper indium selenide nano- and microsized materials were prepared through colloidal synthesis using an indium(III) selenide precursor and copper(I) chloride via a microwave-assisted ionothermal route. The indium(III) selenide precursor used in the reaction was formed in situ from a diphenyl diselenide precursor and chloroindate(III) ionic liquids (ILs), also via a microwave-assisted ionothermal route. The crystal structures of three intermediates, namely, CuCl2(OMe)2(H2O)){Cu(PhSeO2)2}n, [CuCl(Se2Ph2)2]n, and [C8mim]3{Cu(I)Cl2Cu(II)OCl8}n, were determined after formation through a ionothermal procedure utilizing metal-containing imidazolium ILs and a selenium precursor with conventional heating. Herein, we compare the use of microwave irradiation over conventional heating with different ILs on the stoichiometry of the resulting products. The influence of the reaction temperature, reaction time, order of addition of reagents, and variation of ILs, which were characterized using PXRD, SEM, and EDX, on the final products was investigated.

Comparison of Parallelised R-matrix codes for electron impact excitation of Cr II

A comparison of collision strengths and effective collision strengths has been undertaken for the Cr II ion based on the model of Wasson et al [2010 A & A. 524 A35]. Calculations have been completed using the Breit-Pauli, RMATRX II and DARC suites of codes.