The problem of evaluating the sign of the determinant of a small matrix arises in many geometric algorithms. Given an n × n matrix A with integer entries, whose columns are all smaller than M in Euclidean norm, the algorithm given here evaluates the sign of the determinant detA exactly. The algorithm requires an arithmetic precision of less than 1.5n+2 lgM bits. The number of arithmetic operati...

Data collection is one of the most important applications in Wireless Sensor Networks (WSNs), where the data are gathered from sensor nodes to the base station. To reduce energy consumption, the sensor node may not report every sensed data sample to the base station. Thus, the network traffic of continuous data collection application often varies unpredictably over different sampling intervals....

An amino-functionalized magnetic macroporous copolymer of glycidyl methacrylate (GM) and ethylene glycol (E) dimethacrylate (m-poly(GME)-deta) was synthesized, fully characterized, used to investigate the adsorption vanadium (V) oxyanions from aqueous solutions (Ci = 0.5 mM) in a batch system at room temperature (298 K). Pseudo-first-order (PFO), pseudo-second-order (PSO), Elovich, intra-partic...

Atom transfer radical addition (ATRA) and polymerisation (ATRP) reactions are commonly catalyzed by copper(I) complexes which react, reversibly, with a dormant alkyl halide initiator (RX) releasing a reactive organic radical R˙. The copper catalyst bears a multidentate N-donor ligand (L) and the active catalyst is simply Cu(I)L. The role of the catalyst in these reactions is to abstract a halog...

A 6-methoxyquinoline conjugated diethylenetriamine derivative, N,N''-bis(6-methoxy-2-quinolylmethyl)diethylenetriamine (6-MeOBQDIEN) has been synthesized and its fluorescent response toward zinc ion was investigated. In the presence of zinc ion, 6-MeOBQDIEN exhibits fluorescence (λ(ex) = 329 nm, λ(em) = 418 nm, φ = 0.039). The fluorescent intensity of the zinc complex of the compound is two tim...

A novel chiral open-framework fluoroaluminophosphate [C4N3H16][Al6P3O12F6(OH)6] was hydrothermally synthesized using diethylenetriamine as a structure-directing agent. The significant enantiomeric excess of the bulk product was confirmed by the solid state vibrational circular dichroism (VCD) spectrum.

Inhibition efficiencies of three amine derivatives (Diethylenetriamine (I), Triethylenetetramine (II), and Pentaethylenehexamine (III)) have been studied on corrosion of carbon steel using density functional theory (DFT) method in gas phase. Quantum chemical parameters such as EHOMO (highest occupied molecular orbital energy), ELUMO (lowest unoccupied molecular orbital energy), hardness (η), po...

When the directed graph of an n–by–n matrix A does not contain a Hamilton cycle, we exhibit a formula for detA in terms of sums of products of proper principal minors of A. The set of minors involved depends upon the zero/nonzero pattern of A.