Consider the Gregory integration (G) formula ( ) ( ) ( ) ( ) ( ) 0 0 0 0 ! k k n n k k k h h k k a f x dx f k f f n k − = ≥ ⎛ ⎞ = + Δ + Δ ⎜ ⎟ ⎝ ⎠ ∑ ∑ ∫ (1) with end corrections where h Δ is the forward difference operator with step size h. In this study we prove that (1) can be optimized by minimizing some of the coefficient k a in the remainder term by particle swarm optimization. Experimental...

a novel pyridine-2,6-dicarboxylic acid mixed ligands complex of formula [co(no3)2].6h2o has been obtained by the reaction of pyridine-2,6-dicarboxylic acid with cobalt nitrate and 1,10-phenanthroline on heating in water. the structures of [co(pydc)(phen)(h2o)](pydch2).4h2o receptors, and their complexes were optimized using dft method at the b3lyp/3-21g** level. the highest occupied molecular o...

The oil and gas production has grown steadily, the care with its transportation grid needs to be maintained expanded. pipeline used in transport of by-product requires materials high mechanical strength, toughness, fatigue resistance. chemical composition distribution, amount, morphology final microconstituents steel are paramount importance once it will directly influence properties. fracture ...