cecuo3 nanoparticles with diameter 4.36 nm was synthesized by a fast and simplemicrowave method using cerric sulphate tetra hydrate and copper sulphate pentahydrate asstarting reagents. cecuo3 was synthesized under microwave heating for 6 min without calciningsteps. the synthesized products were characterized by x-ray powder diffraction (xrd) andscanning electron microscopy (sem) and the photoc...

Article history: Received 30 April 2014 Available online 18 September 2014 Communicated by Charles Leedham-Green

We give a proof of Green’s theorem which captures the underlying intuition and which relies only on the mean value theorems for derivatives and integrals and on the change of variables theorem for double integrals.

Now that the conjectures of Leedham-Green and Newman have been proved, we probe deeper into the classification of p-groups using coclass. We determine the pro-2-groups of coclass at most 3 and use these to classify the 2-groups of coclass at most 3 into families. Using extensive computational evidence, we make some detailed conjectures about the structure of these families. We also conjecture t...