George A. Graham

On a problem of Graham

p non-zero residues (mod p) . Assume that if ' a i a i , ei=0 or 1 (not all e i=0) is a i=1 p multiple of p then is uniquely determined . The conjecture states that in this i=1 case there are only two distinct residues among the a's . We are going to prove this conjecture for all sufficiently large p, in fact we will prove a sharper result . To extend our proof for the small values of p would r...

A Conversation with Graham Hutchings

G raham Hutchings of Cardiff University made a discovery in 1982 that came to define his career. He predicted that golddespite its reputation for being inertshould be an excellent catalyst for an industrial reaction that makes vinyl chloride monomer (VCM, or chloroethene), used to produce one of the world’s most ubiquitous plastics, polyvinyl chloride (PVC). More than three decades later, Hut...

Graham Lusk *

George a Oswald

those without environmental insults or behavioural problems, as suggested in Drs Newell and Green's algorithm, diagnoses would have been missed. The three studies quoted were performed more than 10 years ago. Subsequent refinements in techniques of chromosome analysis allow identification of minor chromosome abnormalities that might previously not have been recognised-for example, in our series...

George

not much worried whether they be right or wrong. His desire to be the center of attraction may lead him to do things considered irrational when viewed from other angles. If he is in the upper 10 per cent of his class at school, it might be well to advance him to the next grade, provided he is sufficiently interested to show that he is capable of doing the work. If convenient, the teacher should...