J. W. GRAHAM "Eight--Nine--Out"

minimum inertia balance w eight

the optimum shape of balance weights is determined, using two different criteria. according to one, one of the balance weights should have minimum size. while the other requires that the mass moment of inertia about the axis of rotation should be minimum. in the second case, the calculus of variation is used to determine the optimum shape. graphs are presented to enable designers to find the di...

The Monoids of Order Eight and Nine

We describe the use of symbolic algebraic computation allied with AI search techniques, applied to the problem of the identification, enumeration and storage of all monoids of order 9 or less. Our approach is novel, using computer algebra to break symmetry and constraint satisfaction search to find candidate solutions. We present new results in algebraic combinatorics: up to isomorphism and ant...

Dr J. W. Ballantyne

W. G. J. Hampson

Lady Manners School Bakewell, Corpus Christi College, Oxford, and St. Mary's Hospital. He graduated B.A. (Physiology) in 1960 and M.A., B.M., B.Ch., in 1964. After qualification his first appointment was to the orthopaedic unit at St. Mary's and this post produced a life-long enthusiasm for the speciality. Further posts at St. Mary's followed and he worked at Coventry, Oxford, Liverpool and Edi...

Multiple Parton Interactions in Z + 4 j , W ± W ± + 0 / 2 j and W + W − + 2 j production at the LHC