Discussion: “Drawing of Tubes Filled With Particulate Solids” (Polakowski, N. H., and Mayfield, R. M., 1965, ASME J. Eng. Ind., 87, pp. 80–84)

Closure to “Discussion of ‘Factors of Safety for Richardson Extrapolation’ ” (2011, ASME J. Fluids Eng., 133, p. 115501)

The Technical Brief by Roache [1] presents ten items of discussion of our factor of safety (FS) method for solution verification [2]. Our responses are listed below item-by-item using the same numbering as Roache. The nomenclature mostly follows our own and not Roache’s such as pRE for the order of accuracy calculated using the Richardson Extrapolation as opposed to the observed order of conver...

Solvable Lie algebras with $N(R_n,m,r)$ nilradical

In this paper, we classify the indecomposable non-nilpotent solvable Lie algebras with $N(R_n,m,r)$ nilradical,by using the derivation algebra and the automorphism group of $N(R_n,m,r)$.We also prove that these solvable Lie algebras are complete and unique, up to isomorphism.

How , M . J . , Christy , J . H . , Temple , S . E . , Hemmi , J . M . , Justin Marshall , N .

Harmonic maps from R^n to H^m with symmetry

It is known that there is no nonconstant bounded harmonic map from the Euclidean space R to the hyperbolic space H. This is a particular case of a result of S.-Y. Cheng. However, there are many polynomial growth harmonic maps from R to H by the results of Z. Han, L.-F. Tam, A. Treibergs and T. Wan. One of the purposes of this paper is to construct harmonic maps from R to H by prescribing bounda...

Goodwin , G . M . and Haddad , P . M . and Ferrier , I . N . and Aronson , J . K . and Barnes , T . R . H .

The British Association for Psychopharmacology guidelines specify the scope and targets of treatment for bipolar disorder. The third version is based explicitly on the available evidence and presented, like previous Clinical Practice Guidelines, as recommendations to aid clinical decision making for practitioners: it may also serve as a source of information for patients and carers, and assist ...