This paper gives an introductory account of the construction and properties of generalized functions f(x) of real variables x1, x2, ...,xn. These are defined so as to ensure that (i) any generalized… Expand

An investigation is made of the forced liquid motion in a rotating cylindrical vessel with a horizontal base when a temperature difference exists between the outer and inner cylindrical boundaries of… Expand

In this paper a theorem of Kato (1949) which provides upper and lower bounds for the eigenvalues of a Hermitian operator is modified and generalized so as to give upper and lower bounds for the… Expand

The operational wave equation used in this paper is a generalisation of the linear wave equation introduced by Dirac. The generalisation consists in replacing Dirac’s matrices by any four linear… Expand

In this paper, a family of exact* solutions is found for the two-dimensional flow of a compressible perfect fluid about a cylinder. The present work is restricted to the case where the circulation is… Expand