Referee's report by Henry John Stephen Smith, on a paper 'On the calculus of symbols.— Fifth memoir. With applications to linear partial differential equations, and the calculus of functions' by William Henry Leighton Russell Not recommended for publication in the 'Philosophical Transactions of the Royal Society'. The paper has two parts, is no apparent connection between them. Refers to work by George Boole. Suggests the paper be printed in the Proceedings. Considers the work fragmentary and disconnected, but might in time coalesce into a comprehensive theory. Subject: Mathematics [Published in the 'Proceedings of the Royal Society of London', 1864] 22 June 1864