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Lacock Abbey, Chippenham - Talbot asks who to contact concerning membership to the British Association for the Advancement of Science, as the next meeting will be held near him. He is engaged in preparing a mathematical paper for the Royal Society, on the Integral Calculus, offering a solution to the problem of finding an algebraic sum of a series of integrals like ƒφ(X) αγ where φ is any function whatever of the rational polynomial X. He notes that George Jerrard has proposed a solution of algebraic equations of the 5th degree and recommends it be put to the test; and a solution in Gergonne's Annals by a Swedish officer of an equation that has no demonstration appended and therefore appears to have been ignored.