Abstract
THE number opens with a memoir, by M. Poincaré, “Sur les Fonctions Abéliennes.” The author gives here a résumé, with additional details, of a demonstration and generalisation of two of Weierstrass's theorems, which he had previously published in the Proceedings of the Mathematical Society of France (tome xii. p. 124). He then extends a theorem of Abel's from plane curves to surfaces, and refers, for fuller details, to a crowned memoir of M. Halphen's, “Sur les Courbes gauches algébriques.” He next discusses some properties of “fonctions inter-médiaires,” using the term in the sense given by MM. Briot and Bouquet. This memoir occupies fifty-four pages. The second paper, on “A Generalised Theory of the Combination of Observations so as to obtain the best Result” (24 pp.), is by the editor, Prof. Newcomb. A very valuable article, with important practical applications. The final article (22 pp.), “On Symbolic Finite Solutions and Solutions of Definite Integrals of the Equation—
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