PARIS. Academy of Sciences, June 15.—Adolphe Lindenbaum: Regulated ensembles.—Francesco Severi: Biharmonic functions and the theory of analytical functions of two complex variables.—Gaston Julia: Conformal representation of multiple associated areas.—Gr. C. Moisil: The use of generalised vector potentials in the integration of a class of partial differential equations.—R. Gosse: Equations s =f(x, y, z, p, q) which admit of an invariant of the second order.—G. Cerf: The characters of systems in involution of partial differential equations.—S. Mazurkiewicz: The problem of Lusin.—F. E. Myard: Closed chains with five rotoid couples deformable at the first degree of freedom.—E. Chausse and J. Baubiac: The secondary vortices produced below an obstacle immersed in a liquid.—Fernand Baldet: The Raffety bands and the spectra of comets. The radiations from the nuclei of comets cannot be identified with the Raffety bands given by the flame of an oxyacetylene blowpipe.—Ch. Racine: Contribution to the study of the static problem in the theory of relativity.—L. Goldstein: The application of quantic mechanics to chemical kinetics. Maurice Robert: Application of the oxymetal rectifier to the measurements of the maximum potential difference.—Stanislas Teszner: Recording mobile waves with a modified Dufour cathode ray oscillograph.—Louis Leprince-Ringuet: Relation between the path of a rapid proton in air and the ionisation which it produces. Application to the study of the artificial disintegration of the elements.—F. Margand: The damping of the oscillations of polyphase synchronised machines in the theory of two reactions.—Georges Fournier: The translation of light intensities into sound intensities. By means of the apparatus described, by listening at a telephone a blind person can distinguish the position of a window or source of light, the surface occupied on a table by a sheet of white paper, and other phenomena of light.—P. Waguet, A. Stampa, and J. Dourgnon: The rôle of irregularities of the profile of reflectors for motor car projectors and their photographic control.—Daniel Chalonge: The variations of the energy distribution in the continuous spectrum of molecular hydrogen.—Henri Grenat: The identification of the Raffety spectrum.—Marcel Laporte: The chemical reactions of ionised gases. The synthesis of nitric acid.—Cazaud: The influence of the magnitude of the micrographic grain on the resistance to fatigue of mild steel. The effects of cold-hardening, of annealing, and of overheating.—Marcel Godchot and Mlle. G. Cauquil: The viscosities, surface tensions, and parachors of some cyclo-hydrocarbons. —A. Portevin and A. Sanfourche: The attack of the common metals by solutions of phosphoric acid. Twelve metals were submitted to the attack of solutions of phosphoric acid of different origin and of varying concentrations. The results are given in a diagram.—L. Bert: The action of 1, 3-dichloropropene on the sodium phenols.—P. Carré and P. Mauclère: The transformation of the polyatomic alcohols into mono- and polychlorhydrins by means of thionyl chloride.—E. Calvet: Velocities and heats of saponification of the amides. The heats of saponification of the amides of the fatty series vary but little from one term to the next, but the saponification velocities vary rapidly, especially for the first terms.—Lespieau and Reginald L. Wakeman: The preparation of the trimethylene hydrocarbons: 1-methyl-2-propylcyclopropane. Starting with β-brom-propaldehyde, methylpropyltrimethylene has been prepared free from its ethylene isomer, as shown by its Raman spectrum.—Raymond Paul: Some derivatives of 1, 4, 5-pentane triol.—Paul Gaubert: The diffraction rings produced by spherolites with helicoidal structure.—Robert Lami: The saline heterogeneity of rock pools on the sea coast during rain.—A. Guilliermond: New researches on the microchemical characters and the mode of cytological formation of the anthocyanin pigments.—Henri Coupin: An unrecognised factor of the momentary variation of plants.—A. Ch. Hollande and Mme. G. Hollande: Cytological study of the different stages of the Eberth bacillus (Bacterium typhi).—Charles Richet, Jr., and Jean Dublineau: The effects of the puncture of the fourth ventricle on the combustion of protein materials.—Fernand Mercier and Léon J. Mercier: A new sparteine salt, neutral sparteine valerianate.—G. Champetier: The formation of the alkali celluloses.—P. Carneiro and W. Kopaczewski: The nature and specificity of antigens. The experiments described lead to the conclusion that immunity appears to be an electrocapillary phenomenon.—A. Trillat: Experiment on infection by air. The case of chicken cholera. The practical conclusion from the results obtained by the author is that chicken cholera can be transmitted by the air, especially confined air: hence poultry houses should be well ventilated in order to free them from the moisture accompanying the gaseous products of respiration.—C. Levaditi, P. Ravaut, P. Lépine, and Mile. R. Schoen: The affinity of a virus isolated from inguinal granulomatosis (Nicolas and Favre's disease) for the lymphatic system of the ape.