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| List of Institutions entitled to receive the Philosophical Transactions or Proceedings of the Royal Society | |
| Adjudication of Medals for the year 1898 | |
| I. On the Connexion of Algebraic Functions with Automorphic Functions. By E. T.WHITTAKER. B.A., Fellow of Trinity College, Cambridge. Communicated by Professor A. R. FORSYTH. Sc.D., F.R.S. | |
| II. Researches in Vortex Motion. - Part III. On Spiral or Gyrostatic Vortex Aggregates. By W. M. HICKS, D.Sc., F.R.S., Professor of Physics in University College, Sheffield | |
| III. On the Application of the Theory of Error to cases of Normal Distribution and Normal Correlation. By W. F. SHEPPARD, M.A., LL.M., Formerly Fellow of Trinity College, Cambridge. Communicated by Professor A. R. FORSYTH, F.R.S. | |
| IV. Mathematical Contributions to the Theory of Evolution. - V. On the Reconstruction of the Stature of Prehistoric Races. By KARL PEARSON, F.R.S., University College, London | |
| V. An Experiment in Search of a Directive Action of one Quartz Crystal on another By J. H. POYNTING, Sc.D., F.R.S., and P. L. GRAY, B.Sc. | |
| VI. Mathematical Contributions to the Theory of Evolution. - VI. Genetic (Reproductive) Selection: Inheritance of Fertility in Man, and of Fecundity in Thoroughbred Racehorses. By KARL PEARSON, F.R.S., ALICE LEE, B.A., B.Sc., and LESLIE BRAMLEY-MOORE | |
| VII. ionic Velocities. By ORME MASSON, M.A., D.Sc., Professor of Chemistry in the University of Melbourne. Communicated by Professor W. RAMSAY, F.R.S. | |
| VIII. Memoir on the Theory of the Partitions of Numbers. - Part II. By Major P. A. MACMAHON, R.A., D.Sc., F.R.S. | |
| IX. On the Condensation Nuclei produced in Gases by the Action of Röntyen Rays, Uranium Rays, Ultra-violet Light, and other Agents. By C. T. R. WILSON, M.A., Clerk-Maxwell Student in the University of Cambridge. Communicated by Professor J. J. THOMSON. F.R.S. | |
| X. The Thermal Deformation of the Crystallised Normal Sulphates of Potassium, Rubidium, and Casium. By A. E. TUTTON, B.Sc. Communicated by Captain ABNEY. C.B., F.R.S. | |
| XI. On the Electrical Conductivity of Flames Containing Salt Vapours. By HAROLD A. WILSON, B.Sc. (Lond. and Vic.), 1851 Exhibition Scholar, Cavendish Laboratory, Cambridge. Communicated by Professor J. J. THOMSON, F.R.S. | |
| Index to Volume | |
| Errata | |