CONTENTS 
PAGE 
Officers and Members of the Academy vii 
Report of the Autumn Meeting, 1918 87 
Report of the Annual Meeting, 1919 479 
Award of Medals 492 
Research Grants from Trust Funds of the Academy 492 
Index 609 
NATIONAL RESEARCH COUNCIL 
Minutes of Meetings of the Executive Board 50, 91, 299, 360, 462, 532, 603 
Minutes of Joint Meetings of the Executive Board with the Council of the 
Academy 180, 189, 354, 452, 523 
Organization of the National Research Council 184 
Executive Order issued by the President of the United States 188 
National Research Fellowship in Physics and Chemistry 313 
Meetings of the Interim Committee 447, 459, 469, 528, 599 
Organization of Divisions of Science and Technology 316 
Some Problems of Sidereal Astronomy By Henry N orris Russell 391 
MATHEMATICS 
A Theorem on Power Series, with an Application to Conformal Mapping 
By T. H. Gronwall 22 
Tables of the Zonal Spherical Harmonic of the Second Kind Qi(z) and Qi'(2) . . 
By A. G. Webster and Willard Fisher 79 
On the Real Folds of Abelian Varieties By S. Lefschetz 103 
CovARiANTS OF BiNARY MODULAR Groups By OUver Edmunds Glenn 107 
The General Solution of the Indeterminate Equation: Ax By Cz+ . . . 
= r ByD.N.Lehmer 111 
On the Most General Class L of Fr^chet in which the Heine -Borel-Lebesgue 
Theorem Holds True By Robert L. Moore 206 
On a Certain Class of Rational Ruled Surfaces By Arnold Emch 222 
On the Twist in Conformed Mapping By T.H. Gronwall 248 
Groups Involving Only Two Operators Which are Squares By G. A. Miller 272 
Real Hypersurfaces Contained in Abelian Varieties By S. Lefschetz 296 
Conditions Necessary and Sufficient for the Existence of a Stieltjes In- 
tegral By R. D. Carmichael 551 
Transformations of Cyclic Systems of Circles By L. P. Eisenhart 555 
ASTRONOMY 
Perturbations and Tables of the Minor Planets Discovered by James C. Watson 
By Armin 0. Leuschner 67 
Evidence of Stream Motion Afforded by the Faint Stars Near the Orion Nebula 
By Adriaan van Maanen 225 
On the Use of the Spectroscopic Method for Determining the Parallaxes of 
the Brighter Stars ByW.S. Adams and G. Stromberg 228 
