FEBRUARY 1, 1901.] 
CHICAGO SECTION OF THE AMERICAN 
MATHEMATICAL SOCIETY. 
THE eighth regular meeting of this Sec- 
tion was held at the University of Chicago 
on Thursday and Friday, December 27 and 
28, 1900. The Section was organized in 
April, 1897, under a by-law of the Society 
which provides for conducting in any lo- 
cality periodic meetings for the reading 
and discussion of mathematical papers, and 
since then has met twice a year, in April 
and December. During this period a total 
of 128 papers, by fifty-two different persons, 
have been read before the Section. 
The election of officers, which occurs 
regularly at the Christmas meeting, re- 
sulted in the re-appointment of the Secre- 
tary, Professor Thomas F. Holgate, and the 
choice of Professor E. J. Townsend and 
Professor James B. Shaw for members of 
the Program Committee. 
The following papers were read: 
1. Prorrssor E. H. Moore: ‘On the uniformity 
of continuity.’ 
2. PROFESSOR ARTHUR S. HATHAWAY : ‘ Quater- 
nions and four-fold space.’ 
3. PROFESSOR IRVING STRINGHAM : ‘On the geom- 
etry of planes in a parabolic space of four dimensions.’ 
4, Dr. F. H. SAFFORD: ‘Flow of heat in two 
dimensions.’ 
5. Mr. A. C. Lunn: ‘Certain mathematical 
aspects of experimental science.’ 
6. Mr. E. A. Hook: ‘Some properties of circulat- 
ing decimals.’ 
7. PROFESSOR ARNOLD EMcH : ‘ Note on the con- 
gruences of twisted curves.’ 
8. PROFESSOR H. B. Newson: ‘A generalization 
of the Wessel-Gauss-Argand diagram.’ 
9. Dr. F. R. Moutton : ‘On straight line solutions 
of the problem of 7 bodies.’ 
10. Dr. GILBERT A. Buiss: ‘Geodesic lines on an 
anchor ring.’ 
11. Mr. Franz A. LA Morte: ‘On the determi- 
nation of the algebraic equations invariant under 
Tschirnhausen transformations, with the parameter 
representation of all such irreducible equations, with 
rational coefficients, of the third and fourth degrees.’ 
12. PRorressor E. J. TOWNSEND: ‘Functions of 
two real variables which are continuous with respect 
to each variable.’ 
SCIENCE. 
181 
13. PROFESSOR L. E. Dickson : ‘The group of the 
equation for the twenty-seven lines on a general cubic 
surface.’ 
14. PROFESSOR OsKAR BoLzA: ‘Concerning the 
expression of Abelian integrals in terms of a funda- 
mental set of integral functions.’ 
15. Dr. J. C. Frenps: ‘Proof of the Riemann- 
Roch theorem and of the independence of the condi- 
tions for adjointness.’ 
16. PROFESSOR OSCAR SCHMIEDEL: ‘Two reduc- 
tion formulas applicable to certain particular inte- 
grals.’ 
17. PROFESSOR EH, B. SKINNER : Some forms which 
remain invariant with respect to certain ternary mo- 
nomial substitution groups.’ 
18. PROFESSOR JAMES B. SHAW: Note indicating 
a new development of a determinant.’ 
19. PRoFEsSOR E. H. Moore: ‘On double limits.’ 
20. PRoFESsOR E. H. MoorE: ‘Concerning the 
fundamental propositions of the theory of proper 
definite integrals.’ 
21. Miss IpA M. ScHorreNFELS : ‘ Proof of the 
existence of a particular substitution group of de- 
gree 21 and order 20160.’ 
In addition to the above Professor Hath- 
away presented a paper introducing a gen- 
eral discussion on the subject ‘ Pure Mathe- 
matics for Engineering Students.’ 
Tuomas F. HoLeate, 
Secretary of the Section. 
EVANSTON, ILLINOIS. 
WISCONSIN ACADEMY OF SCIENCES, ARTS, 
AND LETTERS. 
Tue thirty-first annual meeting of the 
Academy took place at Milwaukee, Decem- 
ber 27 and 28, 1900. The following papers 
were read and discussed : 
‘Anexample of a theoretical system of weight-fac- 
tors, of ready application in the solution of observa- 
tion equations,’ by Albert 8. Flint. 
‘Harmonic curves of three frequencies.’ (Second 
paper.) With exhibition of stereograms drawn by 
E. A. Hook, by Charles S. Slichter. 
‘On repeating decimals,’ by E. A. Hook. 
‘On an improved method of determining latent 
heat of vaporization,’ by Louis Kahlenberg. 
“A campaign ery of 1844,’ by H. J. Desmond. 
‘Early political platforms in Wisconsin,’ by John 
G. Gregory. 
‘Personal names, their etymology,’ by James D. 
Butler. 
