464 



SCIENCE 



[N. S. Vol. LIII. No. 1376 



8. H. Blumberg, ' ' New properties of all func- 



tions. ' ' 



9. E. B. Van Vleek, ' ' On non-loxodromic substi- 



tution gTflups in n dimensions. ' ' 



10. G. A. MiUer, "An overlooked infinite system 



lof groups of order pq-, p and q being prime 

 numbers. ' ' 



11. L. B. Diokson, "Fallacies and nrisconeeptions 



in diaphanitine analysis." 



12. L. E. Diekaon, "A new method in di-ophantine 



13. T. H. Hildebrandt, "On a general theory of 



fnnctions — preliminary communication. ' ' 



14. A. Dresden, "Some new formulse in combina- 



tory an'aJysis. ' ' 

 15; J. B. Shaw, "Generational definition of linear 

 associative hypernumbers. ' ' 



16. J. B. Sham, "On Hamiltonian products — Sec- 



ond paper. ' ' 



17. F. E. Wood, "Congruences characterized by 



certain coincidences. ' ' 



18. E. P. Lane, "A general theory of con- 



gruences. ' ' 



19. J. Eiesland, "The group of motions of an 



Einstein space." 

 Professor Sehwatt's papers -were presemted by 

 Professor Ihinham Jackson; Mr. MacDuffee was 

 initroduced to the society by Professor L. E. 

 Dickson and Professor Wood by Professor Wilc- 

 zynskd; the papers of Professors Miller and Lane 

 were read by title. Professior Bliss, president of 

 the society, presided at the meeting of Eriday 

 afternoon. The other sessions were presided over 

 by Professor R. D. Carmiehael, chairman of the 

 Chicago Section, relieved on Saturday by Pro- 

 fessor Dunham Jackson, vice-ipresident of the so- 

 ciety. 



Arnold Dresden, 

 Secretary of the Chicago Section 



THE AMERICAN ASSOCIATION FOR 



THE ADVANCEMENT OF SCIENCE 



PACIFIC DIVISION 



1. REPORT OF THE SECRETARY-TREASURER TOR THE 



CALENDAR TEAR ENDING DECEMBER 31, 1920 



January 1, 1920, Cash balance $524.72 



Received from the Permanent 



Secretary's office $1,764.00 



Affiliated societies 115.00 



Dues and fees 272.00 $2,151.00 



$2,675.72 



Expenditures 



Dues remitited to Permanent 



Secreitary 's ofSce $141.00 



Supplies 18.00 



Salary, 1920 825.00 ■ 



Salary, 1919 75.00 



Office assistance 300.00 



Postage and exjiress 37.67 



Telephone and telegraph .... 8.20 



Expense, general 5.40 



Espense, travel 208.50 



Priniting 133.40 



Membership campaign 76.25 $1,828.42 



January 1, 1921, Cash balance $847.30 



2. BALANCE SHEET, DEOEMBEB 31, 1920 



Assets 



Equipment $235.73 



Cash on hand 847.30 



$l7r83^"3 



Permanent Secretary's office $747.30 



Investment (equipment) 235.73 



Sundry creditors account 100.00 



$i7o83;m 



3. SUMMARY OF ANNUAL DISBURSEMENTS FOR THE 

 YEAR 1920 



Supplies $18.00 



Salary 900.00 



Office assistance 300.00 



Postage and express 37.67 



Telephone and telegraph .... 8.20 



Expense, general 5.40 



Expense, travel 208.50 



Printing 133.40 



Memibershiip campaign 76.25 $1,687.42 



These dislbursements have been 

 made from funds derived 

 as follows: 



AfiHiated societies ( assess- 

 ments) 115.00 



Initiation fees 163.00 



Receipts fxom the Permanent 



Secretary's office 1,409.42 $1,687.42 



W. W. Sargeant, 

 Secretary, Pacific Division 



