OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 13, NUMBER 3 ISSUE NO. 89 APRIL, 1966 cNotiaiJ OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. \\' alker CONTENTS MEETINGS Calendar of Meetings • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 2 84 Program of the April Meeting in New York. • • • . • • • • • • • . • • • • • • • • 285 Abstracts for the Meeting- Pages 324-347 Program of the April Meeting in Honolulu • • • • • • • • • • • • • • • • • • • • • • 293 Abstracts for the Meeting- Pages 348-357 Program of the April Meeting in Chicago • • • • • • • • • • • • • • • • • . • • • • 297 Abstracts for the Meeting- Pages 358-375 PRELIMINARY ANNOUNCEMENTS OF MEETINGS.. • • • • • • • • • • • • • • • • • • 304 ACTIVITIES OF OTHER ASSOCIATIONS • • • • • • • • • • • • • • • • • . • • • • • • . • 311 1966 INTERNATIONAL CONGRESS OF MATHEMATICIANS . • . • • • • • • • . • • • 312 COMMITTEE ON SUPPORT OF RESEARCH IN THE MATHEMATICAL SCIENCES................ 314 ASSISTANTSHIPS AND FELLOWSHIPS............................ 316 GRADUATE COURSES....................................... 316 PERSONAL ITEMS......................................... 318 NEWS ITEMS AND ANNOUNCEMENTS. •••.•••••.•••••••••••• 313, 315, 320 SUPPLEMENTARY PROGRAM- Number 38........................ 321 MEMORANDA TO MEMBERS The Mathematical Sciences Employment Register • • • • • • • • • • • • • • • • 323 Change of Address • • • • • • • • • • • . • • • • • • • • • • . • • • • • • • • • • • • • • 323 ABSTRACTS OF CONTRIBUTED PAPERS.......................... 324 INDEX TO ADVERTISERS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 413 RESERVATION FORM • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 414 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the c}/otiai) was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet- Deadline ing Date Place for No. Abstracts* 635 june 18, 1966 Victoria, British Columbia May 4 August Z9 - September Z, 1966 (71st Summer Meeting) New Brunswick, New jersey july 8 January Z4-Z8, 1967 ( 73rd Annual Meeting) Houston, Texas August Z8 -September 1, 1967 (7Znd Summer Meeting) Toronto, Ontario, Canada january, 1968 (74th Annual Meeting) San Francisco, California *The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ llnes also apply to news items. The next two deadline dates for the by title abstracts are April Z8, and july 1, 1966. --.--- -·~---- The cN'otiaiJ of the American Mathematical Society is published by the Society in January, February, April, June, August, October, November and December. Price per annual volume is $7.00. Price per copy $2.00. Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, J'.O. Box 6248, Providence, Rhode Island 02904. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August4, 1947 (Sec. 34,21, P. L. and R.). Accepted for mailing at the special rate of Postage provided for in section 34,40, paragraph (d). Copyright«), 1966 by the American Mathematical Society Printed in the United States of America Six Hundred Thirty-Second Meeting Waldorf-Astoria Hotel New York, New York April 4-7, 1966 PROGRAM The six hundred thirty-second meet­ four sessions on the afternoon of Tuesday, ing of the American Mathematical Society April 5, on Wednesday, April 6, and on the will be held at the Waldorf-Astoria Hotel morning of Thursday, April 7, as follows: in New York on April4-7, 1966. All sessions will be held in public rooms of the hotel. Session I. Computation w-ith symbolic By invitation of the Committee to and algebraic data. Select Hour Speakers for Eastern Sec­ Session II. Numerical methods for com­ tional Meetings, there will be two addresses. puters. Professor Walter Feit of Yale University Session III. Software systems; mechanical will speak on Monday, April 4, at 2:00P.M. linguistics, computer analy­ in the Sert Room. The title of his lecture sis of language. is "Modular representations of finite Session IV. Theory of automata; artificial groups" Professor Tsuneo Tamagawa of intelligence. Yale University will address the Society on Tuesday, April 5, at 11:00 A.M. in the Sert Room. His lecture is entitled" Z-func­ The subject of the Symposium was tions of simple algebras." The Sert Room chosen by the Committee on Applied Math­ is at the northwest corner of the main floor ematics which consisted of A. H. Taub (the corner nearest to Park Avenue and (Chairman), V. Bargmann, G. E. Forsythe, Fiftieth Street) and is near the registration C. C. Lin, Alfred Schild, and H. S. Wilf. area. Financial support comes from the Air There will be sessions for contrib­ Force Office of Scientific Research, the uted papers on Monday morning and after­ Institute for Defense Analyses, and the noon and on Tuesday morning, April 4 and U. S. Army Research Office--Durham. 5. There is room for a limited number of The Association for Computing Machinery late papers. and the Association for Symbolic Logic are co-sponsoring the Symposium. THE ASSOCIATION The Invitations Committee, respon­ FOR SYMBOLIC LOGIC sible for the planning of the program and the choice of speakers, consists of Jack The Association for Symbolic Logic Schwartz (Chairman), Courant Institute of will meet in the same hotel, also on April Mathematical Sciences; Martin Davis, 4. Their program includes an invited ad­ Courant Institute of Mathematical Sciences; dress by Professor Hilary Putnam of Har­ H. H. Goldstine, IBM Research Center; vard University. The complete program D. H. Lehmer, University of California; is reproduced on page 311 in the section on John Todd, California Institute of Tech­ activities of other associations. nology; H. S. Wilf, University of Pennsyl­ vania; Calvin C. Elgot, IBM Research Cen­ SYMPOSIUM ON MATHEMATICAL ter; Saul Gorn, University of Pennsylvania; ASPECTS OF COMPUTER SCIENCE Harry Huskey, University of California; and Anthony G. Oettinger, Harvard Univer­ The Symposium will be presented in sity. 285 REGISTRATION can take a shuttle bus to the west side ter­ minal and use the Independent Subway Sys­ The registration desk for attendance tem (E or F cars) to the 53rd Street stop. at the meeting will be in the Terrace Court Those arriving by car will find on the main floor near the west end of the many parking facilities in the neighborhood hotel (the Park Avenue entrance). It will be in addition to those at the hotel. Pickup and open Monday through Wednesday, April4-6, delivery service can be arranged through from 9:00 A.M. to 5:00 P.M. and on Thurs­ the hotel at a cost of $3.25 for a 24-hour day, April 7, from 9:00 A.M. till noon. period, plus $1.25 for each pickup-delivery. TRAVEL ROOM RESERVATIONS The Waldorf-Astoria occupies an Persons intending to stay at the entire city block on the east side of New Waldorf-Astoria should make their own York City, from 49th to 50th Street and reservations with the hotel. A reservation from Lexington to Park Avenues. blank and a listing of room rates was on Those arriving by train at Pennsyl­ page 278 of the February issue of the vania Station may take the Independent Notices. There was a deadline of March 21 Subway System (E or F cars) to the 53rd mentioned with the reservation form, a Street and Lexington Avenue stop, a short date which may well precede receipt of walk from the hotel. this program. From Grand Central Station one may Some persons may wish to be re­ take the I.R. T. Lexington Avenue local sub­ minded that Sloane House, a YMCA Hotel way to the 51st Street stop. for both men and women, is located at 356 Those arriving by bus may take the West 34th Street. They offer a variety of Independent Subway System (E or F cars) services. Some of their rooms are priced from the west side bus terminal. There is as low as $3.15. a shuttle bus service from La Guardia and Kennedy Airports to the East Side Terminal MAIL ADDRESS with a transfer bus to Grand Central ·sta­ tion. (It is suggested that those arriving in Registrants at the meeting may re­ a group of three or more may find it as ceive mail addressed in care of the Ameri­ economical to take a taxi directly to the can Mathematical Society, The Waldorf­ hotel.) Astoria, 301 Park Avenue, New York, New Those arriving at Newark Airport York 10022. PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The papers are scheduled at 15 minute intervals in order that listeners can circulate among sessions. 1:2. maintain the schedule, the time limits will be strictly en­ forced. MONDAY, 10:00 A.M. General Session, Louis XVI Suite, Fourth Floor 10:00-10:10 ( 1) On ~ class of graphs with connectivity 2 Professor M. E. Watkins, University of North Carolina (632-5) 10:15-10:25 (2) Prime z-ideals in C(R). I Mr. M. W. Mandelker, University of Rochester (632-32) 10:30-10:40 (3) Radon and Helly theorems for finite dimensional unbounded sets Professor R. T. Ives, Harvey Mudd College (632-29) 286 10:45-10:55 (4) Positively expansive endomorphisms of compact groups Dr. Murray Eisenberg, University of Massachusetts (632-28) 11:00-11:10 ( 5) Ergodic automorphisms on compact groups Professor Ta-Sun Wu, University of Massachusetts (632-64) 11:15-11:25 ( 6) Oscillations of arithmetical functions Professor Emil Grosswald, University of Pennsylvania (632-21) 11:30-11:40 ( 7) Linear separability of switching functions Professor A.