The Mathematical Association of America Maryland-District of Columbia-Virginia Section

Talks Given at Section Meetings, 1957-1966

Section Meeting 78: Johns Hopkins University, May 4, 1957

(Joint meeting with the Baltimore and Washington sections of SIAM)
1. The Bureau of Ships computer program
   Mr. A. E. Smith, Navy Department
2. The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations
   Dr. T. N. E. Greville, Social Security Administration
3. An interesting fourth order differential system
   Mr. C. H. Murphy, Jr., Aberdeen Proving Ground
4. Solution of the integrodifferential equation of transfer by successive approximation
   Dr. P. M. Anselone, Radiation Laboratory, Johns Hopkins University
5. Matrix analysis for production scheduling and inventory control
   Professor D. N. Chorafas, Catholic University of America
6. Intermittent rotors
   Mr. Michael Goldberg, Bureau of Ordnance, Navy Department
7. Geometry in the mathematics curriculum
   Professor W. L. Chow, The Johns Hopkins University, Invited Address, MAA
8. Quaternions and Clifford numbers
   Professor Marcel Riesz, Institute of Fluid Dynamics, University of Maryland, Invited Address, SIAM

Section Meeting 79: Georgetown University, December 7, 1957

1. Report of the Commission on Mathematics
   Executive Director A. E. Meder, Commission on Mathematics, New York, NY, Invited Address
2. On a "folk theorem" in probability theory
   Professor Eugene Lukacs, The Catholic University of America
3. The Maryland-District of Columbia- Virginia Mathematics Contest
   Professor D. B. Lloyd, District of Columbia Teachers College
4. Vertices of space curves
   Professor C. S. Wolfe, U. S. Naval Academy
5. An equivalent linearization solution of a fourth-order nonlinear system
   Dr. C. H. Murphy, Ballistic Research Laboratories, Aberdeen Proving Ground
6. Nomographic solutions for position relations between a close earth satellite and its observer
   Dr. R. H. Wilson, Jr., Naval Research Laboratory

Section Meeting 80: Randolph-Macon Woman's College, April 26, 1958

1. Certain graphical solutions to the heat conduction equation for an insulated, infinite metal slab
   Mr. W. H. Holter, Atlantic Research Corporation, Alexandria, VA
2. The solution of ordinary differential equations with constant coefficients by analog computer methods
   Professor W. L. Fields, Hampton Institute
3. Advances in automatic programming for digital computers
   Mr. R. F. Reiss, Babcock and Wilcox Co., Atomic Energy Division, Lynchburg, VA
4. Experiments in solving ordinary differential equations
   M r. W. Timlake, Babcock and Wilcox Co., Lynchburg, VA
5. A study of variations in the viewing of a picture
   Professor Herta T. Freitag, Hollins College, and Mr. A. H. Freitag, Hollins College School
6. Cardioids and rolling polygons
   Professor R. C. Yates, College of William and Mary, Invited Address

Section Meeting 81: George Washington University, December 6, 1958

1. A mathematical model for transfer of training
   Professor J. M. Long, College of William and Mary
2. Algebraic compilers for scientific computers
   Mr. R. C. Smith, Applied Science Representative, International Business Machines Corporation
3. On the order of contact of two curves
   Professor S. B. Jackson, University of Maryland
4. On the summability of a certain eigenfunction series
   Professor Luna Mishoe, Morgan State College
5. Practical adaptations of Ferrari' s general quartic solution
   Mr. C. R. White, Artillery Weapon Systems, Aberdeen Proving Ground
6. Weak limit characterization of distributions
   Professor T. P. Liverman, George Washington University
7. A new characterization of group
   Professor Howard Campaigne, American University
8. Tetrahedra equivalent to cubes by dissection
   Mr. Michael Goldberg, Bureau of Ordnance, U. S. Navy
9. Some published USSR research in mathematical economics
   Dr. W. H. Marlow, George Washington University, Invited Address

Section Meeting 82: Goucher College, May 2, 1959

1. On the distribution of prime numbers in arithmetic progressions
   Dr. Daniel Shanks, David Taylor Model Basin
2. Abstract theory of retrieval coding
   Dr. C. J. Maloney, Biological Warfare Laboratories, Ft. Detrick, MD
3. On the calculation, to a high degree of accuracy, of the modified Bessel functions
   Dr. F. D. Murnaghan, David Taylor Model Basin
4. The number of vertices of a convex polytope
   Dr. W. W. Jacobs, American University and Mr. E. D. Schell, Research Center, IBM Corporation, Yorktown Heights, NY
5. The mathematics of contract bridge
   Professor J. A. Tierney, U. S. Naval Academy
6. Number theory and computers
   Dr. Morris Newman, Applied Mathematics Laboratory, National Bureau of Standards
7. The position of mathematics in South American higher education
   Mr. Carlos Fallon, Nems-Clarke Company, Silver Spring, MD

Section Meeting 83: American University, December 5, 1959

1. New contributions to educational research from operations research
   Professor J. M. Long, College of William and Mary
2. On the proof of Godel's incompleteness theorem
   Professor D. B. Lloyd, D. C. Teachers College
3. Elementary combinatorial problems related to a mail-sorting device
   Dr. A. J. Goldman, National Bureau of Standards
4. A note on polynomial interpretation
   Dr. C. H. Frick, Naval Weapons Laboratory, Dahlgren, VA
5. The calculus of relations
   Dean W. L. Duren, University of Virginia
6. Some examples of completely semiassociative and noncommutative loops and algebras
   Professor Volodymyr Bohun-Chudyniv, Morgan State College
7. Hypercomplex methods in the theory of partial differential equations
   Professor J. M. Horvath, University of Maryland
8. An algorithm for the determination of divisibility of one natural number by another
   Professors Herta T. and A. H. Freitag, Hollins College
9. Curvature of rⁿ=cos(nθ)
   Professor R. C. Yates, College of William and Mary

Section Meeting 84: University of Virginia, May 7, 1960

1. Graphical method for the determination of ionic sites with preferential fixation
   Dr. Claude Marmasse, Hollins College
2. On generalized K-nions loops and algebras
   Professor Volodymyr Bohun-Chudyniv, Morgan State College
3. Fourier series and eigenfunction expansions associated with a non-self-adjoint differential equation
   Professor L. I. Mishoe, Morgan State College
4. Dissection of the nonacute triangle and the square into acute triangles
   Mr. P. J. Federico, Patent Office, Washington, DC
5. Fourier transforms
   Professor E. J. McShane, University of Virginia
6. Geometrical theorems for abscissas and weights of Gauss type
   Dr. P. J. Davis, Numerical Analysis Section, National Bureau of Standards
7. Nets and calculus
   Professor B. J. Pettis, University of North Carolina, Invited Address

Section Meeting 85: University of Maryland, December 3, 1960

1. Generalized symmetric random walks
   Mr. Eugene Albert, University of Virginia
2. Preliminary remarks on a distillation problem
   Mr. H. H. Barnett, Automatic Computations Section, The Martin Company, Baltimore, MD
3. Pursuit games of kind
   Dr. Rufus Isaacs, Department of Defense, Weapons System Evaluation Group
4. Probability models for measurement with a linear scale
   Dr. Churchill Eisenhart, Chief, Numerical Analysis Section, U.S. Bureau of Standards.
5. The training of inservice teachers of mathematics
   Dr. C. R. Phelps, Program Director, Academic Year Institutes Program, National Science Foundation
6. Semantic information
   Dr. C. J. Maloney, Bio-mathematics Division, U.S. Army, CmlC Biological Laboratories, Fort Detrick, MD
7. The algebra program in the Soviet Union
   Professor G. H.Miller, State Teachers College at Towson
8. Evolving patterns in mathematical research
   Dr. F. J. Weyl, Office of Naval Research, Invited Address

Section Meeting 86: Aberdeen Proving Ground, April 29, 1961

1. A new characterization of Boolean algebras
   Professor J. C. Abbott and Mr. P. R. Kleindorfer, U. S. Naval Academy
2. On the converging factor for the asymptotic series connected with the exponential integral
   Dr. F. D. Murnaghan, and Dr. J. W. Wrench, Jr., Applied Mathematics Laboratory, David Taylor Model Basin, Washington, DC
3. Two-dimensional slide rule-reduced cubic equation
   Mr. C. R. White, Ballistic Research Laboratories, Aberdeen Proving Grounds
   
4. A procedure for determining a family of minimum-cost network flow patterns
   Mr. R. G. Busacker, Johns Hopkins University
5. Asymptotic behavior in a problem of subsidence
   Mr. J. H. Giese, Ballistic Research Laboratories, Aberdeen Proving Ground
6. On relation of distribution functions to the one-step functions
   Dr. Ceslovas Masaitis, Ballistic Research Laboratories, Aberdeen Proving Ground

Section Meeting 87: Catholic University of America, December 2, 1961

1. Infinite periodic sequences of l's and -l's
   Professor J. P. Hoyt, U. S. Naval Academy
2. Algebra for freshmen
   Professor Jean-Pierre Meyer, Johns Hopkins University
3. On the mean value theorem of the differential calculus
   Dr. J. B. Diaz, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland
4. Methods of message compression
   Mr. W. H. Land, Jr., IBM Communications Center, Federal Systems Division, Rockville, MD
5. Introducing Frederick College
   Professor J. M. Long, Frederick College, VA
6. Some nomograms in conventional dynamic astronomy
   Mr. C. R. White, Aberdeen Proving Ground
7. Some aspects of a calculation of 𝜋 to 100,000 decimals
   Dr. Daniel Shanks and Dr. J. W. Wrench, Jr., Department of the Navy, David Taylor Model Basin, Washington, DC
8. Semantic information
   Mr. C. J. Maloney, U. S. Army Chemical Corps, Fort Detrick, MD
9. Developing city-wide mathematics examinations
   Miss Carol V. McCamman, Calvin Coolidge High School, Washington, D. C.
10. Report on the Meeting of the Mathematical Association of America at Stillwater, Oklahoma, August 1961
    Dr. C. H. Frick, U. S. Naval Weapons Laboratory, Dahlgren, VA

Section Meeting 88: U. S. Naval Weapons Laboratory, Dahlgren, VA, April 28, 1962

1. Vector lattice analogues of two well known theorems
   Mr. J. C. MacPherson, U. S. Naval Academy
2. Monte Carlo synthesis of computer subroutines
   Dr. Carl Hammer and Mr. L. G. Green, Radio Corporation of America, Washington, DC
3. Maxima and minima without calculus
   Professor Emeritus L. R. Ford, Illinois Institute of Technology
4. Rational approximations of several functions in the complex plane
   Dr. A. V. Hershey, U. S. Naval Weapons Laboratory, Dahlgren, VA
5. A simple proof of A. Grothendieck and L. Schwartz's theorem on kernels
   Dr. Witold Bogdanowicz, University of Maryland
6. General linear approximations and general integration rules
   Dr. E. W. Schwiderski, U. S· Naval Weapons Laboratory, Dahlgren, VA
7. Renewal polynomials
   Mr. Harold Kaplan, U. S. Naval Academy

Section Meeting 89: Howard University, December 8, 1962

1. Interpolation with divided differences adapted to a high speed digital computer
   Mrs. F. Marion Clarke, Bendix Radio Division, Baltimore, MD
2. New directions in smoothing
   F. H. Ditto, IBM Corporation, Washington, DC
3. Completely mixed matrix games
   Dr. A. J. Goldman, National Bureau of Standards
4. Functional iterates
   Dr. Rufus Isaacs, Institute for Defense Analyses, Washington, DC
5. A research program for undergraduates
   Professor J. C. Abbott, U. S. Naval Academy, Invited Address
6. The inverse operator in the group of multiplicative arithmetic functions
   Professor J. E. Shockley, College of William and Mary
7. Continuity of random processes
   Professor E. J. McShane, University of Virginia
8. The mathematical solution for a nonhomogeneous linear partial differential equation derived from a heat conduction problem
   H. E. Castro, Dahlgren, VA
9. Representation theory for implication algebra
   Midshipman W. Heard, U. S. Naval Academy

Section Meeting 90: United States Naval Academy, April 27, 1963

1. Tailgater, a simultaneous compiler
   Professor H. Kaplan, U. S. Naval Academy
2. A theory of primes and Cramer's conjecture
   Commander F. B. Correia, USN, U.S. Naval Academy
3. Convex metrics
   Dr. Christoph Witzgall, National Bureau of Standards
4. Error analysis of the magnetic attitude prediction program for the Tiros satellites
   W. H. Land, Jr., IBM Corporation, Bethesda, MD
5. A least squares unit vector per,pendicular to a given set of vectors
   H. E. Castro, U. S. Naval Weapons Laboratory, Dahlgren, VA
6. Ship location by means of an acoustic range
   Professor R. P. Bailey, U.S. Naval Academy.
7. A theorem on convex programming
   Dr. A. ]. Goldman, National Bureau of Standards
8. Men and Mathematics: a Plea for the Historical Sense in Mathematics
   Dr. Philip J. Davis, National Bureau of Standards, Invited Address

Section Meeting 91: American University, December 14, 1963

1. The existence of connected graphs with prescribed degrees
   Jack Edmonds, National Bureau of Standards
2. Modified metric postulates for geometry
   Professor J. E. Lebel, Georgetown University
3. Optimal matchings and degree-constrained subgraphs
   A. J. Goldman, National Bureau of Standards
4. A remark on the contraction theorem
   Philip Meyers, National Bureau of Standards
5. Inversion formulae for characteristic functions of absolutely continuous distributions
   Professor E. Lukacs, Catholic University of America
6. The properties of Zassenhaus refinement in groups and lattices
   Professor L. Janos, George Washington University
7. Controlled quadrature
   Irvin Roman, U. S. Geological Survey, Retired, Baltimore, MD
8. Elementary Analysis in Modern Language
   Dr. F. Joachim Weyl, Office of Naval Research, Invited Address

Section Meeting 92: Westinghouse Defense Center, May 2, 1964

1. Calculus of variations solution for minimum energy transfer between two coplanar circular orbits
   W. H. Land, Jr., IBM Federal Systems Division, Rockville, MD
2. A generalization of Rennie's inequality
   A. ]. Goldman, Operations Research Section, National Bureau of Standards
3. Computer assisted instruction in mathematics
   Joseph Hilsenrath, National Bureau of Standards
4. A note on the use of the Laplace trans!orm and initial conditions in the solution of a system of linear differential equations
   F. Marion Clarke-Carroll, Westinghouse Electric Corporation
5. A new definition of the derivative and some of its consequences
   R. M. Sorensen, Applied Physics Laboratory, The Johns Hopkins University
6. Information Theory
   Brockway McMillan, Under Secretary of the Air Force for Research and Development, Invited Address
7. On the converging factor for the probability integral
   F. D. Murnaghan , David Taylor Model Basin
8. An integral involving the product of two Legendre polynomial derivatives
   Abolghassem Ghaffari, NASA, Goddard Space Fight Center
9. Curves all of whose circumscribed equiangular n-gons are regular
   Michael Goldberg, Washington, DC
10. Apportionment of the United States House of Representatives
    C. H. W. Sedgewick, Bureau of the Census

Section Meeting 93: Goucher College, November 21, 1964

1. On the number of non-equivalent types of triple-systems of order N ≥ 15
   V. Bohun-Chudyniv, Morgan State College
2. Remarks on relaxation methods and computers
   M. N. McAllister, Towson, MD
3. Sifting properties of singularity functions in the solution of linear differential equations
   F. Marion Clarke-Carroll, Westinghouse Electric Corporation, Baltimore, MD
4. Mathematical Theory in Optimization Techniques
   Walker H. Land, Jr., IBM, Bethesda, MD
5. Another look at the so-called Andoyer-Lambert Distance Formulas
   Paul D. Thomas, Coast and Geodetic Survey
6. The application of functional analysis to the solution of differential and integral equations
   Seymour Goldberg, University of Maryland, Invited Address
7. The converse of Banach's contraction theorem
   Philip R. Meyers, National Bureau of Standards
8. Some observations on mathematics in the Middle East
   Daniel B. Lloyd, District of Columbia Teachers College
9. A variant of the two-dimensional Riemann integral
   A. J. Goldman, National Bureau of Standards
10. Commutative semi-groups and pseudo-inverses
    Kenneth D. Taylor, Army Map Service

Section Meeting 94: University of Maryland, May 1, 1965

1. The aims and purposes of the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America
   Samuel Eilenberg, Columbia University, Invited Address
2. Question and discussion period
   
3. What Graduate Schools in the Area Expect of New Students, Panel discussion
   Gustav B. Hensel, Catholic University of America; John D. Miller, University of Virginia; Bruce Reinhart, University of Maryland
4. Question and Discussion period
   

Section Meeting 95: Howard University, December 4, 1965

1. Dynamical Theory of Transformation Groups
   Walter Gottschalk, Wesleyan University
2. Classification and Representation of Dynamical Systems
   Shizuo Kakutani, Yale University
3. Problems in Dynamical Systems Arising in Probabalistic Analysis
   Gian-Carlo Rota, Massachusetts Institute of Technology

Section Meeting 96, College of William and Mary, April 30, 1966

1. The bouncing ball does come to rest
   W. J. Young, Emory and Henry College
2. Application of a differential technique to a difference system
   A. L. Deal, III, Virginia Military Institute
3. A theorem on additive arithmetical junctions
   R. L. Robinson, U. S. Army
4. On trigonometric matrices and their applications
   G. J. Etgen, Headquarters, NASA, Washington, DC
5. An example of optimal control
   G. S. Jones, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, Invited Address
6. On the original Malfatti problem
   Michael Goldberg, Bureau of Naval Weapons, U.S. Navy
7. Plane symmetry groups
   C. M. Makepeace, National Civil Defense Computer Facility, Olney, MD
8. Statistical validation of mathematical computer routines
   Carl Hammer, UNIVAC, Washington, DC

Section Meeting 97: Georgetown University, December 10, 1966

1. Minimum number of subsets to distinguish individual elements
   P. R. Meyers, National Bureau of Standards
2. A note on the Pell equation
   Paul Devine, Jr., George Washington University
3. An extension of Rainville' s classification of simple polynomial sets
   Sister Mary Seraphine Bennett, Mt. Saint Agnes College

1. A note on abelian p-groups and their endomorphism rings
   Eleanor Green Dawley, Hampton Institute
2. Ideals and filters
   C. E. Aull, Virginia Polytechnic Institute
3. The solution of the Dirichlet problem for Poisson's equation by finite difference methods
   E. Hubbard, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland
4. Asymptotic analysis of a first-moment integral and its derivatives
   A. J. Goldman, National Bureau of Standards
5. Stability of nonlinear nonautonomoits systems by the strobosco pic method
   Abolghassem Ghaffari, Goddard Space Flight Center, Greenbelt, MD
6. Let's modernize the teaching of modern mathematics
   G. L. Engel, U. S·Naval Weapons Laboratory, Dahlgren, VA
7. Systems of non-linear equations
   M. A. Hyman, IBM Corporation, Gaithersburg, Maryland

A General Curriculum in Mathematics for Colleges
Professor M. Gweneth Humphreys, Randolph-Macon Woman's College
Professors W. L. Duren, University of Virginia
J. A. Hummel, University of Maryland
G. S. Quinn, The American University