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

Talks Given at Section Meetings, 1947-1956

Section Meeting 58: George Washington University, May 3, 1947

1. A geometrical approach to Frandtl-Meyer flow
   Professor M. H. Martin, University of Maryland
2. Some properties of pointwise periodic transformations
   E. E. Floyd, University of Virginia
3. Leonard and Thomas Digges—their contribution to practical measurement
   Professor W. F. Shenton, American University
4. Formulas for numerical quadrature
   Professor E. J. McShane, University of Virginia
5. The use of transformations in college geometry
   Professor A. W. Tucker, Princeton University, invited speaker

Section Meeting 59: University of Maryland, December 6, 1947

1. Homotheticity—an effective tool in proving certain types of theorems in geometry
   Professor 0. J. Ramler, Catholic University
2. Rotors in polygons,
   Dr. M. Goldberg, Bureau of Ordnance, Navy Department
3. A trigonometric identity
   Dr. A. L. Whiteman, Navy Department
4. The sound of a projectile moving at supersonic speed
   Professors S. B. Jackson and M. H. Martin, University of Maryland
5. The first year course in college mathematics
   Professor E. J. McShane, University of Virginia, invited speaker

Section Meeting 60: United States Naval Academy, May 8, 1948

1. Some new algorithms
   Captain N. A. Draim, U. S. Navy
2. Recent advances in the Brun approach to the Goldbach problem
   Dr. R. C. Rand, U. S. Naval Academy
3. On the number of solutions of the equation kφ(n)=n-1
   Dr. G. F. Kramer and Dr. H. H. Campaigne, Navy Department
4. Roots of numerical equations by number sequences
   Professors John Tyler and J. P. Hoyt, U. S. Naval Academy
5. The veteran and the accelerated course in mathematics
   W. H. Norris, Veteran's Center, Norfolk, VA
6. American mathematics turns useful
   M. H. Slud, Catholic University

Section Meeting 61: Johns Hopkins University, December 4, 1948

1. The logarithmic function is unique
   Professor Joseph Milkman, U. S. Naval Academy
2. On the differential equation y' = f(y)
   Dr. Sylvan Wallach, The Johns Hopkins University
3. Evaluation of roots of a polynomial by successive square roots
   Professor John Tyler, U. S. Naval Academy
4. Modifications of authalic projections
   Mr. P. D. Thomas, U. S. Coast and Geodetic Survey
5. A unified theory of special junctions
   Dr. C. A. Truesdell, Naval Research Laboratory

Section Meeting 62: University of Virginia, May 14, 1949

1. Application of matrix algebra to the solution of normal equations
   Mr. J. L. Stearn, U. S. Coast and Geodetic Survey
2. Steady rotational plane flow of a gas
   Professor M. H. Martin, University of Maryland
3. Some remark s concerning the symbolics in vector analysis
   M. M. Munk, Naval Ordnance Laboratory
4. Visual education-the slide rule
   Professor W. F. Shenton, American University
5. A theorem on local convexity
   Mr. V. L. Klee, Jr., University of Virginia
6. The Russian peasants' method of multiplication
   Mr. Sidney Kaplan, Naval Ordnance Laboratory
7. Non-digital computing devices in the teaching of mathematics
   Professor Randolph Church, U. S. Naval Postgraduate School

Section Meeting 63: American University, December 10, 1949

1. A Sturmian separation theorem
   Professor C. Gras, U. S. Naval Academy
2. Nonlinear transformations of divergent and slowly convergent sequences
   Mr. Daniel Shanks, Naval Ordnance Laboratory
3. Mathematical requirements for the personnel of a computing laboratory
   Dr. R.F. Clippinger, Aberdeen Proving Ground
4. On the minimum in a sequence of random variables
   Dr. M. L. Juncosa, The Johns Hopkins University
5. Roulettes in gas dynamics
   Prof. M. H. Martin, University of Maryland, Invited Address

Section Meeting 64: University of Richmond, May 6, 1950

1. The constants of integration of a differential equation as differential forms
   Professor John Tyler, U. S. Naval Academy
2. Some characterizations of compactness
   Professor V. L. Klee, Jr., University of Virginia
3. Rotors in polyhedra
   Mr. Michael Goldberg, Bureau of Ordnance, Navy Department
4. On finding √a+bi
   Mr. Sidney Kaplan, U. S. Department of Labor
5. Undergraduate research
   Professor E. R. Sleight, University of Richmond
6. Some applications of partitionings
   Professor R. H. Bing, University of Wisconsin and University of Virginia, Invited Address

Section Meeting 65: Catholic University of America, December 9, 1950

1. Finding the needle in the haystack
   Dr. G. F. Cramer and Dr. H. H. Campaigne, Navy Department (Presented by Dr. Campaigne)
2. A summation process
   Miss Barbara McGehee, University of Richmond
3. Isotopy and projective planes
   Professor J. C. Abbott; U. S. Naval Academy
4. Connected subsets of a line
   Professor D. W. Hall, University of Maryland
5. Effective processes and turing machines
   Mr. W. W. Boone, Catholic University of America, invited address

Section Meeting 66: United States Naval Academy, April 28, 1951

1. The method of enclosures for nonlinear differential equations
   Professor R. Craw, U. S. Naval Academy
2. Some curves associated with laws of growth
   Professor C. H. Frick, Mary Washington College
3. Na pier and his logarithms
   Miss Stirling Clark, University of Richmond
4. Closure and complementation as operators
   M r. R. L. Eiseman, University of Maryland
5. An application of elliptic functions to plane flow
   Professor J. 0. Tierney, U. S. Naval Academy
6. On truncation error and stabilit y
   Professor W. W. Leutert, University of Maryland, Invited Address

Section Meeting 67: National Bureau of Standards, December 8, 1951

1. The squaring of developable surfaces
   Mr. Michael Goldberg, Bureau of Ordnance, Navy Department
2. N-dimensional Hermite polynomials
   Professor Joseph Milkman, U. S. Naval Academy
3. Partial differential equations and differential operators
   Dr. L. V. Robinson, Aberdeen Proving Ground
4. A class of spirals
   Professor S. B. Jackson, University of Maryland
5. John Warner's mathematical exercises
   Professor W. F. Shenton, The American University
6. Use of an electronic analogue machine as a curve fitting device
   Mr. C. H. Murphy, Jr., Ballistic Research Laboratories, Aberdeen Proving Ground
7. Round table discussion on modern numerical analysis and college mathematics
   Dr. J. H. Curtiss, National Bureau of Standards Applied Mathematics and Mr. John Todd, Mr. H. E. Salzer, and Mrs. Ida Rhodes, National Bureau of Standards Computation Laboratory

Section Meeting 68: Virginia Military Institute, April 26, 1952

1. The partial differential equations of visco-elastic materials
   Professor R. E. Smith, College of William and Mary
2. Some novel sequences
   Professor E. S. Grable, University of Richmond
3. Solution of a most general form of the Clairaut equation by differential operator methods
   Dr. L. V. Robinson, Aberdeen Proving Ground
4. A proposed course for college freshmen
   Professor W. E. Byrne, Virginia Military Institute
5. Proposals for future activities of the section
   Professor S. B. Jackson, University of Maryland
   Professor Ella C. Marth, Wilson Teachers College
   Professor Florence M. Mears, George Washington University
   Miss Veryl G. Schult, District of Columbia Public Schools; presented by Miss Schult
6. Some remarkable theorems about areas
   Dr. L. R. Ford, Emeritus Professor of Mathematics, Illinois Institute of Technology, Invited Address

Section Meeting 69: Howard University, December 6, 1952

1. Multilinear forms, n-ics and polynomials on a Hilbert space
   Professor Joseph Milkman, U. S. Naval Academy
2. A new configuration associated with the osculating quadrics at a point of an analytic surface
   Mr. P. D. Thomas, Ballistic Research Laboratories
3. Elementary techniques in maxima and minima
   Professor J. A. Tierney, U. S. Naval Academy
4. The review course in calculus at the United States Department of Agriculture Graduate School
   Mr. Sidney Kaplan, Comptroller of the Army and United States Department of Agriculture Graduate School
5. The Stieltjes integral
   Professor E. J. McShane, University of Virginia, Invited Address

Section Meeting 70: Naval Proving Ground, Dahlgren, VA, May 2, 1953

1. On the expansion of a function in a continued fraction by means of confluent reciprocal differences
   Mr. J. E. Barker, U. S. Naval Proving Ground
2. The condition of a matrix
   Mr. John Todd, Computation Laboratory, National Bureau of Standards
3. Jump mechanics
   Professor John Tyler, U. S. Naval Academy
4. Real-valued continuous functions defined on spheres
   Mr. R. D. Johnson, University of Virginia
5. The logical design of the Dahlgren calculators
   Mr. R. A. Niemann, U. S. Naval Proving Ground
6. Certain problems of approximation using Bernoulli and Euler polynomials
   Professor D. C. Lewis, Jr., The Johns Hopkins University, Invited Address

Section Meeting 71: George Washington University, December 5, 1953

1. A natural approach to the fundamental theorem of the integral calculus
   Professor J. P. Hoyt, U. S. Naval Academy
2. The Ballistic Research Laboratories' Geda
   Mr. C. H. Murphy, Jr., Ballistic Research Laboratories, Aberdeen Proving Ground
3. A remark on a result of Leighton
   Professor Choy-tak Taam, The Catholic University of America
4. Cyclically-ordered sets and separation theorems
   Dr. M. I. Aissen, Radiation Laboratory, The Johns Hopkins University
5. Analysis and the undergraduate
   Professors D. W. Hall and G. L. Spencer, II, University of Maryland, invited address

Section Meeting 72: University of Maryland, May 1, 1954

1. Some practical and theoretical applications of the transportation problem
   Dr. A. J. Hoffman, National Bureau of Standards
2. Random numbers for high speed computers
   Mr. J. M. Cameron and Dr. Morris Newman, National Bureau of Standards, presented by Dr. Newman
3. On the limit of the coefficients of a certain eigenfunction series
   Professor Luna Mishoe, Morgan State College
4. The propagation of error in numerical integrations
   Dr. M. M. Lotkin, Ballistic Research Laboratories, Aberdeen Proving Ground
5. Arcs of monotone curvature with prescribed end conditions
   Professor S. B. Jackson, University of Maryland
6. Controlled random walks
   Professor David Blackwell, Howard University

Section Meeting 73: Georgetown University, December 4, 1954

1. (a) Evaluation of a certain finite sum; (b) A case of superiority of numerical integration over integration in closed form
   Professor C. L. Beckel, Georgetown University
2. On the uniform convergence of a certain eigenfunction series
   Professors L. I. Mishoe and Gloria C. Ford, Morgan State College, presented by Miss Ford
3. On certain solutions of B(y)u_xx + u_yy
   Professor E. C. Watters, U. S. Naval Academy
4. Hitting the mark
   Mr. G. T. Williams, Operations Research Office, Johns Hopkins University
5. The discriminant of a polynomial of special type
   Professor J. E. Houle, Georgetown University
6. Report on the High School Mathematics Contest
   Mr. W. H. Norris, Maury High School, Norfolk, VA
7. The circulation index in topological analysis
   Professor G. T. Whyburn, University of Virginia

Section Meeting 74: Morgan State College, April 16, 1955

1. Digitalization of war games
   Dr. W. W. Leutert, Computing Laboratory, Aberdeen Proving Ground
2. Rotors, plane and fancy
   Mr. Michael Goldberg, Department of the Navy, Invited Address At this meeting, the Section joined with several other scientific societies on the occasion of the dedication of Calloway Hall and the new Science Quadrangle at Morgan State College. The following were joint sessions with the other societies. * A Laboratory for Learning Dr. F. G. Watson, Harvard University * Implications of Current Developments in Physics Dr. G. P. Harnwell, President, University of Pennsylvania

Section Meeting 75: Catholic University of America, December 3, 1955

1. Evaluation of the definite integral ∫₀^∞(u^-1exp(-φ²u/4 - u^-1)du
   Professor Anne E. Scheerer, Georgetown University
2. Generalized complex numbers and addition formulas
   Professors John Tyler (ret.) and J. A. Tierney, U. S Naval Academy, presented by Professor Tierney
3. Two theorems of plane geometry suggested by certain formulae in kinematics
   Professor J. P. Hoyt, U. S. Naval Academy
4. Numerical solution of ordinary linear differential equations
   Dr. C. H. Frick, U. S. Naval Proving Ground.
5. An approximate solution of a system of non-linear equations
   Mr. C. H. Murphy, Jr., Aberdeen Proving Ground
6. Weakly compact transformations
   Professor J. W. Brace, University of Maryland
7. The evolution of extended decimal approximations to ? and e
   Dr. J. W. Wrench, Jr., David Taylor Model Basin, invited address

Section Meeting 76: United States Naval Academy, May 5, 1956

1. The coloring of maps
   Professor R. W. Rector, U. S. Naval Academy
2. Aliquot sequences (preliminary report)
   Mr. G. A. Paxson, U. S. Army, Fort Meade, MD
3. A graphical method of determining the instantaneous center of zero acceleration of a rigid body having plane motion
   Professor J. P. Hoyt, U. S. Naval Academy
4. A set of predictor and corrector formulas for the numerical solution of ordinary differential equations
   Dr. C. H. Frick and Mr. J. E. Mulligan, Jr., U. S. Naval Proving Ground, Dahlgren, VA, presented by Mr. Mulligan
5. A Carnegie Foundation project in modern mathematics for college sophomores (preliminary report)
   Professor R. V. Andree, University of Oklahoma and Haverford College
6. The national status of mathematics contests in secondary schools
   Professor D. B. Lloyd, District of Columbia Teachers College
7. Commutativity of finite matrices
   Dr. Olga Taussky-Todd, National Bureau of Standards

Section Meeting 77: College of William and Mary, December 1, 1956

1. A unique formula for the ratio of the areas of two triangles, the one formed by transversals through the vertices of the other
   Professor S. T. Gormsen, Virginia Polytechnic Institute
2. The place of mathematics in Austrian education
   Professor Herta T. Freitag, Hollins College
3. The geometry of the compass
   Professor L. S. Shively, Bridgewater College
4. A theorem concerning the Bernstein polynomials
   Mr. H. W. Gould, University of Virginia
5. On the Gibb's phenomenon in the eigenfunction series associated with a non-self­adjoint differential equation
   Professor L. I. Mishoe, Morgan State College.
6. Contribution to the theory of the blunderbuss
   Mr. Peter Treuenfels, Ballistics Research Laboratory, Aberdeen Proving Ground
7. Panel Discussion: The National High School Mathematics Contest
   Professor R. P. Bailey, U. S. Naval Academy (Former Chairman, National Contest Committee)
   Mr. W. H. Norris, Norfolk Public Schools (Chairman, MD-DC-VA Contest Committee)
   Professor D. B. Lloyd, D. C. Teachers College (Former Chairman, NCTM Contest Committee)
8. A Plea for changed attitudes toward science
   Dr. B. C. Dees, Assistant Director of Scientific Personnel and Education, National Science Foundation, Invited Address