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Projects and Publications of the Applied Mathematics Projects and Publications of the NATIONAL APPLIED MATHEMATICS LABORATORIES A QUARTERLY REPORT April through June 1951 NATIONAL APPLIED MATHEMATICS LABORATORIES of the NATIONAL BUREAU OF STANDARDS . S NATIONAL APPLIED MATHEMATICS L A P 0 P A T 0 R I E April 1 through June 30, 1951 ADMINISTRATIVE OFFICE John Curtiss, Ph.P. Chief H. , Edward W. Cannon, Ph.D. Assistant Chief , Olga Taussky-Todd, Ph.D., Mathematics Consultant , Myrtle R. Kellington, M. A. ' Technical Aid Luis 0. Rodriguez, M.A. Chief Clerk , John B. Tallerico, B.C.S. Assistant Chief Clerk , Elsie L. Husman, Secretary (Calif.) Jacqueline B. Jones, Secretary Violet C. Jordan, Secretary Shirley C. Schleter, B. Secretary A. , Esther L. Turner, Secretary INSTITUTE FOR NUMERICAL ANALYSIS COMPUTATION LABORATORY Los Angeles, California Fritz John, Ph.D Director of Research John Todd, B.S Chief Magnus R. Hestenes, Ph.D. .. .Assistant Director and UCLA Liaison Officer Franz L. Alt, Ph.D ....... .Assistant Chief Harry D. Huskey, Ph.D Asst. Director for Math’ 1 Services Elliott W. Montroll, Ph.D Consultant Gertrude Blanch, Ph.D. .. .Assistant to the Director (Numerical Analysis) Milton Abramowitz, Ph.D Mathematician Albert S. Cahn, Jr., M.S Assistant to the Director (Administration) William H. Du r fee, Ph.D Mathematician Research Staff Andre N. Gleyzal, Ph.D Mathematician Forman S. Acton, D.Sc Mathematician Alan J. Hoffman, Ph.D Mathematician Shmuel Agmon, Ph.D UCLA Research Associate Donald 0. Larson, B.S Mathematician Lipman Bers, Ph.D Mathematician Joseph H. Levin, Ph.D Mathematician George E. Forsythe, Ph.D... Mathematician Murray Mannos, Ph.D Mathematician John W. Green, Ph.D UCLA Research Associate Fritz Oberhettinger, Ph.D .AU* Research Associate Cornelius Lanczos, Ph.D.... Mathematician Herbert E. Salzer, M.A Mathematician William E. Milne, Ph.D Mathematician Leland W. Sprinkle, B.A Mathematician Theodore S. Motzkin, Ph.D.. UCLA Research Associate Irene A. Stegun, M.A Mathematician Lowell J. Paige, Ph.D UCLA Research Associate Charles J. Swift, Ph.D Mathematician J. Barkley Rosser, Ph.D.... UCLA Research Associate Norman A. Wiegmann, Ph.D Mathematician David S. Saxon, Ph.D Physicist Computing Staff Isaac J. Schoenberg, Ph.D.. UCLA Research Associate Ruth K. Anderson, M.A. Marvin L. Stein, Ph.D Mathematician Paul G. Baird, B.S. Marlee E. Johnson, B.S. J. G. Van der Corput, Ph.D. UCLA Research Associate Oneida L. Baylor Joseph B. Jordan, B.A. Wolfgang R. Wasow, Ph.D.... Mathematician Joseph Blum, M.A. Norman Levine, B.S. Graduate Fellows Hans 0. Bremer, B.A. David S. Liepman Donald G. Aronson, B. S. Robert M. Hayes, M.A. Roll a L. Brooks, B.S. Samuel Mallos, M.A. Harold P. Edmundson, M.A. Thomas E. Kurtz, B.A. Robert B. Bryce, B.A. Frank B. Meek, M.A. John H. Gay, B. E.P. Theodore D. Schultz, B. F.. P. Donald A. Buck Michael S. Montalbano, B.A. Robert K. Golden, M.S. William H. Warner, B.S. William F. Cahill, M.S. Kermit C. Nelson James P. Wesley, M.A. Ruth E. Capuano Peter J. O’Hara, B.S. Mathemai tical Services Unit Anne R. Cock, B.A. Mary Orr Arnold D. Hestenes, Ph.D Mathematician Edwin A. Conmy Jerald Parsons Marvin Howard, M.S Mathematician Natalie Coplan, B.A. Donald S. Park, B.A. Roselyn S. Lipkis, B. A Mathematician Melchoir J. DLCarlo-Cottoiie, B.S. Maxine L. Paulsen, B.S. Harold Luxenberg, Ph.D Mathematician Ruth M. Davis, B.A. Anabelle W. Phelps, M.A. Leslie H. Miller, Ph.D . .Mathematician Bernard C. Dove, B.A. Solomon L. Pollack, B.S. Robert R. Reynolds, M.S Mathematic! an Mary M. I\inlap, B.S. B. Stanley Prusch Everett C. Yowell, Pn.D Mathematician Frances R. Froberger, B.A. Max Rosenberg, B.A. Computing dtafi Leon Gainen, B.S. Donald I. Rubin, M.S. Patricia B. Bremer, B. A. Shirley L. Marks, M.A. Lewis F. Garrett, B.A. Warren M. Russell Leola Cutler, B. A. William 0. Paine, Jr. Elizabeth F. Godefroy • Norman Sheer Edward D. Fisher, B.S. Elmer E. Osborne, M.A. Karl Goldberg, M.A. Ruth C. Shepard, B.S. Alexandra I. Forsythe, M.A. John A. Postley, B.A. Allen A. Goldstein, B.A. Milton Siegel, B.S. Lillial Forthal, B.A. Nan N. Reynolds, M.S. Lester H. Gordon, B.A. Wallace R. Soderquist, M.S. Gladys P. Franklin, B.S. La Verne E. Rickard, M.A. (UCLA) Wanda P. Gordon, B.A. Milton Stein Ruth B. Horgan, B.A. Albert H. Rosenthal, B.A. Stanley D. Grant, Jr. Frank J. Stocknal, B.A. Gerald W. Kimble, B.A. M. Winifred Smith Shirley M. Gunther, B.S. Gretchen Stolle, M.A. Thanas D. Lakin Louise M. Straus, M.A. Helen V. Hanrnar, B.S. Ellen V. Stubblefield Norma Logel, B.S. Lindley S. Wilson, M.A. Benjamin F. Handy, Jr., M.S. Joseph E. Tucker, Jr., B.S. Machine Development and Electronic Laboratory Staff Genevie Hawkins, B.S. George E. Turner, B. S. Biagio F. Ambrosio, B.S Electronic Engineer John Hershberger, M.S. Elmer Ullman, B.S. Edward Lacey, M.S Electronic Engineer Viola D. Hovsepian, B.S. Bertha H. Walter Brent H. Alford cdward D. Martinolich Dorothea H. Jirauch, M.A. Henry L. Weissbecker, B.S, Arnold Do lmatz, B.S. Kenneth J. Millikin (UCLA) Lambert S. Joel, B.A. Karl T. Wilder, B. E. E. Blanche C. Eidem Charles A. Mitchell, II Ruth Zucker, B.A. Gaylor W. Jones Wallace J. Moore (UCLA) M. Charlotte Case Secretary Louis E. Justice, B. S. E. E. John L. Newberger, B.A. Florence P. Griffith Secretary Harry T. Larson, B.S. Eugene M. Rector, B.S. Dolores M. Mayer Secretary Norman F. Loretz, B.S. Dean W. Slaughter (UCLA) Lillian Sloane Secretary Michael J. Markakis, B. E. James W. Walsh Admin i strati ve Unit * American University. Dora K. Madoff Administrative-Assistant Elsie E. Aho Administrative Clerk F. Patricia K. Peed. Librarian Madeline V. Youll, B.A. Library Assistant Velma R. Huskey, B.A... ..Information and Editorial Clerk MACHINE DEVELOPMENT LABORATORY Earle W. Kimball Property and Stock Control Clerk James R. Walker, M.A... Office Machine Operator Secretarial Staff Edward W. Cannon, Ph.D Chief Jean S. Booth Dorothy M. Hibbard Merle M. Andrew, Ph.D Mathematician Gloria E. Bosowski Cecilia R. Leonard Ira C. Diehm, B.S Mathematician Harriet W. Cotton Gertrude Z. Peider Ethel C. Marden, B.A Mathematician Irene M. Everett Ruth A. Stafford Edith T. Norris, B.A Mathematician Margaret W. Gould Reve J. Vineyard Ida Rhodes, M.A Mathematician Katharine C. Warren Otto T. Steiner, B.A Mathematician STATISTICAL ENGINEERING LABORATORY Churchill Eisenhart, Ph.D. Chief Frank Proschan, M.A. Mathematician W. J. Youden, Ph.D Assistant Chief Dan Teichroew, M.A INC* Research Associate Lola S. Deming, M.A Technical Aid David Van Dantzig, Ph.D INC* Research Associate Joseph M. Cameron, M. S. ... Mathematician Marion T. Carson Computer Cyrus Derman, M.A Mathematician Miles Davis Student Assistant Julius Lieblein, M.A Mathematician Vivian M. Frye, B.A Secretary Eugene Lukacs, Ph.D .Mathematical Statistician Virginia E. Sweeny....'. Secretary Mary G. Natrella, Mathematician B.A * University of North Carolina Institute of Statistics. U. S. DEPARTMENT OF COMMERCE NATIONAL BUREAU OF STANDARDS Charles Sawyer, Secretary E. U. Condon, Director Projects and Publications of the NATIONAL APPLIED MATHEMATICS LABORATORIES April through June 1951 Contents Page Index iii Status of Projects as of June JO, 1951 1 Institute foT Numerical Analysis (NBS Section 11.1) 1 Computation Laboratory (NBS Section 11.2) J2 Statistical Engineering Laboratory (NBS Section 11. j) 55 Machine Development Laboratory (NBS Section 11.4) . 58 Lectures and Symposia. 65 Publication Activities ........ 67 Appendix: Numerical Integration oT the Rolling Pullout Equations for an Airplane 74 National Applied Mathematics Laboratories of the National Bureau of Standards Preface This is a report on the activities of Division 11 of the National Bureau of Standards for the period from April 1, 1951? to June 50, 1951. Division li is known as the National Applied Mathematics Laboratories . It is the mission of the Laboratories to perform research and to provide services in various quantitative branches of mathematics, placing special emphasis on the development and exploitation of high-speed numerical analysis and modern statistical methodology. The Laboratories maintain an expert com- puting service of large capacity, and provide consulting services in classical applied mathematics and in mathe- matical statistics. These services are available prim- arily to other federal agencies, but under certain cir- cumstances it is possible to perform work for industrial laboratories and universities. Inquiries concerning the availability of the services of the National Applied Mathematics Laboratories, or con- cerning further details of any of the projects described in this report, should be addressed to the National Applied Mathematics Laboratories, 415 South Building, National Bur- eau of Standards, Washington 25, D. C. Chief Director National Bureau of Standards August 1, 1951. Index of Active Research and Development Projects NOTE: This index Is not intended to .cover the numerous special problem solutions, statistical analyses, and other ad hoc services to Government agencies which form an important part of the work of the National Applied Mathematics Laboratories. These services are, however, fully represented in the body of the report A. Research: Pure Mathematics Miscellaneous studies in pure mathematics 9, 33 B. Research: Numerical Analysis Classical numerical analysis. Research in. .... 32 Conformal mapping. Numerical methods in. , 2 Differential equations. Studies in numerical integration of. 3 DIrichlet problem for certain multiply connected domains. Investigation of Bergman's method for the solution of the. ... 32 Eigenvalues, eigenvectors, and eigenfunctions of linear oper- ators, Calculation of .......
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