The quantity which is considered most important is the build-up factor for a monoenergetic, monoangular beam of photons incident on a slab of finite thickness but infinite extent. This quantity is obtained for a set of discrete values of slab thickness, in mean free paths, over the interval (o,20); incident energy, in units of mc squared, over the interval (1,20); and incident angle, in degrees, over the interval (0,90). Pb and Fe are used for the slab. The processes used to obtain the set of...

Topics: DTIC Archive, PEEBLES, G H, RAND CORP SANTA MONICA CA, *GAMMA RAYS, ABSORPTION COEFFICIENTS,...

Topics: DTIC Archive, BELLMAN, RICHARD, RAND CORP SANTA MONICA CA, *GOLD, *SCHEDULING, MATHEMATICAL...

Topics: DTIC Archive, SWERLING, P, RAND CORP SANTA MONICA CA, *RADAR TARGETS, DETECTION, OSCILLATION,...

Topics: DTIC Archive, SWERLING, P, RAND CORP SANTA MONICA CA, *INERTIAL NAVIGATION, MEASUREMENT,...

Topics: DTIC Archive, SWERLING, P, RAND CORP SANTA MONICA CA, *INERTIAL NAVIGATION, ERRORS, INERTIAL...

Topics: DTIC Archive, BELLMAN, RICHARD, RAND CORP SANTA MONICA CA, *EQUATIONS, *SCHEDULING, FUNCTIONAL...

It is shown that under certain natural conditions the play of a multi-stage game is to a great extent independent ot the payoff function.

Topics: DTIC Archive, Bellman, Richard, RAND CORP SANTA MONICA CA, *GAME THEORY, OPTIMIZATION

Topics: DTIC Archive, DANTZIG, GEORGE B, RAND CORP SANTA MONICA CA, *SCHEDULING, MATHEMATICAL ANALYSIS

This paper presents the results of a series of experiments on the traveling-salesman problem. The purpose of these experiments was to Investigate the efficiency of the linear programming technique in solving this type of problem.

Topics: DTIC Archive, Robacker, J T, RAND CORP SANTA MONICA CA, *SCHEDULING, APPROXIMATION(MATHEMATICS),...

Topics: DTIC Archive, ISAACS, RUFUS, RAND CORP SANTA MONICA CA, *GAME THEORY, DIGITAL COMPUTERS, THEORY

Topics: DTIC Archive, DANTZIG, G B, RAND CORP SANTA MONICA CA, *LINEAR PROGRAMMING, *SCHEDULING,...

Topics: DTIC Archive, ISAACS, RUFUS, RAND CORP SANTA MONICA CA, *GAME THEORY, PARTIAL DIFFERENTIAL...

Topics: DTIC Archive, HARRIS, T. E., RAND CORP SANTA MONICA CA, *RAILROADS, .

Topics: DTIC Archive, Hoag, Malcolm W., RAND CORP SANTA MONICA CA, *SCHEDULING, *OPERATIONS RESEARCH,...

Topics: DTIC Archive, MARCUM, J. I., RAND CORP SANTA MONICA CA, *RADAR TARGETS, *SEARCH RADAR, DETECTION,...

Topics: DTIC Archive, GOMPF, G E, RAND CORP SANTA MONICA CA, *AERIAL WARFARE, PROBABILITY, STATISTICAL...

In a previous report a statistical theory of radar detection was presented in outline form. The mathematical details were omitted. In order that the main ideas and results might be made available as soon as possible. This report contains the mathematics that led to the results presented in Ref. 28. In addition, several subjects are briefly discussed that were not covered in Ref. 28. These are collapsing loss, antenna beam shape loss, the effect of signal injection, limiting loss, and moving...

Topics: DTIC Archive, MARCUM, J. I., RAND CORP SANTA MONICA CA, *TARGET DETECTION, *SEARCH RADAR, THEORY,...

Topics: DTIC Archive, KIRKWOOD, T F, RAND CORP SANTA MONICA CA, *FLIGHT PATHS, *JET FIGHTERS, MATHEMATICAL...

Topics: DTIC Archive, PETERSON, N C, RAND CORP SANTA MONICA CA, *FLIGHT PATHS, *JET AIRCRAFT, MATHEMATICAL...

Topics: DTIC Archive, RAND CORP SANTA MONICA CA, *PSYCHOLOGY, *RADIOLOGICAL WARFARE, SYMPOSIA, ARTIFICIAL...

Topics: DTIC Archive, DAVIS, D J, RAND CORP SANTA MONICA CA, *QUALITY CONTROL, *STATISTICAL ANALYSIS,...

Topics: DTIC Archive, HESTENES, M R, RAND CORP SANTA MONICA CA, *AERIAL WARFARE, *FLIGHT PATHS, DIFFERENCE...

Topics: DTIC Archive, FERGUSON, ALLEN R, RAND CORP SANTA MONICA CA, *AIR TRAFFIC, AIR TRANSPORTATION,...

The determination of optimum solutions to systems of linear inequalities has assumed increasing importance as a tool for mathematical analysis of certain problems in economics, logistics, and the theory of games. This paper develops a theory for avoiding assumptions regarding rank of underlying matrices which has import in applications where little or nothing is known about the rank of some linear inequality system requiring solution.

Topics: DTIC Archive, Dantzig, George B, RAND CORP SANTA MONICA CA, *MATRICES(MATHEMATICS), *SCHEDULING,...

Topics: DTIC Archive, ORCHARD-HAYS, WILLIAM, RAND CORP SANTA MONICA CA, *LINEAR PROGRAMMING, *SCHEDULING,...

Topics: DTIC Archive, Mood, A. M., RAND CORP SANTA MONICA CA, *VULNERABILITY, *VACCINES, PROBABILITY,...

Topics: DTIC Archive, REICH, EDGAR, RAND CORP SANTA MONICA CA, *INFORMATION THEORY, RELIABILITY

Topics: DTIC Archive, KAHN, HERMAN, RAND CORP SANTA MONICA CA, *BINOMIALS, *PROBABILITY, STATISTICAL...

Topics: DTIC Archive, KAHN, HERMAN, RAND CORP SANTA MONICA CA, *MILITARY PLANNING, *OPERATIONS RESEARCH

Topics: DTIC Archive, BELLMAN, RICHARD, RAND CORP SANTA MONICA CA, *SCHEDULING, *STATISTICAL PROCESSES,...

Topics: DTIC Archive, BRODE, H L, RAND CORP SANTA MONICA CA, *BLAST, *NUCLEAR EXPLOSIONS, *STRUCTURES,...

Topics: DTIC Archive, Johnson, Roger P, RAND CORP SANTA MONICA CA, *GUIDED MISSILES, *SUPERSONIC FLOW,...

Topics: DTIC Archive, MENDERSHAUSEN, HORST, RAND CORP SANTA MONICA CA, *COMMERCE, *EAST GERMANY,...

Topics: DTIC Archive, Bellman, Richard, RAND CORP SANTA MONICA CA, *MANAGEMENT ENGINEERING, COMPUTERS,...

Topics: DTIC Archive, Dantzig, George B, RAND CORP SANTA MONICA CA, *LINEAR PROGRAMMING, COMPUTER...

The general steps in proceeding from physical assumptions to numerical answers are outlined for solutions by a Lagrangean coordinate, artificial viscosity method.

Topics: DTIC Archive, Brode, Harold L, RAND CORP SANTA MONICA CA, *SHOCK WAVES, STABILITY, COMPUTER...

Topics: DTIC Archive, Hitch, Charles J, RAND CORP SANTA MONICA CA, *DECISION MAKING, *OPERATIONS RESEARCH,...

Topics: DTIC Archive, Fisher, G H, RAND CORP SANTA MONICA CA, *MANAGEMENT ENGINEERING, *UNITED STATES...

Topics: DTIC Archive, Berman, Edward B, RAND CORP SANTA MONICA CA, *MANAGEMENT ENGINEERING, *MILITARY...

A very simple algorithm for finding a maximal flow and minimal cut in a transportation network is described; it is then applied to obtain an efficient computational routine for the Hitchcock distribution problem.

Topics: DTIC Archive, Ford, Jr , L R, RAND CORP SANTA MONICA CA, *NETWORKS, COMBINATORIAL ANALYSIS,...

Topics: DTIC Archive, Hayes, William Orchard, RAND CORP SANTA MONICA CA, *LINEAR PROGRAMMING, *SIMPLEX...

A unimodel function of one variable is defined on an interval. No regularity conditions involving continuity, derivatives, etc., are assumed. We wish to minimize the number of calculations of values of the function in order to assure the location of its maximum to a prescribed degree of accuracy. The solution of this problem and its discrete analogue involves the well-known Fibonacci sequence.

Topics: DTIC Archive, Johnson, Selmer M, RAND CORP SANTA MONICA CA, *GAME THEORY, *FUNCTIONS(MATHEMATICS),...

Topics: DTIC Archive, Gompf, G E, RAND CORP SANTA MONICA CA, *AERIAL WARFARE, *SURVIVAL(PERSONNEL), AIR...

Topics: DTIC Archive, JONES, W M, RAND CORP SANTA MONICA CA, *JET BOMBERS, *JET FIGHTERS, *DIGITAL...

Topics: DTIC Archive, GILMORE, F R, RAND CORP SANTA MONICA CA, *AIR, *THERMODYNAMICS, CHEMICAL EQUILIBRIUM,...

For several years RAND has investigated means of applying principles of mass-transfer and ablation cooling to problems of atmospheric reentry and to the design of efficient hypersonic flight vehicles. In connection with ablation cooling, this research memorandum examines the binary boundary layer problem. The study should make possible more rapid and reliable estimates of surface cooling methods for use with hypersonic vehicles such as intercontinental ballistic missile nose cones. A binary...

Topics: DTIC Archive, GROSS, J F, RAND CORP SANTA MONICA CA, *HEAT TRANSFER, *ABLATION, *TURBULENT BOUNDARY...

Basic understanding of the physics of the upper atmosphere has been hampered by a lack of sufficient data on the various complex phenomena of that region. During the I.G.Y. the United States spent several hundred million dollars on our part of the International effort to collect raw geophysical data. Much of this was spent specifically for the acquisition of data on the upper atmosphere. This memorandum describes the U.S. I.G.Y. data archives pertaining to the geophysics of the upper...

Topics: DTIC Archive, Greenfield, S M, RAND CORP SANTA MONICA CA, *GEOPHYSICS, *UPPER ATMOSPHERE, AURORAE,...

This memorandum outlines the relation of atomic and ionic impact phenomena to the propagation of electromagnetic waves in the upper atmosphere. Several group efforts are described which are aimed at stimulating research on impact phenomena and related fields in Gaseous Electronics. Descriptions are given of current and projected research in principal laboratories in the United States. The status of the research is summarized and suggestions for further research are presented.

Topics: DTIC Archive, Culver, W H, RAND CORP SANTA MONICA CA, *ELECTROMAGNETIC RADIATION, ATOMIC...

Topics: DTIC Archive, DANTZIG, GEORGE B, RAND CORP SANTA MONICA CA, *DIGITAL COMPUTERS, *RESPIRATION,...

The problem of designing a rotating wire antenna reduces to that of determining a functional relation between cross-sectional area and distance from the axis of rotation, so that the length of the wire is maximized without exceeding the tensile strength of the material at any point. Actually, this solution corresponds to the best-possible approximation to a uniform stress solution in which the tensile stress is equal to the tensile strength at every point along the wire. In obtaining such a...

Topics: DTIC Archive, Frick, R H, RAND CORP SANTA MONICA CA, *ARTIFICIAL SATELLITES, *COMMUNICATION AND...